TSTP Solution File: SYN012-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 02:46:45 EDT 2022
% Result : Unsatisfiable 0.84s 1.20s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.36 % DateTime : Tue Jul 12 01:12:35 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.84/1.20 *** allocated 10000 integers for termspace/termends
% 0.84/1.20 *** allocated 10000 integers for clauses
% 0.84/1.20 *** allocated 10000 integers for justifications
% 0.84/1.20 Bliksem 1.12
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Automatic Strategy Selection
% 0.84/1.20
% 0.84/1.20 Clauses:
% 0.84/1.20 [
% 0.84/1.20 [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( X, g( X, Y ) ) ), 'big_g'( Y, g( X,
% 0.84/1.20 Y ) ) ],
% 0.84/1.20 [ ~( 'big_f'( X, Y ) ), 'big_f'( X, g( X, Y ) ), ~( 'big_g'( Y, g( X, Y
% 0.84/1.20 ) ) ) ],
% 0.84/1.20 [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( g( X, Y ), g( X, Y ) ) ), 'big_g'( g(
% 0.84/1.20 X, Y ), g( X, Y ) ) ],
% 0.84/1.20 [ 'big_f'( X, Y ), 'big_f'( g( X, Y ), g( X, Y ) ) ],
% 0.84/1.20 [ 'big_f'( X, Y ), ~( 'big_g'( g( X, Y ), g( X, Y ) ) ) ],
% 0.84/1.20 [ 'big_g'( X, Y ), 'big_g'( g( X, Y ), g( X, Y ) ) ],
% 0.84/1.20 [ ~( 'big_g'( X, Y ) ), ~( 'big_g'( g( X, Y ), g( X, Y ) ) ) ]
% 0.84/1.20 ] .
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 percentage equality = 0.000000, percentage horn = 0.714286
% 0.84/1.20 This a non-horn, non-equality problem
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Options Used:
% 0.84/1.20
% 0.84/1.20 useres = 1
% 0.84/1.20 useparamod = 0
% 0.84/1.20 useeqrefl = 0
% 0.84/1.20 useeqfact = 0
% 0.84/1.20 usefactor = 1
% 0.84/1.20 usesimpsplitting = 0
% 0.84/1.20 usesimpdemod = 0
% 0.84/1.20 usesimpres = 3
% 0.84/1.20
% 0.84/1.20 resimpinuse = 1000
% 0.84/1.20 resimpclauses = 20000
% 0.84/1.20 substype = standard
% 0.84/1.20 backwardsubs = 1
% 0.84/1.20 selectoldest = 5
% 0.84/1.20
% 0.84/1.20 litorderings [0] = split
% 0.84/1.20 litorderings [1] = liftord
% 0.84/1.20
% 0.84/1.20 termordering = none
% 0.84/1.20
% 0.84/1.20 litapriori = 1
% 0.84/1.20 termapriori = 0
% 0.84/1.20 litaposteriori = 0
% 0.84/1.20 termaposteriori = 0
% 0.84/1.20 demodaposteriori = 0
% 0.84/1.20 ordereqreflfact = 0
% 0.84/1.20
% 0.84/1.20 litselect = none
% 0.84/1.20
% 0.84/1.20 maxweight = 15
% 0.84/1.20 maxdepth = 30000
% 0.84/1.20 maxlength = 115
% 0.84/1.20 maxnrvars = 195
% 0.84/1.20 excuselevel = 1
% 0.84/1.20 increasemaxweight = 1
% 0.84/1.20
% 0.84/1.20 maxselected = 10000000
% 0.84/1.20 maxnrclauses = 10000000
% 0.84/1.20
% 0.84/1.20 showgenerated = 0
% 0.84/1.20 showkept = 0
% 0.84/1.20 showselected = 0
% 0.84/1.20 showdeleted = 0
% 0.84/1.20 showresimp = 1
% 0.84/1.20 showstatus = 2000
% 0.84/1.20
% 0.84/1.20 prologoutput = 1
% 0.84/1.20 nrgoals = 5000000
% 0.84/1.20 totalproof = 1
% 0.84/1.20
% 0.84/1.20 Symbols occurring in the translation:
% 0.84/1.20
% 0.84/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.20 . [1, 2] (w:1, o:16, a:1, s:1, b:0),
% 0.84/1.20 ! [4, 1] (w:0, o:11, a:1, s:1, b:0),
% 0.84/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.20 'big_f' [41, 2] (w:1, o:41, a:1, s:1, b:0),
% 0.84/1.20 g [42, 2] (w:1, o:42, a:1, s:1, b:0),
% 0.84/1.20 'big_g' [43, 2] (w:1, o:43, a:1, s:1, b:0).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Starting Search:
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Bliksems!, er is een bewijs:
% 0.84/1.20 % SZS status Unsatisfiable
% 0.84/1.20 % SZS output start Refutation
% 0.84/1.20
% 0.84/1.20 clause( 0, [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( X, g( X, Y ) ) ), 'big_g'( Y
% 0.84/1.20 , g( X, Y ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 1, [ ~( 'big_f'( X, Y ) ), 'big_f'( X, g( X, Y ) ), ~( 'big_g'( Y,
% 0.84/1.20 g( X, Y ) ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 2, [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( g( X, Y ), g( X, Y ) ) ),
% 0.84/1.20 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 3, [ 'big_f'( g( X, Y ), g( X, Y ) ), 'big_f'( X, Y ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 4, [ 'big_f'( X, Y ), ~( 'big_g'( g( X, Y ), g( X, Y ) ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 5, [ 'big_g'( g( X, Y ), g( X, Y ) ), 'big_g'( X, Y ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 6, [ ~( 'big_g'( g( X, Y ), g( X, Y ) ) ), ~( 'big_g'( X, Y ) ) ]
% 0.84/1.20 )
% 0.84/1.20 .
% 0.84/1.20 clause( 9, [ 'big_f'( X, Y ), 'big_g'( X, Y ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 13, [ 'big_f'( X, g( X, Y ) ), 'big_f'( Y, g( X, Y ) ), ~( 'big_f'(
% 0.84/1.20 X, Y ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 15, [ ~( 'big_f'( X, X ) ), 'big_f'( X, g( X, X ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 18, [ ~( 'big_f'( X, Y ) ), 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 19, [ ~( 'big_f'( X, Y ) ), ~( 'big_g'( X, Y ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 21, [ ~( 'big_f'( Y, X ) ), ~( 'big_f'( Y, g( Y, X ) ) ), ~(
% 0.84/1.20 'big_f'( X, g( Y, X ) ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 23, [ ~( 'big_f'( X, X ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 26, [] )
% 0.84/1.20 .
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 % SZS output end Refutation
% 0.84/1.20 found a proof!
% 0.84/1.20
% 0.84/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.20
% 0.84/1.20 initialclauses(
% 0.84/1.20 [ clause( 28, [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( X, g( X, Y ) ) ), 'big_g'(
% 0.84/1.20 Y, g( X, Y ) ) ] )
% 0.84/1.20 , clause( 29, [ ~( 'big_f'( X, Y ) ), 'big_f'( X, g( X, Y ) ), ~( 'big_g'(
% 0.84/1.20 Y, g( X, Y ) ) ) ] )
% 0.84/1.20 , clause( 30, [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( g( X, Y ), g( X, Y ) ) )
% 0.84/1.20 , 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , clause( 31, [ 'big_f'( X, Y ), 'big_f'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , clause( 32, [ 'big_f'( X, Y ), ~( 'big_g'( g( X, Y ), g( X, Y ) ) ) ] )
% 0.84/1.20 , clause( 33, [ 'big_g'( X, Y ), 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , clause( 34, [ ~( 'big_g'( X, Y ) ), ~( 'big_g'( g( X, Y ), g( X, Y ) ) )
% 0.84/1.20 ] )
% 0.84/1.20 ] ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 0, [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( X, g( X, Y ) ) ), 'big_g'( Y
% 0.84/1.20 , g( X, Y ) ) ] )
% 0.84/1.20 , clause( 28, [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( X, g( X, Y ) ) ), 'big_g'(
% 0.84/1.20 Y, g( X, Y ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 1, [ ~( 'big_f'( X, Y ) ), 'big_f'( X, g( X, Y ) ), ~( 'big_g'( Y,
% 0.84/1.20 g( X, Y ) ) ) ] )
% 0.84/1.20 , clause( 29, [ ~( 'big_f'( X, Y ) ), 'big_f'( X, g( X, Y ) ), ~( 'big_g'(
% 0.84/1.20 Y, g( X, Y ) ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 2, [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( g( X, Y ), g( X, Y ) ) ),
% 0.84/1.20 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , clause( 30, [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( g( X, Y ), g( X, Y ) ) )
% 0.84/1.20 , 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 3, [ 'big_f'( g( X, Y ), g( X, Y ) ), 'big_f'( X, Y ) ] )
% 0.84/1.20 , clause( 31, [ 'big_f'( X, Y ), 'big_f'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.84/1.20 ), ==>( 1, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 4, [ 'big_f'( X, Y ), ~( 'big_g'( g( X, Y ), g( X, Y ) ) ) ] )
% 0.84/1.20 , clause( 32, [ 'big_f'( X, Y ), ~( 'big_g'( g( X, Y ), g( X, Y ) ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 ), ==>( 1, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 5, [ 'big_g'( g( X, Y ), g( X, Y ) ), 'big_g'( X, Y ) ] )
% 0.84/1.20 , clause( 33, [ 'big_g'( X, Y ), 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.84/1.20 ), ==>( 1, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 6, [ ~( 'big_g'( g( X, Y ), g( X, Y ) ) ), ~( 'big_g'( X, Y ) ) ]
% 0.84/1.20 )
% 0.84/1.20 , clause( 34, [ ~( 'big_g'( X, Y ) ), ~( 'big_g'( g( X, Y ), g( X, Y ) ) )
% 0.84/1.20 ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.84/1.20 ), ==>( 1, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 35, [ 'big_f'( X, Y ), 'big_g'( X, Y ) ] )
% 0.84/1.20 , clause( 4, [ 'big_f'( X, Y ), ~( 'big_g'( g( X, Y ), g( X, Y ) ) ) ] )
% 0.84/1.20 , 1, clause( 5, [ 'big_g'( g( X, Y ), g( X, Y ) ), 'big_g'( X, Y ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.84/1.20 , X ), :=( Y, Y )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 9, [ 'big_f'( X, Y ), 'big_g'( X, Y ) ] )
% 0.84/1.20 , clause( 35, [ 'big_f'( X, Y ), 'big_g'( X, Y ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 ), ==>( 1, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 38, [ ~( 'big_f'( X, Y ) ), 'big_f'( X, g( X, Y ) ), 'big_f'( Y, g(
% 0.84/1.20 X, Y ) ) ] )
% 0.84/1.20 , clause( 1, [ ~( 'big_f'( X, Y ) ), 'big_f'( X, g( X, Y ) ), ~( 'big_g'( Y
% 0.84/1.20 , g( X, Y ) ) ) ] )
% 0.84/1.20 , 2, clause( 9, [ 'big_f'( X, Y ), 'big_g'( X, Y ) ] )
% 0.84/1.20 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.84/1.20 , Y ), :=( Y, g( X, Y ) )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 13, [ 'big_f'( X, g( X, Y ) ), 'big_f'( Y, g( X, Y ) ), ~( 'big_f'(
% 0.84/1.20 X, Y ) ) ] )
% 0.84/1.20 , clause( 38, [ ~( 'big_f'( X, Y ) ), 'big_f'( X, g( X, Y ) ), 'big_f'( Y,
% 0.84/1.20 g( X, Y ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.84/1.20 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 40, [ 'big_f'( X, g( X, X ) ), ~( 'big_f'( X, X ) ) ] )
% 0.84/1.20 , clause( 13, [ 'big_f'( X, g( X, Y ) ), 'big_f'( Y, g( X, Y ) ), ~(
% 0.84/1.20 'big_f'( X, Y ) ) ] )
% 0.84/1.20 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 15, [ ~( 'big_f'( X, X ) ), 'big_f'( X, g( X, X ) ) ] )
% 0.84/1.20 , clause( 40, [ 'big_f'( X, g( X, X ) ), ~( 'big_f'( X, X ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.20 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 42, [ ~( 'big_f'( X, Y ) ), 'big_g'( g( X, Y ), g( X, Y ) ),
% 0.84/1.20 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , clause( 2, [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( g( X, Y ), g( X, Y ) ) ),
% 0.84/1.20 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , 1, clause( 9, [ 'big_f'( X, Y ), 'big_g'( X, Y ) ] )
% 0.84/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.84/1.20 , g( X, Y ) ), :=( Y, g( X, Y ) )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 43, [ ~( 'big_f'( X, Y ) ), 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , clause( 42, [ ~( 'big_f'( X, Y ) ), 'big_g'( g( X, Y ), g( X, Y ) ),
% 0.84/1.20 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 18, [ ~( 'big_f'( X, Y ) ), 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , clause( 43, [ ~( 'big_f'( X, Y ) ), 'big_g'( g( X, Y ), g( X, Y ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.20 ), ==>( 1, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 44, [ ~( 'big_g'( X, Y ) ), ~( 'big_f'( X, Y ) ) ] )
% 0.84/1.20 , clause( 6, [ ~( 'big_g'( g( X, Y ), g( X, Y ) ) ), ~( 'big_g'( X, Y ) ) ]
% 0.84/1.20 )
% 0.84/1.20 , 0, clause( 18, [ ~( 'big_f'( X, Y ) ), 'big_g'( g( X, Y ), g( X, Y ) ) ]
% 0.84/1.20 )
% 0.84/1.20 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.84/1.20 , X ), :=( Y, Y )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 19, [ ~( 'big_f'( X, Y ) ), ~( 'big_g'( X, Y ) ) ] )
% 0.84/1.20 , clause( 44, [ ~( 'big_g'( X, Y ) ), ~( 'big_f'( X, Y ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.84/1.20 ), ==>( 1, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 46, [ ~( 'big_f'( X, g( Y, X ) ) ), ~( 'big_f'( Y, X ) ), ~(
% 0.84/1.20 'big_f'( Y, g( Y, X ) ) ) ] )
% 0.84/1.20 , clause( 19, [ ~( 'big_f'( X, Y ) ), ~( 'big_g'( X, Y ) ) ] )
% 0.84/1.20 , 1, clause( 0, [ ~( 'big_f'( X, Y ) ), ~( 'big_f'( X, g( X, Y ) ) ),
% 0.84/1.20 'big_g'( Y, g( X, Y ) ) ] )
% 0.84/1.20 , 2, substitution( 0, [ :=( X, X ), :=( Y, g( Y, X ) )] ), substitution( 1
% 0.84/1.20 , [ :=( X, Y ), :=( Y, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 21, [ ~( 'big_f'( Y, X ) ), ~( 'big_f'( Y, g( Y, X ) ) ), ~(
% 0.84/1.20 'big_f'( X, g( Y, X ) ) ) ] )
% 0.84/1.20 , clause( 46, [ ~( 'big_f'( X, g( Y, X ) ) ), ~( 'big_f'( Y, X ) ), ~(
% 0.84/1.20 'big_f'( Y, g( Y, X ) ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.84/1.20 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 48, [ ~( 'big_f'( X, X ) ), ~( 'big_f'( X, g( X, X ) ) ) ] )
% 0.84/1.20 , clause( 21, [ ~( 'big_f'( Y, X ) ), ~( 'big_f'( Y, g( Y, X ) ) ), ~(
% 0.84/1.20 'big_f'( X, g( Y, X ) ) ) ] )
% 0.84/1.20 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 resolution(
% 0.84/1.20 clause( 49, [ ~( 'big_f'( X, X ) ), ~( 'big_f'( X, X ) ) ] )
% 0.84/1.20 , clause( 48, [ ~( 'big_f'( X, X ) ), ~( 'big_f'( X, g( X, X ) ) ) ] )
% 0.84/1.20 , 1, clause( 15, [ ~( 'big_f'( X, X ) ), 'big_f'( X, g( X, X ) ) ] )
% 0.84/1.20 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.84/1.20 ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 factor(
% 0.84/1.20 clause( 50, [ ~( 'big_f'( X, X ) ) ] )
% 0.84/1.20 , clause( 49, [ ~( 'big_f'( X, X ) ), ~( 'big_f'( X, X ) ) ] )
% 0.84/1.20 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 subsumption(
% 0.84/1.20 clause( 23, [ ~( 'big_f'( X, X ) ) ] )
% 0.84/1.20 , clause( 50, [ ~( 'big_f'( X, X ) ) ] )
% 0.84/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 ==> clause( 26, [] )
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 0.84/1.20
% 0.84/1.20 Bliksem ended
%------------------------------------------------------------------------------