TSTP Solution File: SYN077-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 02:47:30 EDT 2022
% Result : Unsatisfiable 19.30s 19.69s
% Output : Refutation 19.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n012.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 22:43:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 19.30/19.68 *** allocated 10000 integers for termspace/termends
% 19.30/19.68 *** allocated 10000 integers for clauses
% 19.30/19.68 *** allocated 10000 integers for justifications
% 19.30/19.68 Bliksem 1.12
% 19.30/19.68
% 19.30/19.68
% 19.30/19.68 Automatic Strategy Selection
% 19.30/19.68
% 19.30/19.68 Clauses:
% 19.30/19.68 [
% 19.30/19.68 [ ~( 'big_f'( X, f( Y ) ) ), =( X, Y ) ],
% 19.30/19.68 [ ~( =( X, Y ) ), 'big_f'( X, f( Y ) ) ],
% 19.30/19.68 [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), 'big_f'( g( X, Y ), Y ) ]
% 19.30/19.68 ,
% 19.30/19.68 [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( Z, g( X, Y ) )
% 19.30/19.68 ), ~( 'big_f'( Z, Y ) ) ],
% 19.30/19.68 [ 'big_f'( X, h( X ) ), 'big_f'( X, a ) ],
% 19.30/19.68 [ ~( 'big_f'( X, h( Y ) ) ), 'big_f'( i( Y, X ), X ), 'big_f'( Y, a ) ]
% 19.30/19.68 ,
% 19.30/19.68 [ 'big_f'( X, a ), 'big_f'( i( X, Y ), h( X ) ), ~( 'big_f'( Y, h( X ) )
% 19.30/19.68 ) ]
% 19.30/19.68 ] .
% 19.30/19.68
% 19.30/19.68
% 19.30/19.68 percentage equality = 0.105263, percentage horn = 0.571429
% 19.30/19.68 This is a problem with some equality
% 19.30/19.68
% 19.30/19.68
% 19.30/19.68
% 19.30/19.68 Options Used:
% 19.30/19.68
% 19.30/19.68 useres = 1
% 19.30/19.68 useparamod = 1
% 19.30/19.68 useeqrefl = 1
% 19.30/19.68 useeqfact = 1
% 19.30/19.68 usefactor = 1
% 19.30/19.68 usesimpsplitting = 0
% 19.30/19.68 usesimpdemod = 5
% 19.30/19.68 usesimpres = 3
% 19.30/19.68
% 19.30/19.68 resimpinuse = 1000
% 19.30/19.68 resimpclauses = 20000
% 19.30/19.68 substype = eqrewr
% 19.30/19.68 backwardsubs = 1
% 19.30/19.68 selectoldest = 5
% 19.30/19.68
% 19.30/19.68 litorderings [0] = split
% 19.30/19.68 litorderings [1] = extend the termordering, first sorting on arguments
% 19.30/19.68
% 19.30/19.68 termordering = kbo
% 19.30/19.68
% 19.30/19.68 litapriori = 0
% 19.30/19.68 termapriori = 1
% 19.30/19.68 litaposteriori = 0
% 19.30/19.68 termaposteriori = 0
% 19.30/19.68 demodaposteriori = 0
% 19.30/19.68 ordereqreflfact = 0
% 19.30/19.68
% 19.30/19.68 litselect = negord
% 19.30/19.68
% 19.30/19.68 maxweight = 15
% 19.30/19.68 maxdepth = 30000
% 19.30/19.68 maxlength = 115
% 19.30/19.68 maxnrvars = 195
% 19.30/19.68 excuselevel = 1
% 19.30/19.68 increasemaxweight = 1
% 19.30/19.68
% 19.30/19.68 maxselected = 10000000
% 19.30/19.68 maxnrclauses = 10000000
% 19.30/19.68
% 19.30/19.68 showgenerated = 0
% 19.30/19.68 showkept = 0
% 19.30/19.68 showselected = 0
% 19.30/19.68 showdeleted = 0
% 19.30/19.68 showresimp = 1
% 19.30/19.68 showstatus = 2000
% 19.30/19.68
% 19.30/19.68 prologoutput = 1
% 19.30/19.68 nrgoals = 5000000
% 19.30/19.68 totalproof = 1
% 19.30/19.68
% 19.30/19.68 Symbols occurring in the translation:
% 19.30/19.68
% 19.30/19.68 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 19.30/19.68 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 19.30/19.68 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 19.30/19.68 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 19.30/19.68 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 19.30/19.68 f [41, 1] (w:1, o:18, a:1, s:1, b:0),
% 19.30/19.69 'big_f' [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 19.30/19.69 a [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 19.30/19.69 g [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 19.30/19.69 h [46, 1] (w:1, o:19, a:1, s:1, b:0),
% 19.30/19.69 i [47, 2] (w:1, o:47, a:1, s:1, b:0).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Starting Search:
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Intermediate Status:
% 19.30/19.69 Generated: 6183
% 19.30/19.69 Kept: 2017
% 19.30/19.69 Inuse: 98
% 19.30/19.69 Deleted: 0
% 19.30/19.69 Deletedinuse: 0
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Intermediate Status:
% 19.30/19.69 Generated: 14644
% 19.30/19.69 Kept: 4042
% 19.30/19.69 Inuse: 165
% 19.30/19.69 Deleted: 21
% 19.30/19.69 Deletedinuse: 11
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Intermediate Status:
% 19.30/19.69 Generated: 25043
% 19.30/19.69 Kept: 6154
% 19.30/19.69 Inuse: 249
% 19.30/19.69 Deleted: 29
% 19.30/19.69 Deletedinuse: 12
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Intermediate Status:
% 19.30/19.69 Generated: 41213
% 19.30/19.69 Kept: 8217
% 19.30/19.69 Inuse: 295
% 19.30/19.69 Deleted: 33
% 19.30/19.69 Deletedinuse: 12
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Intermediate Status:
% 19.30/19.69 Generated: 60047
% 19.30/19.69 Kept: 10226
% 19.30/19.69 Inuse: 368
% 19.30/19.69 Deleted: 48
% 19.30/19.69 Deletedinuse: 13
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Intermediate Status:
% 19.30/19.69 Generated: 78240
% 19.30/19.69 Kept: 12236
% 19.30/19.69 Inuse: 436
% 19.30/19.69 Deleted: 61
% 19.30/19.69 Deletedinuse: 15
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Intermediate Status:
% 19.30/19.69 Generated: 95650
% 19.30/19.69 Kept: 14245
% 19.30/19.69 Inuse: 505
% 19.30/19.69 Deleted: 65
% 19.30/19.69 Deletedinuse: 15
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Intermediate Status:
% 19.30/19.69 Generated: 117544
% 19.30/19.69 Kept: 16467
% 19.30/19.69 Inuse: 572
% 19.30/19.69 Deleted: 68
% 19.30/19.69 Deletedinuse: 17
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Intermediate Status:
% 19.30/19.69 Generated: 131514
% 19.30/19.69 Kept: 18472
% 19.30/19.69 Inuse: 592
% 19.30/19.69 Deleted: 77
% 19.30/19.69 Deletedinuse: 26
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69 Resimplifying clauses:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Intermediate Status:
% 19.30/19.69 Generated: 156455
% 19.30/19.69 Kept: 20487
% 19.30/19.69 Inuse: 664
% 19.30/19.69 Deleted: 2132
% 19.30/19.69 Deletedinuse: 26
% 19.30/19.69
% 19.30/19.69 Resimplifying inuse:
% 19.30/19.69 Done
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 Bliksems!, er is een bewijs:
% 19.30/19.69 % SZS status Unsatisfiable
% 19.30/19.69 % SZS output start Refutation
% 19.30/19.69
% 19.30/19.69 clause( 0, [ ~( 'big_f'( X, f( Y ) ) ), =( X, Y ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 1, [ ~( =( X, Y ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 2, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), 'big_f'( g( X, Y )
% 19.30/19.69 , Y ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 3, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( Z, g(
% 19.30/19.69 X, Y ) ) ), ~( 'big_f'( Z, Y ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 4, [ 'big_f'( X, h( X ) ), 'big_f'( X, a ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 5, [ ~( 'big_f'( X, h( Y ) ) ), 'big_f'( i( Y, X ), X ), 'big_f'( Y
% 19.30/19.69 , a ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 6, [ 'big_f'( X, a ), 'big_f'( i( X, Y ), h( X ) ), ~( 'big_f'( Y,
% 19.30/19.69 h( X ) ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 7, [ 'big_f'( X, f( X ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 41, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), =( g( X, f(
% 19.30/19.69 Y ) ), Y ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 118, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), ~( =( Z, Y
% 19.30/19.69 ) ), ~( 'big_f'( Z, Y ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 120, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), ~( 'big_f'(
% 19.30/19.69 Y, Y ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 148, [ ~( 'big_f'( a, a ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 149, [ ~( 'big_f'( X, a ) ), ~( =( X, a ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 168, [ 'big_f'( a, h( a ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 196, [ 'big_f'( i( a, a ), a ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 200, [ ~( 'big_f'( g( X, Y ), h( Z ) ) ), 'big_f'( Z, a ), ~(
% 19.30/19.69 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( i( Z, g( X, Y ) ), Y
% 19.30/19.69 ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 301, [ ~( =( X, a ) ), 'big_f'( X, h( X ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 302, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( a ) ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 413, [ ~( =( X, a ) ), 'big_f'( i( X, X ), h( X ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 429, [ ~( 'big_f'( Y, X ) ), ~( 'big_f'( Y, f( X ) ) ), ~( 'big_f'(
% 19.30/19.69 a, f( X ) ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 433, [ ~( 'big_f'( a, X ) ), ~( 'big_f'( a, f( X ) ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 447, [ ~( 'big_f'( a, X ) ), ~( =( a, X ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 460, [ ~( 'big_f'( X, Y ) ), ~( =( X, Y ) ), ~( 'big_f'( a, f( X )
% 19.30/19.69 ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 20725, [ ~( 'big_f'( X, Y ) ), ~( =( X, Y ) ), ~( =( a, X ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 21115, [ 'big_f'( Y, a ), ~( 'big_f'( X, a ) ), ~( 'big_f'( X, h( Y
% 19.30/19.69 ) ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 21230, [ ~( 'big_f'( i( X, X ), a ) ), ~( =( X, a ) ) ] )
% 19.30/19.69 .
% 19.30/19.69 clause( 21263, [] )
% 19.30/19.69 .
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 % SZS output end Refutation
% 19.30/19.69 found a proof!
% 19.30/19.69
% 19.30/19.69 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 19.30/19.69
% 19.30/19.69 initialclauses(
% 19.30/19.69 [ clause( 21265, [ ~( 'big_f'( X, f( Y ) ) ), =( X, Y ) ] )
% 19.30/19.69 , clause( 21266, [ ~( =( X, Y ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , clause( 21267, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), 'big_f'( g(
% 19.30/19.69 X, Y ), Y ) ] )
% 19.30/19.69 , clause( 21268, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'(
% 19.30/19.69 Z, g( X, Y ) ) ), ~( 'big_f'( Z, Y ) ) ] )
% 19.30/19.69 , clause( 21269, [ 'big_f'( X, h( X ) ), 'big_f'( X, a ) ] )
% 19.30/19.69 , clause( 21270, [ ~( 'big_f'( X, h( Y ) ) ), 'big_f'( i( Y, X ), X ),
% 19.30/19.69 'big_f'( Y, a ) ] )
% 19.30/19.69 , clause( 21271, [ 'big_f'( X, a ), 'big_f'( i( X, Y ), h( X ) ), ~(
% 19.30/19.69 'big_f'( Y, h( X ) ) ) ] )
% 19.30/19.69 ] ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 0, [ ~( 'big_f'( X, f( Y ) ) ), =( X, Y ) ] )
% 19.30/19.69 , clause( 21265, [ ~( 'big_f'( X, f( Y ) ) ), =( X, Y ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 19.30/19.69 ), ==>( 1, 1 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 1, [ ~( =( X, Y ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , clause( 21266, [ ~( =( X, Y ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 19.30/19.69 ), ==>( 1, 1 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 2, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), 'big_f'( g( X, Y )
% 19.30/19.69 , Y ) ] )
% 19.30/19.69 , clause( 21267, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), 'big_f'( g(
% 19.30/19.69 X, Y ), Y ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 19.30/19.69 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 3, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( Z, g(
% 19.30/19.69 X, Y ) ) ), ~( 'big_f'( Z, Y ) ) ] )
% 19.30/19.69 , clause( 21268, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'(
% 19.30/19.69 Z, g( X, Y ) ) ), ~( 'big_f'( Z, Y ) ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 19.30/19.69 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 19.30/19.69 ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 4, [ 'big_f'( X, h( X ) ), 'big_f'( X, a ) ] )
% 19.30/19.69 , clause( 21269, [ 'big_f'( X, h( X ) ), 'big_f'( X, a ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 19.30/19.69 1 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 5, [ ~( 'big_f'( X, h( Y ) ) ), 'big_f'( i( Y, X ), X ), 'big_f'( Y
% 19.30/19.69 , a ) ] )
% 19.30/19.69 , clause( 21270, [ ~( 'big_f'( X, h( Y ) ) ), 'big_f'( i( Y, X ), X ),
% 19.30/19.69 'big_f'( Y, a ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 19.30/19.69 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 6, [ 'big_f'( X, a ), 'big_f'( i( X, Y ), h( X ) ), ~( 'big_f'( Y,
% 19.30/19.69 h( X ) ) ) ] )
% 19.30/19.69 , clause( 21271, [ 'big_f'( X, a ), 'big_f'( i( X, Y ), h( X ) ), ~(
% 19.30/19.69 'big_f'( Y, h( X ) ) ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 19.30/19.69 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21302, [ ~( =( Y, X ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , clause( 1, [ ~( =( X, Y ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqrefl(
% 19.30/19.69 clause( 21303, [ 'big_f'( X, f( X ) ) ] )
% 19.30/19.69 , clause( 21302, [ ~( =( Y, X ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 7, [ 'big_f'( X, f( X ) ) ] )
% 19.30/19.69 , clause( 21303, [ 'big_f'( X, f( X ) ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21304, [ =( Y, X ), ~( 'big_f'( X, f( Y ) ) ) ] )
% 19.30/19.69 , clause( 0, [ ~( 'big_f'( X, f( Y ) ) ), =( X, Y ) ] )
% 19.30/19.69 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21305, [ =( X, g( Y, f( X ) ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'(
% 19.30/19.69 Y, f( X ) ) ) ] )
% 19.30/19.69 , clause( 21304, [ =( Y, X ), ~( 'big_f'( X, f( Y ) ) ) ] )
% 19.30/19.69 , 1, clause( 2, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), 'big_f'( g( X
% 19.30/19.69 , Y ), Y ) ] )
% 19.30/19.69 , 2, substitution( 0, [ :=( X, g( Y, f( X ) ) ), :=( Y, X )] ),
% 19.30/19.69 substitution( 1, [ :=( X, Y ), :=( Y, f( X ) )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21306, [ =( g( Y, f( X ) ), X ), ~( 'big_f'( Y, a ) ), ~( 'big_f'(
% 19.30/19.69 Y, f( X ) ) ) ] )
% 19.30/19.69 , clause( 21305, [ =( X, g( Y, f( X ) ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'(
% 19.30/19.69 Y, f( X ) ) ) ] )
% 19.30/19.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 41, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), =( g( X, f(
% 19.30/19.69 Y ) ), Y ) ] )
% 19.30/19.69 , clause( 21306, [ =( g( Y, f( X ) ), X ), ~( 'big_f'( Y, a ) ), ~( 'big_f'(
% 19.30/19.69 Y, f( X ) ) ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 19.30/19.69 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21307, [ ~( =( Y, X ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , clause( 1, [ ~( =( X, Y ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21310, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), ~(
% 19.30/19.69 'big_f'( Z, g( X, f( Y ) ) ) ), ~( =( Y, Z ) ) ] )
% 19.30/19.69 , clause( 3, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( Z, g(
% 19.30/19.69 X, Y ) ) ), ~( 'big_f'( Z, Y ) ) ] )
% 19.30/19.69 , 3, clause( 21307, [ ~( =( Y, X ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , 1, substitution( 0, [ :=( X, X ), :=( Y, f( Y ) ), :=( Z, Z )] ),
% 19.30/19.69 substitution( 1, [ :=( X, Z ), :=( Y, Y )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 paramod(
% 19.30/19.69 clause( 21325, [ ~( 'big_f'( X, Z ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'( Y
% 19.30/19.69 , f( Z ) ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'( Y, f( Z ) ) ), ~( =( Z, X
% 19.30/19.69 ) ) ] )
% 19.30/19.69 , clause( 41, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), =( g( X, f(
% 19.30/19.69 Y ) ), Y ) ] )
% 19.30/19.69 , 2, clause( 21310, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), ~(
% 19.30/19.69 'big_f'( Z, g( X, f( Y ) ) ) ), ~( =( Y, Z ) ) ] )
% 19.30/19.69 , 2, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 19.30/19.69 :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21326, [ ~( =( Y, X ) ), ~( 'big_f'( Y, X ) ), ~( 'big_f'( Z, a ) )
% 19.30/19.69 , ~( 'big_f'( Z, f( X ) ) ), ~( 'big_f'( Z, a ) ), ~( 'big_f'( Z, f( X )
% 19.30/19.69 ) ) ] )
% 19.30/19.69 , clause( 21325, [ ~( 'big_f'( X, Z ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'(
% 19.30/19.69 Y, f( Z ) ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'( Y, f( Z ) ) ), ~( =( Z,
% 19.30/19.69 X ) ) ] )
% 19.30/19.69 , 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 factor(
% 19.30/19.69 clause( 21329, [ ~( =( X, Y ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( Z, a ) )
% 19.30/19.69 , ~( 'big_f'( Z, f( Y ) ) ), ~( 'big_f'( Z, a ) ) ] )
% 19.30/19.69 , clause( 21326, [ ~( =( Y, X ) ), ~( 'big_f'( Y, X ) ), ~( 'big_f'( Z, a )
% 19.30/19.69 ), ~( 'big_f'( Z, f( X ) ) ), ~( 'big_f'( Z, a ) ), ~( 'big_f'( Z, f( X
% 19.30/19.69 ) ) ) ] )
% 19.30/19.69 , 3, 5, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 factor(
% 19.30/19.69 clause( 21331, [ ~( =( X, Y ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( Z, a ) )
% 19.30/19.69 , ~( 'big_f'( Z, f( Y ) ) ) ] )
% 19.30/19.69 , clause( 21329, [ ~( =( X, Y ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( Z, a )
% 19.30/19.69 ), ~( 'big_f'( Z, f( Y ) ) ), ~( 'big_f'( Z, a ) ) ] )
% 19.30/19.69 , 2, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 118, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), ~( =( Z, Y
% 19.30/19.69 ) ), ~( 'big_f'( Z, Y ) ) ] )
% 19.30/19.69 , clause( 21331, [ ~( =( X, Y ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( Z, a )
% 19.30/19.69 ), ~( 'big_f'( Z, f( Y ) ) ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 19.30/19.69 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 1 )] )
% 19.30/19.69 ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21341, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), ~(
% 19.30/19.69 'big_f'( Y, g( X, f( Y ) ) ) ) ] )
% 19.30/19.69 , clause( 3, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( Z, g(
% 19.30/19.69 X, Y ) ) ), ~( 'big_f'( Z, Y ) ) ] )
% 19.30/19.69 , 3, clause( 7, [ 'big_f'( X, f( X ) ) ] )
% 19.30/19.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, f( Y ) ), :=( Z, Y )] ),
% 19.30/19.69 substitution( 1, [ :=( X, Y )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 paramod(
% 19.30/19.69 clause( 21349, [ ~( 'big_f'( X, X ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'( Y
% 19.30/19.69 , f( X ) ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'( Y, f( X ) ) ) ] )
% 19.30/19.69 , clause( 41, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), =( g( X, f(
% 19.30/19.69 Y ) ), Y ) ] )
% 19.30/19.69 , 2, clause( 21341, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), ~(
% 19.30/19.69 'big_f'( Y, g( X, f( Y ) ) ) ) ] )
% 19.30/19.69 , 2, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 19.30/19.69 :=( X, Y ), :=( Y, X )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 factor(
% 19.30/19.69 clause( 21352, [ ~( 'big_f'( X, X ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'( Y
% 19.30/19.69 , f( X ) ) ), ~( 'big_f'( Y, a ) ) ] )
% 19.30/19.69 , clause( 21349, [ ~( 'big_f'( X, X ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'(
% 19.30/19.69 Y, f( X ) ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'( Y, f( X ) ) ) ] )
% 19.30/19.69 , 2, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 factor(
% 19.30/19.69 clause( 21354, [ ~( 'big_f'( X, X ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'( Y
% 19.30/19.69 , f( X ) ) ) ] )
% 19.30/19.69 , clause( 21352, [ ~( 'big_f'( X, X ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'(
% 19.30/19.69 Y, f( X ) ) ), ~( 'big_f'( Y, a ) ) ] )
% 19.30/19.69 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 120, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), ~( 'big_f'(
% 19.30/19.69 Y, Y ) ) ] )
% 19.30/19.69 , clause( 21354, [ ~( 'big_f'( X, X ) ), ~( 'big_f'( Y, a ) ), ~( 'big_f'(
% 19.30/19.69 Y, f( X ) ) ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 19.30/19.69 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 factor(
% 19.30/19.69 clause( 21356, [ ~( 'big_f'( a, a ) ), ~( 'big_f'( a, f( a ) ) ) ] )
% 19.30/19.69 , clause( 120, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), ~(
% 19.30/19.69 'big_f'( Y, Y ) ) ] )
% 19.30/19.69 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, a )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21357, [ ~( 'big_f'( a, a ) ) ] )
% 19.30/19.69 , clause( 21356, [ ~( 'big_f'( a, a ) ), ~( 'big_f'( a, f( a ) ) ) ] )
% 19.30/19.69 , 1, clause( 7, [ 'big_f'( X, f( X ) ) ] )
% 19.30/19.69 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 148, [ ~( 'big_f'( a, a ) ) ] )
% 19.30/19.69 , clause( 21357, [ ~( 'big_f'( a, a ) ) ] )
% 19.30/19.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21359, [ ~( =( Y, X ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , clause( 1, [ ~( =( X, Y ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 factor(
% 19.30/19.69 clause( 21361, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( a ) ) ), ~( =( X,
% 19.30/19.69 a ) ) ] )
% 19.30/19.69 , clause( 118, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( Y ) ) ), ~( =( Z,
% 19.30/19.69 Y ) ), ~( 'big_f'( Z, Y ) ) ] )
% 19.30/19.69 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, X )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21362, [ ~( 'big_f'( X, a ) ), ~( =( X, a ) ), ~( =( a, X ) ) ] )
% 19.30/19.69 , clause( 21361, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( a ) ) ), ~( =( X
% 19.30/19.69 , a ) ) ] )
% 19.30/19.69 , 1, clause( 21359, [ ~( =( Y, X ) ), 'big_f'( X, f( Y ) ) ] )
% 19.30/19.69 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 19.30/19.69 , a )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21364, [ ~( =( X, a ) ), ~( 'big_f'( X, a ) ), ~( =( X, a ) ) ] )
% 19.30/19.69 , clause( 21362, [ ~( 'big_f'( X, a ) ), ~( =( X, a ) ), ~( =( a, X ) ) ]
% 19.30/19.69 )
% 19.30/19.69 , 2, substitution( 0, [ :=( X, X )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 factor(
% 19.30/19.69 clause( 21366, [ ~( =( X, a ) ), ~( 'big_f'( X, a ) ) ] )
% 19.30/19.69 , clause( 21364, [ ~( =( X, a ) ), ~( 'big_f'( X, a ) ), ~( =( X, a ) ) ]
% 19.30/19.69 )
% 19.30/19.69 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 149, [ ~( 'big_f'( X, a ) ), ~( =( X, a ) ) ] )
% 19.30/19.69 , clause( 21366, [ ~( =( X, a ) ), ~( 'big_f'( X, a ) ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 19.30/19.69 0 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21367, [ 'big_f'( a, h( a ) ) ] )
% 19.30/19.69 , clause( 148, [ ~( 'big_f'( a, a ) ) ] )
% 19.30/19.69 , 0, clause( 4, [ 'big_f'( X, h( X ) ), 'big_f'( X, a ) ] )
% 19.30/19.69 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 168, [ 'big_f'( a, h( a ) ) ] )
% 19.30/19.69 , clause( 21367, [ 'big_f'( a, h( a ) ) ] )
% 19.30/19.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21368, [ 'big_f'( i( a, a ), a ), 'big_f'( a, a ) ] )
% 19.30/19.69 , clause( 5, [ ~( 'big_f'( X, h( Y ) ) ), 'big_f'( i( Y, X ), X ), 'big_f'(
% 19.30/19.69 Y, a ) ] )
% 19.30/19.69 , 0, clause( 168, [ 'big_f'( a, h( a ) ) ] )
% 19.30/19.69 , 0, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 19.30/19.69 ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21369, [ 'big_f'( i( a, a ), a ) ] )
% 19.30/19.69 , clause( 148, [ ~( 'big_f'( a, a ) ) ] )
% 19.30/19.69 , 0, clause( 21368, [ 'big_f'( i( a, a ), a ), 'big_f'( a, a ) ] )
% 19.30/19.69 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 196, [ 'big_f'( i( a, a ), a ) ] )
% 19.30/19.69 , clause( 21369, [ 'big_f'( i( a, a ), a ) ] )
% 19.30/19.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21373, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( i(
% 19.30/19.69 Z, g( X, Y ) ), Y ) ), ~( 'big_f'( g( X, Y ), h( Z ) ) ), 'big_f'( Z, a )
% 19.30/19.69 ] )
% 19.30/19.69 , clause( 3, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( Z, g(
% 19.30/19.69 X, Y ) ) ), ~( 'big_f'( Z, Y ) ) ] )
% 19.30/19.69 , 2, clause( 5, [ ~( 'big_f'( X, h( Y ) ) ), 'big_f'( i( Y, X ), X ),
% 19.30/19.69 'big_f'( Y, a ) ] )
% 19.30/19.69 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, i( Z, g( X, Y ) ) )] )
% 19.30/19.69 , substitution( 1, [ :=( X, g( X, Y ) ), :=( Y, Z )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 200, [ ~( 'big_f'( g( X, Y ), h( Z ) ) ), 'big_f'( Z, a ), ~(
% 19.30/19.69 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'( i( Z, g( X, Y ) ), Y
% 19.30/19.69 ) ) ] )
% 19.30/19.69 , clause( 21373, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, Y ) ), ~( 'big_f'(
% 19.30/19.69 i( Z, g( X, Y ) ), Y ) ), ~( 'big_f'( g( X, Y ), h( Z ) ) ), 'big_f'( Z,
% 19.30/19.69 a ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 19.30/19.69 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 4 ), ==>( 3, 0 ),
% 19.30/19.69 ==>( 4, 1 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21387, [ ~( =( a, X ) ), ~( 'big_f'( X, a ) ) ] )
% 19.30/19.69 , clause( 149, [ ~( 'big_f'( X, a ) ), ~( =( X, a ) ) ] )
% 19.30/19.69 , 1, substitution( 0, [ :=( X, X )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21388, [ ~( =( a, X ) ), 'big_f'( X, h( X ) ) ] )
% 19.30/19.69 , clause( 21387, [ ~( =( a, X ) ), ~( 'big_f'( X, a ) ) ] )
% 19.30/19.69 , 1, clause( 4, [ 'big_f'( X, h( X ) ), 'big_f'( X, a ) ] )
% 19.30/19.69 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 19.30/19.69 ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21389, [ ~( =( X, a ) ), 'big_f'( X, h( X ) ) ] )
% 19.30/19.69 , clause( 21388, [ ~( =( a, X ) ), 'big_f'( X, h( X ) ) ] )
% 19.30/19.69 , 0, substitution( 0, [ :=( X, X )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 301, [ ~( =( X, a ) ), 'big_f'( X, h( X ) ) ] )
% 19.30/19.69 , clause( 21389, [ ~( =( X, a ) ), 'big_f'( X, h( X ) ) ] )
% 19.30/19.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 19.30/19.69 1 )] ) ).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21390, [ ~( =( a, X ) ), ~( 'big_f'( X, a ) ) ] )
% 19.30/19.69 , clause( 149, [ ~( 'big_f'( X, a ) ), ~( =( X, a ) ) ] )
% 19.30/19.69 , 1, substitution( 0, [ :=( X, X )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 eqswap(
% 19.30/19.69 clause( 21391, [ =( Y, X ), ~( 'big_f'( X, f( Y ) ) ) ] )
% 19.30/19.69 , clause( 0, [ ~( 'big_f'( X, f( Y ) ) ), =( X, Y ) ] )
% 19.30/19.69 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 resolution(
% 19.30/19.69 clause( 21392, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( a ) ) ) ] )
% 19.30/19.69 , clause( 21390, [ ~( =( a, X ) ), ~( 'big_f'( X, a ) ) ] )
% 19.30/19.69 , 0, clause( 21391, [ =( Y, X ), ~( 'big_f'( X, f( Y ) ) ) ] )
% 19.30/19.69 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 19.30/19.69 , a )] )).
% 19.30/19.69
% 19.30/19.69
% 19.30/19.69 subsumption(
% 19.30/19.69 clause( 302, [ ~( 'big_f'( X, a ) ), ~( 'big_f'( X, f( a ) ) ) ] )
% 300.03/300.59 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------