%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO683-1 : 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 14:29:24 EDT 2022
% Result : Unsatisfiable 0.88s 1.31s
% Output : Refutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO683-1 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jul 9 11:00:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.88/1.25 *** allocated 10000 integers for termspace/termends
% 0.88/1.25 *** allocated 10000 integers for clauses
% 0.88/1.25 *** allocated 10000 integers for justifications
% 0.88/1.25 Bliksem 1.12
% 0.88/1.25
% 0.88/1.25
% 0.88/1.25 Automatic Strategy Selection
% 0.88/1.25
% 0.88/1.25 Clauses:
% 0.88/1.25 [
% 0.88/1.25 [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), iLEQ( suc( X
% 0.88/1.25 ), suc( X ) ) ],
% 0.88/1.25 [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ),
% 0.88/1.25 iLEQ( suc( X ), suc( X ) ) ],
% 0.88/1.25 [ 'LE'( f( X ), s( s( s( s( '0' ) ) ) ) ) ],
% 0.88/1.25 [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( X )
% 0.88/1.25 ) ) ), iLEQ( suc( X ), suc( X ) ) ],
% 0.88/1.25 [ ~( 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ) ), ~( 'E'( s( s( s( '0' )
% 0.88/1.25 ) ), f( Y ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( 'E'( s( s( s( '0' )
% 0.88/1.25 ) ), f( suc( Y ) ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'(
% 0.88/1.25 s( s( s( '0' ) ) ), f( T ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( Z ) ) ),
% 0.88/1.25 ~( iLEQ( suc( X ), suc( Z ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( U ) ) ),
% 0.88/1.25 ~( 'E'( s( s( s( '0' ) ) ), f( suc( T ) ) ) ), ~( iLEQ( suc( T ), suc( Y
% 0.88/1.25 ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( Z ) ) ) ), ~( 'E'( s( s( s(
% 0.88/1.25 '0' ) ) ), f( suc( U ) ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ) ],
% 0.88/1.25 [ ~( 'LE'( f( suc( X ) ), s( s( s( '0' ) ) ) ) ), 'E'( s( s( '0' ) ), f(
% 0.88/1.25 suc( X ) ) ), 'LE'( f( X ), s( s( '0' ) ) ) ],
% 0.88/1.25 [ ~( 'LE'( f( X ), s( s( s( '0' ) ) ) ) ), 'E'( s( s( '0' ) ), f( X ) )
% 0.88/1.25 , 'LE'( f( X ), s( s( '0' ) ) ) ],
% 0.88/1.25 [ ~( 'LE'( f( suc( X ) ), s( s( s( s( '0' ) ) ) ) ) ), 'E'( s( s( s( '0'
% 0.88/1.25 ) ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s( s( '0' ) ) ) ) ],
% 0.88/1.25 [ ~( 'LE'( f( z ), '0' ) ) ],
% 0.88/1.25 [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'(
% 0.88/1.25 f( X ), '0' ) ],
% 0.88/1.25 [ ~( 'E'( s( s( '0' ) ), f( suc( X ) ) ) ), ~( 'E'( s( s( '0' ) ), f( Y
% 0.88/1.25 ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( 'E'( s( s( '0' ) ), f( T ) )
% 0.88/1.25 ), ~( 'E'( s( s( '0' ) ), f( suc( U ) ) ) ), ~( iLEQ( suc( X ), suc( Y )
% 0.88/1.25 ) ), ~( 'E'( s( s( '0' ) ), f( suc( Z ) ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 0.88/1.25 U ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( T ) ) ) ), ~( 'E'( s( s( '0' ) )
% 0.88/1.25 , f( suc( Y ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( s( s( '0' )
% 0.88/1.25 ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f( Z ) ) ), ~( iLEQ( suc( Y ), suc(
% 0.88/1.25 U ) ) ) ],
% 0.88/1.25 [ ~( 'LE'( f( X ), s( s( s( s( '0' ) ) ) ) ) ), 'E'( s( s( s( '0' ) ) )
% 0.88/1.25 , f( X ) ), 'LE'( f( X ), s( s( s( '0' ) ) ) ) ],
% 0.88/1.25 [ ~( 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f(
% 0.88/1.25 suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ],
% 0.88/1.25 [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( suc( X )
% 0.88/1.25 ) ), 'LE'( f( X ), s( '0' ) ) ],
% 0.88/1.25 [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f(
% 0.88/1.25 X ), s( '0' ) ) ],
% 0.88/1.25 [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'(
% 0.88/1.25 '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( X ) ) )
% 0.88/1.25 , ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f(
% 0.88/1.25 Z ) ) ), ~( iLEQ( suc( Y ), suc( T ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) )
% 0.88/1.25 , ~( iLEQ( suc( U ), suc( X ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~(
% 0.88/1.25 iLEQ( suc( T ), suc( Z ) ) ), ~( 'E'( '0', f( U ) ) ) ],
% 0.88/1.25 [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f( X ), '0' )
% 0.88/1.25 ],
% 0.88/1.25 [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~(
% 0.88/1.25 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z ) ) ) ),
% 0.88/1.25 ~( 'E'( s( '0' ), f( suc( T ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'(
% 0.88/1.25 s( '0' ), f( Z ) ) ), ~( iLEQ( suc( T ), suc( Z ) ) ), ~( 'E'( s( '0' ),
% 0.88/1.25 f( U ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( T ) ) )
% 0.88/1.25 , ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ),
% 0.88/1.25 ~( iLEQ( suc( Z ), suc( U ) ) ) ]
% 0.88/1.25 ] .
% 0.88/1.25
% 0.88/1.25
% 0.88/1.25 percentage equality = 0.000000, percentage horn = 0.555556
% 0.88/1.25 This a non-horn, non-equality problem
% 0.88/1.25
% 0.88/1.25
% 0.88/1.25 Options Used:
% 0.88/1.25
% 0.88/1.25 useres = 1
% 0.88/1.25 useparamod = 0
% 0.88/1.25 useeqrefl = 0
% 0.88/1.25 useeqfact = 0
% 0.88/1.25 usefactor = 1
% 0.88/1.25 usesimpsplitting = 0
% 0.88/1.25 usesimpdemod = 0
% 0.88/1.25 usesimpres = 3
% 0.88/1.25
% 0.88/1.25 resimpinuse = 1000
% 0.88/1.25 resimpclauses = 20000
% 0.88/1.25 substype = standard
% 0.88/1.25 backwardsubs = 1
% 0.88/1.25 selectoldest = 5
% 0.88/1.31
% 0.88/1.31 litorderings [0] = split
% 0.88/1.31 litorderings [1] = liftord
% 0.88/1.31
% 0.88/1.31 termordering = none
% 0.88/1.31
% 0.88/1.31 litapriori = 1
% 0.88/1.31 termapriori = 0
% 0.88/1.31 litaposteriori = 0
% 0.88/1.31 termaposteriori = 0
% 0.88/1.31 demodaposteriori = 0
% 0.88/1.31 ordereqreflfact = 0
% 0.88/1.31
% 0.88/1.31 litselect = none
% 0.88/1.31
% 0.88/1.31 maxweight = 15
% 0.88/1.31 maxdepth = 30000
% 0.88/1.31 maxlength = 115
% 0.88/1.31 maxnrvars = 195
% 0.88/1.31 excuselevel = 1
% 0.88/1.31 increasemaxweight = 1
% 0.88/1.31
% 0.88/1.31 maxselected = 10000000
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31
% 0.88/1.31 showgenerated = 0
% 0.88/1.31 showkept = 0
% 0.88/1.31 showselected = 0
% 0.88/1.31 showdeleted = 0
% 0.88/1.31 showresimp = 1
% 0.88/1.31 showstatus = 2000
% 0.88/1.31
% 0.88/1.31 prologoutput = 1
% 0.88/1.31 nrgoals = 5000000
% 0.88/1.31 totalproof = 1
% 0.88/1.31
% 0.88/1.31 Symbols occurring in the translation:
% 0.88/1.31
% 0.88/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.31 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.88/1.31 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 0.88/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.31 '0' [39, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.88/1.31 f [41, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.88/1.31 'E' [42, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.88/1.31 suc [43, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.88/1.31 iLEQ [44, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.88/1.31 s [45, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.88/1.31 'LE' [48, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.88/1.31 z [57, 0] (w:1, o:21, a:1, s:1, b:0).
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 15
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 866
% 0.88/1.31 Kept: 46
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 16
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 16
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 866
% 0.88/1.31 Kept: 46
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 17
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 17
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 866
% 0.88/1.31 Kept: 46
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 18
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 18
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 866
% 0.88/1.31 Kept: 46
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 19
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 19
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 868
% 0.88/1.31 Kept: 47
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 20
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 20
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 870
% 0.88/1.31 Kept: 48
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 21
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 21
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 872
% 0.88/1.31 Kept: 49
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 22
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 22
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 874
% 0.88/1.31 Kept: 50
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 23
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 23
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 880
% 0.88/1.31 Kept: 52
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 24
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 24
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 882
% 0.88/1.31 Kept: 53
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 25
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 25
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 884
% 0.88/1.31 Kept: 54
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 26
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 26
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 890
% 0.88/1.31 Kept: 59
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 27
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 27
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 901
% 0.88/1.31 Kept: 65
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 28
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 28
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 908
% 0.88/1.31 Kept: 70
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 29
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 29
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 932
% 0.88/1.31 Kept: 87
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 30
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 30
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 947
% 0.88/1.31 Kept: 98
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 31
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 31
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 977
% 0.88/1.31 Kept: 113
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 32
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 32
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 1005
% 0.88/1.31 Kept: 128
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 33
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 33
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 1051
% 0.88/1.31 Kept: 147
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 34
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 34
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 1060
% 0.88/1.31 Kept: 149
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 35
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31 Resimplifying inuse:
% 0.88/1.31 Done
% 0.88/1.31
% 0.88/1.31 Failed to find proof!
% 0.88/1.31 maxweight = 35
% 0.88/1.31 maxnrclauses = 10000000
% 0.88/1.31 Generated: 1076
% 0.88/1.31 Kept: 155
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 The strategy used was not complete!
% 0.88/1.31
% 0.88/1.31 Increased maxweight to 36
% 0.88/1.31
% 0.88/1.31 Starting Search:
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 Bliksems!, er is een bewijs:
% 0.88/1.31 % SZS status Unsatisfiable
% 0.88/1.31 % SZS output start Refutation
% 0.88/1.31
% 0.88/1.31 clause( 0, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), iLEQ(
% 0.88/1.31 suc( X ), suc( X ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 1, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.88/1.31 ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 2, [ 'LE'( f( X ), s( s( s( s( '0' ) ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 3, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 0.88/1.31 suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 4, [ ~( 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ) ), ~( 'E'( s( s( s(
% 0.88/1.31 '0' ) ) ), f( Y ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( Y ) ) ) ), ~(
% 0.88/1.31 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( T ) )
% 0.88/1.31 ), ~( 'E'( s( s( s( '0' ) ) ), f( Z ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f(
% 0.88/1.31 U ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( T ) ) ) ), ~( 'E'( s( s( s(
% 0.88/1.31 '0' ) ) ), f( suc( Z ) ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( U ) ) )
% 0.88/1.31 ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( iLEQ( suc( X ), suc( Z ) ) ), ~(
% 0.88/1.31 iLEQ( suc( U ), suc( X ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 5, [ 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s( '0' )
% 0.88/1.31 ) ), ~( 'LE'( f( suc( X ) ), s( s( s( '0' ) ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 6, [ 'E'( s( s( '0' ) ), f( X ) ), 'LE'( f( X ), s( s( '0' ) ) ),
% 0.88/1.31 ~( 'LE'( f( X ), s( s( s( '0' ) ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 7, [ 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s(
% 0.88/1.31 s( '0' ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 8, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 9, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 0.88/1.31 suc( X ) ), s( '0' ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 10, [ ~( 'E'( s( s( '0' ) ), f( suc( X ) ) ) ), ~( 'E'( s( s( '0' )
% 0.88/1.31 ), f( Y ) ) ), ~( 'E'( s( s( '0' ) ), f( T ) ) ), ~( 'E'( s( s( '0' ) )
% 0.88/1.31 , f( suc( U ) ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( Z ) ) ) ), ~( 'E'( s(
% 0.88/1.31 s( '0' ) ), f( U ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( T ) ) ) ), ~( 'E'(
% 0.88/1.31 s( s( '0' ) ), f( suc( Y ) ) ) ), ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~(
% 0.88/1.31 'E'( s( s( '0' ) ), f( Z ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( iLEQ(
% 0.88/1.31 suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( iLEQ( suc( T
% 0.88/1.31 ), suc( X ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 11, [ 'E'( s( s( s( '0' ) ) ), f( X ) ), 'LE'( f( X ), s( s( s( '0'
% 0.88/1.31 ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 12, [ ~( 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'( s( s( s( '0'
% 0.88/1.31 ) ) ), f( suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 13, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ), ~(
% 0.88/1.31 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 14, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ), ~( 'LE'( f(
% 0.88/1.31 X ), s( s( '0' ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 15, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) )
% 0.88/1.31 ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0'
% 0.88/1.31 , f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 0.88/1.31 ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( '0', f(
% 0.88/1.31 U ) ) ), ~( iLEQ( suc( Y ), suc( T ) ) ), ~( iLEQ( suc( T ), suc( Z ) ) )
% 0.88/1.31 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 16, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 0.88/1.31 '0' ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 17, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( Y )
% 0.88/1.31 ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z )
% 0.88/1.31 ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) )
% 0.88/1.31 , ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' ), f( U ) ) ), ~( 'E'( s(
% 0.88/1.31 '0' ), f( T ) ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( iLEQ( suc( X )
% 0.88/1.31 , suc( Y ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ), ~( iLEQ( suc( Z ), suc(
% 0.88/1.31 U ) ) ), ~( iLEQ( suc( T ), suc( Z ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 23, [ ~( 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ) ), ~( 'E'( s( s(
% 0.88/1.31 s( '0' ) ) ), f( Y ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( Y ) ) ) ),
% 0.88/1.31 ~( 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( Z
% 0.88/1.31 ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( Z ) ) ) ), ~( iLEQ( suc( X )
% 0.88/1.31 , suc( Y ) ) ), ~( iLEQ( suc( Z ), suc( X ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 25, [ ~( 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'( s( s( s( '0'
% 0.88/1.31 ) ) ), f( suc( X ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 38, [ ~( 'E'( s( s( '0' ) ), f( suc( X ) ) ) ), ~( 'E'( s( s( '0' )
% 0.88/1.31 ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f( Y ) ) ), ~( 'E'( s( s( '0' ) )
% 0.88/1.31 , f( suc( Z ) ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( Y ) ) ) ), ~( 'E'( s(
% 0.88/1.31 s( '0' ) ), f( Z ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( Z
% 0.88/1.31 ), suc( Y ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 40, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 0.88/1.31 suc( X ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 42, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) )
% 0.88/1.31 ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc(
% 0.88/1.31 Z ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( Z ), suc( X ) ) ), ~(
% 0.88/1.31 iLEQ( suc( X ), suc( Y ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 44, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 47, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X )
% 0.88/1.31 ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z )
% 0.88/1.31 ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~(
% 0.88/1.31 iLEQ( suc( Z ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 49, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.88/1.31 ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 50, [ 'E'( s( s( '0' ) ), f( X ) ), 'E'( s( s( s( '0' ) ) ), f( suc(
% 0.88/1.31 X ) ) ), 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 51, [ 'E'( s( s( '0' ) ), f( X ) ), 'E'( s( s( s( '0' ) ) ), f( X )
% 0.88/1.31 ), 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 52, [ 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'E'( s( '0' ), f( suc( X
% 0.88/1.31 ) ) ), 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' )
% 0.88/1.31 ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 53, [ 'E'( s( s( '0' ) ), f( X ) ), 'E'( s( '0' ), f( X ) ), 'E'( s(
% 0.88/1.31 s( s( '0' ) ) ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 54, [ 'E'( s( '0' ), f( suc( X ) ) ), 'E'( s( s( s( '0' ) ) ), f(
% 0.88/1.31 suc( suc( X ) ) ) ), 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'LE'( f( X ), s(
% 0.88/1.31 '0' ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 55, [ 'E'( s( '0' ), f( X ) ), 'E'( s( s( s( '0' ) ) ), f( suc( X )
% 0.88/1.31 ) ), 'E'( s( s( '0' ) ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 56, [ 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'E'( s( s( s( '0' ) ) )
% 0.88/1.31 , f( suc( suc( X ) ) ) ), 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 57, [ 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'E'( s( s( s( '0' ) ) )
% 0.88/1.31 , f( suc( X ) ) ), 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 58, [ 'E'( s( s( '0' ) ), f( suc( suc( X ) ) ) ), 'E'( s( s( s( '0'
% 0.88/1.31 ) ) ), f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f(
% 0.88/1.31 X ), s( '0' ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 59, [ 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'E'( s( s( s( '0' ) ) )
% 0.88/1.31 , f( suc( X ) ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 60, [ 'E'( s( s( '0' ) ), f( suc( suc( X ) ) ) ), 'E'( s( s( s( '0'
% 0.88/1.31 ) ) ), f( suc( suc( suc( X ) ) ) ) ), 'E'( s( '0' ), f( suc( X ) ) ),
% 0.88/1.31 'LE'( f( X ), s( '0' ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 61, [ 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'E'( s( s( s( '0' ) ) )
% 0.88/1.31 , f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' )
% 0.88/1.31 ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 62, [ 'E'( s( '0' ), f( suc( X ) ) ), 'E'( s( s( '0' ) ), f( suc( X
% 0.88/1.31 ) ) ), 'E'( '0', f( suc( X ) ) ), 'E'( s( s( s( '0' ) ) ), f( suc( X ) )
% 0.88/1.31 ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 63, [ 'E'( s( '0' ), f( X ) ), 'E'( s( s( '0' ) ), f( X ) ), 'E'(
% 0.88/1.31 '0', f( X ) ), 'E'( s( s( s( '0' ) ) ), f( X ) ), 'LE'( f( X ), '0' ) ]
% 0.88/1.31 )
% 0.88/1.31 .
% 0.88/1.31 clause( 64, [ 'E'( s( '0' ), f( suc( X ) ) ), 'E'( s( s( s( '0' ) ) ), f(
% 0.88/1.31 suc( suc( X ) ) ) ), 'E'( '0', f( suc( X ) ) ), 'E'( s( s( '0' ) ), f(
% 0.88/1.31 suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 65, [ 'E'( s( '0' ), f( X ) ), 'E'( s( s( s( '0' ) ) ), f( suc( X )
% 0.88/1.31 ) ), 'E'( '0', f( X ) ), 'E'( s( s( '0' ) ), f( X ) ), 'LE'( f( X ), '0'
% 0.88/1.31 ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 66, [ 'E'( s( s( '0' ) ), f( suc( suc( X ) ) ) ), 'E'( s( s( s( '0'
% 0.88/1.31 ) ) ), f( suc( suc( X ) ) ) ), 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' )
% 0.88/1.31 , f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 67, [ 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'E'( s( s( s( '0' ) ) )
% 0.88/1.31 , f( suc( X ) ) ), 'E'( '0', f( X ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f(
% 0.88/1.31 X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 68, [ 'E'( s( s( '0' ) ), f( suc( suc( X ) ) ) ), 'E'( s( s( s( '0'
% 0.88/1.31 ) ) ), f( suc( suc( suc( X ) ) ) ) ), 'E'( '0', f( suc( X ) ) ), 'E'( s(
% 0.88/1.31 '0' ), f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 69, [ 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'E'( s( s( s( '0' ) ) )
% 0.88/1.31 , f( suc( suc( X ) ) ) ), 'E'( '0', f( X ) ), 'E'( s( '0' ), f( X ) ),
% 0.88/1.31 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 70, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'E'( s( s( '0' ) ), f(
% 0.88/1.31 suc( suc( X ) ) ) ), 'E'( s( s( s( '0' ) ) ), f( suc( suc( X ) ) ) ), 'E'(
% 0.88/1.31 '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 71, [ 'E'( s( '0' ), f( suc( X ) ) ), 'E'( s( s( '0' ) ), f( suc( X
% 0.88/1.31 ) ) ), 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ), 'E'( '0', f( X ) ),
% 0.88/1.31 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 72, [ 'E'( s( '0' ), f( z ) ), 'E'( '0', f( z ) ), 'E'( s( s( '0' )
% 0.88/1.31 ), f( z ) ), 'E'( s( s( s( '0' ) ) ), f( z ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 73, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ), 'E'( s( s( '0' )
% 0.88/1.31 ), f( z ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( z ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 74, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'E'( s( s( s( '0' ) )
% 0.88/1.31 ), f( suc( suc( suc( X ) ) ) ) ), 'E'( s( s( '0' ) ), f( suc( suc( X ) )
% 0.88/1.31 ) ), 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 75, [ 'E'( s( '0' ), f( suc( X ) ) ), 'E'( s( s( s( '0' ) ) ), f(
% 0.88/1.31 suc( suc( X ) ) ) ), 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'E'( '0', f( X
% 0.88/1.31 ) ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 76, [ 'E'( s( '0' ), f( z ) ), 'E'( '0', f( z ) ), 'E'( s( s( '0' )
% 0.88/1.31 ), f( z ) ), 'E'( s( s( s( '0' ) ) ), f( suc( z ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 77, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ), 'E'( s( s( '0' )
% 0.88/1.31 ), f( z ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 78, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ), ~( 'E'( s( s(
% 0.88/1.31 '0' ) ), f( suc( z ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 79, [ 'E'( s( s( '0' ) ), f( suc( suc( suc( X ) ) ) ) ), 'E'( s( s(
% 0.88/1.31 s( '0' ) ) ), f( suc( suc( suc( X ) ) ) ) ), 'E'( s( '0' ), f( suc( suc(
% 0.88/1.31 X ) ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 80, [ 'E'( s( s( '0' ) ), f( suc( suc( X ) ) ) ), 'E'( s( s( s( '0'
% 0.88/1.31 ) ) ), f( suc( suc( X ) ) ) ), 'E'( s( '0' ), f( suc( X ) ) ), 'E'( '0'
% 0.88/1.31 , f( X ) ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 81, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ), 'E'( s( s( s(
% 0.88/1.31 '0' ) ) ), f( suc( z ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 82, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ), ~( 'E'( s( s( s(
% 0.88/1.31 '0' ) ) ), f( suc( suc( z ) ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 84, [ 'E'( s( '0' ), f( suc( z ) ) ), 'E'( s( s( '0' ) ), f( suc( z
% 0.88/1.31 ) ) ), 'E'( '0', f( z ) ), 'E'( s( s( s( '0' ) ) ), f( suc( z ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 85, [ 'E'( s( '0' ), f( suc( z ) ) ), 'E'( '0', f( z ) ), 'E'( s( s(
% 0.88/1.31 '0' ) ), f( suc( z ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( suc( z ) )
% 0.88/1.31 ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 91, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ), 'E'( s( s( s(
% 0.88/1.31 '0' ) ) ), f( suc( suc( z ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 92, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 93, [ 'E'( '0', f( z ) ), ~( 'E'( s( '0' ), f( suc( z ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 94, [ 'E'( s( s( '0' ) ), f( suc( suc( suc( X ) ) ) ) ), 'E'( s( s(
% 0.88/1.31 s( '0' ) ) ), f( suc( suc( suc( suc( X ) ) ) ) ) ), 'E'( s( '0' ), f( suc(
% 0.88/1.31 suc( X ) ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 95, [ 'E'( s( s( '0' ) ), f( suc( suc( X ) ) ) ), 'E'( s( s( s( '0'
% 0.88/1.31 ) ) ), f( suc( suc( suc( X ) ) ) ) ), 'E'( s( '0' ), f( suc( X ) ) ),
% 0.88/1.31 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 96, [ 'E'( s( s( '0' ) ), f( suc( z ) ) ), 'E'( '0', f( z ) ), 'E'(
% 0.88/1.31 s( s( s( '0' ) ) ), f( suc( suc( z ) ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 97, [ 'E'( '0', f( z ) ), 'E'( s( s( '0' ) ), f( suc( z ) ) ) ] )
% 0.88/1.31 .
% 0.88/1.31 clause( 98, [ 'E'( '0', f( z ) ), ~( 'E'( s( s( '0' ) ), f( suc( suc( z ) )
% 0.94/1.31 ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 100, [ 'E'( s( '0' ), f( suc( z ) ) ), 'E'( '0', f( suc( z ) ) ),
% 0.94/1.31 'E'( s( s( '0' ) ), f( suc( z ) ) ), 'E'( s( s( s( '0' ) ) ), f( suc( z )
% 0.94/1.31 ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 101, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ),
% 0.94/1.31 'E'( s( s( '0' ) ), f( suc( z ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc(
% 0.94/1.31 suc( z ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 109, [ 'E'( s( '0' ), f( suc( z ) ) ), 'E'( '0', f( z ) ), 'E'( s(
% 0.94/1.31 s( s( '0' ) ) ), f( suc( suc( z ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 110, [ 'E'( '0', f( z ) ), 'E'( s( s( s( '0' ) ) ), f( suc( suc( z
% 0.94/1.31 ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 111, [ 'E'( '0', f( z ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( suc(
% 0.94/1.31 suc( z ) ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 113, [ 'E'( s( '0' ), f( suc( z ) ) ), 'E'( '0', f( suc( z ) ) ),
% 0.94/1.31 'E'( s( s( '0' ) ), f( suc( z ) ) ), 'E'( s( s( s( '0' ) ) ), f( suc( suc(
% 0.94/1.31 z ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 114, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ),
% 0.94/1.31 'E'( s( s( '0' ) ), f( suc( z ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 115, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ),
% 0.94/1.31 ~( 'E'( s( s( '0' ) ), f( suc( suc( z ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 121, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ),
% 0.94/1.31 'E'( s( s( s( '0' ) ) ), f( suc( suc( z ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 122, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ),
% 0.94/1.31 ~( 'E'( s( s( s( '0' ) ) ), f( suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 124, [ 'E'( s( '0' ), f( suc( z ) ) ), 'E'( '0', f( z ) ), 'E'( s(
% 0.94/1.31 s( s( '0' ) ) ), f( suc( suc( suc( z ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 125, [ 'E'( '0', f( z ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 126, [ ~( 'E'( '0', f( suc( z ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 127, [ 'E'( s( '0' ), f( suc( suc( z ) ) ) ), 'E'( s( s( '0' ) ), f(
% 0.94/1.31 suc( suc( z ) ) ) ), 'E'( s( s( s( '0' ) ) ), f( suc( suc( z ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 128, [ 'E'( s( '0' ), f( suc( suc( z ) ) ) ), 'E'( s( s( '0' ) ), f(
% 0.94/1.31 suc( suc( z ) ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( suc( suc( z ) )
% 0.94/1.31 ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 140, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ),
% 0.94/1.31 'E'( s( s( s( '0' ) ) ), f( suc( suc( suc( z ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 141, [ 'E'( s( '0' ), f( suc( z ) ) ), 'E'( s( s( s( '0' ) ) ), f(
% 0.94/1.31 suc( suc( suc( z ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 143, [ 'E'( s( '0' ), f( suc( z ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 144, [ ~( 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 147, [ 'E'( s( s( '0' ) ), f( suc( suc( z ) ) ) ), 'E'( '0', f( suc(
% 0.94/1.31 z ) ) ), 'E'( s( s( s( '0' ) ) ), f( suc( suc( suc( z ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 148, [ 'E'( s( s( '0' ) ), f( suc( suc( z ) ) ) ), 'E'( s( s( s(
% 0.94/1.31 '0' ) ) ), f( suc( suc( suc( z ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 149, [ 'E'( s( s( '0' ) ), f( suc( suc( z ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 150, [ ~( 'E'( s( s( '0' ) ), f( suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 152, [ 'E'( s( '0' ), f( suc( suc( z ) ) ) ), 'E'( '0', f( suc( z )
% 0.94/1.31 ) ), 'E'( s( s( s( '0' ) ) ), f( suc( suc( suc( z ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 153, [ 'E'( s( s( s( '0' ) ) ), f( suc( suc( suc( z ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 154, [ ~( 'E'( s( s( s( '0' ) ) ), f( suc( suc( suc( suc( z ) ) ) )
% 0.94/1.31 ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 156, [ 'E'( s( '0' ), f( suc( suc( z ) ) ) ), 'E'( '0', f( suc( z )
% 0.94/1.31 ) ), 'E'( s( s( s( '0' ) ) ), f( suc( suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.94/1.31 .
% 0.94/1.31 clause( 157, [] )
% 0.94/1.31 .
% 0.94/1.31
% 0.94/1.31
% 0.94/1.31 % SZS output end Refutation
% 0.94/1.31 found a proof!
% 0.94/1.31
% 0.94/1.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.94/1.31
% 0.94/1.31 initialclauses(
% 0.94/1.31 [ clause( 159, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 0.94/1.31 iLEQ( suc( X ), suc( X ) ) ] )
% 0.94/1.31 , clause( 160, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X
% 0.94/1.31 ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.94/1.31 , clause( 161, [ 'LE'( f( X ), s( s( s( s( '0' ) ) ) ) ) ] )
% 0.94/1.31 , clause( 162, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ),
% 0.94/1.31 f( suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.94/1.31 , clause( 163, [ ~( 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ) ), ~( 'E'( s(
% 0.94/1.31 s( s( '0' ) ) ), f( Y ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( 'E'( s(
% 0.94/1.31 s( s( '0' ) ) ), f( suc( Y ) ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( X ) )
% 0.94/1.31 ), ~( 'E'( s( s( s( '0' ) ) ), f( T ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f(
% 0.94/1.31 Z ) ) ), ~( iLEQ( suc( X ), suc( Z ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f(
% 0.94/1.31 U ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( T ) ) ) ), ~( iLEQ( suc( T )
% 0.94/1.31 , suc( Y ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( Z ) ) ) ), ~( 'E'( s(
% 0.94/1.31 s( s( '0' ) ) ), f( suc( U ) ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ) ] )
% 0.94/1.31 , clause( 164, [ ~( 'LE'( f( suc( X ) ), s( s( s( '0' ) ) ) ) ), 'E'( s( s(
% 0.94/1.31 '0' ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.94/1.31 , clause( 165, [ ~( 'LE'( f( X ), s( s( s( '0' ) ) ) ) ), 'E'( s( s( '0' )
% 0.94/1.31 ), f( X ) ), 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.94/1.31 , clause( 166, [ ~( 'LE'( f( suc( X ) ), s( s( s( s( '0' ) ) ) ) ) ), 'E'(
% 0.94/1.31 s( s( s( '0' ) ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s( s( '0' ) ) ) ) ]
% 0.94/1.31 )
% 0.94/1.31 , clause( 167, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.94/1.31 , clause( 168, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X
% 0.94/1.31 ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.94/1.31 , clause( 169, [ ~( 'E'( s( s( '0' ) ), f( suc( X ) ) ) ), ~( 'E'( s( s(
% 0.94/1.31 '0' ) ), f( Y ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( 'E'( s( s( '0' )
% 0.94/1.31 ), f( T ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( U ) ) ) ), ~( iLEQ( suc( X
% 0.94/1.31 ), suc( Y ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( Z ) ) ) ), ~( 'E'( s( s(
% 0.94/1.31 '0' ) ), f( U ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( T ) ) ) ), ~( 'E'( s(
% 0.94/1.31 s( '0' ) ), f( suc( Y ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( s(
% 0.94/1.31 s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f( Z ) ) ), ~( iLEQ( suc(
% 0.94/1.31 Y ), suc( U ) ) ) ] )
% 0.94/1.31 , clause( 170, [ ~( 'LE'( f( X ), s( s( s( s( '0' ) ) ) ) ) ), 'E'( s( s( s(
% 0.94/1.31 '0' ) ) ), f( X ) ), 'LE'( f( X ), s( s( s( '0' ) ) ) ) ] )
% 0.94/1.31 , clause( 171, [ ~( 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'( s( s( s(
% 0.94/1.31 '0' ) ) ), f( suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.94/1.31 , clause( 172, [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ),
% 0.94/1.31 f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.94/1.31 , clause( 173, [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X )
% 0.94/1.31 ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.94/1.31 , clause( 174, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 0.94/1.31 ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 0.94/1.31 '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( T ) ) ) )
% 0.94/1.31 , ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( Y ), suc( T ) ) ), ~( iLEQ( suc(
% 0.94/1.31 X ), suc( Y ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ), ~( 'E'( '0', f( suc(
% 0.94/1.31 U ) ) ) ), ~( iLEQ( suc( T ), suc( Z ) ) ), ~( 'E'( '0', f( U ) ) ) ] )
% 0.94/1.31 , clause( 175, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f(
% 0.94/1.31 X ), '0' ) ] )
% 0.94/1.31 , clause( 176, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.94/1.31 Y ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z
% 0.94/1.31 ) ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) ), ~( 'E'( s( '0' ), f( X ) )
% 0.94/1.31 ), ~( 'E'( s( '0' ), f( Z ) ) ), ~( iLEQ( suc( T ), suc( Z ) ) ), ~( 'E'(
% 0.94/1.31 s( '0' ), f( U ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ),
% 0.94/1.31 f( T ) ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( iLEQ( suc( U ), suc(
% 0.94/1.31 X ) ) ), ~( iLEQ( suc( Z ), suc( U ) ) ) ] )
% 0.94/1.31 ] ).
% 0.94/1.31
% 0.94/1.31
% 0.94/1.31
% 0.94/1.31 subsumption(
% 0.94/1.31 clause( 0, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), iLEQ(
% 0.94/1.31 suc( X ), suc( X ) ) ] )
% 0.94/1.31 , clause( 159, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 2.83/3.21 iLEQ( suc( X ), suc( X ) ) ] )
% 2.83/3.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.83/3.21 1 ), ==>( 2, 2 )] ) ).
% 2.83/3.21
% 2.83/3.21
% 2.83/3.21 subsumption(
% 2.83/3.21 clause( 1, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 2.83/3.21 ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 2.83/3.21 , clause( 160, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X
% 2.83/3.21 ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 2.83/3.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.83/3.21 1 ), ==>( 2, 2 )] ) ).
% 2.83/3.21
% 2.83/3.21
% 2.83/3.21 subsumption(
% 2.83/3.21 clause( 2, [ 'LE'( f( X ), s( s( s( s( '0' ) ) ) ) ) ] )
% 2.83/3.21 , clause( 161, [ 'LE'( f( X ), s( s( s( s( '0' ) ) ) ) ) ] )
% 2.83/3.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.83/3.21
% 2.83/3.21
% 2.83/3.21 subsumption(
% 2.83/3.21 clause( 3, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 2.83/3.21 suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 2.83/3.21 , clause( 162, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ),
% 2.83/3.21 f( suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 2.83/3.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.83/3.21 1 ), ==>( 2, 2 )] ) ).
% 2.83/3.21
% 2.83/3.21
% 2.83/3.21 subsumption(
% 2.83/3.21 clause( 4, [ ~( 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ) ), ~( 'E'( s( s( s(
% 2.83/3.21 '0' ) ) ), f( Y ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( Y ) ) ) ), ~(
% 2.83/3.21 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( T ) )
% 2.83/3.21 ), ~( 'E'( s( s( s( '0' ) ) ), f( Z ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f(
% 2.83/3.21 U ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( T ) ) ) ), ~( 'E'( s( s( s(
% 2.83/3.21 '0' ) ) ), f( suc( Z ) ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( U ) ) )
% 2.83/3.21 ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( iLEQ( suc( X ), suc( Z ) ) ), ~(
% 2.83/3.21 iLEQ( suc( U ), suc( X ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ) ] )
% 2.83/3.21 , clause( 163, [ ~( 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ) ), ~( 'E'( s(
% 2.83/3.21 s( s( '0' ) ) ), f( Y ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( 'E'( s(
% 2.83/3.21 s( s( '0' ) ) ), f( suc( Y ) ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( X ) )
% 2.83/3.21 ), ~( 'E'( s( s( s( '0' ) ) ), f( T ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f(
% 2.83/3.21 Z ) ) ), ~( iLEQ( suc( X ), suc( Z ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f(
% 2.83/3.21 U ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( T ) ) ) ), ~( iLEQ( suc( T )
% 2.83/3.21 , suc( Y ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( Z ) ) ) ), ~( 'E'( s(
% 2.83/3.21 s( s( '0' ) ) ), f( suc( U ) ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ) ] )
% 2.83/3.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 2.83/3.21 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 10 ), ==>(
% 2.83/3.21 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ), ==>( 6, 5 ), ==>( 7, 11 ), ==>( 8, 6 )
% 2.83/3.21 , ==>( 9, 7 ), ==>( 10, 13 ), ==>( 11, 8 ), ==>( 12, 9 ), ==>( 13, 12 )] )
% 2.83/3.21 ).
% 2.83/3.21
% 2.83/3.21
% 2.83/3.21 subsumption(
% 2.83/3.21 clause( 5, [ 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s( '0' )
% 2.83/3.21 ) ), ~( 'LE'( f( suc( X ) ), s( s( s( '0' ) ) ) ) ) ] )
% 2.83/3.21 , clause( 164, [ ~( 'LE'( f( suc( X ) ), s( s( s( '0' ) ) ) ) ), 'E'( s( s(
% 2.83/3.21 '0' ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 2.83/3.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 2.83/3.21 0 ), ==>( 2, 1 )] ) ).
% 2.83/3.21
% 2.83/3.21
% 2.83/3.21 subsumption(
% 2.83/3.21 clause( 6, [ 'E'( s( s( '0' ) ), f( X ) ), 'LE'( f( X ), s( s( '0' ) ) ),
% 2.83/3.21 ~( 'LE'( f( X ), s( s( s( '0' ) ) ) ) ) ] )
% 2.83/3.21 , clause( 165, [ ~( 'LE'( f( X ), s( s( s( '0' ) ) ) ) ), 'E'( s( s( '0' )
% 2.83/3.21 ), f( X ) ), 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 2.83/3.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 2.83/3.21 0 ), ==>( 2, 1 )] ) ).
% 2.83/3.21
% 2.83/3.21
% 2.83/3.21 resolution(
% 2.83/3.21 clause( 5709, [ 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ), 'LE'( f( X ), s(
% 2.83/3.21 s( s( '0' ) ) ) ) ] )
% 2.83/3.21 , clause( 166, [ ~( 'LE'( f( suc( X ) ), s( s( s( s( '0' ) ) ) ) ) ), 'E'(
% 2.83/3.21 s( s( s( '0' ) ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s( s( '0' ) ) ) ) ]
% 2.83/3.21 )
% 2.83/3.21 , 0, clause( 2, [ 'LE'( f( X ), s( s( s( s( '0' ) ) ) ) ) ] )
% 2.83/3.21 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( X ) )] )
% 2.83/3.21 ).
% 2.83/3.21
% 2.83/3.21
% 2.83/3.21 subsumption(
% 2.83/3.21 clause( 7, [ 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s(
% 2.83/3.21 s( '0' ) ) ) ) ] )
% 2.83/3.21 , clause( 5709, [ 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ), 'LE'( f( X ), s(
% 2.83/3.21 s( s( '0' ) ) ) ) ] )
% 2.83/3.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.83/3.21 1 )] ) ).
% 2.83/3.21
% 2.83/3.21
% 2.83/3.21 subsumption(
% 7.87/8.27 clause( 8, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 7.87/8.27 , clause( 167, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 7.87/8.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.87/8.27
% 7.87/8.27
% 7.87/8.27 subsumption(
% 7.87/8.27 clause( 9, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 7.87/8.27 suc( X ) ), s( '0' ) ) ) ] )
% 7.87/8.27 , clause( 168, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X
% 7.87/8.27 ) ) ), 'LE'( f( X ), '0' ) ] )
% 7.87/8.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 7.87/8.27 0 ), ==>( 2, 1 )] ) ).
% 7.87/8.27
% 7.87/8.27
% 7.87/8.27 subsumption(
% 7.87/8.27 clause( 10, [ ~( 'E'( s( s( '0' ) ), f( suc( X ) ) ) ), ~( 'E'( s( s( '0' )
% 7.87/8.27 ), f( Y ) ) ), ~( 'E'( s( s( '0' ) ), f( T ) ) ), ~( 'E'( s( s( '0' ) )
% 7.87/8.27 , f( suc( U ) ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( Z ) ) ) ), ~( 'E'( s(
% 7.87/8.27 s( '0' ) ), f( U ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( T ) ) ) ), ~( 'E'(
% 7.87/8.27 s( s( '0' ) ), f( suc( Y ) ) ) ), ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~(
% 7.87/8.27 'E'( s( s( '0' ) ), f( Z ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( iLEQ(
% 7.87/8.27 suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( U ) ) ), ~( iLEQ( suc( T
% 7.87/8.27 ), suc( X ) ) ) ] )
% 7.87/8.27 , clause( 169, [ ~( 'E'( s( s( '0' ) ), f( suc( X ) ) ) ), ~( 'E'( s( s(
% 7.87/8.27 '0' ) ), f( Y ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( 'E'( s( s( '0' )
% 7.87/8.27 ), f( T ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( U ) ) ) ), ~( iLEQ( suc( X
% 7.87/8.27 ), suc( Y ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( Z ) ) ) ), ~( 'E'( s( s(
% 7.87/8.27 '0' ) ), f( U ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( T ) ) ) ), ~( 'E'( s(
% 7.87/8.27 s( '0' ) ), f( suc( Y ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( s(
% 7.87/8.27 s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f( Z ) ) ), ~( iLEQ( suc(
% 7.87/8.27 Y ), suc( U ) ) ) ] )
% 7.87/8.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 7.87/8.27 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 10 ), ==>(
% 7.87/8.27 3, 2 ), ==>( 4, 3 ), ==>( 5, 11 ), ==>( 6, 4 ), ==>( 7, 5 ), ==>( 8, 6 )
% 7.87/8.27 , ==>( 9, 7 ), ==>( 10, 13 ), ==>( 11, 8 ), ==>( 12, 9 ), ==>( 13, 12 )] )
% 7.87/8.27 ).
% 7.87/8.27
% 7.87/8.27
% 7.87/8.27 resolution(
% 7.87/8.27 clause( 14241, [ 'E'( s( s( s( '0' ) ) ), f( X ) ), 'LE'( f( X ), s( s( s(
% 7.87/8.27 '0' ) ) ) ) ] )
% 7.87/8.27 , clause( 170, [ ~( 'LE'( f( X ), s( s( s( s( '0' ) ) ) ) ) ), 'E'( s( s( s(
% 7.87/8.27 '0' ) ) ), f( X ) ), 'LE'( f( X ), s( s( s( '0' ) ) ) ) ] )
% 7.87/8.27 , 0, clause( 2, [ 'LE'( f( X ), s( s( s( s( '0' ) ) ) ) ) ] )
% 7.87/8.27 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 7.87/8.27 ).
% 7.87/8.27
% 7.87/8.27
% 7.87/8.27 subsumption(
% 7.87/8.27 clause( 11, [ 'E'( s( s( s( '0' ) ) ), f( X ) ), 'LE'( f( X ), s( s( s( '0'
% 7.87/8.27 ) ) ) ) ] )
% 7.87/8.27 , clause( 14241, [ 'E'( s( s( s( '0' ) ) ), f( X ) ), 'LE'( f( X ), s( s( s(
% 7.87/8.27 '0' ) ) ) ) ] )
% 7.87/8.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.87/8.27 1 )] ) ).
% 7.87/8.27
% 7.87/8.27
% 7.87/8.27 subsumption(
% 7.87/8.27 clause( 12, [ ~( 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'( s( s( s( '0'
% 7.87/8.27 ) ) ), f( suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 7.87/8.27 , clause( 171, [ ~( 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'( s( s( s(
% 7.87/8.27 '0' ) ) ), f( suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 7.87/8.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.87/8.27 1 ), ==>( 2, 2 )] ) ).
% 7.87/8.27
% 7.87/8.27
% 7.87/8.27 subsumption(
% 7.87/8.27 clause( 13, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ), ~(
% 7.87/8.27 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ) ] )
% 7.87/8.27 , clause( 172, [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ),
% 7.87/8.27 f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 7.87/8.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 7.87/8.27 0 ), ==>( 2, 1 )] ) ).
% 7.87/8.27
% 7.87/8.27
% 7.87/8.27 subsumption(
% 7.87/8.27 clause( 14, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ), ~( 'LE'( f(
% 7.87/8.27 X ), s( s( '0' ) ) ) ) ] )
% 7.87/8.27 , clause( 173, [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X )
% 7.87/8.27 ), 'LE'( f( X ), s( '0' ) ) ] )
% 7.87/8.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 7.87/8.27 0 ), ==>( 2, 1 )] ) ).
% 7.87/8.27
% 7.87/8.27
% 7.87/8.27 subsumption(
% 7.87/8.27 clause( 15, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) ) )
% 7.87/8.27 ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0'
% 7.87/8.27 , f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 7.87/8.27 ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( '0', f(
% 7.87/8.27 U ) ) ), ~( iLEQ( suc( Y ), suc( T ) ) ), ~( iLEQ( suc( T ), suc( Z ) ) )
% 7.87/8.27 , ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ) ] )
% 12.24/12.70 , clause( 174, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( Y ) )
% 12.24/12.70 ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'(
% 12.24/12.70 '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( T ) ) ) )
% 12.24/12.70 , ~( 'E'( '0', f( Z ) ) ), ~( iLEQ( suc( Y ), suc( T ) ) ), ~( iLEQ( suc(
% 12.24/12.70 X ), suc( Y ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ), ~( 'E'( '0', f( suc(
% 12.24/12.70 U ) ) ) ), ~( iLEQ( suc( T ), suc( Z ) ) ), ~( 'E'( '0', f( U ) ) ) ] )
% 12.24/12.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 12.24/12.70 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 12.24/12.70 , 3 ), ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 10 ),
% 12.24/12.70 ==>( 9, 12 ), ==>( 10, 13 ), ==>( 11, 8 ), ==>( 12, 11 ), ==>( 13, 9 )] )
% 12.24/12.70 ).
% 12.24/12.70
% 12.24/12.70
% 12.24/12.70 subsumption(
% 12.24/12.70 clause( 16, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 12.24/12.70 '0' ) ) ) ] )
% 12.24/12.70 , clause( 175, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f(
% 12.24/12.70 X ), '0' ) ] )
% 12.24/12.70 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 12.24/12.70 0 ), ==>( 2, 1 )] ) ).
% 12.24/12.70
% 12.24/12.70
% 12.24/12.70 subsumption(
% 12.24/12.70 clause( 17, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( Y )
% 12.24/12.70 ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z )
% 12.24/12.70 ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) )
% 12.24/12.70 , ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' ), f( U ) ) ), ~( 'E'( s(
% 12.24/12.70 '0' ), f( T ) ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( iLEQ( suc( X )
% 12.24/12.70 , suc( Y ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ), ~( iLEQ( suc( Z ), suc(
% 12.24/12.70 U ) ) ), ~( iLEQ( suc( T ), suc( Z ) ) ) ] )
% 12.24/12.70 , clause( 176, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 12.24/12.70 Y ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z
% 12.24/12.70 ) ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) ), ~( 'E'( s( '0' ), f( X ) )
% 12.24/12.70 ), ~( 'E'( s( '0' ), f( Z ) ) ), ~( iLEQ( suc( T ), suc( Z ) ) ), ~( 'E'(
% 12.24/12.70 s( '0' ), f( U ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( s( '0' ),
% 12.24/12.70 f( T ) ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( iLEQ( suc( U ), suc(
% 12.24/12.70 X ) ) ), ~( iLEQ( suc( Z ), suc( U ) ) ) ] )
% 12.24/12.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 12.24/12.70 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 12.24/12.70 , 3 ), ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 13 ), ==>( 8, 7 ),
% 12.24/12.70 ==>( 9, 10 ), ==>( 10, 8 ), ==>( 11, 9 ), ==>( 12, 11 ), ==>( 13, 12 )] )
% 12.24/12.70 ).
% 12.24/12.70
% 12.24/12.70
% 12.24/12.70
% 12.24/12.70 ==> clause( 23, [ ~( 'E'( s( s( s( '0' ) ) ), f( suc( X ) ) ) ), ~( 'E'( s(
% 12.24/12.70 s( s( '0' ) ) ), f( Y ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( Y ) ) )
% 12.24/12.70 ), ~( 'E'( s( s( s( '0' ) ) ), f( X ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f(
% 12.24/12.70 Z ) ) ), ~( 'E'( s( s( s( '0' ) ) ), f( suc( Z ) ) ) ), ~( iLEQ( suc( X )
% 12.24/12.70 , suc( Y ) ) ), ~( iLEQ( suc( Z ), suc( X ) ) ) ] )
% 12.24/12.70
% 12.24/12.70
% 12.24/12.70
% 12.24/12.70 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 12.24/12.70
% 12.24/12.70 Bliksem ended
%------------------------------------------------------------------------------