%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 02:47:24 EDT 2022
% Result : Unsatisfiable 0.43s 1.06s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n029.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 : Mon Jul 11 20:19:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.43/1.06 *** allocated 10000 integers for termspace/termends
% 0.43/1.06 *** allocated 10000 integers for clauses
% 0.43/1.06 *** allocated 10000 integers for justifications
% 0.43/1.06 Bliksem 1.12
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Automatic Strategy Selection
% 0.43/1.06
% 0.43/1.06 Clauses:
% 0.43/1.06 [
% 0.43/1.06 [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), ~( 'big_g'( Y ) ), ~( 'big_h'( X
% 0.43/1.06 , Y ) ), 'big_k'( Y ) ],
% 0.43/1.06 [ ~( 'big_f'( X ) ), 'big_h'( X, f( X ) ), ~( 'big_g'( Y ) ), ~( 'big_h'(
% 0.43/1.06 X, Y ) ), 'big_k'( Y ) ],
% 0.43/1.06 [ ~( 'big_f'( X ) ), ~( 'big_j'( X, f( X ) ) ), ~( 'big_g'( Y ) ), ~(
% 0.43/1.06 'big_h'( X, Y ) ), 'big_k'( Y ) ],
% 0.43/1.06 [ ~( 'big_l'( X ) ), ~( 'big_k'( X ) ) ],
% 0.43/1.06 [ 'big_f'( a ) ],
% 0.43/1.06 [ ~( 'big_h'( a, X ) ), 'big_l'( X ) ],
% 0.43/1.06 [ ~( 'big_g'( X ) ), ~( 'big_h'( a, X ) ), 'big_j'( a, X ) ],
% 0.43/1.06 [ ~( 'big_f'( X ) ), 'big_g'( g( X ) ) ],
% 0.43/1.06 [ ~( 'big_f'( X ) ), 'big_h'( X, g( X ) ) ]
% 0.43/1.06 ] .
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 percentage equality = 0.000000, percentage horn = 0.777778
% 0.43/1.06 This a non-horn, non-equality problem
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Options Used:
% 0.43/1.06
% 0.43/1.06 useres = 1
% 0.43/1.06 useparamod = 0
% 0.43/1.06 useeqrefl = 0
% 0.43/1.06 useeqfact = 0
% 0.43/1.06 usefactor = 1
% 0.43/1.06 usesimpsplitting = 0
% 0.43/1.06 usesimpdemod = 0
% 0.43/1.06 usesimpres = 3
% 0.43/1.06
% 0.43/1.06 resimpinuse = 1000
% 0.43/1.06 resimpclauses = 20000
% 0.43/1.06 substype = standard
% 0.43/1.06 backwardsubs = 1
% 0.43/1.06 selectoldest = 5
% 0.43/1.06
% 0.43/1.06 litorderings [0] = split
% 0.43/1.06 litorderings [1] = liftord
% 0.43/1.06
% 0.43/1.06 termordering = none
% 0.43/1.06
% 0.43/1.06 litapriori = 1
% 0.43/1.06 termapriori = 0
% 0.43/1.06 litaposteriori = 0
% 0.43/1.06 termaposteriori = 0
% 0.43/1.06 demodaposteriori = 0
% 0.43/1.06 ordereqreflfact = 0
% 0.43/1.06
% 0.43/1.06 litselect = none
% 0.43/1.06
% 0.43/1.06 maxweight = 15
% 0.43/1.06 maxdepth = 30000
% 0.43/1.06 maxlength = 115
% 0.43/1.06 maxnrvars = 195
% 0.43/1.06 excuselevel = 1
% 0.43/1.06 increasemaxweight = 1
% 0.43/1.06
% 0.43/1.06 maxselected = 10000000
% 0.43/1.06 maxnrclauses = 10000000
% 0.43/1.06
% 0.43/1.06 showgenerated = 0
% 0.43/1.06 showkept = 0
% 0.43/1.06 showselected = 0
% 0.43/1.06 showdeleted = 0
% 0.43/1.06 showresimp = 1
% 0.43/1.06 showstatus = 2000
% 0.43/1.06
% 0.43/1.06 prologoutput = 1
% 0.43/1.06 nrgoals = 5000000
% 0.43/1.06 totalproof = 1
% 0.43/1.06
% 0.43/1.06 Symbols occurring in the translation:
% 0.43/1.06
% 0.43/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.06 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.06 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 0.43/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 'big_f' [40, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.43/1.06 f [41, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.43/1.06 'big_g' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.06 'big_h' [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.06 'big_k' [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.06 'big_j' [46, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.43/1.06 'big_l' [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.06 a [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.43/1.06 g [49, 1] (w:1, o:22, a:1, s:1, b:0).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Starting Search:
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksems!, er is een bewijs:
% 0.43/1.06 % SZS status Unsatisfiable
% 0.43/1.06 % SZS output start Refutation
% 0.43/1.06
% 0.43/1.06 clause( 0, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), ~( 'big_g'( Y ) ),
% 0.43/1.06 'big_k'( Y ), ~( 'big_h'( X, Y ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 1, [ ~( 'big_f'( X ) ), ~( 'big_g'( Y ) ), 'big_k'( Y ), 'big_h'( X
% 0.43/1.06 , f( X ) ), ~( 'big_h'( X, Y ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 2, [ ~( 'big_f'( X ) ), ~( 'big_g'( Y ) ), ~( 'big_h'( X, Y ) ),
% 0.43/1.06 'big_k'( Y ), ~( 'big_j'( X, f( X ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 3, [ ~( 'big_k'( X ) ), ~( 'big_l'( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 4, [ 'big_f'( a ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 5, [ 'big_l'( X ), ~( 'big_h'( a, X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 6, [ ~( 'big_g'( X ) ), ~( 'big_h'( a, X ) ), 'big_j'( a, X ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 7, [ ~( 'big_f'( X ) ), 'big_g'( g( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 8, [ ~( 'big_f'( X ) ), 'big_h'( X, g( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 9, [ 'big_l'( g( a ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 10, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), 'big_k'( g( X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 11, [ ~( 'big_k'( g( a ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 12, [ 'big_g'( f( a ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 13, [ ~( 'big_f'( X ) ), 'big_k'( g( X ) ), 'big_h'( X, f( X ) ) ]
% 0.43/1.06 )
% 0.43/1.06 .
% 0.43/1.06 clause( 15, [ 'big_k'( g( a ) ), 'big_l'( f( a ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 16, [ 'big_l'( f( a ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 17, [ ~( 'big_k'( f( a ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 18, [ ~( 'big_g'( X ) ), 'big_k'( X ), ~( 'big_g'( f( a ) ) ), ~(
% 0.43/1.06 'big_h'( a, f( a ) ) ), ~( 'big_h'( a, X ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 19, [ 'big_k'( f( a ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 20, [ ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 21, [ 'big_k'( g( a ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 23, [] )
% 0.43/1.06 .
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 % SZS output end Refutation
% 0.43/1.06 found a proof!
% 0.43/1.06
% 0.43/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.06
% 0.43/1.06 initialclauses(
% 0.43/1.06 [ clause( 25, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), ~( 'big_g'( Y ) ),
% 0.43/1.06 ~( 'big_h'( X, Y ) ), 'big_k'( Y ) ] )
% 0.43/1.06 , clause( 26, [ ~( 'big_f'( X ) ), 'big_h'( X, f( X ) ), ~( 'big_g'( Y ) )
% 0.43/1.06 , ~( 'big_h'( X, Y ) ), 'big_k'( Y ) ] )
% 0.43/1.06 , clause( 27, [ ~( 'big_f'( X ) ), ~( 'big_j'( X, f( X ) ) ), ~( 'big_g'( Y
% 0.43/1.06 ) ), ~( 'big_h'( X, Y ) ), 'big_k'( Y ) ] )
% 0.43/1.06 , clause( 28, [ ~( 'big_l'( X ) ), ~( 'big_k'( X ) ) ] )
% 0.43/1.06 , clause( 29, [ 'big_f'( a ) ] )
% 0.43/1.06 , clause( 30, [ ~( 'big_h'( a, X ) ), 'big_l'( X ) ] )
% 0.43/1.06 , clause( 31, [ ~( 'big_g'( X ) ), ~( 'big_h'( a, X ) ), 'big_j'( a, X ) ]
% 0.43/1.06 )
% 0.43/1.06 , clause( 32, [ ~( 'big_f'( X ) ), 'big_g'( g( X ) ) ] )
% 0.43/1.06 , clause( 33, [ ~( 'big_f'( X ) ), 'big_h'( X, g( X ) ) ] )
% 0.43/1.06 ] ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 0, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), ~( 'big_g'( Y ) ),
% 0.43/1.06 'big_k'( Y ), ~( 'big_h'( X, Y ) ) ] )
% 0.43/1.06 , clause( 25, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), ~( 'big_g'( Y ) ),
% 0.43/1.06 ~( 'big_h'( X, Y ) ), 'big_k'( Y ) ] )
% 0.43/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 4 ), ==>( 4, 3 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 1, [ ~( 'big_f'( X ) ), ~( 'big_g'( Y ) ), 'big_k'( Y ), 'big_h'( X
% 0.43/1.07 , f( X ) ), ~( 'big_h'( X, Y ) ) ] )
% 0.43/1.07 , clause( 26, [ ~( 'big_f'( X ) ), 'big_h'( X, f( X ) ), ~( 'big_g'( Y ) )
% 0.43/1.07 , ~( 'big_h'( X, Y ) ), 'big_k'( Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 4 ), ==>( 4, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 2, [ ~( 'big_f'( X ) ), ~( 'big_g'( Y ) ), ~( 'big_h'( X, Y ) ),
% 0.43/1.07 'big_k'( Y ), ~( 'big_j'( X, f( X ) ) ) ] )
% 0.43/1.07 , clause( 27, [ ~( 'big_f'( X ) ), ~( 'big_j'( X, f( X ) ) ), ~( 'big_g'( Y
% 0.43/1.07 ) ), ~( 'big_h'( X, Y ) ), 'big_k'( Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 ), ==>( 1, 4 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 3, [ ~( 'big_k'( X ) ), ~( 'big_l'( X ) ) ] )
% 0.43/1.07 , clause( 28, [ ~( 'big_l'( X ) ), ~( 'big_k'( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.07 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 4, [ 'big_f'( a ) ] )
% 0.43/1.07 , clause( 29, [ 'big_f'( a ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 5, [ 'big_l'( X ), ~( 'big_h'( a, X ) ) ] )
% 0.43/1.07 , clause( 30, [ ~( 'big_h'( a, X ) ), 'big_l'( X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.07 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 6, [ ~( 'big_g'( X ) ), ~( 'big_h'( a, X ) ), 'big_j'( a, X ) ] )
% 0.43/1.07 , clause( 31, [ ~( 'big_g'( X ) ), ~( 'big_h'( a, X ) ), 'big_j'( a, X ) ]
% 0.43/1.07 )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 7, [ ~( 'big_f'( X ) ), 'big_g'( g( X ) ) ] )
% 0.43/1.07 , clause( 32, [ ~( 'big_f'( X ) ), 'big_g'( g( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 8, [ ~( 'big_f'( X ) ), 'big_h'( X, g( X ) ) ] )
% 0.43/1.07 , clause( 33, [ ~( 'big_f'( X ) ), 'big_h'( X, g( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 34, [ 'big_l'( g( a ) ), ~( 'big_f'( a ) ) ] )
% 0.43/1.07 , clause( 5, [ 'big_l'( X ), ~( 'big_h'( a, X ) ) ] )
% 0.43/1.07 , 1, clause( 8, [ ~( 'big_f'( X ) ), 'big_h'( X, g( X ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, g( a ) )] ), substitution( 1, [ :=( X, a )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 35, [ 'big_l'( g( a ) ) ] )
% 0.43/1.07 , clause( 34, [ 'big_l'( g( a ) ), ~( 'big_f'( a ) ) ] )
% 0.43/1.07 , 1, clause( 4, [ 'big_f'( a ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 9, [ 'big_l'( g( a ) ) ] )
% 0.43/1.07 , clause( 35, [ 'big_l'( g( a ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 36, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), ~( 'big_g'( g( X ) ) )
% 0.43/1.07 , 'big_k'( g( X ) ), ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , clause( 0, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), ~( 'big_g'( Y ) ),
% 0.43/1.07 'big_k'( Y ), ~( 'big_h'( X, Y ) ) ] )
% 0.43/1.07 , 4, clause( 8, [ ~( 'big_f'( X ) ), 'big_h'( X, g( X ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, g( X ) )] ), substitution( 1, [
% 0.43/1.07 :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 38, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), 'big_k'( g( X ) ), ~(
% 0.43/1.07 'big_f'( X ) ), ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , clause( 36, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), ~( 'big_g'( g( X ) )
% 0.43/1.07 ), 'big_k'( g( X ) ), ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , 2, clause( 7, [ ~( 'big_f'( X ) ), 'big_g'( g( X ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 factor(
% 0.43/1.07 clause( 39, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), 'big_k'( g( X ) ), ~(
% 0.43/1.07 'big_f'( X ) ) ] )
% 0.43/1.07 , clause( 38, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), 'big_k'( g( X ) ),
% 0.43/1.07 ~( 'big_f'( X ) ), ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 factor(
% 0.43/1.07 clause( 40, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), 'big_k'( g( X ) ) ] )
% 0.43/1.07 , clause( 39, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), 'big_k'( g( X ) ),
% 0.43/1.07 ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 10, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), 'big_k'( g( X ) ) ] )
% 0.43/1.07 , clause( 40, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), 'big_k'( g( X ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 41, [ ~( 'big_k'( g( a ) ) ) ] )
% 0.43/1.07 , clause( 3, [ ~( 'big_k'( X ) ), ~( 'big_l'( X ) ) ] )
% 0.43/1.07 , 1, clause( 9, [ 'big_l'( g( a ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, g( a ) )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 11, [ ~( 'big_k'( g( a ) ) ) ] )
% 0.43/1.07 , clause( 41, [ ~( 'big_k'( g( a ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 42, [ ~( 'big_f'( a ) ), 'big_g'( f( a ) ) ] )
% 0.43/1.07 , clause( 11, [ ~( 'big_k'( g( a ) ) ) ] )
% 0.43/1.07 , 0, clause( 10, [ ~( 'big_f'( X ) ), 'big_g'( f( X ) ), 'big_k'( g( X ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 43, [ 'big_g'( f( a ) ) ] )
% 0.43/1.07 , clause( 42, [ ~( 'big_f'( a ) ), 'big_g'( f( a ) ) ] )
% 0.43/1.07 , 0, clause( 4, [ 'big_f'( a ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 12, [ 'big_g'( f( a ) ) ] )
% 0.43/1.07 , clause( 43, [ 'big_g'( f( a ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 44, [ ~( 'big_f'( X ) ), ~( 'big_g'( g( X ) ) ), 'big_k'( g( X ) )
% 0.43/1.07 , 'big_h'( X, f( X ) ), ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , clause( 1, [ ~( 'big_f'( X ) ), ~( 'big_g'( Y ) ), 'big_k'( Y ), 'big_h'(
% 0.43/1.07 X, f( X ) ), ~( 'big_h'( X, Y ) ) ] )
% 0.43/1.07 , 4, clause( 8, [ ~( 'big_f'( X ) ), 'big_h'( X, g( X ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, g( X ) )] ), substitution( 1, [
% 0.43/1.07 :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 46, [ ~( 'big_f'( X ) ), 'big_k'( g( X ) ), 'big_h'( X, f( X ) ),
% 0.43/1.07 ~( 'big_f'( X ) ), ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , clause( 44, [ ~( 'big_f'( X ) ), ~( 'big_g'( g( X ) ) ), 'big_k'( g( X )
% 0.43/1.07 ), 'big_h'( X, f( X ) ), ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , 1, clause( 7, [ ~( 'big_f'( X ) ), 'big_g'( g( X ) ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 factor(
% 0.43/1.07 clause( 47, [ ~( 'big_f'( X ) ), 'big_k'( g( X ) ), 'big_h'( X, f( X ) ),
% 0.43/1.07 ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , clause( 46, [ ~( 'big_f'( X ) ), 'big_k'( g( X ) ), 'big_h'( X, f( X ) )
% 0.43/1.07 , ~( 'big_f'( X ) ), ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 factor(
% 0.43/1.07 clause( 48, [ ~( 'big_f'( X ) ), 'big_k'( g( X ) ), 'big_h'( X, f( X ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 47, [ ~( 'big_f'( X ) ), 'big_k'( g( X ) ), 'big_h'( X, f( X ) )
% 0.43/1.07 , ~( 'big_f'( X ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 13, [ ~( 'big_f'( X ) ), 'big_k'( g( X ) ), 'big_h'( X, f( X ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 48, [ ~( 'big_f'( X ) ), 'big_k'( g( X ) ), 'big_h'( X, f( X ) )
% 0.43/1.07 ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 49, [ 'big_l'( f( a ) ), ~( 'big_f'( a ) ), 'big_k'( g( a ) ) ] )
% 0.43/1.07 , clause( 5, [ 'big_l'( X ), ~( 'big_h'( a, X ) ) ] )
% 0.43/1.07 , 1, clause( 13, [ ~( 'big_f'( X ) ), 'big_k'( g( X ) ), 'big_h'( X, f( X )
% 0.43/1.07 ) ] )
% 0.43/1.07 , 2, substitution( 0, [ :=( X, f( a ) )] ), substitution( 1, [ :=( X, a )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 50, [ 'big_l'( f( a ) ), 'big_k'( g( a ) ) ] )
% 0.43/1.07 , clause( 49, [ 'big_l'( f( a ) ), ~( 'big_f'( a ) ), 'big_k'( g( a ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 1, clause( 4, [ 'big_f'( a ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 15, [ 'big_k'( g( a ) ), 'big_l'( f( a ) ) ] )
% 0.43/1.07 , clause( 50, [ 'big_l'( f( a ) ), 'big_k'( g( a ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 51, [ 'big_l'( f( a ) ) ] )
% 0.43/1.07 , clause( 11, [ ~( 'big_k'( g( a ) ) ) ] )
% 0.43/1.07 , 0, clause( 15, [ 'big_k'( g( a ) ), 'big_l'( f( a ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 16, [ 'big_l'( f( a ) ) ] )
% 0.43/1.07 , clause( 51, [ 'big_l'( f( a ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 52, [ ~( 'big_k'( f( a ) ) ) ] )
% 0.43/1.07 , clause( 3, [ ~( 'big_k'( X ) ), ~( 'big_l'( X ) ) ] )
% 0.43/1.07 , 1, clause( 16, [ 'big_l'( f( a ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, f( a ) )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 17, [ ~( 'big_k'( f( a ) ) ) ] )
% 0.43/1.07 , clause( 52, [ ~( 'big_k'( f( a ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 53, [ ~( 'big_f'( a ) ), ~( 'big_g'( X ) ), ~( 'big_h'( a, X ) ),
% 0.43/1.07 'big_k'( X ), ~( 'big_g'( f( a ) ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , clause( 2, [ ~( 'big_f'( X ) ), ~( 'big_g'( Y ) ), ~( 'big_h'( X, Y ) ),
% 0.43/1.07 'big_k'( Y ), ~( 'big_j'( X, f( X ) ) ) ] )
% 0.43/1.07 , 4, clause( 6, [ ~( 'big_g'( X ) ), ~( 'big_h'( a, X ) ), 'big_j'( a, X )
% 0.43/1.07 ] )
% 0.43/1.07 , 2, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.43/1.07 , f( a ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 62, [ ~( 'big_g'( X ) ), ~( 'big_h'( a, X ) ), 'big_k'( X ), ~(
% 0.43/1.07 'big_g'( f( a ) ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , clause( 53, [ ~( 'big_f'( a ) ), ~( 'big_g'( X ) ), ~( 'big_h'( a, X ) )
% 0.43/1.07 , 'big_k'( X ), ~( 'big_g'( f( a ) ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , 0, clause( 4, [ 'big_f'( a ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 18, [ ~( 'big_g'( X ) ), 'big_k'( X ), ~( 'big_g'( f( a ) ) ), ~(
% 0.43/1.07 'big_h'( a, f( a ) ) ), ~( 'big_h'( a, X ) ) ] )
% 0.43/1.07 , clause( 62, [ ~( 'big_g'( X ) ), ~( 'big_h'( a, X ) ), 'big_k'( X ), ~(
% 0.43/1.07 'big_g'( f( a ) ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 4 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 factor(
% 0.43/1.07 clause( 67, [ ~( 'big_g'( f( a ) ) ), 'big_k'( f( a ) ), ~( 'big_g'( f( a )
% 0.43/1.07 ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , clause( 18, [ ~( 'big_g'( X ) ), 'big_k'( X ), ~( 'big_g'( f( a ) ) ),
% 0.43/1.07 ~( 'big_h'( a, f( a ) ) ), ~( 'big_h'( a, X ) ) ] )
% 0.43/1.07 , 3, 4, substitution( 0, [ :=( X, f( a ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 factor(
% 0.43/1.07 clause( 68, [ ~( 'big_g'( f( a ) ) ), 'big_k'( f( a ) ), ~( 'big_h'( a, f(
% 0.43/1.07 a ) ) ) ] )
% 0.43/1.07 , clause( 67, [ ~( 'big_g'( f( a ) ) ), 'big_k'( f( a ) ), ~( 'big_g'( f( a
% 0.43/1.07 ) ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 72, [ 'big_k'( f( a ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , clause( 68, [ ~( 'big_g'( f( a ) ) ), 'big_k'( f( a ) ), ~( 'big_h'( a, f(
% 0.43/1.07 a ) ) ) ] )
% 0.43/1.07 , 0, clause( 12, [ 'big_g'( f( a ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 19, [ 'big_k'( f( a ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , clause( 72, [ 'big_k'( f( a ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 73, [ ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , clause( 17, [ ~( 'big_k'( f( a ) ) ) ] )
% 0.43/1.07 , 0, clause( 19, [ 'big_k'( f( a ) ), ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 20, [ ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , clause( 73, [ ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 74, [ ~( 'big_f'( a ) ), 'big_k'( g( a ) ) ] )
% 0.43/1.07 , clause( 20, [ ~( 'big_h'( a, f( a ) ) ) ] )
% 0.43/1.07 , 0, clause( 13, [ ~( 'big_f'( X ) ), 'big_k'( g( X ) ), 'big_h'( X, f( X )
% 0.43/1.07 ) ] )
% 0.43/1.07 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 75, [ 'big_k'( g( a ) ) ] )
% 0.43/1.07 , clause( 74, [ ~( 'big_f'( a ) ), 'big_k'( g( a ) ) ] )
% 0.43/1.07 , 0, clause( 4, [ 'big_f'( a ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 21, [ 'big_k'( g( a ) ) ] )
% 0.43/1.07 , clause( 75, [ 'big_k'( g( a ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 76, [] )
% 0.43/1.07 , clause( 11, [ ~( 'big_k'( g( a ) ) ) ] )
% 0.43/1.07 , 0, clause( 21, [ 'big_k'( g( a ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 23, [] )
% 0.43/1.07 , clause( 76, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 431
% 0.43/1.07 space for clauses: 1275
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 30
% 0.43/1.07 clauses kept: 24
% 0.43/1.07 clauses selected: 17
% 0.43/1.07 clauses deleted: 3
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 22
% 0.43/1.07 literals s-matched: 19
% 0.43/1.07 literals matched: 19
% 0.43/1.07 full subsumption: 1
% 0.43/1.07
% 0.43/1.07 checksum: 1727012666
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------