TSTP Solution File: SYN070-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN070-1 : 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 : Thu Jul 21 02:47:25 EDT 2022
% Result : Unsatisfiable 0.84s 1.19s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN070-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Mon Jul 11 14:10:02 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.84/1.19 *** allocated 10000 integers for termspace/termends
% 0.84/1.19 *** allocated 10000 integers for clauses
% 0.84/1.19 *** allocated 10000 integers for justifications
% 0.84/1.19 Bliksem 1.12
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 Automatic Strategy Selection
% 0.84/1.19
% 0.84/1.19 Clauses:
% 0.84/1.19 [
% 0.84/1.19 [ ~( 'big_f'( X ) ), 'big_f'( f( X ) ), 'big_g'( X ) ],
% 0.84/1.19 [ ~( 'big_f'( X ) ), 'big_h'( f( X ), X ), 'big_g'( X ) ],
% 0.84/1.19 [ ~( 'big_f'( X ) ), ~( 'big_g'( f( X ) ) ), 'big_g'( X ) ],
% 0.84/1.19 [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_f'( a ) ],
% 0.84/1.19 [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_g'( a ) ) ],
% 0.84/1.19 [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_f'( Y ) ), 'big_g'( Y ),
% 0.84/1.19 'big_j'( a, Y ) ],
% 0.84/1.19 [ ~( 'big_f'( X ) ), ~( 'big_f'( Y ) ), ~( 'big_h'( X, Y ) ), ~( 'big_j'(
% 0.84/1.19 Y, X ) ) ],
% 0.84/1.19 [ 'big_f'( b ) ],
% 0.84/1.19 [ ~( 'big_g'( b ) ) ]
% 0.84/1.19 ] .
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 percentage equality = 0.000000, percentage horn = 0.555556
% 0.84/1.19 This a non-horn, non-equality problem
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 Options Used:
% 0.84/1.19
% 0.84/1.19 useres = 1
% 0.84/1.19 useparamod = 0
% 0.84/1.19 useeqrefl = 0
% 0.84/1.19 useeqfact = 0
% 0.84/1.19 usefactor = 1
% 0.84/1.19 usesimpsplitting = 0
% 0.84/1.19 usesimpdemod = 0
% 0.84/1.19 usesimpres = 3
% 0.84/1.19
% 0.84/1.19 resimpinuse = 1000
% 0.84/1.19 resimpclauses = 20000
% 0.84/1.19 substype = standard
% 0.84/1.19 backwardsubs = 1
% 0.84/1.19 selectoldest = 5
% 0.84/1.19
% 0.84/1.19 litorderings [0] = split
% 0.84/1.19 litorderings [1] = liftord
% 0.84/1.19
% 0.84/1.19 termordering = none
% 0.84/1.19
% 0.84/1.19 litapriori = 1
% 0.84/1.19 termapriori = 0
% 0.84/1.19 litaposteriori = 0
% 0.84/1.19 termaposteriori = 0
% 0.84/1.19 demodaposteriori = 0
% 0.84/1.19 ordereqreflfact = 0
% 0.84/1.19
% 0.84/1.19 litselect = none
% 0.84/1.19
% 0.84/1.19 maxweight = 15
% 0.84/1.19 maxdepth = 30000
% 0.84/1.19 maxlength = 115
% 0.84/1.19 maxnrvars = 195
% 0.84/1.19 excuselevel = 1
% 0.84/1.19 increasemaxweight = 1
% 0.84/1.19
% 0.84/1.19 maxselected = 10000000
% 0.84/1.19 maxnrclauses = 10000000
% 0.84/1.19
% 0.84/1.19 showgenerated = 0
% 0.84/1.19 showkept = 0
% 0.84/1.19 showselected = 0
% 0.84/1.19 showdeleted = 0
% 0.84/1.19 showresimp = 1
% 0.84/1.19 showstatus = 2000
% 0.84/1.19
% 0.84/1.19 prologoutput = 1
% 0.84/1.19 nrgoals = 5000000
% 0.84/1.19 totalproof = 1
% 0.84/1.19
% 0.84/1.19 Symbols occurring in the translation:
% 0.84/1.19
% 0.84/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.19 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.84/1.19 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.84/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.19 'big_f' [40, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.84/1.19 f [41, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.84/1.19 'big_g' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.84/1.19 'big_h' [43, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.84/1.19 a [44, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.84/1.19 'big_j' [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.84/1.19 b [47, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 Starting Search:
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 Bliksems!, er is een bewijs:
% 0.84/1.19 % SZS status Unsatisfiable
% 0.84/1.19 % SZS output start Refutation
% 0.84/1.19
% 0.84/1.19 clause( 0, [ ~( 'big_f'( X ) ), 'big_f'( f( X ) ), 'big_g'( X ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 1, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_h'( f( X ), X ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 2, [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_g'( f( X ) ) ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 3, [ ~( 'big_f'( X ) ), 'big_f'( a ), 'big_g'( X ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 4, [ ~( 'big_f'( X ) ), ~( 'big_g'( a ) ), 'big_g'( X ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 5, [ ~( 'big_f'( X ) ), ~( 'big_f'( Y ) ), 'big_g'( X ), 'big_g'( Y
% 0.84/1.19 ), 'big_j'( a, Y ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 6, [ ~( 'big_f'( X ) ), ~( 'big_f'( Y ) ), ~( 'big_h'( X, Y ) ),
% 0.84/1.19 ~( 'big_j'( Y, X ) ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 7, [ 'big_f'( b ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 8, [ ~( 'big_g'( b ) ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 9, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_j'( a, X ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 11, [ ~( 'big_g'( a ) ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 12, [ 'big_f'( a ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 17, [ ~( 'big_g'( f( a ) ) ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 29, [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_h'( X, a ) ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 43, [ ~( 'big_f'( a ) ), 'big_g'( a ), 'big_g'( f( a ) ) ] )
% 0.84/1.19 .
% 0.84/1.19 clause( 44, [] )
% 0.84/1.19 .
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 % SZS output end Refutation
% 0.84/1.19 found a proof!
% 0.84/1.19
% 0.84/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.19
% 0.84/1.19 initialclauses(
% 0.84/1.19 [ clause( 46, [ ~( 'big_f'( X ) ), 'big_f'( f( X ) ), 'big_g'( X ) ] )
% 0.84/1.19 , clause( 47, [ ~( 'big_f'( X ) ), 'big_h'( f( X ), X ), 'big_g'( X ) ] )
% 0.84/1.19 , clause( 48, [ ~( 'big_f'( X ) ), ~( 'big_g'( f( X ) ) ), 'big_g'( X ) ]
% 0.84/1.19 )
% 0.84/1.19 , clause( 49, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_f'( a ) ] )
% 0.84/1.19 , clause( 50, [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_g'( a ) ) ] )
% 0.84/1.19 , clause( 51, [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_f'( Y ) ), 'big_g'(
% 0.84/1.19 Y ), 'big_j'( a, Y ) ] )
% 0.84/1.19 , clause( 52, [ ~( 'big_f'( X ) ), ~( 'big_f'( Y ) ), ~( 'big_h'( X, Y ) )
% 0.84/1.19 , ~( 'big_j'( Y, X ) ) ] )
% 0.84/1.19 , clause( 53, [ 'big_f'( b ) ] )
% 0.84/1.19 , clause( 54, [ ~( 'big_g'( b ) ) ] )
% 0.84/1.19 ] ).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 subsumption(
% 0.84/1.19 clause( 0, [ ~( 'big_f'( X ) ), 'big_f'( f( X ) ), 'big_g'( X ) ] )
% 0.84/1.19 , clause( 46, [ ~( 'big_f'( X ) ), 'big_f'( f( X ) ), 'big_g'( X ) ] )
% 0.84/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.19 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 subsumption(
% 0.84/1.19 clause( 1, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_h'( f( X ), X ) ] )
% 0.84/1.19 , clause( 47, [ ~( 'big_f'( X ) ), 'big_h'( f( X ), X ), 'big_g'( X ) ] )
% 0.84/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.19 2 ), ==>( 2, 1 )] ) ).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 subsumption(
% 0.84/1.19 clause( 2, [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_g'( f( X ) ) ) ] )
% 0.84/1.19 , clause( 48, [ ~( 'big_f'( X ) ), ~( 'big_g'( f( X ) ) ), 'big_g'( X ) ]
% 0.84/1.19 )
% 0.84/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.19 2 ), ==>( 2, 1 )] ) ).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 subsumption(
% 0.84/1.19 clause( 3, [ ~( 'big_f'( X ) ), 'big_f'( a ), 'big_g'( X ) ] )
% 0.84/1.19 , clause( 49, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_f'( a ) ] )
% 0.84/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.19 2 ), ==>( 2, 1 )] ) ).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 subsumption(
% 0.84/1.19 clause( 4, [ ~( 'big_f'( X ) ), ~( 'big_g'( a ) ), 'big_g'( X ) ] )
% 0.84/1.19 , clause( 50, [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_g'( a ) ) ] )
% 0.84/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.19 2 ), ==>( 2, 1 )] ) ).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 subsumption(
% 0.84/1.19 clause( 5, [ ~( 'big_f'( X ) ), ~( 'big_f'( Y ) ), 'big_g'( X ), 'big_g'( Y
% 0.84/1.19 ), 'big_j'( a, Y ) ] )
% 0.84/1.19 , clause( 51, [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_f'( Y ) ), 'big_g'(
% 0.84/1.19 Y ), 'big_j'( a, Y ) ] )
% 0.84/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.19 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 subsumption(
% 0.84/1.19 clause( 6, [ ~( 'big_f'( X ) ), ~( 'big_f'( Y ) ), ~( 'big_h'( X, Y ) ),
% 0.84/1.19 ~( 'big_j'( Y, X ) ) ] )
% 0.84/1.19 , clause( 52, [ ~( 'big_f'( X ) ), ~( 'big_f'( Y ) ), ~( 'big_h'( X, Y ) )
% 0.84/1.19 , ~( 'big_j'( Y, X ) ) ] )
% 0.84/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.19 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 subsumption(
% 0.84/1.19 clause( 7, [ 'big_f'( b ) ] )
% 0.84/1.19 , clause( 53, [ 'big_f'( b ) ] )
% 0.84/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 subsumption(
% 0.84/1.19 clause( 8, [ ~( 'big_g'( b ) ) ] )
% 0.84/1.19 , clause( 54, [ ~( 'big_g'( b ) ) ] )
% 0.84/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 factor(
% 0.84/1.19 clause( 66, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_g'( X ), 'big_j'( a, X
% 0.84/1.19 ) ] )
% 0.84/1.19 , clause( 5, [ ~( 'big_f'( X ) ), ~( 'big_f'( Y ) ), 'big_g'( X ), 'big_g'(
% 0.84/1.19 Y ), 'big_j'( a, Y ) ] )
% 0.84/1.19 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 factor(
% 0.84/1.19 clause( 67, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_j'( a, X ) ] )
% 0.84/1.19 , clause( 66, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_g'( X ), 'big_j'( a,
% 0.84/1.19 X ) ] )
% 0.84/1.19 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 subsumption(
% 0.84/1.19 clause( 9, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_j'( a, X ) ] )
% 0.84/1.19 , clause( 67, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_j'( a, X ) ] )
% 0.84/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.20 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 68, [ ~( 'big_f'( b ) ), ~( 'big_g'( a ) ) ] )
% 0.84/1.20 , clause( 8, [ ~( 'big_g'( b ) ) ] )
% 0.84/1.20 , 0, clause( 4, [ ~( 'big_f'( X ) ), ~( 'big_g'( a ) ), 'big_g'( X ) ] )
% 0.84/1.20 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 69, [ ~( 'big_g'( a ) ) ] )
% 0.84/1.20 , clause( 68, [ ~( 'big_f'( b ) ), ~( 'big_g'( a ) ) ] )
% 0.84/1.20 , 0, clause( 7, [ 'big_f'( b ) ] )
% 0.84/1.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 11, [ ~( 'big_g'( a ) ) ] )
% 0.84/1.20 , clause( 69, [ ~( 'big_g'( a ) ) ] )
% 0.84/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 70, [ ~( 'big_f'( b ) ), 'big_f'( a ) ] )
% 0.84/1.20 , clause( 8, [ ~( 'big_g'( b ) ) ] )
% 0.84/1.20 , 0, clause( 3, [ ~( 'big_f'( X ) ), 'big_f'( a ), 'big_g'( X ) ] )
% 0.84/1.20 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 71, [ 'big_f'( a ) ] )
% 0.84/1.20 , clause( 70, [ ~( 'big_f'( b ) ), 'big_f'( a ) ] )
% 0.84/1.20 , 0, clause( 7, [ 'big_f'( b ) ] )
% 0.84/1.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 12, [ 'big_f'( a ) ] )
% 0.84/1.20 , clause( 71, [ 'big_f'( a ) ] )
% 0.84/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 72, [ ~( 'big_f'( a ) ), ~( 'big_g'( f( a ) ) ) ] )
% 0.84/1.20 , clause( 11, [ ~( 'big_g'( a ) ) ] )
% 0.84/1.20 , 0, clause( 2, [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_g'( f( X ) ) ) ]
% 0.84/1.20 )
% 0.84/1.20 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 73, [ ~( 'big_g'( f( a ) ) ) ] )
% 0.84/1.20 , clause( 72, [ ~( 'big_f'( a ) ), ~( 'big_g'( f( a ) ) ) ] )
% 0.84/1.20 , 0, clause( 12, [ 'big_f'( a ) ] )
% 0.84/1.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 17, [ ~( 'big_g'( f( a ) ) ) ] )
% 0.84/1.20 , clause( 73, [ ~( 'big_g'( f( a ) ) ) ] )
% 0.84/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 74, [ ~( 'big_f'( X ) ), ~( 'big_f'( a ) ), ~( 'big_h'( X, a ) ),
% 0.84/1.20 ~( 'big_f'( X ) ), 'big_g'( X ) ] )
% 0.84/1.20 , clause( 6, [ ~( 'big_f'( X ) ), ~( 'big_f'( Y ) ), ~( 'big_h'( X, Y ) ),
% 0.84/1.20 ~( 'big_j'( Y, X ) ) ] )
% 0.84/1.20 , 3, clause( 9, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_j'( a, X ) ] )
% 0.84/1.20 , 2, substitution( 0, [ :=( X, X ), :=( Y, a )] ), substitution( 1, [ :=( X
% 0.84/1.20 , X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 78, [ ~( 'big_f'( X ) ), ~( 'big_h'( X, a ) ), ~( 'big_f'( X ) ),
% 0.84/1.20 'big_g'( X ) ] )
% 0.84/1.20 , clause( 74, [ ~( 'big_f'( X ) ), ~( 'big_f'( a ) ), ~( 'big_h'( X, a ) )
% 0.84/1.20 , ~( 'big_f'( X ) ), 'big_g'( X ) ] )
% 0.84/1.20 , 1, clause( 12, [ 'big_f'( a ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 79, [ ~( 'big_f'( X ) ), ~( 'big_h'( X, a ) ), 'big_g'( X ) ] )
% 0.84/1.20 , clause( 78, [ ~( 'big_f'( X ) ), ~( 'big_h'( X, a ) ), ~( 'big_f'( X ) )
% 0.84/1.20 , 'big_g'( X ) ] )
% 0.84/1.20 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 29, [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_h'( X, a ) ) ] )
% 0.84/1.20 , clause( 79, [ ~( 'big_f'( X ) ), ~( 'big_h'( X, a ) ), 'big_g'( X ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.20 2 ), ==>( 2, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 80, [ ~( 'big_f'( f( a ) ) ), 'big_g'( f( a ) ), ~( 'big_f'( a ) )
% 0.84/1.20 , 'big_g'( a ) ] )
% 0.84/1.20 , clause( 29, [ ~( 'big_f'( X ) ), 'big_g'( X ), ~( 'big_h'( X, a ) ) ] )
% 0.84/1.20 , 2, clause( 1, [ ~( 'big_f'( X ) ), 'big_g'( X ), 'big_h'( f( X ), X ) ]
% 0.84/1.20 )
% 0.84/1.20 , 2, substitution( 0, [ :=( X, f( a ) )] ), substitution( 1, [ :=( X, a )] )
% 0.84/1.20 ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 81, [ 'big_g'( f( a ) ), ~( 'big_f'( a ) ), 'big_g'( a ), ~(
% 0.84/1.20 'big_f'( a ) ), 'big_g'( a ) ] )
% 0.84/1.20 , clause( 80, [ ~( 'big_f'( f( a ) ) ), 'big_g'( f( a ) ), ~( 'big_f'( a )
% 0.84/1.20 ), 'big_g'( a ) ] )
% 0.84/1.20 , 0, clause( 0, [ ~( 'big_f'( X ) ), 'big_f'( f( X ) ), 'big_g'( X ) ] )
% 0.84/1.20 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 82, [ 'big_g'( f( a ) ), ~( 'big_f'( a ) ), 'big_g'( a ), 'big_g'(
% 0.84/1.20 a ) ] )
% 0.84/1.20 , clause( 81, [ 'big_g'( f( a ) ), ~( 'big_f'( a ) ), 'big_g'( a ), ~(
% 0.84/1.20 'big_f'( a ) ), 'big_g'( a ) ] )
% 0.84/1.20 , 1, 3, substitution( 0, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 83, [ 'big_g'( f( a ) ), ~( 'big_f'( a ) ), 'big_g'( a ) ] )
% 0.84/1.20 , clause( 82, [ 'big_g'( f( a ) ), ~( 'big_f'( a ) ), 'big_g'( a ), 'big_g'(
% 0.84/1.20 a ) ] )
% 0.84/1.20 , 2, 3, substitution( 0, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 43, [ ~( 'big_f'( a ) ), 'big_g'( a ), 'big_g'( f( a ) ) ] )
% 0.84/1.20 , clause( 83, [ 'big_g'( f( a ) ), ~( 'big_f'( a ) ), 'big_g'( a ) ] )
% 0.84/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.20 , 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 84, [ 'big_g'( a ), 'big_g'( f( a ) ) ] )
% 0.84/1.20 , clause( 43, [ ~( 'big_f'( a ) ), 'big_g'( a ), 'big_g'( f( a ) ) ] )
% 0.84/1.20 , 0, clause( 12, [ 'big_f'( a ) ] )
% 0.84/1.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 85, [ 'big_g'( f( a ) ) ] )
% 0.84/1.20 , clause( 11, [ ~( 'big_g'( a ) ) ] )
% 0.84/1.20 , 0, clause( 84, [ 'big_g'( a ), 'big_g'( f( a ) ) ] )
% 0.84/1.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 86, [] )
% 0.84/1.20 , clause( 17, [ ~( 'big_g'( f( a ) ) ) ] )
% 0.84/1.20 , 0, clause( 85, [ 'big_g'( f( a ) ) ] )
% 0.84/1.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 44, [] )
% 0.84/1.20 , clause( 86, [] )
% 0.84/1.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 end.
% 0.84/1.20
% 0.84/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.20
% 0.84/1.20 Memory use:
% 0.84/1.20
% 0.84/1.20 space for terms: 535
% 0.84/1.20 space for clauses: 2280
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 clauses generated: 85
% 0.84/1.20 clauses kept: 45
% 0.84/1.20 clauses selected: 31
% 0.84/1.20 clauses deleted: 3
% 0.84/1.20 clauses inuse deleted: 0
% 0.84/1.20
% 0.84/1.20 subsentry: 78
% 0.84/1.20 literals s-matched: 72
% 0.84/1.20 literals matched: 72
% 0.84/1.20 full subsumption: 2
% 0.84/1.20
% 0.84/1.20 checksum: 1876675974
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Bliksem ended
%------------------------------------------------------------------------------