%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO674-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 14:29:18 EDT 2022
% Result : Unsatisfiable 0.73s 1.25s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO674-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Sat Jul 9 05:48:51 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.73/1.25 *** allocated 10000 integers for termspace/termends
% 0.73/1.25 *** allocated 10000 integers for clauses
% 0.73/1.25 *** allocated 10000 integers for justifications
% 0.73/1.25 Bliksem 1.12
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 Automatic Strategy Selection
% 0.73/1.25
% 0.73/1.25 Clauses:
% 0.73/1.25 [
% 0.73/1.25 [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) )
% 0.73/1.25 ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( 'E'( s( '0' ), f( U ) ) ), ~( 'E'(
% 0.73/1.25 s( '0' ), f( suc( W ) ) ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( 'E'(
% 0.73/1.25 s( '0' ), f( Y ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.25 T ) ) ), ~( iLEQ( suc( W ), suc( U ) ) ), ~( iLEQ( suc( U ), suc( Z ) ) )
% 0.73/1.25 , ~( 'E'( s( '0' ), f( suc( T ) ) ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~(
% 0.73/1.25 'E'( s( '0' ), f( suc( Z ) ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( 'E'(
% 0.73/1.25 s( '0' ), f( W ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ) ],
% 0.73/1.25 [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f(
% 0.73/1.25 X ), s( '0' ) ) ],
% 0.73/1.25 [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), iLEQ( suc( X
% 0.73/1.25 ), suc( X ) ) ],
% 0.73/1.25 [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f( X ), '0' )
% 0.73/1.25 ],
% 0.73/1.25 [ ~( 'LE'( f( X ), s( s( s( '0' ) ) ) ) ), 'E'( s( s( '0' ) ), f( X ) )
% 0.73/1.25 , 'LE'( f( X ), s( s( '0' ) ) ) ],
% 0.73/1.25 [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( X )
% 0.73/1.25 ) ) ), iLEQ( suc( X ), suc( X ) ) ],
% 0.73/1.25 [ 'LE'( f( X ), s( s( s( '0' ) ) ) ) ],
% 0.73/1.25 [ ~( 'LE'( f( z ), '0' ) ) ],
% 0.73/1.25 [ ~( 'LE'( f( suc( X ) ), s( s( s( '0' ) ) ) ) ), 'E'( s( s( '0' ) ), f(
% 0.73/1.25 suc( X ) ) ), 'LE'( f( X ), s( s( '0' ) ) ) ],
% 0.73/1.25 [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( Y )
% 0.73/1.25 ) ) ), ~( 'E'( s( s( '0' ) ), f( Z ) ) ), ~( iLEQ( suc( T ), suc( U ) )
% 0.73/1.25 ), ~( 'E'( s( s( '0' ) ), f( suc( X ) ) ) ), ~( 'E'( s( s( '0' ) ), f( W
% 0.73/1.25 ) ) ), ~( 'E'( s( s( '0' ) ), f( Y ) ) ), ~( iLEQ( suc( Z ), suc( T ) )
% 0.73/1.25 ), ~( 'E'( s( s( '0' ) ), f( suc( U ) ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 0.73/1.25 suc( T ) ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( W ) ) ) ), ~( 'E'( s( s(
% 0.73/1.25 '0' ) ), f( T ) ) ), ~( iLEQ( suc( U ), suc( W ) ) ), ~( 'E'( s( s( '0' )
% 0.73/1.25 ), f( U ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( Z ) ) ) ), ~( iLEQ( suc( W
% 0.73/1.25 ), suc( Y ) ) ), ~( iLEQ( suc( X ), suc( Z ) ) ) ],
% 0.73/1.25 [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'(
% 0.73/1.25 f( X ), '0' ) ],
% 0.73/1.25 [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( suc( X )
% 0.73/1.25 ) ), 'LE'( f( X ), s( '0' ) ) ],
% 0.73/1.25 [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ),
% 0.73/1.25 iLEQ( suc( X ), suc( X ) ) ],
% 0.73/1.25 [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 0.73/1.25 , f( suc( Z ) ) ) ), ~( iLEQ( suc( T ), suc( U ) ) ), ~( 'E'( '0', f( W )
% 0.73/1.25 ) ), ~( iLEQ( suc( U ), suc( Z ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 0.73/1.25 '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( iLEQ( suc( Y ), suc(
% 0.73/1.25 T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ),
% 0.73/1.25 ~( iLEQ( suc( Z ), suc( W ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'(
% 0.73/1.25 '0', f( suc( W ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( Z ) ) )
% 0.73/1.25 ]
% 0.73/1.25 ] .
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 percentage equality = 0.000000, percentage horn = 0.571429
% 0.73/1.25 This a non-horn, non-equality problem
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 Options Used:
% 0.73/1.25
% 0.73/1.25 useres = 1
% 0.73/1.25 useparamod = 0
% 0.73/1.25 useeqrefl = 0
% 0.73/1.25 useeqfact = 0
% 0.73/1.25 usefactor = 1
% 0.73/1.25 usesimpsplitting = 0
% 0.73/1.25 usesimpdemod = 0
% 0.73/1.25 usesimpres = 3
% 0.73/1.25
% 0.73/1.25 resimpinuse = 1000
% 0.73/1.25 resimpclauses = 20000
% 0.73/1.25 substype = standard
% 0.73/1.25 backwardsubs = 1
% 0.73/1.25 selectoldest = 5
% 0.73/1.25
% 0.73/1.25 litorderings [0] = split
% 0.73/1.25 litorderings [1] = liftord
% 0.73/1.25
% 0.73/1.25 termordering = none
% 0.73/1.25
% 0.73/1.25 litapriori = 1
% 0.73/1.25 termapriori = 0
% 0.73/1.25 litaposteriori = 0
% 0.73/1.25 termaposteriori = 0
% 0.73/1.25 demodaposteriori = 0
% 0.73/1.25 ordereqreflfact = 0
% 0.73/1.25
% 0.73/1.25 litselect = none
% 0.73/1.25
% 0.73/1.25 maxweight = 15
% 0.73/1.25 maxdepth = 30000
% 0.73/1.25 maxlength = 115
% 0.73/1.25 maxnrvars = 195
% 0.73/1.25 excuselevel = 1
% 0.73/1.25 increasemaxweight = 1
% 0.73/1.25
% 0.73/1.25 maxselected = 10000000
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25
% 0.73/1.25 showgenerated = 0
% 0.73/1.25 showkept = 0
% 0.73/1.25 showselected = 0
% 0.73/1.25 showdeleted = 0
% 0.73/1.25 showresimp = 1
% 0.73/1.25 showstatus = 2000
% 0.73/1.25
% 0.73/1.25 prologoutput = 1
% 0.73/1.25 nrgoals = 5000000
% 0.73/1.25 totalproof = 1
% 0.73/1.25
% 0.73/1.25 Symbols occurring in the translation:
% 0.73/1.25
% 0.73/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.25 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 0.73/1.25 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 0.73/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.25 '0' [39, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.73/1.25 s [40, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.73/1.25 suc [42, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.73/1.25 f [43, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.73/1.25 'E' [44, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.73/1.25 iLEQ [48, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.73/1.25 'LE' [52, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.73/1.25 z [58, 0] (w:1, o:27, a:1, s:1, b:0).
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 15
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 756
% 0.73/1.25 Kept: 27
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 16
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 16
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 758
% 0.73/1.25 Kept: 28
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 17
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 17
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 760
% 0.73/1.25 Kept: 29
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 18
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 18
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 762
% 0.73/1.25 Kept: 30
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 19
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 19
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 765
% 0.73/1.25 Kept: 33
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 20
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 20
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 766
% 0.73/1.25 Kept: 35
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 21
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 21
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 767
% 0.73/1.25 Kept: 37
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 22
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 22
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 769
% 0.73/1.25 Kept: 41
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 23
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 23
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 759
% 0.73/1.25 Kept: 45
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 24
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 24
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 760
% 0.73/1.25 Kept: 47
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 25
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 25
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 761
% 0.73/1.25 Kept: 49
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 26
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 26
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 761
% 0.73/1.25 Kept: 49
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 27
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 27
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 756
% 0.73/1.25 Kept: 51
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 28
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 28
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 761
% 0.73/1.25 Kept: 52
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 29
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 29
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 761
% 0.73/1.25 Kept: 52
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 30
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25 Resimplifying inuse:
% 0.73/1.25 Done
% 0.73/1.25
% 0.73/1.25 Failed to find proof!
% 0.73/1.25 maxweight = 30
% 0.73/1.25 maxnrclauses = 10000000
% 0.73/1.25 Generated: 761
% 0.73/1.25 Kept: 52
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 The strategy used was not complete!
% 0.73/1.25
% 0.73/1.25 Increased maxweight to 31
% 0.73/1.25
% 0.73/1.25 Starting Search:
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 Bliksems!, er is een bewijs:
% 0.73/1.25 % SZS status Unsatisfiable
% 0.73/1.25 % SZS output start Refutation
% 0.73/1.25
% 0.73/1.25 clause( 0, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.25 Y ) ) ) ), ~( 'E'( s( '0' ), f( U ) ) ), ~( 'E'( s( '0' ), f( suc( W ) )
% 0.73/1.25 ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ),
% 0.73/1.25 ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( T ) ) ), ~( 'E'( s(
% 0.73/1.25 '0' ), f( suc( T ) ) ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' )
% 0.73/1.25 , f( suc( Z ) ) ) ), ~( 'E'( s( '0' ), f( W ) ) ), ~( iLEQ( suc( U ), suc(
% 0.73/1.25 Z ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 0.73/1.25 , ~( iLEQ( suc( T ), suc( Y ) ) ), ~( iLEQ( suc( W ), suc( U ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 1, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ), ~( 'LE'( f(
% 0.73/1.25 X ), s( s( '0' ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 2, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), iLEQ(
% 0.73/1.25 suc( X ), suc( X ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 3, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 0.73/1.25 '0' ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 4, [ 'E'( s( s( '0' ) ), f( X ) ), 'LE'( f( X ), s( s( '0' ) ) ),
% 0.73/1.25 ~( 'LE'( f( X ), s( s( s( '0' ) ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 5, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 0.73/1.25 suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 6, [ 'LE'( f( X ), s( s( s( '0' ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 7, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 8, [ 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s( '0' )
% 0.73/1.25 ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 9, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 0.73/1.25 suc( Y ) ) ) ), ~( 'E'( s( s( '0' ) ), f( Z ) ) ), ~( 'E'( s( s( '0' ) )
% 0.73/1.25 , f( suc( X ) ) ) ), ~( 'E'( s( s( '0' ) ), f( W ) ) ), ~( 'E'( s( s( '0'
% 0.73/1.25 ) ), f( Y ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( U ) ) ) ), ~( 'E'( s( s(
% 0.73/1.25 '0' ) ), f( suc( T ) ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( W ) ) ) ), ~(
% 0.73/1.25 'E'( s( s( '0' ) ), f( T ) ) ), ~( 'E'( s( s( '0' ) ), f( U ) ) ), ~( 'E'(
% 0.73/1.25 s( s( '0' ) ), f( suc( Z ) ) ) ), ~( iLEQ( suc( T ), suc( U ) ) ), ~(
% 0.73/1.25 iLEQ( suc( Z ), suc( T ) ) ), ~( iLEQ( suc( W ), suc( Y ) ) ), ~( iLEQ(
% 0.73/1.25 suc( X ), suc( Z ) ) ), ~( iLEQ( suc( U ), suc( W ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 10, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 0.73/1.25 suc( X ) ), s( '0' ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 11, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ), ~(
% 0.73/1.25 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 12, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.73/1.25 ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 13, [ ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 0.73/1.25 'E'( '0', f( W ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( T ) ) ),
% 0.73/1.25 ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'(
% 0.73/1.25 '0', f( suc( U ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f(
% 0.73/1.25 suc( W ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( iLEQ(
% 0.73/1.25 suc( U ), suc( Z ) ) ), ~( iLEQ( suc( Y ), suc( T ) ) ), ~( iLEQ( suc( T
% 0.73/1.25 ), suc( U ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Z ), suc(
% 0.73/1.25 W ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 16, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.25 Y ) ) ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' ), f( suc( T ) )
% 0.73/1.25 ) ), ~( 'E'( s( '0' ), f( suc( Z ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ),
% 0.73/1.25 ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( T ) ) ), ~( iLEQ( suc(
% 0.73/1.25 Z ), suc( Y ) ) ), ~( iLEQ( suc( T ), suc( Z ) ) ), ~( iLEQ( suc( Y ),
% 0.73/1.25 suc( X ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 17, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.73/1.25 Y ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s( '0' ), f( X ) ) ),
% 0.73/1.25 ~( iLEQ( suc( Y ), suc( X ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 18, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.73/1.25 ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 21, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 0.73/1.25 suc( Y ) ) ) ), ~( 'E'( s( s( '0' ) ), f( Z ) ) ), ~( 'E'( s( s( '0' ) )
% 0.73/1.25 , f( suc( X ) ) ) ), ~( 'E'( s( s( '0' ) ), f( T ) ) ), ~( 'E'( s( s( '0'
% 0.73/1.25 ) ), f( Y ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( Z ) ) ) ), ~( 'E'( s( s(
% 0.73/1.25 '0' ) ), f( suc( T ) ) ) ), ~( iLEQ( suc( X ), suc( Z ) ) ), ~( iLEQ( suc(
% 0.73/1.25 Z ), suc( T ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 22, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 0.73/1.25 suc( Y ) ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( X ) ) ) ), ~( 'E'( s( s(
% 0.73/1.25 '0' ) ), f( Y ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 24, [ ~( 'E'( s( s( '0' ) ), f( suc( X ) ) ) ), ~( 'E'( s( s( '0' )
% 0.73/1.25 ), f( X ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 30, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~(
% 0.73/1.25 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( Y ) ) ),
% 0.73/1.25 ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'(
% 0.73/1.25 '0', f( suc( Z ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( iLEQ( suc( Y
% 0.73/1.25 ), suc( Z ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 32, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~(
% 0.73/1.25 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( iLEQ( suc( X ),
% 0.73/1.25 suc( Y ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 33, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 34, [ 'E'( s( '0' ), f( X ) ), 'E'( s( s( '0' ) ), f( suc( X ) ) )
% 0.73/1.25 , 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 35, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( s( '0' ) ), f( suc( suc( X
% 0.73/1.25 ) ) ) ), 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 36, [ 'E'( '0', f( X ) ), 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'E'(
% 0.73/1.25 s( '0' ), f( X ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 37, [ 'E'( s( '0' ), f( suc( X ) ) ), 'E'( s( s( '0' ) ), f( suc(
% 0.73/1.25 suc( X ) ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 38, [ 'E'( s( s( '0' ) ), f( X ) ), 'LE'( f( X ), s( s( '0' ) ) ) ]
% 0.73/1.25 )
% 0.73/1.25 .
% 0.73/1.25 clause( 39, [ 'E'( s( '0' ), f( suc( X ) ) ), 'E'( s( s( '0' ) ), f( suc( X
% 0.73/1.25 ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 40, [ 'E'( s( '0' ), f( X ) ), 'E'( s( s( '0' ) ), f( X ) ), 'LE'(
% 0.73/1.25 f( X ), s( '0' ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 41, [ 'E'( s( '0' ), f( suc( X ) ) ), 'E'( '0', f( suc( X ) ) ),
% 0.73/1.25 'E'( s( s( '0' ) ), f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 42, [ 'E'( s( '0' ), f( X ) ), 'E'( '0', f( X ) ), 'E'( s( s( '0' )
% 0.73/1.25 ), f( X ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 43, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'E'( s( s( '0' ) ), f(
% 0.73/1.25 suc( suc( X ) ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 44, [ 'E'( s( '0' ), f( suc( X ) ) ), 'E'( s( s( '0' ) ), f( suc( X
% 0.73/1.25 ) ) ), 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 45, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ), 'E'( s( s( '0' )
% 0.73/1.25 ), f( z ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 46, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ), ~( 'E'( s( s(
% 0.73/1.25 '0' ) ), f( suc( z ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 47, [ 'E'( s( '0' ), f( suc( suc( X ) ) ) ), 'E'( s( s( '0' ) ), f(
% 0.73/1.25 suc( suc( suc( X ) ) ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0'
% 0.73/1.25 ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 48, [ 'E'( s( '0' ), f( suc( X ) ) ), 'E'( s( s( '0' ) ), f( suc(
% 0.73/1.25 suc( X ) ) ) ), 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 49, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 50, [ 'E'( '0', f( z ) ), ~( 'E'( s( '0' ), f( suc( z ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 51, [ 'E'( '0', f( z ) ), 'E'( s( s( '0' ) ), f( suc( z ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 53, [ 'E'( '0', f( z ) ), ~( 'E'( s( s( '0' ) ), f( suc( suc( z ) )
% 0.73/1.25 ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 54, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ),
% 0.73/1.25 'E'( s( s( '0' ) ), f( suc( z ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 56, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( '0' ), f( suc( z ) ) ),
% 0.73/1.25 ~( 'E'( s( s( '0' ) ), f( suc( suc( z ) ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 60, [ 'E'( '0', f( z ) ), 'E'( s( s( '0' ) ), f( suc( suc( z ) ) )
% 0.73/1.25 ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 61, [ 'E'( '0', f( z ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 62, [ ~( 'E'( '0', f( suc( z ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 63, [ 'E'( s( '0' ), f( suc( z ) ) ), 'E'( s( s( '0' ) ), f( suc(
% 0.73/1.25 suc( z ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 64, [ 'E'( s( '0' ), f( suc( z ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 65, [ ~( 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 67, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( s( '0' ) ), f( suc( suc( z
% 0.73/1.25 ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 68, [ 'E'( s( s( '0' ) ), f( suc( suc( z ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 70, [ ~( 'E'( s( s( '0' ) ), f( suc( suc( suc( z ) ) ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 71, [ 'E'( '0', f( suc( z ) ) ), 'E'( s( s( '0' ) ), f( suc( suc(
% 0.73/1.25 suc( z ) ) ) ) ) ] )
% 0.73/1.25 .
% 0.73/1.25 clause( 72, [] )
% 0.73/1.25 .
% 0.73/1.25
% 0.73/1.25
% 0.73/1.25 % SZS output end Refutation
% 0.73/1.25 found a proof!
% 0.73/1.25
% 0.73/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.25
% 0.73/1.25 initialclauses(
% 0.73/1.25 [ clause( 74, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 0.73/1.25 suc( Y ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( 'E'( s( '0' ), f( U )
% 0.73/1.25 ) ), ~( 'E'( s( '0' ), f( suc( W ) ) ) ), ~( 'E'( s( '0' ), f( suc( U )
% 27.50/27.92 ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~(
% 27.50/27.92 'E'( s( '0' ), f( T ) ) ), ~( iLEQ( suc( W ), suc( U ) ) ), ~( iLEQ( suc(
% 27.50/27.92 U ), suc( Z ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) ), ~( 'E'( s( '0' )
% 27.50/27.92 , f( Z ) ) ), ~( 'E'( s( '0' ), f( suc( Z ) ) ) ), ~( iLEQ( suc( Y ), suc(
% 27.50/27.92 X ) ) ), ~( 'E'( s( '0' ), f( W ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ) ]
% 27.50/27.92 )
% 27.50/27.92 , clause( 75, [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X ) )
% 27.50/27.92 , 'LE'( f( X ), s( '0' ) ) ] )
% 27.50/27.92 , clause( 76, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 27.50/27.92 iLEQ( suc( X ), suc( X ) ) ] )
% 27.50/27.92 , clause( 77, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f(
% 27.50/27.92 X ), '0' ) ] )
% 27.50/27.92 , clause( 78, [ ~( 'LE'( f( X ), s( s( s( '0' ) ) ) ) ), 'E'( s( s( '0' ) )
% 27.50/27.92 , f( X ) ), 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 27.50/27.92 , clause( 79, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 27.50/27.92 suc( X ) ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 27.50/27.92 , clause( 80, [ 'LE'( f( X ), s( s( s( '0' ) ) ) ) ] )
% 27.50/27.92 , clause( 81, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 27.50/27.92 , clause( 82, [ ~( 'LE'( f( suc( X ) ), s( s( s( '0' ) ) ) ) ), 'E'( s( s(
% 27.50/27.92 '0' ) ), f( suc( X ) ) ), 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 27.50/27.92 , clause( 83, [ ~( 'E'( s( s( '0' ) ), f( X ) ) ), ~( 'E'( s( s( '0' ) ), f(
% 27.50/27.92 suc( Y ) ) ) ), ~( 'E'( s( s( '0' ) ), f( Z ) ) ), ~( iLEQ( suc( T ), suc(
% 27.50/27.92 U ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( X ) ) ) ), ~( 'E'( s( s( '0' ) )
% 27.50/27.92 , f( W ) ) ), ~( 'E'( s( s( '0' ) ), f( Y ) ) ), ~( iLEQ( suc( Z ), suc(
% 27.50/27.92 T ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( U ) ) ) ), ~( 'E'( s( s( '0' ) )
% 27.50/27.92 , f( suc( T ) ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( W ) ) ) ), ~( 'E'( s(
% 27.50/27.92 s( '0' ) ), f( T ) ) ), ~( iLEQ( suc( U ), suc( W ) ) ), ~( 'E'( s( s(
% 27.50/27.92 '0' ) ), f( U ) ) ), ~( 'E'( s( s( '0' ) ), f( suc( Z ) ) ) ), ~( iLEQ(
% 27.50/27.92 suc( W ), suc( Y ) ) ), ~( iLEQ( suc( X ), suc( Z ) ) ) ] )
% 27.50/27.92 , clause( 84, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X )
% 27.50/27.92 ) ), 'LE'( f( X ), '0' ) ] )
% 27.50/27.92 , clause( 85, [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f(
% 27.50/27.92 suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 27.50/27.92 , clause( 86, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 27.50/27.92 ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 27.50/27.92 , clause( 87, [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( Y ) ) ),
% 27.50/27.92 ~( 'E'( '0', f( suc( Z ) ) ) ), ~( iLEQ( suc( T ), suc( U ) ) ), ~( 'E'(
% 27.50/27.92 '0', f( W ) ) ), ~( iLEQ( suc( U ), suc( Z ) ) ), ~( 'E'( '0', f( X ) ) )
% 27.50/27.92 , ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( iLEQ( suc(
% 27.50/27.92 Y ), suc( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( U
% 27.50/27.92 ) ) ) ), ~( iLEQ( suc( Z ), suc( W ) ) ), ~( 'E'( '0', f( suc( T ) ) ) )
% 27.50/27.92 , ~( 'E'( '0', f( suc( W ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f(
% 27.50/27.92 Z ) ) ) ] )
% 27.50/27.92 ] ).
% 27.50/27.92
% 27.50/27.92
% 27.50/27.92
% 27.50/27.92 subsumption(
% 27.50/27.92 clause( 0, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( suc(
% 27.50/27.92 Y ) ) ) ), ~( 'E'( s( '0' ), f( U ) ) ), ~( 'E'( s( '0' ), f( suc( W ) )
% 27.50/27.92 ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ),
% 27.50/27.92 ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( T ) ) ), ~( 'E'( s(
% 27.50/27.92 '0' ), f( suc( T ) ) ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' )
% 27.50/27.92 , f( suc( Z ) ) ) ), ~( 'E'( s( '0' ), f( W ) ) ), ~( iLEQ( suc( U ), suc(
% 27.50/27.92 Z ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) )
% 27.50/27.92 , ~( iLEQ( suc( T ), suc( Y ) ) ), ~( iLEQ( suc( W ), suc( U ) ) ) ] )
% 27.50/27.92 , clause( 74, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 27.50/27.92 suc( Y ) ) ) ), ~( iLEQ( suc( Z ), suc( T ) ) ), ~( 'E'( s( '0' ), f( U )
% 27.50/27.92 ) ), ~( 'E'( s( '0' ), f( suc( W ) ) ) ), ~( 'E'( s( '0' ), f( suc( U )
% 27.50/27.92 ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~(
% 27.50/27.92 'E'( s( '0' ), f( T ) ) ), ~( iLEQ( suc( W ), suc( U ) ) ), ~( iLEQ( suc(
% 27.50/27.92 U ), suc( Z ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) ), ~( 'E'( s( '0' )
% 27.50/27.92 , f( Z ) ) ), ~( 'E'( s( '0' ), f( suc( Z ) ) ) ), ~( iLEQ( suc( Y ), suc(
% 27.50/27.92 X ) ) ), ~( 'E'( s( '0' ), f( W ) ) ), ~( iLEQ( suc( T ), suc( Y ) ) ) ]
% 27.50/27.92 )
% 27.50/27.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 27.50/27.92 , U ), :=( W, W )] ), permutaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------