%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO657-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 14:29:10 EDT 2022
% Result : Unsatisfiable 0.73s 1.09s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO657-1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jul 9 14:12:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.73/1.09 *** allocated 10000 integers for termspace/termends
% 0.73/1.09 *** allocated 10000 integers for clauses
% 0.73/1.09 *** allocated 10000 integers for justifications
% 0.73/1.09 Bliksem 1.12
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Automatic Strategy Selection
% 0.73/1.09
% 0.73/1.09 Clauses:
% 0.73/1.09 [
% 0.73/1.09 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc(
% 0.73/1.09 X ), suc( Y ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Y ) ) )
% 0.73/1.09 ), 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ],
% 0.73/1.09 [ ~( 'LE'( f( suc( suc( X ) ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f(
% 0.73/1.09 suc( suc( X ) ) ) ), 'LE'( f( X ), s( '0' ) ) ],
% 0.73/1.09 [ 'LE'( f( X ), s( s( '0' ) ) ) ],
% 0.73/1.09 [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), 'E'(
% 0.73/1.09 f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ],
% 0.73/1.09 [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( suc( suc( X ) )
% 0.73/1.09 ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) )
% 0.73/1.09 , ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~(
% 0.73/1.09 'E'( f( X ), f( suc( X ) ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ],
% 0.73/1.09 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) )
% 0.73/1.09 , ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0',
% 0.73/1.09 f( Y ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 0.73/1.09 ) ), 'E'( f( X ), f( suc( X ) ) ) ],
% 0.73/1.09 [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f(
% 0.73/1.09 X ), s( '0' ) ) ],
% 0.73/1.09 [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f( X ), '0' )
% 0.73/1.09 ],
% 0.73/1.09 [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) )
% 0.73/1.09 , ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), iLEQ( suc(
% 0.73/1.09 X ), suc( X ) ) ],
% 0.73/1.09 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) )
% 0.73/1.09 , ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0',
% 0.73/1.09 f( Y ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 0.73/1.09 ) ), 'E'( f( Y ), f( suc( Y ) ) ) ],
% 0.73/1.09 [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ),
% 0.73/1.09 f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ],
% 0.73/1.09 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( Y ) ) ) ) )
% 0.73/1.09 , ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ(
% 0.73/1.09 suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f( X ), f( suc(
% 0.73/1.09 X ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 0.73/1.09 ) ) ],
% 0.73/1.09 [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'(
% 0.73/1.09 f( X ), '0' ) ],
% 0.73/1.09 [ ~( 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ), 'E'( '0', f( suc( suc( X
% 0.73/1.09 ) ) ) ), 'LE'( f( X ), '0' ) ],
% 0.73/1.09 [ ~( 'LE'( f( z ), '0' ) ) ],
% 0.73/1.09 [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( suc( X )
% 0.73/1.09 ) ), 'LE'( f( X ), s( '0' ) ) ],
% 0.73/1.09 [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'(
% 0.73/1.09 s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'(
% 0.73/1.09 s( '0' ), f( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc(
% 0.73/1.09 Y ) ) ) ],
% 0.73/1.09 [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) )
% 0.73/1.09 ), iLEQ( suc( X ), suc( X ) ) ],
% 0.73/1.09 [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'(
% 0.73/1.09 s( '0' ), f( suc( suc( Y ) ) ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ),
% 0.73/1.09 ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'(
% 0.73/1.09 f( Y ), f( suc( Y ) ) ) ), 'E'( f( X ), f( suc( X ) ) ) ],
% 0.73/1.09 [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( suc( suc( X ) )
% 0.73/1.09 ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( suc( Y )
% 0.73/1.09 ) ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 Y ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) )
% 0.73/1.09 ), ~( 'E'( f( X ), f( suc( X ) ) ) ) ]
% 0.73/1.09 ] .
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 percentage equality = 0.000000, percentage horn = 0.500000
% 0.73/1.09 This a non-horn, non-equality problem
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Options Used:
% 0.73/1.09
% 0.73/1.09 useres = 1
% 0.73/1.09 useparamod = 0
% 0.73/1.09 useeqrefl = 0
% 0.73/1.09 useeqfact = 0
% 0.73/1.09 usefactor = 1
% 0.73/1.09 usesimpsplitting = 0
% 0.73/1.09 usesimpdemod = 0
% 0.73/1.09 usesimpres = 3
% 0.73/1.09
% 0.73/1.09 resimpinuse = 1000
% 0.73/1.09 resimpclauses = 20000
% 0.73/1.09 substype = standard
% 0.73/1.09 backwardsubs = 1
% 0.73/1.09 selectoldest = 5
% 0.73/1.09
% 0.73/1.09 litorderings [0] = split
% 0.73/1.09 litorderings [1] = liftord
% 0.73/1.09
% 0.73/1.09 termordering = none
% 0.73/1.09
% 0.73/1.09 litapriori = 1
% 0.73/1.09 termapriori = 0
% 0.73/1.09 litaposteriori = 0
% 0.73/1.09 termaposteriori = 0
% 0.73/1.09 demodaposteriori = 0
% 0.73/1.09 ordereqreflfact = 0
% 0.73/1.09
% 0.73/1.09 litselect = none
% 0.73/1.09
% 0.73/1.09 maxweight = 15
% 0.73/1.09 maxdepth = 30000
% 0.73/1.09 maxlength = 115
% 0.73/1.09 maxnrvars = 195
% 0.73/1.09 excuselevel = 1
% 0.73/1.09 increasemaxweight = 1
% 0.73/1.09
% 0.73/1.09 maxselected = 10000000
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09
% 0.73/1.09 showgenerated = 0
% 0.73/1.09 showkept = 0
% 0.73/1.09 showselected = 0
% 0.73/1.09 showdeleted = 0
% 0.73/1.09 showresimp = 1
% 0.73/1.09 showstatus = 2000
% 0.73/1.09
% 0.73/1.09 prologoutput = 1
% 0.73/1.09 nrgoals = 5000000
% 0.73/1.09 totalproof = 1
% 0.73/1.09
% 0.73/1.09 Symbols occurring in the translation:
% 0.73/1.09
% 0.73/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.09 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.73/1.09 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.73/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 '0' [39, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.73/1.09 suc [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.73/1.09 f [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.09 'E' [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.73/1.09 iLEQ [45, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.73/1.09 s [47, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.09 'LE' [48, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.73/1.09 z [53, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09 Resimplifying inuse:
% 0.73/1.09 Done
% 0.73/1.09
% 0.73/1.09 Failed to find proof!
% 0.73/1.09 maxweight = 15
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09 Generated: 124
% 0.73/1.09 Kept: 62
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 The strategy used was not complete!
% 0.73/1.09
% 0.73/1.09 Increased maxweight to 16
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09 Resimplifying inuse:
% 0.73/1.09 Done
% 0.73/1.09
% 0.73/1.09 Failed to find proof!
% 0.73/1.09 maxweight = 16
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09 Generated: 127
% 0.73/1.09 Kept: 66
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 The strategy used was not complete!
% 0.73/1.09
% 0.73/1.09 Increased maxweight to 17
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09 Resimplifying inuse:
% 0.73/1.09 Done
% 0.73/1.09
% 0.73/1.09 Failed to find proof!
% 0.73/1.09 maxweight = 17
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09 Generated: 126
% 0.73/1.09 Kept: 71
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 The strategy used was not complete!
% 0.73/1.09
% 0.73/1.09 Increased maxweight to 18
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09 Resimplifying inuse:
% 0.73/1.09 Done
% 0.73/1.09
% 0.73/1.09 Failed to find proof!
% 0.73/1.09 maxweight = 18
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09 Generated: 129
% 0.73/1.09 Kept: 74
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 The strategy used was not complete!
% 0.73/1.09
% 0.73/1.09 Increased maxweight to 19
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09 Resimplifying inuse:
% 0.73/1.09 Done
% 0.73/1.09
% 0.73/1.09 Failed to find proof!
% 0.73/1.09 maxweight = 19
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09 Generated: 136
% 0.73/1.09 Kept: 77
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 The strategy used was not complete!
% 0.73/1.09
% 0.73/1.09 Increased maxweight to 20
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09 Resimplifying inuse:
% 0.73/1.09 Done
% 0.73/1.09
% 0.73/1.09 Failed to find proof!
% 0.73/1.09 maxweight = 20
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09 Generated: 134
% 0.73/1.09 Kept: 80
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 The strategy used was not complete!
% 0.73/1.09
% 0.73/1.09 Increased maxweight to 21
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09 Resimplifying inuse:
% 0.73/1.09 Done
% 0.73/1.09
% 0.73/1.09 Failed to find proof!
% 0.73/1.09 maxweight = 21
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09 Generated: 134
% 0.73/1.09 Kept: 80
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 The strategy used was not complete!
% 0.73/1.09
% 0.73/1.09 Increased maxweight to 22
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09 Resimplifying inuse:
% 0.73/1.09 Done
% 0.73/1.09
% 0.73/1.09 Failed to find proof!
% 0.73/1.09 maxweight = 22
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09 Generated: 136
% 0.73/1.09 Kept: 81
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 The strategy used was not complete!
% 0.73/1.09
% 0.73/1.09 Increased maxweight to 23
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Bliksems!, er is een bewijs:
% 0.73/1.09 % SZS status Unsatisfiable
% 0.73/1.09 % SZS output start Refutation
% 0.73/1.09
% 0.73/1.09 clause( 0, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 0.73/1.09 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), 'E'( f( X ), f( suc(
% 0.73/1.09 X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ]
% 0.73/1.09 )
% 0.73/1.09 .
% 0.73/1.09 clause( 1, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s( '0' )
% 0.73/1.09 ), ~( 'LE'( f( suc( suc( X ) ) ), s( s( '0' ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 2, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 3, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ),
% 0.73/1.09 ~( 'E'( s( '0' ), f( suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 6, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 7, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 0.73/1.09 '0' ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 8, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( X
% 0.73/1.09 ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.09 iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 10, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'(
% 0.73/1.09 f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 11, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( Y )
% 0.73/1.09 ) ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( X ) ) )
% 0.73/1.09 , ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f(
% 0.73/1.09 Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( iLEQ( suc( X )
% 0.73/1.09 , suc( Y ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 12, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 0.73/1.09 suc( X ) ), s( '0' ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 13, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), ~(
% 0.73/1.09 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 15, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 16, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.73/1.09 ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ),
% 0.73/1.09 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), ~( iLEQ( suc(
% 0.73/1.09 X ), suc( Y ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 17, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( f( X ), f(
% 0.73/1.09 suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.09 X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 19, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.09 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( suc( Y ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s(
% 0.73/1.09 '0' ), f( Y ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f(
% 0.73/1.09 suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 33, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X )
% 0.73/1.09 ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~(
% 0.73/1.09 iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 38, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ),
% 0.73/1.09 ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 43, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.09 , f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 48, [ 'E'( '0', f( X ) ), 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f(
% 0.73/1.09 X ), '0' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 49, [ 'E'( '0', f( X ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f( X ),
% 0.73/1.09 '0' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 50, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 51, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( suc( z ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 52, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s( '0' )
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 53, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'E'( '0', f( X ) ),
% 0.73/1.09 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 54, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( suc( suc( X
% 0.73/1.09 ) ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 55, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( suc( X ) )
% 0.73/1.09 ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 56, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( X ) ) ),
% 0.73/1.09 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 57, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ) ]
% 0.73/1.09 )
% 0.73/1.09 .
% 0.73/1.09 clause( 59, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ]
% 0.73/1.09 )
% 0.73/1.09 .
% 0.73/1.09 clause( 60, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( suc( z ) )
% 0.73/1.09 ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 61, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.09 suc( suc( X ) ) ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 62, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.09 suc( X ) ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 63, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.09 X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 64, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.09 z ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 65, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( suc( suc( z
% 0.73/1.09 ) ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 66, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.09 suc( z ) ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 67, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.09 suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 68, [ ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.73/1.09 , ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 69, [ 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.73/1.09 ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 79, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.09 , f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), iLEQ( suc( X ), suc( X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 80, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X )
% 0.73/1.09 ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 81, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( X ) )
% 0.73/1.09 ), ~( 'E'( '0', f( suc( X ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 82, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.09 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc(
% 0.73/1.09 X ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 83, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.73/1.09 ) ), ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 85, [ 'E'( '0', f( suc( suc( z ) ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 89, [ 'E'( '0', f( suc( z ) ) ), ~( 'E'( s( '0' ), f( suc( suc( z )
% 0.73/1.09 ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 94, [ 'E'( '0', f( z ) ), ~( 'E'( s( '0' ), f( suc( z ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 99, [ 'E'( '0', f( z ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 105, [ 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 107, [ ~( 'E'( '0', f( suc( suc( z ) ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 109, [ ~( 'E'( s( '0' ), f( suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 110, [] )
% 0.73/1.09 .
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 % SZS output end Refutation
% 0.73/1.09 found a proof!
% 0.73/1.09
% 0.73/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.09
% 0.73/1.09 initialclauses(
% 0.73/1.09 [ clause( 112, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.09 ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f(
% 0.73/1.09 suc( Y ) ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 113, [ ~( 'LE'( f( suc( suc( X ) ) ), s( s( '0' ) ) ) ), 'E'( s(
% 0.73/1.09 '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , clause( 114, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.73/1.09 , clause( 115, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X
% 0.73/1.09 ) ) ) ), 'E'( f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , clause( 116, [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 suc( X ) ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 X ) ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( Y )
% 0.73/1.09 ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ]
% 0.73/1.09 )
% 0.73/1.09 , clause( 117, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.09 Y ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ),
% 0.73/1.09 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0',
% 0.73/1.09 f( suc( Y ) ) ) ), 'E'( f( X ), f( suc( X ) ) ) ] )
% 0.73/1.09 , clause( 118, [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X )
% 0.73/1.09 ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , clause( 119, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f(
% 0.73/1.09 X ), '0' ) ] )
% 0.73/1.09 , clause( 120, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 0.73/1.09 X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.09 iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , clause( 121, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.09 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ),
% 0.73/1.09 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0',
% 0.73/1.09 f( suc( Y ) ) ) ), 'E'( f( Y ), f( suc( Y ) ) ) ] )
% 0.73/1.09 , clause( 122, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 0.73/1.09 'E'( f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , clause( 123, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.09 Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( X ) )
% 0.73/1.09 ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f(
% 0.73/1.09 X ), f( suc( X ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f(
% 0.73/1.09 suc( Y ) ) ) ) ] )
% 0.73/1.09 , clause( 124, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X
% 0.73/1.09 ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 , clause( 125, [ ~( 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ), 'E'( '0', f(
% 0.73/1.09 suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 , clause( 126, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.09 , clause( 127, [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ),
% 0.73/1.09 f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , clause( 128, [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( X )
% 0.73/1.09 ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( Y )
% 0.73/1.09 ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'(
% 0.73/1.09 f( Y ), f( suc( Y ) ) ) ] )
% 0.73/1.09 , clause( 129, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , clause( 130, [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( X )
% 0.73/1.09 ) ), ~( 'E'( s( '0' ), f( suc( suc( Y ) ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.09 suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.09 Y ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.73/1.09 ] )
% 0.73/1.09 , clause( 131, [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 suc( X ) ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 suc( Y ) ) ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ),
% 0.73/1.09 f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( f( Y ), f( suc(
% 0.73/1.09 Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ) ] )
% 0.73/1.09 ] ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 0, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 0.73/1.09 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), 'E'( f( X ), f( suc(
% 0.73/1.09 X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ]
% 0.73/1.09 )
% 0.73/1.09 , clause( 112, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.09 ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f(
% 0.73/1.09 suc( Y ) ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) )
% 0.73/1.09 ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 ), ==>( 1, 1 ), ==>( 2, 6 ), ==>( 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ),
% 0.73/1.09 ==>( 6, 5 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 1, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s( '0' )
% 0.73/1.09 ), ~( 'LE'( f( suc( suc( X ) ) ), s( s( '0' ) ) ) ) ] )
% 0.73/1.09 , clause( 113, [ ~( 'LE'( f( suc( suc( X ) ) ), s( s( '0' ) ) ) ), 'E'( s(
% 0.73/1.09 '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.09 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 2, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.73/1.09 , clause( 114, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 3, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ),
% 0.73/1.09 ~( 'E'( s( '0' ), f( suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , clause( 115, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X
% 0.73/1.09 ) ) ) ), 'E'( f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 ), ==>( 3, 3 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 176, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , clause( 118, [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X )
% 0.73/1.09 ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , 0, clause( 2, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 6, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , clause( 176, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 7, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 0.73/1.09 '0' ) ) ) ] )
% 0.73/1.09 , clause( 119, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f(
% 0.73/1.09 X ), '0' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.09 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 8, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc( X
% 0.73/1.09 ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.09 iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , clause( 120, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( suc(
% 0.73/1.09 X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.09 iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 10, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'(
% 0.73/1.09 f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , clause( 122, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 0.73/1.09 'E'( f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 11, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( Y )
% 0.73/1.09 ) ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( X ) ) )
% 0.73/1.09 , ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f(
% 0.73/1.09 Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( iLEQ( suc( X )
% 0.73/1.09 , suc( Y ) ) ) ] )
% 0.73/1.09 , clause( 123, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.09 Y ) ) ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( X ) )
% 0.73/1.09 ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f(
% 0.73/1.09 X ), f( suc( X ) ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f(
% 0.73/1.09 suc( Y ) ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 8 ), ==>( 5, 4 ),
% 0.73/1.09 ==>( 6, 5 ), ==>( 7, 6 ), ==>( 8, 7 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 12, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 0.73/1.09 suc( X ) ), s( '0' ) ) ) ] )
% 0.73/1.09 , clause( 124, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X
% 0.73/1.09 ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.09 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 13, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), ~(
% 0.73/1.09 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ) ] )
% 0.73/1.09 , clause( 125, [ ~( 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ), 'E'( '0', f(
% 0.73/1.09 suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.09 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.09 , clause( 126, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 438, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ]
% 0.73/1.09 )
% 0.73/1.09 , clause( 127, [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ),
% 0.73/1.09 f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , 0, clause( 2, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( X ) )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 15, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , clause( 438, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ]
% 0.73/1.09 )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 16, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.73/1.09 ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ),
% 0.73/1.09 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), ~( iLEQ( suc(
% 0.73/1.09 X ), suc( Y ) ) ) ] )
% 0.73/1.09 , clause( 128, [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( X )
% 0.73/1.09 ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( Y )
% 0.73/1.09 ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'(
% 0.73/1.09 f( Y ), f( suc( Y ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 6
% 0.73/1.09 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ),
% 0.73/1.09 ==>( 6, 5 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 17, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( f( X ), f(
% 0.73/1.09 suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.09 X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , clause( 129, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 19, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.09 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( suc( Y ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s(
% 0.73/1.09 '0' ), f( Y ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f(
% 0.73/1.09 suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 0.73/1.09 , clause( 131, [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 suc( X ) ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 suc( Y ) ) ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ),
% 0.73/1.09 f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( f( Y ), f( suc(
% 0.73/1.09 Y ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 8
% 0.73/1.09 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ),
% 0.73/1.09 ==>( 6, 5 ), ==>( 7, 6 ), ==>( 8, 7 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 601, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.09 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f(
% 0.73/1.09 X ), f( suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f(
% 0.73/1.09 suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , clause( 11, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( Y
% 0.73/1.09 ) ) ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( X ) )
% 0.73/1.09 ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f(
% 0.73/1.09 Y ), f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( iLEQ( suc( X )
% 0.73/1.09 , suc( Y ) ) ) ] )
% 0.73/1.09 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 607, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.09 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f(
% 0.73/1.09 X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( X )
% 0.73/1.09 , suc( X ) ) ) ] )
% 0.73/1.09 , clause( 601, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.09 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f(
% 0.73/1.09 X ), f( suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f(
% 0.73/1.09 suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , 4, 5, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 608, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.09 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f(
% 0.73/1.09 X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , clause( 607, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.09 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f(
% 0.73/1.09 X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( X )
% 0.73/1.09 , suc( X ) ) ) ] )
% 0.73/1.09 , 0, 5, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 609, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.09 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 0.73/1.09 ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , clause( 608, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.09 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f(
% 0.73/1.09 X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 33, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X )
% 0.73/1.09 ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~(
% 0.73/1.09 iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , clause( 609, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.09 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 0.73/1.09 ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 613, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 0.73/1.09 ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'(
% 0.73/1.09 f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , clause( 16, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 0.73/1.09 ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) )
% 0.73/1.09 , 'E'( f( X ), f( suc( X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), ~( iLEQ(
% 0.73/1.09 suc( X ), suc( Y ) ) ) ] )
% 0.73/1.09 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 616, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 0.73/1.09 ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~(
% 0.73/1.09 iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , clause( 613, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X
% 0.73/1.09 ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), 'E'(
% 0.73/1.09 f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , 3, 4, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 617, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 0.73/1.09 ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ]
% 0.73/1.09 )
% 0.73/1.09 , clause( 616, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X
% 0.73/1.09 ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~(
% 0.73/1.09 iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 38, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ),
% 0.73/1.09 ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , clause( 617, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X
% 0.73/1.09 ) ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ]
% 0.73/1.09 )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 ), ==>( 3, 3 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 618, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.09 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.09 suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( f( X ), f( suc( X )
% 0.73/1.09 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 19, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( suc( Y ) ) ) ) ), ~( 'E'( s(
% 0.73/1.09 '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s(
% 0.73/1.09 '0' ), f( Y ) ) ), ~( 'E'( f( Y ), f( suc( Y ) ) ) ), ~( 'E'( f( X ), f(
% 0.73/1.09 suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 0.73/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 627, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.09 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X
% 0.73/1.09 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) )
% 0.73/1.09 ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , clause( 618, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.09 suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( f( X ), f( suc( X )
% 0.73/1.09 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) )
% 0.73/1.09 ) ] )
% 0.73/1.09 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 629, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.09 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X
% 0.73/1.09 ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 627, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.09 X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) )
% 0.73/1.09 ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , 4, 5, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 630, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.09 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( f( X ), f( suc(
% 0.73/1.09 X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , clause( 629, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.09 X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) )
% 0.73/1.09 ) ] )
% 0.73/1.09 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 43, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.09 , f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.09 X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , clause( 630, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.09 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( f( X ), f(
% 0.73/1.09 suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 1 ), ==>( 2, 3 ), ==>( 3, 2 ), ==>( 4, 4 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 631, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), 'E'( s( '0' ), f(
% 0.73/1.09 suc( X ) ) ) ] )
% 0.73/1.09 , clause( 7, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 0.73/1.09 '0' ) ) ) ] )
% 0.73/1.09 , 2, clause( 15, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) )
% 0.73/1.09 ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 48, [ 'E'( '0', f( X ) ), 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f(
% 0.73/1.09 X ), '0' ) ] )
% 0.73/1.09 , clause( 631, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), 'E'( s( '0' ), f(
% 0.73/1.09 suc( X ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 632, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), 'E'( s( '0' ), f( X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 7, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 0.73/1.09 '0' ) ) ) ] )
% 0.73/1.09 , 2, clause( 6, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 49, [ 'E'( '0', f( X ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f( X ),
% 0.73/1.09 '0' ) ] )
% 0.73/1.09 , clause( 632, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), 'E'( s( '0' ), f(
% 0.73/1.09 X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 633, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ) ] )
% 0.73/1.09 , clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.09 , 0, clause( 49, [ 'E'( '0', f( X ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f( X
% 0.73/1.09 ), '0' ) ] )
% 0.73/1.09 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 50, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ) ] )
% 0.73/1.09 , clause( 633, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 634, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( suc( z ) ) ) ] )
% 0.73/1.09 , clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.10 , 0, clause( 48, [ 'E'( '0', f( X ) ), 'E'( s( '0' ), f( suc( X ) ) ), 'LE'(
% 0.73/1.10 f( X ), '0' ) ] )
% 0.73/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 51, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( suc( z ) ) ) ] )
% 0.73/1.10 , clause( 634, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( suc( z ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 635, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s( '0'
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , clause( 1, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s( '0'
% 0.73/1.10 ) ), ~( 'LE'( f( suc( suc( X ) ) ), s( s( '0' ) ) ) ) ] )
% 0.73/1.10 , 2, clause( 2, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( suc(
% 0.73/1.10 X ) ) )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 52, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s( '0' )
% 0.73/1.10 ) ] )
% 0.73/1.10 , clause( 635, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s(
% 0.73/1.10 '0' ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 636, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), 'E'( s( '0' ), f(
% 0.73/1.10 suc( suc( X ) ) ) ) ] )
% 0.73/1.10 , clause( 7, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 0.73/1.10 '0' ) ) ) ] )
% 0.73/1.10 , 2, clause( 52, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s(
% 0.73/1.10 '0' ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 53, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'E'( '0', f( X ) ),
% 0.73/1.10 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , clause( 636, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), 'E'( s( '0' ), f(
% 0.73/1.10 suc( suc( X ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.10 2 ), ==>( 2, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 637, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), 'E'( s( '0'
% 0.73/1.10 ), f( suc( suc( suc( X ) ) ) ) ) ] )
% 0.73/1.10 , clause( 12, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 0.73/1.10 suc( X ) ), s( '0' ) ) ) ] )
% 0.73/1.10 , 2, clause( 52, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s(
% 0.73/1.10 '0' ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( X ) )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 54, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( suc( suc( X
% 0.73/1.10 ) ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , clause( 637, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), 'E'( s(
% 0.73/1.10 '0' ), f( suc( suc( suc( X ) ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 638, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), 'E'( s( '0'
% 0.73/1.10 ), f( suc( suc( X ) ) ) ) ] )
% 0.73/1.10 , clause( 12, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 0.73/1.10 suc( X ) ), s( '0' ) ) ) ] )
% 0.73/1.10 , 2, clause( 15, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) )
% 0.73/1.10 ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( X ) )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 55, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( suc( X ) )
% 0.73/1.10 ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , clause( 638, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), 'E'( s(
% 0.73/1.10 '0' ), f( suc( suc( X ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 639, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), 'E'( s( '0'
% 0.73/1.10 ), f( suc( X ) ) ) ] )
% 0.73/1.10 , clause( 12, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 0.73/1.10 suc( X ) ), s( '0' ) ) ) ] )
% 0.73/1.10 , 2, clause( 6, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( X ) )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 56, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( X ) ) ),
% 0.73/1.10 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , clause( 639, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), 'E'( s(
% 0.73/1.10 '0' ), f( suc( X ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 640, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.10 , 0, clause( 56, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( X ) )
% 0.73/1.10 ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 57, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , clause( 640, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) )
% 0.73/1.10 ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 641, [ 'E'( s( '0' ), f( suc( suc( z ) ) ) ), 'E'( '0', f( z ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.10 , 0, clause( 53, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'E'( '0', f( X )
% 0.73/1.10 ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 59, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , clause( 641, [ 'E'( s( '0' ), f( suc( suc( z ) ) ) ), 'E'( '0', f( z ) )
% 0.73/1.10 ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 642, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( suc( z ) )
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.10 , 0, clause( 55, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( suc( X
% 0.73/1.10 ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 60, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( suc( z ) )
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , clause( 642, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( suc( z )
% 0.73/1.10 ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 643, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), 'E'(
% 0.73/1.10 s( '0' ), f( suc( suc( suc( suc( X ) ) ) ) ) ) ] )
% 0.73/1.10 , clause( 13, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), ~(
% 0.73/1.10 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ) ] )
% 0.73/1.10 , 2, clause( 52, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'LE'( f( X ), s(
% 0.73/1.10 '0' ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( suc(
% 0.73/1.10 X ) ) )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 61, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 suc( suc( X ) ) ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , clause( 643, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), 'E'(
% 0.73/1.10 s( '0' ), f( suc( suc( suc( suc( X ) ) ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 644, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), 'E'(
% 0.73/1.10 s( '0' ), f( suc( suc( suc( X ) ) ) ) ) ] )
% 0.73/1.10 , clause( 13, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), ~(
% 0.73/1.10 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ) ] )
% 0.73/1.10 , 2, clause( 15, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) )
% 0.73/1.10 ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( suc(
% 0.73/1.10 X ) ) )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 62, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 suc( X ) ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , clause( 644, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), 'E'(
% 0.73/1.10 s( '0' ), f( suc( suc( suc( X ) ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 645, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), 'E'(
% 0.73/1.10 s( '0' ), f( suc( suc( X ) ) ) ) ] )
% 0.73/1.10 , clause( 13, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), ~(
% 0.73/1.10 'LE'( f( suc( suc( X ) ) ), s( '0' ) ) ) ] )
% 0.73/1.10 , 2, clause( 6, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( suc(
% 0.73/1.10 X ) ) )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 63, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , clause( 645, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'LE'( f( X ), '0' ), 'E'(
% 0.73/1.10 s( '0' ), f( suc( suc( X ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 646, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 z ) ) ) ) ] )
% 0.73/1.10 , clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.10 , 0, clause( 63, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc(
% 0.73/1.10 suc( X ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 64, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 z ) ) ) ) ] )
% 0.73/1.10 , clause( 646, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc(
% 0.73/1.10 suc( z ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 647, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( suc( suc(
% 0.73/1.10 z ) ) ) ) ) ] )
% 0.73/1.10 , clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.10 , 0, clause( 54, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 suc( X ) ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 65, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( suc( suc( z
% 0.73/1.10 ) ) ) ) ) ] )
% 0.73/1.10 , clause( 647, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( suc( suc(
% 0.73/1.10 z ) ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 648, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 suc( z ) ) ) ) ) ] )
% 0.73/1.10 , clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.10 , 0, clause( 62, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc(
% 0.73/1.10 suc( suc( X ) ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 66, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 suc( z ) ) ) ) ) ] )
% 0.73/1.10 , clause( 648, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc(
% 0.73/1.10 suc( suc( z ) ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 649, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.10 , clause( 14, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.10 , 0, clause( 61, [ 'E'( '0', f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc(
% 0.73/1.10 suc( suc( suc( X ) ) ) ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 67, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.10 , clause( 649, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc(
% 0.73/1.10 suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 650, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 0.73/1.10 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc(
% 0.73/1.10 X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 0.73/1.10 '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X ) ) ) ] )
% 0.73/1.10 , clause( 0, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 0.73/1.10 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), 'E'( f( X ), f( suc(
% 0.73/1.10 X ) ) ), 'E'( f( Y ), f( suc( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , 6, clause( 10, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) )
% 0.73/1.10 , 'E'( f( X ), f( suc( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.10 , 3, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.73/1.10 , X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 652, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 0.73/1.10 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc(
% 0.73/1.10 X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f(
% 0.73/1.10 X ), f( suc( X ) ) ) ] )
% 0.73/1.10 , clause( 650, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.10 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f(
% 0.73/1.10 suc( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 0.73/1.10 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X ) ) ) ] )
% 0.73/1.10 , 4, 5, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 654, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 0.73/1.10 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc(
% 0.73/1.10 X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ) ] )
% 0.73/1.10 , clause( 652, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.10 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f(
% 0.73/1.10 suc( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 0.73/1.10 'E'( f( X ), f( suc( X ) ) ) ] )
% 0.73/1.10 , 4, 7, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 655, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 0.73/1.10 'E'( '0', f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) )
% 0.73/1.10 ), ~( 'E'( '0', f( suc( X ) ) ) ) ] )
% 0.73/1.10 , clause( 654, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.10 ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f(
% 0.73/1.10 suc( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 656, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~(
% 0.73/1.10 'E'( '0', f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) )
% 0.73/1.10 ) ] )
% 0.73/1.10 , clause( 655, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.10 ~( 'E'( '0', f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X
% 0.73/1.10 ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ) ] )
% 0.73/1.10 , 0, 5, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 657, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), 'E'(
% 0.73/1.10 f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , clause( 656, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.10 ~( 'E'( '0', f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X
% 0.73/1.10 ) ) ) ] )
% 0.73/1.10 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 658, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), 'E'(
% 0.73/1.10 f( X ), f( suc( X ) ) ) ] )
% 0.73/1.10 , clause( 657, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.10 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 68, [ ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.73/1.10 , ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , clause( 658, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.73/1.10 'E'( f( X ), f( suc( X ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 659, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ),
% 0.73/1.10 ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f(
% 0.73/1.10 X ), f( suc( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ) ] )
% 0.73/1.10 , clause( 38, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.73/1.10 , ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , 3, clause( 3, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) )
% 0.73/1.10 ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.10 , 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 661, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ),
% 0.73/1.10 ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'(
% 0.73/1.10 s( '0' ), f( suc( X ) ) ) ) ] )
% 0.73/1.10 , clause( 659, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.73/1.10 , ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), 'E'(
% 0.73/1.10 f( X ), f( suc( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ) ] )
% 0.73/1.10 , 1, 4, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 663, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ),
% 0.73/1.10 ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , clause( 661, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.73/1.10 , ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~(
% 0.73/1.10 'E'( s( '0' ), f( suc( X ) ) ) ) ] )
% 0.73/1.10 , 2, 4, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 664, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) ),
% 0.73/1.10 ~( 'E'( s( '0' ), f( suc( X ) ) ) ) ] )
% 0.73/1.10 , clause( 663, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.73/1.10 , ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 69, [ 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.73/1.10 ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , clause( 664, [ ~( 'E'( s( '0' ), f( X ) ) ), 'E'( f( X ), f( suc( X ) ) )
% 0.73/1.10 , ~( 'E'( s( '0' ), f( suc( X ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.10 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 665, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), iLEQ( suc( X ), suc( X
% 0.73/1.10 ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , clause( 17, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( f( X )
% 0.73/1.10 , f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( X ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.10 , 1, clause( 69, [ 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.10 X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 666, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), iLEQ( suc( X ), suc( X
% 0.73/1.10 ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , clause( 665, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), iLEQ( suc( X ), suc(
% 0.73/1.10 X ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) )
% 0.73/1.10 ] )
% 0.73/1.10 , 1, 4, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 667, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), iLEQ( suc( X ), suc( X
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , clause( 666, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), iLEQ( suc( X ), suc(
% 0.73/1.10 X ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , 2, 4, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 79, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), iLEQ( suc( X ), suc( X
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , clause( 667, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), iLEQ( suc( X ), suc(
% 0.73/1.10 X ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 668, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ), ~(
% 0.73/1.10 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , clause( 33, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 0.73/1.10 ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.10 , 3, clause( 68, [ ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X )
% 0.73/1.10 ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 669, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ), ~(
% 0.73/1.10 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , clause( 668, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.10 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ),
% 0.73/1.10 ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , 0, 4, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 670, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.10 , clause( 669, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.10 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ),
% 0.73/1.10 ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , 2, 4, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 80, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X )
% 0.73/1.10 ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.10 , clause( 670, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.10 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 671, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) )
% 0.73/1.10 ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 0.73/1.10 ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , clause( 80, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.10 , 3, clause( 8, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f(
% 0.73/1.10 suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) )
% 0.73/1.10 ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.10 , 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 676, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) )
% 0.73/1.10 ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 0.73/1.10 , f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , clause( 671, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.10 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) )
% 0.73/1.10 ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ),
% 0.73/1.10 ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , 5, clause( 68, [ ~( 'E'( '0', f( suc( X ) ) ) ), 'E'( f( X ), f( suc( X )
% 0.73/1.10 ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 678, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~(
% 0.73/1.10 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X )
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , clause( 676, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.10 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( suc( X ) ) ) )
% 0.73/1.10 ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 0.73/1.10 , f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 679, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 0.73/1.10 , f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , clause( 678, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.10 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~(
% 0.73/1.10 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X )
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 680, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0'
% 0.73/1.10 , f( X ) ) ) ] )
% 0.73/1.10 , clause( 679, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.10 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 0.73/1.10 '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , 0, 4, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 681, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , clause( 680, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.10 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 0.73/1.10 '0', f( X ) ) ) ] )
% 0.73/1.10 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 682, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc( X
% 0.73/1.10 ) ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , clause( 681, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.10 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 81, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( X ) )
% 0.73/1.10 ), ~( 'E'( '0', f( suc( X ) ) ) ) ] )
% 0.73/1.10 , clause( 682, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( suc(
% 0.73/1.10 X ) ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.10 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 683, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc(
% 0.73/1.10 X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) )
% 0.73/1.10 ) ] )
% 0.73/1.10 , clause( 43, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( X ) ) ), ~( 'E'( f( X ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.10 suc( X ) ) ) ), ~( iLEQ( suc( X ), suc( X ) ) ) ] )
% 0.73/1.10 , 2, clause( 69, [ 'E'( f( X ), f( suc( X ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.10 X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 685, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc(
% 0.73/1.10 X ) ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , clause( 683, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ),
% 0.73/1.10 suc( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X
% 0.73/1.10 ) ) ) ] )
% 0.73/1.10 , 2, 4, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 686, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc(
% 0.73/1.10 X ) ) ) ] )
% 0.73/1.10 , clause( 685, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ),
% 0.73/1.10 suc( X ) ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , 1, 4, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 82, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ), suc(
% 0.73/1.10 X ) ) ) ] )
% 0.73/1.10 , clause( 686, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ),
% 0.73/1.10 suc( X ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.10 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 687, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.10 suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s(
% 0.73/1.10 '0' ), f( X ) ) ) ] )
% 0.73/1.10 , clause( 82, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( iLEQ( suc( X ),
% 0.73/1.10 suc( X ) ) ) ] )
% 0.73/1.10 , 3, clause( 79, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s(
% 0.73/1.10 '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), iLEQ( suc( X ),
% 0.73/1.10 suc( X ) ) ] )
% 0.73/1.10 , 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 688, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.10 suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , clause( 687, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.10 suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s(
% 0.73/1.10 '0' ), f( X ) ) ) ] )
% 0.73/1.10 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 690, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X
% 0.73/1.10 ) ) ) ] )
% 0.73/1.10 , clause( 688, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.10 suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ) ] )
% 0.73/1.10 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 691, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ) ] )
% 0.73/1.10 , clause( 690, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.10 X ) ) ) ] )
% 0.73/1.10 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 83, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.73/1.10 ) ), ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ) ] )
% 0.73/1.10 , clause( 691, [ ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.10 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 694, [ ~( 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ), ~( 'E'( s( '0' )
% 0.73/1.10 , f( suc( suc( suc( z ) ) ) ) ) ), 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 0.73/1.10 , clause( 83, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 0.73/1.10 ) ) ), ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ) ] )
% 0.73/1.10 , 2, clause( 67, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc(
% 0.73/1.10 suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, suc( suc( z ) ) )] ), substitution( 1, [] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 695, [ ~( 'E'( s( '0' ), f( suc( suc( suc( z ) ) ) ) ) ), 'E'( '0'
% 0.73/1.10 , f( suc( suc( z ) ) ) ), 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 0.73/1.10 , clause( 694, [ ~( 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ), ~( 'E'( s( '0'
% 0.73/1.10 ), f( suc( suc( suc( z ) ) ) ) ) ), 'E'( '0', f( suc( suc( z ) ) ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , 0, clause( 64, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc(
% 0.73/1.10 suc( z ) ) ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 696, [ ~( 'E'( s( '0' ), f( suc( suc( suc( z ) ) ) ) ) ), 'E'( '0'
% 0.73/1.10 , f( suc( suc( z ) ) ) ) ] )
% 0.73/1.10 , clause( 695, [ ~( 'E'( s( '0' ), f( suc( suc( suc( z ) ) ) ) ) ), 'E'(
% 0.73/1.10 '0', f( suc( suc( z ) ) ) ), 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 0.73/1.10 , 1, 2, substitution( 0, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 85, [ 'E'( '0', f( suc( suc( z ) ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.10 suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.10 , clause( 696, [ ~( 'E'( s( '0' ), f( suc( suc( suc( z ) ) ) ) ) ), 'E'(
% 0.73/1.10 '0', f( suc( suc( z ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 699, [ ~( 'E'( s( '0' ), f( suc( z ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.10 suc( suc( z ) ) ) ) ), 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.10 , clause( 83, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 0.73/1.10 ) ) ), ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ) ] )
% 0.73/1.10 , 2, clause( 65, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.73/1.10 suc( z ) ) ) ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, suc( z ) )] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 700, [ ~( 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ), 'E'( '0', f( suc(
% 0.73/1.10 z ) ) ), 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.10 , clause( 699, [ ~( 'E'( s( '0' ), f( suc( z ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.10 suc( suc( z ) ) ) ) ), 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.10 , 0, clause( 57, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) )
% 0.73/1.10 ) ] )
% 0.73/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 701, [ ~( 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ), 'E'( '0', f( suc(
% 0.73/1.10 z ) ) ) ] )
% 0.73/1.10 , clause( 700, [ ~( 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ), 'E'( '0', f(
% 0.73/1.10 suc( z ) ) ), 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.10 , 1, 2, substitution( 0, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 89, [ 'E'( '0', f( suc( z ) ) ), ~( 'E'( s( '0' ), f( suc( suc( z )
% 0.73/1.10 ) ) ) ) ] )
% 0.73/1.10 , clause( 701, [ ~( 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ), 'E'( '0', f(
% 0.73/1.10 suc( z ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 704, [ ~( 'E'( s( '0' ), f( z ) ) ), ~( 'E'( s( '0' ), f( suc( z )
% 0.73/1.10 ) ) ), 'E'( '0', f( z ) ) ] )
% 0.73/1.10 , clause( 83, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 0.73/1.10 ) ) ), ~( 'E'( s( '0' ), f( suc( suc( X ) ) ) ) ) ] )
% 0.73/1.10 , 2, clause( 59, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( suc( suc( z ) ) )
% 0.73/1.10 ) ] )
% 0.73/1.10 , 1, substitution( 0, [ :=( X, z )] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 705, [ ~( 'E'( s( '0' ), f( suc( z ) ) ) ), 'E'( '0', f( z ) ), 'E'(
% 0.73/1.10 '0', f( z ) ) ] )
% 0.73/1.10 , clause( 704, [ ~( 'E'( s( '0' ), f( z ) ) ), ~( 'E'( s( '0' ), f( suc( z
% 0.73/1.10 ) ) ) ), 'E'( '0', f( z ) ) ] )
% 0.73/1.10 , 0, clause( 50, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 706, [ ~( 'E'( s( '0' ), f( suc( z ) ) ) ), 'E'( '0', f( z ) ) ] )
% 0.73/1.10 , clause( 705, [ ~( 'E'( s( '0' ), f( suc( z ) ) ) ), 'E'( '0', f( z ) ),
% 0.73/1.10 'E'( '0', f( z ) ) ] )
% 0.73/1.10 , 1, 2, substitution( 0, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 94, [ 'E'( '0', f( z ) ), ~( 'E'( s( '0' ), f( suc( z ) ) ) ) ] )
% 0.73/1.10 , clause( 706, [ ~( 'E'( s( '0' ), f( suc( z ) ) ) ), 'E'( '0', f( z ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 707, [ 'E'( '0', f( z ) ), 'E'( '0', f( z ) ) ] )
% 0.73/1.10 , clause( 94, [ 'E'( '0', f( z ) ), ~( 'E'( s( '0' ), f( suc( z ) ) ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , 1, clause( 51, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( suc( z ) ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 708, [ 'E'( '0', f( z ) ) ] )
% 0.73/1.10 , clause( 707, [ 'E'( '0', f( z ) ), 'E'( '0', f( z ) ) ] )
% 0.73/1.10 , 0, 1, substitution( 0, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 99, [ 'E'( '0', f( z ) ) ] )
% 0.73/1.10 , clause( 708, [ 'E'( '0', f( z ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 709, [ 'E'( '0', f( suc( z ) ) ), 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.10 , clause( 89, [ 'E'( '0', f( suc( z ) ) ), ~( 'E'( s( '0' ), f( suc( suc( z
% 0.73/1.10 ) ) ) ) ) ] )
% 0.73/1.10 , 1, clause( 60, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( suc( z
% 0.73/1.10 ) ) ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 factor(
% 0.73/1.10 clause( 710, [ 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.10 , clause( 709, [ 'E'( '0', f( suc( z ) ) ), 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.10 , 0, 1, substitution( 0, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 105, [ 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.10 , clause( 710, [ 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 712, [ ~( 'E'( '0', f( suc( suc( z ) ) ) ) ), ~( 'E'( '0', f( z ) )
% 0.73/1.10 ) ] )
% 0.73/1.10 , clause( 81, [ ~( 'E'( '0', f( suc( suc( X ) ) ) ) ), ~( 'E'( '0', f( X )
% 0.73/1.10 ) ), ~( 'E'( '0', f( suc( X ) ) ) ) ] )
% 0.73/1.10 , 2, clause( 105, [ 'E'( '0', f( suc( z ) ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, z )] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 713, [ ~( 'E'( '0', f( suc( suc( z ) ) ) ) ) ] )
% 0.73/1.10 , clause( 712, [ ~( 'E'( '0', f( suc( suc( z ) ) ) ) ), ~( 'E'( '0', f( z )
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , 1, clause( 99, [ 'E'( '0', f( z ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 107, [ ~( 'E'( '0', f( suc( suc( z ) ) ) ) ) ] )
% 0.73/1.10 , clause( 713, [ ~( 'E'( '0', f( suc( suc( z ) ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 714, [ ~( 'E'( s( '0' ), f( suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.10 , clause( 107, [ ~( 'E'( '0', f( suc( suc( z ) ) ) ) ) ] )
% 0.73/1.10 , 0, clause( 85, [ 'E'( '0', f( suc( suc( z ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.10 suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 109, [ ~( 'E'( s( '0' ), f( suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.10 , clause( 714, [ ~( 'E'( s( '0' ), f( suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 715, [ 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 0.73/1.10 , clause( 109, [ ~( 'E'( s( '0' ), f( suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.10 , 0, clause( 66, [ 'E'( '0', f( suc( suc( z ) ) ) ), 'E'( s( '0' ), f( suc(
% 0.73/1.10 suc( suc( z ) ) ) ) ) ] )
% 0.73/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 resolution(
% 0.73/1.10 clause( 716, [] )
% 0.73/1.10 , clause( 107, [ ~( 'E'( '0', f( suc( suc( z ) ) ) ) ) ] )
% 0.73/1.10 , 0, clause( 715, [ 'E'( '0', f( suc( suc( z ) ) ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 110, [] )
% 0.73/1.10 , clause( 716, [] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 end.
% 0.73/1.10
% 0.73/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.10
% 0.73/1.10 Memory use:
% 0.73/1.10
% 0.73/1.10 space for terms: 4392
% 0.73/1.10 space for clauses: 5306
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 clauses generated: 185
% 0.73/1.10 clauses kept: 111
% 0.73/1.10 clauses selected: 59
% 0.73/1.10 clauses deleted: 21
% 0.73/1.10 clauses inuse deleted: 0
% 0.73/1.10
% 0.73/1.10 subsentry: 2575
% 0.73/1.10 literals s-matched: 1442
% 0.73/1.10 literals matched: 1014
% 0.73/1.10 full subsumption: 832
% 0.73/1.10
% 0.73/1.10 checksum: -765290952
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Bliksem ended
%------------------------------------------------------------------------------