TSTP Solution File: SYN074-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN074-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 02:47:28 EDT 2022
% Result : Unsatisfiable 0.76s 1.16s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN074-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.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 05:55:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/1.16 *** allocated 10000 integers for termspace/termends
% 0.76/1.16 *** allocated 10000 integers for clauses
% 0.76/1.16 *** allocated 10000 integers for justifications
% 0.76/1.16 Bliksem 1.12
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Automatic Strategy Selection
% 0.76/1.16
% 0.76/1.16 Clauses:
% 0.76/1.16 [
% 0.76/1.16 [ ~( 'big_f'( X, Y ) ), =( X, a ) ],
% 0.76/1.16 [ ~( 'big_f'( X, Y ) ), =( Y, b ) ],
% 0.76/1.16 [ ~( =( X, a ) ), ~( =( Y, b ) ), 'big_f'( X, Y ) ],
% 0.76/1.16 [ ~( 'big_f'( f( X ), Y ) ), =( Y, g( X ) ), =( f( X ), X ) ],
% 0.76/1.16 [ ~( 'big_f'( f( X ), Y ) ), =( Y, g( X ) ), 'big_f'( f( X ), h( X, Z )
% 0.76/1.16 ), =( h( X, Z ), Z ) ],
% 0.76/1.16 [ ~( 'big_f'( f( X ), Y ) ), =( Y, g( X ) ), ~( =( h( X, Z ), Z ) ), ~(
% 0.76/1.16 'big_f'( f( X ), h( X, Z ) ) ) ],
% 0.76/1.16 [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), 'big_f'( f( Y ), h( Y, Z )
% 0.76/1.16 ), =( h( Y, Z ), Z ) ],
% 0.76/1.16 [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y ) ],
% 0.76/1.16 [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), ~( =( h( Y, Z ), Z ) ), ~(
% 0.76/1.16 'big_f'( f( Y ), h( Y, Z ) ) ) ],
% 0.76/1.16 [ ~( =( f( X ), X ) ), 'big_f'( f( X ), h( X, Y ) ), =( h( X, Y ), Y ) ]
% 0.76/1.16 ,
% 0.76/1.16 [ ~( =( f( X ), X ) ), ~( =( h( X, Y ), Y ) ), ~( 'big_f'( f( X ), h( X
% 0.76/1.16 , Y ) ) ) ]
% 0.76/1.16 ] .
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 percentage equality = 0.571429, percentage horn = 0.545455
% 0.76/1.16 This is a problem with some equality
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Options Used:
% 0.76/1.16
% 0.76/1.16 useres = 1
% 0.76/1.16 useparamod = 1
% 0.76/1.16 useeqrefl = 1
% 0.76/1.16 useeqfact = 1
% 0.76/1.16 usefactor = 1
% 0.76/1.16 usesimpsplitting = 0
% 0.76/1.16 usesimpdemod = 5
% 0.76/1.16 usesimpres = 3
% 0.76/1.16
% 0.76/1.16 resimpinuse = 1000
% 0.76/1.16 resimpclauses = 20000
% 0.76/1.16 substype = eqrewr
% 0.76/1.16 backwardsubs = 1
% 0.76/1.16 selectoldest = 5
% 0.76/1.16
% 0.76/1.16 litorderings [0] = split
% 0.76/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.16
% 0.76/1.16 termordering = kbo
% 0.76/1.16
% 0.76/1.16 litapriori = 0
% 0.76/1.16 termapriori = 1
% 0.76/1.16 litaposteriori = 0
% 0.76/1.16 termaposteriori = 0
% 0.76/1.16 demodaposteriori = 0
% 0.76/1.16 ordereqreflfact = 0
% 0.76/1.16
% 0.76/1.16 litselect = negord
% 0.76/1.16
% 0.76/1.16 maxweight = 15
% 0.76/1.16 maxdepth = 30000
% 0.76/1.16 maxlength = 115
% 0.76/1.16 maxnrvars = 195
% 0.76/1.16 excuselevel = 1
% 0.76/1.16 increasemaxweight = 1
% 0.76/1.16
% 0.76/1.16 maxselected = 10000000
% 0.76/1.16 maxnrclauses = 10000000
% 0.76/1.16
% 0.76/1.16 showgenerated = 0
% 0.76/1.16 showkept = 0
% 0.76/1.16 showselected = 0
% 0.76/1.16 showdeleted = 0
% 0.76/1.16 showresimp = 1
% 0.76/1.16 showstatus = 2000
% 0.76/1.16
% 0.76/1.16 prologoutput = 1
% 0.76/1.16 nrgoals = 5000000
% 0.76/1.16 totalproof = 1
% 0.76/1.16
% 0.76/1.16 Symbols occurring in the translation:
% 0.76/1.16
% 0.76/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.16 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.76/1.16 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.76/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.16 'big_f' [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.76/1.16 a [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.76/1.16 b [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.76/1.16 f [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.76/1.16 g [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.76/1.16 h [47, 2] (w:1, o:47, a:1, s:1, b:0).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Starting Search:
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Bliksems!, er is een bewijs:
% 0.76/1.16 % SZS status Unsatisfiable
% 0.76/1.16 % SZS output start Refutation
% 0.76/1.16
% 0.76/1.16 clause( 0, [ ~( 'big_f'( X, Y ) ), =( X, a ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 1, [ ~( 'big_f'( X, Y ) ), =( Y, b ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 2, [ ~( =( X, a ) ), ~( =( Y, b ) ), 'big_f'( X, Y ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 7, [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 9, [ ~( =( f( X ), X ) ), 'big_f'( f( X ), h( X, Y ) ), =( h( X, Y
% 0.76/1.16 ), Y ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 10, [ ~( =( f( X ), X ) ), ~( =( h( X, Y ), Y ) ), ~( 'big_f'( f( X
% 0.76/1.16 ), h( X, Y ) ) ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 276, [ ~( =( X, g( Y ) ) ), =( f( Y ), Y ), =( f( Y ), a ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 278, [ ~( =( X, g( Y ) ) ), =( f( Y ), Y ), =( X, b ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 306, [ =( f( X ), X ), =( g( X ), b ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 313, [ ~( =( a, X ) ), =( f( X ), X ), ~( =( Y, b ) ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 314, [ ~( =( a, X ) ), =( f( X ), X ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 315, [ =( f( a ), a ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 418, [ ~( =( f( X ), X ) ), =( h( X, Y ), Y ), =( h( X, Y ), b ) ]
% 0.76/1.16 )
% 0.76/1.16 .
% 0.76/1.16 clause( 434, [ ~( =( f( X ), X ) ), =( h( X, b ), b ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 461, [ ~( =( f( X ), X ) ), ~( =( h( X, Y ), Y ) ), ~( =( f( X ), a
% 0.76/1.16 ) ), ~( =( h( X, Y ), b ) ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 482, [ ~( =( f( X ), X ) ), ~( =( f( X ), a ) ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 483, [] )
% 0.76/1.16 .
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 % SZS output end Refutation
% 0.76/1.16 found a proof!
% 0.76/1.16
% 0.76/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.16
% 0.76/1.16 initialclauses(
% 0.76/1.16 [ clause( 485, [ ~( 'big_f'( X, Y ) ), =( X, a ) ] )
% 0.76/1.16 , clause( 486, [ ~( 'big_f'( X, Y ) ), =( Y, b ) ] )
% 0.76/1.16 , clause( 487, [ ~( =( X, a ) ), ~( =( Y, b ) ), 'big_f'( X, Y ) ] )
% 0.76/1.16 , clause( 488, [ ~( 'big_f'( f( X ), Y ) ), =( Y, g( X ) ), =( f( X ), X )
% 0.76/1.16 ] )
% 0.76/1.16 , clause( 489, [ ~( 'big_f'( f( X ), Y ) ), =( Y, g( X ) ), 'big_f'( f( X )
% 0.76/1.16 , h( X, Z ) ), =( h( X, Z ), Z ) ] )
% 0.76/1.16 , clause( 490, [ ~( 'big_f'( f( X ), Y ) ), =( Y, g( X ) ), ~( =( h( X, Z )
% 0.76/1.16 , Z ) ), ~( 'big_f'( f( X ), h( X, Z ) ) ) ] )
% 0.76/1.16 , clause( 491, [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), 'big_f'( f( Y )
% 0.76/1.16 , h( Y, Z ) ), =( h( Y, Z ), Z ) ] )
% 0.76/1.16 , clause( 492, [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y )
% 0.76/1.16 ] )
% 0.76/1.16 , clause( 493, [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), ~( =( h( Y, Z )
% 0.76/1.16 , Z ) ), ~( 'big_f'( f( Y ), h( Y, Z ) ) ) ] )
% 0.76/1.16 , clause( 494, [ ~( =( f( X ), X ) ), 'big_f'( f( X ), h( X, Y ) ), =( h( X
% 0.76/1.16 , Y ), Y ) ] )
% 0.76/1.16 , clause( 495, [ ~( =( f( X ), X ) ), ~( =( h( X, Y ), Y ) ), ~( 'big_f'( f(
% 0.76/1.16 X ), h( X, Y ) ) ) ] )
% 0.76/1.16 ] ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 0, [ ~( 'big_f'( X, Y ) ), =( X, a ) ] )
% 0.76/1.16 , clause( 485, [ ~( 'big_f'( X, Y ) ), =( X, a ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 ), ==>( 1, 1 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 1, [ ~( 'big_f'( X, Y ) ), =( Y, b ) ] )
% 0.76/1.16 , clause( 486, [ ~( 'big_f'( X, Y ) ), =( Y, b ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 ), ==>( 1, 1 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 2, [ ~( =( X, a ) ), ~( =( Y, b ) ), 'big_f'( X, Y ) ] )
% 0.76/1.16 , clause( 487, [ ~( =( X, a ) ), ~( =( Y, b ) ), 'big_f'( X, Y ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 7, [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y ) ] )
% 0.76/1.16 , clause( 492, [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y )
% 0.76/1.16 ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 9, [ ~( =( f( X ), X ) ), 'big_f'( f( X ), h( X, Y ) ), =( h( X, Y
% 0.76/1.16 ), Y ) ] )
% 0.76/1.16 , clause( 494, [ ~( =( f( X ), X ) ), 'big_f'( f( X ), h( X, Y ) ), =( h( X
% 0.76/1.16 , Y ), Y ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 10, [ ~( =( f( X ), X ) ), ~( =( h( X, Y ), Y ) ), ~( 'big_f'( f( X
% 0.76/1.16 ), h( X, Y ) ) ) ] )
% 0.76/1.16 , clause( 495, [ ~( =( f( X ), X ) ), ~( =( h( X, Y ), Y ) ), ~( 'big_f'( f(
% 0.76/1.16 X ), h( X, Y ) ) ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqswap(
% 0.76/1.16 clause( 621, [ ~( =( g( Y ), X ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y ) ]
% 0.76/1.16 )
% 0.76/1.16 , clause( 7, [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y ) ]
% 0.76/1.16 )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqswap(
% 0.76/1.16 clause( 624, [ =( a, X ), ~( 'big_f'( X, Y ) ) ] )
% 0.76/1.16 , clause( 0, [ ~( 'big_f'( X, Y ) ), =( X, a ) ] )
% 0.76/1.16 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 625, [ =( a, f( X ) ), ~( =( g( X ), Y ) ), =( f( X ), X ) ] )
% 0.76/1.16 , clause( 624, [ =( a, X ), ~( 'big_f'( X, Y ) ) ] )
% 0.76/1.16 , 1, clause( 621, [ ~( =( g( Y ), X ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y
% 0.76/1.16 ) ] )
% 0.76/1.16 , 1, substitution( 0, [ :=( X, f( X ) ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.16 :=( X, Y ), :=( Y, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqswap(
% 0.76/1.16 clause( 628, [ =( X, f( X ) ), =( a, f( X ) ), ~( =( g( X ), Y ) ) ] )
% 0.76/1.16 , clause( 625, [ =( a, f( X ) ), ~( =( g( X ), Y ) ), =( f( X ), X ) ] )
% 0.76/1.16 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqswap(
% 0.76/1.16 clause( 630, [ ~( =( Y, g( X ) ) ), =( X, f( X ) ), =( a, f( X ) ) ] )
% 0.76/1.16 , clause( 628, [ =( X, f( X ) ), =( a, f( X ) ), ~( =( g( X ), Y ) ) ] )
% 0.76/1.16 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqswap(
% 0.76/1.16 clause( 631, [ =( f( X ), a ), ~( =( Y, g( X ) ) ), =( X, f( X ) ) ] )
% 0.76/1.16 , clause( 630, [ ~( =( Y, g( X ) ) ), =( X, f( X ) ), =( a, f( X ) ) ] )
% 0.76/1.16 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqswap(
% 0.76/1.16 clause( 632, [ =( f( X ), X ), =( f( X ), a ), ~( =( Y, g( X ) ) ) ] )
% 0.76/1.16 , clause( 631, [ =( f( X ), a ), ~( =( Y, g( X ) ) ), =( X, f( X ) ) ] )
% 0.76/1.16 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 276, [ ~( =( X, g( Y ) ) ), =( f( Y ), Y ), =( f( Y ), a ) ] )
% 0.76/1.24 , clause( 632, [ =( f( X ), X ), =( f( X ), a ), ~( =( Y, g( X ) ) ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.24 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 637, [ ~( =( g( Y ), X ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 7, [ ~( =( X, g( Y ) ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y ) ]
% 0.76/1.24 )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 640, [ =( b, X ), ~( 'big_f'( Y, X ) ) ] )
% 0.76/1.24 , clause( 1, [ ~( 'big_f'( X, Y ) ), =( Y, b ) ] )
% 0.76/1.24 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 resolution(
% 0.76/1.24 clause( 641, [ =( b, X ), ~( =( g( Y ), X ) ), =( f( Y ), Y ) ] )
% 0.76/1.24 , clause( 640, [ =( b, X ), ~( 'big_f'( Y, X ) ) ] )
% 0.76/1.24 , 1, clause( 637, [ ~( =( g( Y ), X ) ), 'big_f'( f( Y ), X ), =( f( Y ), Y
% 0.76/1.24 ) ] )
% 0.76/1.24 , 1, substitution( 0, [ :=( X, X ), :=( Y, f( Y ) )] ), substitution( 1, [
% 0.76/1.24 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 644, [ =( X, f( X ) ), =( b, Y ), ~( =( g( X ), Y ) ) ] )
% 0.76/1.24 , clause( 641, [ =( b, X ), ~( =( g( Y ), X ) ), =( f( Y ), Y ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 646, [ ~( =( Y, g( X ) ) ), =( X, f( X ) ), =( b, Y ) ] )
% 0.76/1.24 , clause( 644, [ =( X, f( X ) ), =( b, Y ), ~( =( g( X ), Y ) ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 647, [ =( X, b ), ~( =( X, g( Y ) ) ), =( Y, f( Y ) ) ] )
% 0.76/1.24 , clause( 646, [ ~( =( Y, g( X ) ) ), =( X, f( X ) ), =( b, Y ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 648, [ =( f( X ), X ), =( Y, b ), ~( =( Y, g( X ) ) ) ] )
% 0.76/1.24 , clause( 647, [ =( X, b ), ~( =( X, g( Y ) ) ), =( Y, f( Y ) ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 278, [ ~( =( X, g( Y ) ) ), =( f( Y ), Y ), =( X, b ) ] )
% 0.76/1.24 , clause( 648, [ =( f( X ), X ), =( Y, b ), ~( =( Y, g( X ) ) ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.24 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 653, [ ~( =( g( Y ), X ) ), =( f( Y ), Y ), =( X, b ) ] )
% 0.76/1.24 , clause( 278, [ ~( =( X, g( Y ) ) ), =( f( Y ), Y ), =( X, b ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqrefl(
% 0.76/1.24 clause( 660, [ =( f( X ), X ), =( g( X ), b ) ] )
% 0.76/1.24 , clause( 653, [ ~( =( g( Y ), X ) ), =( f( Y ), Y ), =( X, b ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, g( X ) ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 306, [ =( f( X ), X ), =( g( X ), b ) ] )
% 0.76/1.24 , clause( 660, [ =( f( X ), X ), =( g( X ), b ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.76/1.24 1 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 664, [ ~( =( g( Y ), X ) ), =( f( Y ), Y ), =( f( Y ), a ) ] )
% 0.76/1.24 , clause( 276, [ ~( =( X, g( Y ) ) ), =( f( Y ), Y ), =( f( Y ), a ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 671, [ =( X, f( X ) ), =( g( X ), b ) ] )
% 0.76/1.24 , clause( 306, [ =( f( X ), X ), =( g( X ), b ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqfact(
% 0.76/1.24 clause( 675, [ ~( =( a, X ) ), ~( =( g( X ), Y ) ), =( f( X ), X ) ] )
% 0.76/1.24 , clause( 664, [ ~( =( g( Y ), X ) ), =( f( Y ), Y ), =( f( Y ), a ) ] )
% 0.76/1.24 , 2, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 paramod(
% 0.76/1.24 clause( 1411, [ ~( =( b, Y ) ), =( X, f( X ) ), ~( =( a, X ) ), =( f( X ),
% 0.76/1.24 X ) ] )
% 0.76/1.24 , clause( 671, [ =( X, f( X ) ), =( g( X ), b ) ] )
% 0.76/1.24 , 1, clause( 675, [ ~( =( a, X ) ), ~( =( g( X ), Y ) ), =( f( X ), X ) ]
% 0.76/1.24 )
% 0.76/1.24 , 1, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.24 :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1414, [ ~( =( X, a ) ), ~( =( b, Y ) ), =( X, f( X ) ), =( f( X ),
% 0.76/1.24 X ) ] )
% 0.76/1.24 , clause( 1411, [ ~( =( b, Y ) ), =( X, f( X ) ), ~( =( a, X ) ), =( f( X )
% 0.76/1.24 , X ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1419, [ =( f( X ), X ), ~( =( X, a ) ), ~( =( b, Y ) ), =( f( X ),
% 0.76/1.24 X ) ] )
% 0.76/1.24 , clause( 1414, [ ~( =( X, a ) ), ~( =( b, Y ) ), =( X, f( X ) ), =( f( X )
% 0.76/1.24 , X ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1420, [ ~( =( X, b ) ), =( f( Y ), Y ), ~( =( Y, a ) ), =( f( Y ),
% 0.76/1.24 Y ) ] )
% 0.76/1.24 , clause( 1419, [ =( f( X ), X ), ~( =( X, a ) ), ~( =( b, Y ) ), =( f( X )
% 0.76/1.24 , X ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1421, [ ~( =( a, X ) ), ~( =( Y, b ) ), =( f( X ), X ), =( f( X ),
% 0.76/1.24 X ) ] )
% 0.76/1.24 , clause( 1420, [ ~( =( X, b ) ), =( f( Y ), Y ), ~( =( Y, a ) ), =( f( Y )
% 0.76/1.24 , Y ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 factor(
% 0.76/1.24 clause( 1425, [ ~( =( a, X ) ), ~( =( Y, b ) ), =( f( X ), X ) ] )
% 0.76/1.24 , clause( 1421, [ ~( =( a, X ) ), ~( =( Y, b ) ), =( f( X ), X ), =( f( X )
% 0.76/1.24 , X ) ] )
% 0.76/1.24 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 313, [ ~( =( a, X ) ), =( f( X ), X ), ~( =( Y, b ) ) ] )
% 0.76/1.24 , clause( 1425, [ ~( =( a, X ) ), ~( =( Y, b ) ), =( f( X ), X ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.24 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1438, [ ~( =( X, a ) ), =( f( X ), X ), ~( =( Y, b ) ) ] )
% 0.76/1.24 , clause( 313, [ ~( =( a, X ) ), =( f( X ), X ), ~( =( Y, b ) ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqrefl(
% 0.76/1.24 clause( 1446, [ ~( =( X, a ) ), =( f( X ), X ) ] )
% 0.76/1.24 , clause( 1438, [ ~( =( X, a ) ), =( f( X ), X ), ~( =( Y, b ) ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, X ), :=( Y, b )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1447, [ ~( =( a, X ) ), =( f( X ), X ) ] )
% 0.76/1.24 , clause( 1446, [ ~( =( X, a ) ), =( f( X ), X ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 314, [ ~( =( a, X ) ), =( f( X ), X ) ] )
% 0.76/1.24 , clause( 1447, [ ~( =( a, X ) ), =( f( X ), X ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.76/1.24 1 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1453, [ ~( =( X, a ) ), =( f( X ), X ) ] )
% 0.76/1.24 , clause( 314, [ ~( =( a, X ) ), =( f( X ), X ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqrefl(
% 0.76/1.24 clause( 1456, [ =( f( a ), a ) ] )
% 0.76/1.24 , clause( 1453, [ ~( =( X, a ) ), =( f( X ), X ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, a )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 315, [ =( f( a ), a ) ] )
% 0.76/1.24 , clause( 1456, [ =( f( a ), a ) ] )
% 0.76/1.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1458, [ ~( =( X, f( X ) ) ), 'big_f'( f( X ), h( X, Y ) ), =( h( X
% 0.76/1.24 , Y ), Y ) ] )
% 0.76/1.24 , clause( 9, [ ~( =( f( X ), X ) ), 'big_f'( f( X ), h( X, Y ) ), =( h( X,
% 0.76/1.24 Y ), Y ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1461, [ =( b, X ), ~( 'big_f'( Y, X ) ) ] )
% 0.76/1.24 , clause( 1, [ ~( 'big_f'( X, Y ) ), =( Y, b ) ] )
% 0.76/1.24 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 resolution(
% 0.76/1.24 clause( 1464, [ =( b, h( X, Y ) ), ~( =( X, f( X ) ) ), =( h( X, Y ), Y ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 1461, [ =( b, X ), ~( 'big_f'( Y, X ) ) ] )
% 0.76/1.24 , 1, clause( 1458, [ ~( =( X, f( X ) ) ), 'big_f'( f( X ), h( X, Y ) ), =(
% 0.76/1.24 h( X, Y ), Y ) ] )
% 0.76/1.24 , 1, substitution( 0, [ :=( X, h( X, Y ) ), :=( Y, f( X ) )] ),
% 0.76/1.24 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1467, [ =( Y, h( X, Y ) ), =( b, h( X, Y ) ), ~( =( X, f( X ) ) ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 1464, [ =( b, h( X, Y ) ), ~( =( X, f( X ) ) ), =( h( X, Y ), Y )
% 0.76/1.24 ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1469, [ ~( =( f( X ), X ) ), =( Y, h( X, Y ) ), =( b, h( X, Y ) ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 1467, [ =( Y, h( X, Y ) ), =( b, h( X, Y ) ), ~( =( X, f( X ) ) )
% 0.76/1.24 ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1470, [ =( h( X, Y ), b ), ~( =( f( X ), X ) ), =( Y, h( X, Y ) ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 1469, [ ~( =( f( X ), X ) ), =( Y, h( X, Y ) ), =( b, h( X, Y ) )
% 0.76/1.24 ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1471, [ =( h( Y, X ), X ), =( h( Y, X ), b ), ~( =( f( Y ), Y ) ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 1470, [ =( h( X, Y ), b ), ~( =( f( X ), X ) ), =( Y, h( X, Y ) )
% 0.76/1.24 ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 418, [ ~( =( f( X ), X ) ), =( h( X, Y ), Y ), =( h( X, Y ), b ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 1471, [ =( h( Y, X ), X ), =( h( Y, X ), b ), ~( =( f( Y ), Y ) )
% 0.76/1.24 ] )
% 0.76/1.24 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.24 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 factor(
% 0.76/1.24 clause( 1483, [ ~( =( f( X ), X ) ), =( h( X, b ), b ) ] )
% 0.76/1.24 , clause( 418, [ ~( =( f( X ), X ) ), =( h( X, Y ), Y ), =( h( X, Y ), b )
% 0.76/1.24 ] )
% 0.76/1.24 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, b )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 434, [ ~( =( f( X ), X ) ), =( h( X, b ), b ) ] )
% 0.76/1.24 , clause( 1483, [ ~( =( f( X ), X ) ), =( h( X, b ), b ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.76/1.24 1 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1487, [ ~( =( X, f( X ) ) ), ~( =( h( X, Y ), Y ) ), ~( 'big_f'( f(
% 0.76/1.24 X ), h( X, Y ) ) ) ] )
% 0.76/1.24 , clause( 10, [ ~( =( f( X ), X ) ), ~( =( h( X, Y ), Y ) ), ~( 'big_f'( f(
% 0.76/1.24 X ), h( X, Y ) ) ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1490, [ ~( =( a, X ) ), ~( =( Y, b ) ), 'big_f'( X, Y ) ] )
% 0.76/1.24 , clause( 2, [ ~( =( X, a ) ), ~( =( Y, b ) ), 'big_f'( X, Y ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 resolution(
% 0.76/1.24 clause( 1493, [ ~( =( X, f( X ) ) ), ~( =( h( X, Y ), Y ) ), ~( =( a, f( X
% 0.76/1.24 ) ) ), ~( =( h( X, Y ), b ) ) ] )
% 0.76/1.24 , clause( 1487, [ ~( =( X, f( X ) ) ), ~( =( h( X, Y ), Y ) ), ~( 'big_f'(
% 0.76/1.24 f( X ), h( X, Y ) ) ) ] )
% 0.76/1.24 , 2, clause( 1490, [ ~( =( a, X ) ), ~( =( Y, b ) ), 'big_f'( X, Y ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.76/1.24 , f( X ) ), :=( Y, h( X, Y ) )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1497, [ ~( =( b, h( X, Y ) ) ), ~( =( X, f( X ) ) ), ~( =( h( X, Y
% 0.76/1.24 ), Y ) ), ~( =( a, f( X ) ) ) ] )
% 0.76/1.24 , clause( 1493, [ ~( =( X, f( X ) ) ), ~( =( h( X, Y ), Y ) ), ~( =( a, f(
% 0.76/1.24 X ) ) ), ~( =( h( X, Y ), b ) ) ] )
% 0.76/1.24 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1500, [ ~( =( f( X ), a ) ), ~( =( b, h( X, Y ) ) ), ~( =( X, f( X
% 0.76/1.24 ) ) ), ~( =( h( X, Y ), Y ) ) ] )
% 0.76/1.24 , clause( 1497, [ ~( =( b, h( X, Y ) ) ), ~( =( X, f( X ) ) ), ~( =( h( X,
% 0.76/1.24 Y ), Y ) ), ~( =( a, f( X ) ) ) ] )
% 0.76/1.24 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1502, [ ~( =( Y, h( X, Y ) ) ), ~( =( f( X ), a ) ), ~( =( b, h( X
% 0.76/1.24 , Y ) ) ), ~( =( X, f( X ) ) ) ] )
% 0.76/1.24 , clause( 1500, [ ~( =( f( X ), a ) ), ~( =( b, h( X, Y ) ) ), ~( =( X, f(
% 0.76/1.24 X ) ) ), ~( =( h( X, Y ), Y ) ) ] )
% 0.76/1.24 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1504, [ ~( =( f( X ), X ) ), ~( =( Y, h( X, Y ) ) ), ~( =( f( X ),
% 0.76/1.24 a ) ), ~( =( b, h( X, Y ) ) ) ] )
% 0.76/1.24 , clause( 1502, [ ~( =( Y, h( X, Y ) ) ), ~( =( f( X ), a ) ), ~( =( b, h(
% 0.76/1.24 X, Y ) ) ), ~( =( X, f( X ) ) ) ] )
% 0.76/1.24 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1506, [ ~( =( h( X, Y ), b ) ), ~( =( f( X ), X ) ), ~( =( Y, h( X
% 0.76/1.24 , Y ) ) ), ~( =( f( X ), a ) ) ] )
% 0.76/1.24 , clause( 1504, [ ~( =( f( X ), X ) ), ~( =( Y, h( X, Y ) ) ), ~( =( f( X )
% 0.76/1.24 , a ) ), ~( =( b, h( X, Y ) ) ) ] )
% 0.76/1.24 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1507, [ ~( =( h( Y, X ), X ) ), ~( =( h( Y, X ), b ) ), ~( =( f( Y
% 0.76/1.24 ), Y ) ), ~( =( f( Y ), a ) ) ] )
% 0.76/1.24 , clause( 1506, [ ~( =( h( X, Y ), b ) ), ~( =( f( X ), X ) ), ~( =( Y, h(
% 0.76/1.24 X, Y ) ) ), ~( =( f( X ), a ) ) ] )
% 0.76/1.24 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 461, [ ~( =( f( X ), X ) ), ~( =( h( X, Y ), Y ) ), ~( =( f( X ), a
% 0.76/1.24 ) ), ~( =( h( X, Y ), b ) ) ] )
% 0.76/1.24 , clause( 1507, [ ~( =( h( Y, X ), X ) ), ~( =( h( Y, X ), b ) ), ~( =( f(
% 0.76/1.24 Y ), Y ) ), ~( =( f( Y ), a ) ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.24 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1544, [ ~( =( X, f( X ) ) ), =( h( X, b ), b ) ] )
% 0.76/1.24 , clause( 434, [ ~( =( f( X ), X ) ), =( h( X, b ), b ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 factor(
% 0.76/1.24 clause( 1565, [ ~( =( f( X ), X ) ), ~( =( h( X, b ), b ) ), ~( =( f( X ),
% 0.76/1.24 a ) ) ] )
% 0.76/1.24 , clause( 461, [ ~( =( f( X ), X ) ), ~( =( h( X, Y ), Y ) ), ~( =( f( X )
% 0.76/1.24 , a ) ), ~( =( h( X, Y ), b ) ) ] )
% 0.76/1.24 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, b )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 paramod(
% 0.76/1.24 clause( 1579, [ ~( =( b, b ) ), ~( =( X, f( X ) ) ), ~( =( f( X ), X ) ),
% 0.76/1.24 ~( =( f( X ), a ) ) ] )
% 0.76/1.24 , clause( 1544, [ ~( =( X, f( X ) ) ), =( h( X, b ), b ) ] )
% 0.76/1.24 , 1, clause( 1565, [ ~( =( f( X ), X ) ), ~( =( h( X, b ), b ) ), ~( =( f(
% 0.76/1.24 X ), a ) ) ] )
% 0.76/1.24 , 1, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.24 ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqrefl(
% 0.76/1.24 clause( 1586, [ ~( =( X, f( X ) ) ), ~( =( f( X ), X ) ), ~( =( f( X ), a )
% 0.76/1.24 ) ] )
% 0.76/1.24 , clause( 1579, [ ~( =( b, b ) ), ~( =( X, f( X ) ) ), ~( =( f( X ), X ) )
% 0.76/1.24 , ~( =( f( X ), a ) ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqswap(
% 0.76/1.24 clause( 1587, [ ~( =( f( X ), X ) ), ~( =( f( X ), X ) ), ~( =( f( X ), a )
% 0.76/1.24 ) ] )
% 0.76/1.24 , clause( 1586, [ ~( =( X, f( X ) ) ), ~( =( f( X ), X ) ), ~( =( f( X ), a
% 0.76/1.24 ) ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 factor(
% 0.76/1.24 clause( 1592, [ ~( =( f( X ), X ) ), ~( =( f( X ), a ) ) ] )
% 0.76/1.24 , clause( 1587, [ ~( =( f( X ), X ) ), ~( =( f( X ), X ) ), ~( =( f( X ), a
% 0.76/1.24 ) ) ] )
% 0.76/1.24 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 482, [ ~( =( f( X ), X ) ), ~( =( f( X ), a ) ) ] )
% 0.76/1.24 , clause( 1592, [ ~( =( f( X ), X ) ), ~( =( f( X ), a ) ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.76/1.24 1 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 factor(
% 0.76/1.24 clause( 1604, [ ~( =( f( a ), a ) ) ] )
% 0.76/1.24 , clause( 482, [ ~( =( f( X ), X ) ), ~( =( f( X ), a ) ) ] )
% 0.76/1.24 , 0, 1, substitution( 0, [ :=( X, a )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 paramod(
% 0.76/1.24 clause( 1605, [ ~( =( a, a ) ) ] )
% 0.76/1.24 , clause( 315, [ =( f( a ), a ) ] )
% 0.76/1.24 , 0, clause( 1604, [ ~( =( f( a ), a ) ) ] )
% 0.76/1.24 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 eqrefl(
% 0.76/1.24 clause( 1606, [] )
% 0.76/1.24 , clause( 1605, [ ~( =( a, a ) ) ] )
% 0.76/1.24 , 0, substitution( 0, [] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 483, [] )
% 0.76/1.24 , clause( 1606, [] )
% 0.76/1.24 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 end.
% 0.76/1.24
% 0.76/1.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.24
% 0.76/1.24 Memory use:
% 0.76/1.24
% 0.76/1.24 space for terms: 8435
% 0.76/1.24 space for clauses: 19298
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 clauses generated: 2894
% 0.76/1.24 clauses kept: 484
% 0.76/1.24 clauses selected: 45
% 0.76/1.24 clauses deleted: 1
% 0.76/1.24 clauses inuse deleted: 0
% 0.76/1.24
% 0.76/1.24 subsentry: 127929
% 0.76/1.24 literals s-matched: 20393
% 0.76/1.24 literals matched: 18867
% 0.76/1.24 full subsumption: 6474
% 0.76/1.24
% 0.76/1.24 checksum: 1586865007
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Bliksem ended
%------------------------------------------------------------------------------