TSTP Solution File: SYO666-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO666-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 14:29:14 EDT 2022
% Result : Unsatisfiable 0.70s 1.16s
% Output : Refutation 30.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO666-1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sat Jul 9 12:58:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.70/1.16 *** allocated 10000 integers for termspace/termends
% 0.70/1.16 *** allocated 10000 integers for clauses
% 0.70/1.16 *** allocated 10000 integers for justifications
% 0.70/1.16 Bliksem 1.12
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 Automatic Strategy Selection
% 0.70/1.16
% 0.70/1.16 Clauses:
% 0.70/1.16 [
% 0.70/1.16 [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ), ~(
% 0.70/1.16 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( T ) ) ), ~( 'E'( '0'
% 0.70/1.16 , f( suc( Y ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f( suc( U ) )
% 0.70/1.16 ) ), ~( 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( W ), suc( X ) ) ), ~( 'E'(
% 0.70/1.16 '0', f( X ) ) ), ~( iLEQ( suc( U ), suc( W ) ) ), ~( 'E'( '0', f( suc( T
% 0.70/1.16 ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( iLEQ( suc( Z ), suc( U ) ) ), ~(
% 0.70/1.16 'E'( '0', f( suc( W ) ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( W )
% 0.70/1.16 ) ) ],
% 0.70/1.16 [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), iLEQ( suc( X
% 0.70/1.16 ), suc( X ) ) ],
% 0.70/1.16 [ ~( 'LE'( f( z ), '0' ) ) ],
% 0.70/1.16 [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'(
% 0.70/1.16 f( X ), '0' ) ],
% 0.70/1.16 [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f( X ), '0' )
% 0.70/1.16 ],
% 0.70/1.16 [ 'LE'( f( X ), s( s( '0' ) ) ) ],
% 0.70/1.16 [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ),
% 0.70/1.16 iLEQ( suc( X ), suc( X ) ) ],
% 0.70/1.16 [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( suc( X )
% 0.70/1.16 ) ), 'LE'( f( X ), s( '0' ) ) ],
% 0.70/1.16 [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f(
% 0.70/1.16 X ), s( '0' ) ) ],
% 0.70/1.16 [ ~( 'E'( s( '0' ), f( X ) ) ), ~( iLEQ( suc( Y ), suc( Z ) ) ), ~( 'E'(
% 0.70/1.16 s( '0' ), f( T ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) ), ~( iLEQ( suc(
% 0.70/1.16 U ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s( '0' ), f( suc(
% 0.70/1.16 Y ) ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 0.70/1.16 ) ) ), ~( iLEQ( suc( Z ), suc( W ) ) ), ~( 'E'( s( '0' ), f( suc( U ) )
% 0.70/1.16 ) ), ~( 'E'( s( '0' ), f( W ) ) ), ~( 'E'( s( '0' ), f( suc( Z ) ) ) ),
% 0.70/1.16 ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( s( '0' ), f( U ) ) ), ~( 'E'( s(
% 0.70/1.16 '0' ), f( Z ) ) ), ~( 'E'( s( '0' ), f( suc( W ) ) ) ) ]
% 0.70/1.16 ] .
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 percentage equality = 0.000000, percentage horn = 0.600000
% 0.70/1.16 This a non-horn, non-equality problem
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 Options Used:
% 0.70/1.16
% 0.70/1.16 useres = 1
% 0.70/1.16 useparamod = 0
% 0.70/1.16 useeqrefl = 0
% 0.70/1.16 useeqfact = 0
% 0.70/1.16 usefactor = 1
% 0.70/1.16 usesimpsplitting = 0
% 0.70/1.16 usesimpdemod = 0
% 0.70/1.16 usesimpres = 3
% 0.70/1.16
% 0.70/1.16 resimpinuse = 1000
% 0.70/1.16 resimpclauses = 20000
% 0.70/1.16 substype = standard
% 0.70/1.16 backwardsubs = 1
% 0.70/1.16 selectoldest = 5
% 0.70/1.16
% 0.70/1.16 litorderings [0] = split
% 0.70/1.16 litorderings [1] = liftord
% 0.70/1.16
% 0.70/1.16 termordering = none
% 0.70/1.16
% 0.70/1.16 litapriori = 1
% 0.70/1.16 termapriori = 0
% 0.70/1.16 litaposteriori = 0
% 0.70/1.16 termaposteriori = 0
% 0.70/1.16 demodaposteriori = 0
% 0.70/1.16 ordereqreflfact = 0
% 0.70/1.16
% 0.70/1.16 litselect = none
% 0.70/1.16
% 0.70/1.16 maxweight = 15
% 0.70/1.16 maxdepth = 30000
% 0.70/1.16 maxlength = 115
% 0.70/1.16 maxnrvars = 195
% 0.70/1.16 excuselevel = 1
% 0.70/1.16 increasemaxweight = 1
% 0.70/1.16
% 0.70/1.16 maxselected = 10000000
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16
% 0.70/1.16 showgenerated = 0
% 0.70/1.16 showkept = 0
% 0.70/1.16 showselected = 0
% 0.70/1.16 showdeleted = 0
% 0.70/1.16 showresimp = 1
% 0.70/1.16 showstatus = 2000
% 0.70/1.16
% 0.70/1.16 prologoutput = 1
% 0.70/1.16 nrgoals = 5000000
% 0.70/1.16 totalproof = 1
% 0.70/1.16
% 0.70/1.16 Symbols occurring in the translation:
% 0.70/1.16
% 0.70/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.16 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 0.70/1.16 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 0.70/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.16 suc [40, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.70/1.16 iLEQ [42, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.70/1.16 '0' [43, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.70/1.16 f [45, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.70/1.16 'E' [46, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.70/1.16 z [50, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.70/1.16 'LE' [51, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.70/1.16 s [53, 1] (w:1, o:33, a:1, s:1, b:0).
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 15
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 243
% 0.70/1.16 Kept: 22
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 16
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 16
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 265
% 0.70/1.16 Kept: 27
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 17
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 17
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 265
% 0.70/1.16 Kept: 27
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 18
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 18
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 266
% 0.70/1.16 Kept: 28
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 19
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 19
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 266
% 0.70/1.16 Kept: 29
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 20
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 20
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 266
% 0.70/1.16 Kept: 29
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 21
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 21
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 266
% 0.70/1.16 Kept: 29
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 22
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 22
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 266
% 0.70/1.16 Kept: 30
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 23
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 23
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 260
% 0.70/1.16 Kept: 34
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 24
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 24
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 260
% 0.70/1.16 Kept: 34
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 25
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 25
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 260
% 0.70/1.16 Kept: 34
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 26
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16 Resimplifying inuse:
% 0.70/1.16 Done
% 0.70/1.16
% 0.70/1.16 Failed to find proof!
% 0.70/1.16 maxweight = 26
% 0.70/1.16 maxnrclauses = 10000000
% 0.70/1.16 Generated: 260
% 0.70/1.16 Kept: 34
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 The strategy used was not complete!
% 0.70/1.16
% 0.70/1.16 Increased maxweight to 27
% 0.70/1.16
% 0.70/1.16 Starting Search:
% 0.70/1.16
% 0.70/1.16
% 0.70/1.16 Bliksems!, er is een bewijs:
% 0.70/1.16 % SZS status Unsatisfiable
% 0.70/1.16 % SZS output start Refutation
% 0.70/1.16
% 0.70/1.16 clause( 0, [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( T ) )
% 0.70/1.16 ), ~( iLEQ( suc( W ), suc( X ) ) ), ~( iLEQ( suc( U ), suc( W ) ) ), ~(
% 0.70/1.16 iLEQ( suc( Z ), suc( U ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( '0'
% 0.70/1.16 , f( Y ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ),
% 0.70/1.16 ~( 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'(
% 0.70/1.16 '0', f( U ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( suc( W )
% 0.70/1.16 ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0', f( W ) ) ), ~( 'E'( '0', f(
% 0.70/1.16 Z ) ) ) ] )
% 0.70/1.16 .
% 0.70/1.16 clause( 1, [ iLEQ( suc( X ), suc( X ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 0.70/1.16 '0', f( suc( X ) ) ) ) ] )
% 0.70/1.16 .
% 0.70/1.16 clause( 2, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.70/1.16 .
% 0.70/1.16 clause( 3, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 0.70/1.16 suc( X ) ), s( '0' ) ) ) ] )
% 0.70/1.16 .
% 0.70/1.16 clause( 4, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 0.70/1.16 '0' ) ) ) ] )
% 0.70/1.16 .
% 0.70/1.16 clause( 5, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.70/1.16 .
% 0.70/1.16 clause( 6, [ iLEQ( suc( X ), suc( X ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~(
% 0.70/1.16 'E'( s( '0' ), f( suc( X ) ) ) ) ] )
% 0.70/1.16 .
% 0.70/1.16 clause( 7, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.70/1.16 .
% 0.70/1.16 clause( 8, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.70/1.16 .
% 0.70/1.16 clause( 9, [ ~( iLEQ( suc( Y ), suc( Z ) ) ), ~( iLEQ( suc( U ), suc( Y ) )
% 0.70/1.16 ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( iLEQ( suc( Z ), suc( W ) ) ), ~(
% 0.70/1.16 iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'(
% 0.70/1.16 s( '0' ), f( T ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0'
% 0.70/1.16 ), f( suc( T ) ) ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( 'E'( s(
% 0.70/1.16 '0' ), f( W ) ) ), ~( 'E'( s( '0' ), f( suc( Z ) ) ) ), ~( 'E'( s( '0' )
% 0.70/1.16 , f( X ) ) ), ~( 'E'( s( '0' ), f( U ) ) ), ~( 'E'( s( '0' ), f( Z ) ) )
% 0.70/1.16 , ~( 'E'( s( '0' ), f( suc( W ) ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ) ] )
% 0.70/1.16 .
% 0.70/1.16 clause( 10, [ ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( Z ), suc( Y )
% 0.70/1.16 ) ), ~( iLEQ( suc( T ), suc( Z ) ) ), ~( 'E'( '0', f( X ) ) ), ~( 'E'(
% 0.70/1.16 '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( Z
% 30.54/30.99 ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'(
% 30.54/30.99 '0', f( T ) ) ), ~( 'E'( '0', f( suc( Z ) ) ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 11, [ ~( iLEQ( suc( Y ), suc( X ) ) ), ~( 'E'( '0', f( suc( X ) ) )
% 30.54/30.99 ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0'
% 30.54/30.99 , f( X ) ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 12, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 13, [ ~( iLEQ( suc( Y ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Z )
% 30.54/30.99 ) ), ~( iLEQ( suc( T ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( T ) ) ), ~(
% 30.54/30.99 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) ),
% 30.54/30.99 ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s(
% 30.54/30.99 '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( Z ) ) ) ), ~( 'E'( s( '0' )
% 30.54/30.99 , f( suc( X ) ) ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 14, [ ~( iLEQ( suc( Y ), suc( X ) ) ), ~( 'E'( s( '0' ), f( suc( X
% 30.54/30.99 ) ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( X ) )
% 30.54/30.99 ), ~( 'E'( s( '0' ), f( Y ) ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 15, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 30.54/30.99 ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 16, [ 'E'( '0', f( X ) ), 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f(
% 30.54/30.99 X ), '0' ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 17, [ 'E'( '0', f( X ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f( X ),
% 30.54/30.99 '0' ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 18, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( z ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 19, [ 'E'( '0', f( z ) ), ~( 'E'( s( '0' ), f( suc( z ) ) ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 20, [ 'E'( '0', f( z ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 21, [ ~( 'E'( '0', f( suc( z ) ) ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 22, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( suc( X ) )
% 30.54/30.99 ) ), 'LE'( f( X ), '0' ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 23, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( X ) ) ),
% 30.54/30.99 'LE'( f( X ), '0' ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 24, [ 'E'( s( '0' ), f( suc( z ) ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 25, [ ~( 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 27, [ 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ] )
% 30.54/30.99 .
% 30.54/30.99 clause( 28, [] )
% 30.54/30.99 .
% 30.54/30.99
% 30.54/30.99
% 30.54/30.99 % SZS output end Refutation
% 30.54/30.99 found a proof!
% 30.54/30.99
% 30.54/30.99 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 30.54/30.99
% 30.54/30.99 initialclauses(
% 30.54/30.99 [ clause( 30, [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( 'E'( '0', f( suc( Z ) )
% 30.54/30.99 ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( iLEQ( suc( Y ), suc( T ) ) ),
% 30.54/30.99 ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0', f( Z ) ) ), ~( 'E'( '0', f(
% 30.54/30.99 suc( U ) ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( W ), suc( X ) ) )
% 30.54/30.99 , ~( 'E'( '0', f( X ) ) ), ~( iLEQ( suc( U ), suc( W ) ) ), ~( 'E'( '0',
% 30.54/30.99 f( suc( T ) ) ) ), ~( 'E'( '0', f( U ) ) ), ~( iLEQ( suc( Z ), suc( U ) )
% 30.54/30.99 ), ~( 'E'( '0', f( suc( W ) ) ) ), ~( 'E'( '0', f( T ) ) ), ~( 'E'( '0'
% 30.54/30.99 , f( W ) ) ) ] )
% 30.54/30.99 , clause( 31, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 30.54/30.99 iLEQ( suc( X ), suc( X ) ) ] )
% 30.54/30.99 , clause( 32, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 30.54/30.99 , clause( 33, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X )
% 30.54/30.99 ) ), 'LE'( f( X ), '0' ) ] )
% 30.54/30.99 , clause( 34, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f(
% 30.54/30.99 X ), '0' ) ] )
% 30.54/30.99 , clause( 35, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 30.54/30.99 , clause( 36, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 30.54/30.99 ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 30.54/30.99 , clause( 37, [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f(
% 30.54/30.99 suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 30.54/30.99 , clause( 38, [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X ) )
% 30.54/30.99 , 'LE'( f( X ), s( '0' ) ) ] )
% 30.54/30.99 , clause( 39, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( iLEQ( suc( Y ), suc( Z ) )
% 30.54/30.99 ), ~( 'E'( s( '0' ), f( T ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) ),
% 30.54/30.99 ~( iLEQ( suc( U ), suc( Y ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s(
% 30.54/30.99 '0' ), f( suc( Y ) ) ) ), ~( iLEQ( suc( X ), suc( U ) ) ), ~( 'E'( s( '0'
% 30.54/30.99 ), f( suc( X ) ) ) ), ~( iLEQ( suc( Z ), suc( W ) ) ), ~( 'E'( s( '0' )
% 30.54/30.99 , f( suc( U ) ) ) ), ~( 'E'( s( '0' ), f( W ) ) ), ~( 'E'( s( '0' ), f(
% 30.54/30.99 suc( Z ) ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( s( '0' ), f( U )
% 30.54/30.99 ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' ), f( suc( W ) ) ) ) ]
% 30.54/30.99 )
% 30.54/30.99 ] ).
% 30.54/30.99
% 30.54/30.99
% 30.54/30.99
% 30.54/30.99 subsumption(
% 30.54/30.99 clause( 0, [ ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Y ), suc( T ) )
% 30.54/30.99 ), ~( iLEQ( suc( W ), suc( X ) ) ), ~( iLEQ( suc( U ), suc( W ) ) ), ~(
% 30.54/30.99 iLEQ( suc( Z ), suc( U ) ) ), ~( 'ECputime limit exceeded (core dumped)
%------------------------------------------------------------------------------