TSTP Solution File: SYO664-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO664-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 14:29:13 EDT 2022
% Result : Unsatisfiable 0.72s 1.11s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO664-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n021.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 : Fri Jul 8 20:15:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11 [
% 0.72/1.11 [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X ) ) ), ~(
% 0.72/1.11 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z ) ) ) ),
% 0.72/1.11 ~( 'E'( s( '0' ), f( T ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) ), ~(
% 0.72/1.11 iLEQ( suc( T ), suc( Z ) ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~( iLEQ( suc(
% 0.72/1.11 U ), suc( X ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s( '0' ), f( U )
% 0.72/1.11 ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Z ), suc( U ) ) ),
% 0.72/1.11 ~( 'E'( s( '0' ), f( suc( U ) ) ) ) ],
% 0.72/1.11 [ ~( 'LE'( f( z ), '0' ) ) ],
% 0.72/1.11 [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f(
% 0.72/1.11 X ), s( '0' ) ) ],
% 0.72/1.11 [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~( 'E'( '0',
% 0.72/1.11 f( suc( Z ) ) ) ), ~( iLEQ( suc( Z ), suc( Y ) ) ), ~( iLEQ( suc( Y ),
% 0.72/1.11 suc( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( Z ) ) ),
% 0.72/1.11 ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( U ) ) ), ~( iLEQ( suc( X
% 0.72/1.11 ), suc( U ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( Y ) ) )
% 0.72/1.11 , ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( '0', f( T ) ) ) ],
% 0.72/1.11 [ 'LE'( f( X ), s( s( '0' ) ) ) ],
% 0.72/1.11 [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), iLEQ( suc( X
% 0.72/1.11 ), suc( X ) ) ],
% 0.72/1.11 [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X ) ) ), 'LE'(
% 0.72/1.11 f( X ), '0' ) ],
% 0.72/1.11 [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f( X ), '0' )
% 0.72/1.11 ],
% 0.72/1.11 [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) ) ) ),
% 0.72/1.11 iLEQ( suc( X ), suc( X ) ) ],
% 0.72/1.11 [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( suc( X )
% 0.72/1.11 ) ), 'LE'( f( X ), s( '0' ) ) ]
% 0.72/1.11 ] .
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 percentage equality = 0.000000, percentage horn = 0.600000
% 0.72/1.11 This a non-horn, non-equality problem
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Options Used:
% 0.72/1.11
% 0.72/1.11 useres = 1
% 0.72/1.11 useparamod = 0
% 0.72/1.11 useeqrefl = 0
% 0.72/1.11 useeqfact = 0
% 0.72/1.11 usefactor = 1
% 0.72/1.11 usesimpsplitting = 0
% 0.72/1.11 usesimpdemod = 0
% 0.72/1.11 usesimpres = 3
% 0.72/1.11
% 0.72/1.11 resimpinuse = 1000
% 0.72/1.11 resimpclauses = 20000
% 0.72/1.11 substype = standard
% 0.72/1.11 backwardsubs = 1
% 0.72/1.11 selectoldest = 5
% 0.72/1.11
% 0.72/1.11 litorderings [0] = split
% 0.72/1.11 litorderings [1] = liftord
% 0.72/1.11
% 0.72/1.11 termordering = none
% 0.72/1.11
% 0.72/1.11 litapriori = 1
% 0.72/1.11 termapriori = 0
% 0.72/1.11 litaposteriori = 0
% 0.72/1.11 termaposteriori = 0
% 0.72/1.11 demodaposteriori = 0
% 0.72/1.11 ordereqreflfact = 0
% 0.72/1.11
% 0.72/1.11 litselect = none
% 0.72/1.11
% 0.72/1.11 maxweight = 15
% 0.72/1.11 maxdepth = 30000
% 0.72/1.11 maxlength = 115
% 0.72/1.11 maxnrvars = 195
% 0.72/1.11 excuselevel = 1
% 0.72/1.11 increasemaxweight = 1
% 0.72/1.11
% 0.72/1.11 maxselected = 10000000
% 0.72/1.11 maxnrclauses = 10000000
% 0.72/1.11
% 0.72/1.11 showgenerated = 0
% 0.72/1.11 showkept = 0
% 0.72/1.11 showselected = 0
% 0.72/1.11 showdeleted = 0
% 0.72/1.11 showresimp = 1
% 0.72/1.11 showstatus = 2000
% 0.72/1.11
% 0.72/1.11 prologoutput = 1
% 0.72/1.11 nrgoals = 5000000
% 0.72/1.11 totalproof = 1
% 0.72/1.11
% 0.72/1.11 Symbols occurring in the translation:
% 0.72/1.11
% 0.72/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.11 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.72/1.11 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.72/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 '0' [39, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.72/1.11 s [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.11 suc [42, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.72/1.11 f [43, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.72/1.11 'E' [44, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.11 iLEQ [48, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.11 z [50, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.72/1.11 'LE' [51, 2] (w:1, o:59, a:1, s:1, b:0).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Starting Search:
% 0.72/1.11
% 0.72/1.11 Resimplifying inuse:
% 0.72/1.11 Done
% 0.72/1.11
% 0.72/1.11 Failed to find proof!
% 0.72/1.11 maxweight = 15
% 0.72/1.11 maxnrclauses = 10000000
% 0.72/1.11 Generated: 308
% 0.72/1.11 Kept: 33
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 The strategy used was not complete!
% 0.72/1.11
% 0.72/1.11 Increased maxweight to 16
% 0.72/1.11
% 0.72/1.11 Starting Search:
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Bliksems!, er is een bewijs:
% 0.72/1.11 % SZS status Unsatisfiable
% 0.72/1.11 % SZS output start Refutation
% 0.72/1.11
% 0.72/1.11 clause( 0, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X )
% 0.72/1.11 ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z )
% 0.72/1.11 ) ) ), ~( 'E'( s( '0' ), f( T ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) )
% 0.72/1.11 , ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s(
% 0.72/1.11 '0' ), f( U ) ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( iLEQ( suc( X )
% 0.72/1.11 , suc( Y ) ) ), ~( iLEQ( suc( Z ), suc( U ) ) ), ~( iLEQ( suc( T ), suc(
% 0.72/1.11 Z ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 1, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 2, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ), ~( 'LE'( f(
% 0.72/1.11 X ), s( s( '0' ) ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 3, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~(
% 0.72/1.11 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0'
% 0.72/1.11 , f( Z ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 0.72/1.11 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( '0', f(
% 0.72/1.11 T ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( iLEQ( suc( Z ), suc( Y ) ) )
% 0.72/1.11 , ~( iLEQ( suc( X ), suc( U ) ) ), ~( iLEQ( suc( Y ), suc( T ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 4, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 5, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), iLEQ(
% 0.72/1.11 suc( X ), suc( X ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 6, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 0.72/1.11 suc( X ) ), s( '0' ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 7, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 0.72/1.11 '0' ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 8, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.72/1.11 ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 9, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 13, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X )
% 0.72/1.11 ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z )
% 0.72/1.11 ) ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~(
% 0.72/1.11 iLEQ( suc( Z ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 14, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 0.72/1.11 ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 19, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~(
% 0.72/1.11 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0'
% 0.72/1.11 , f( Z ) ) ), ~( 'E'( '0', f( Y ) ) ), ~( iLEQ( suc( Y ), suc( X ) ) ),
% 0.72/1.11 ~( iLEQ( suc( Z ), suc( Y ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 20, [ ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( X ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 21, [ 'E'( '0', f( X ) ), 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f(
% 0.72/1.11 X ), '0' ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 22, [ 'E'( '0', f( z ) ), 'E'( s( '0' ), f( suc( z ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 24, [ 'E'( '0', f( z ) ), ~( 'E'( s( '0' ), f( z ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 25, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 26, [ 'E'( '0', f( X ) ), 'E'( s( '0' ), f( X ) ), 'LE'( f( X ),
% 0.72/1.11 '0' ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 27, [ 'E'( '0', f( z ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 28, [ ~( 'E'( '0', f( suc( z ) ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 29, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( X ) ) ),
% 0.72/1.11 'LE'( f( X ), '0' ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 30, [ 'E'( '0', f( suc( X ) ) ), 'E'( s( '0' ), f( suc( suc( X ) )
% 0.72/1.11 ) ), 'LE'( f( X ), '0' ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 31, [ 'E'( s( '0' ), f( suc( z ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 32, [ ~( 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 34, [ 'E'( s( '0' ), f( suc( suc( z ) ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 35, [] )
% 0.72/1.11 .
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 % SZS output end Refutation
% 0.72/1.11 found a proof!
% 0.72/1.11
% 0.72/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11
% 0.72/1.11 initialclauses(
% 0.72/1.11 [ clause( 37, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X
% 0.72/1.11 ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z
% 0.72/1.11 ) ) ) ), ~( 'E'( s( '0' ), f( T ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) )
% 0.72/1.11 ), ~( iLEQ( suc( T ), suc( Z ) ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~(
% 0.72/1.11 iLEQ( suc( U ), suc( X ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s(
% 0.72/1.11 '0' ), f( U ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Z ),
% 0.72/1.11 suc( U ) ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ) ] )
% 0.72/1.11 , clause( 38, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 0.72/1.11 , clause( 39, [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X ) )
% 0.72/1.11 , 'LE'( f( X ), s( '0' ) ) ] )
% 0.72/1.11 , clause( 40, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ),
% 0.72/1.11 ~( 'E'( '0', f( suc( Z ) ) ) ), ~( iLEQ( suc( Z ), suc( Y ) ) ), ~( iLEQ(
% 0.72/1.11 suc( Y ), suc( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( Z
% 0.72/1.11 ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( U ) ) ), ~( iLEQ(
% 0.72/1.11 suc( X ), suc( U ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( Y
% 0.72/1.11 ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( '0', f( T ) ) ) ] )
% 3.90/4.29 , clause( 41, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 3.90/4.29 , clause( 42, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 3.90/4.29 iLEQ( suc( X ), suc( X ) ) ] )
% 3.90/4.29 , clause( 43, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X )
% 3.90/4.29 ) ), 'LE'( f( X ), '0' ) ] )
% 3.90/4.29 , clause( 44, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f(
% 3.90/4.29 X ), '0' ) ] )
% 3.90/4.29 , clause( 45, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 3.90/4.29 ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 3.90/4.29 , clause( 46, [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f(
% 3.90/4.29 suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 3.90/4.29 ] ).
% 3.90/4.29
% 3.90/4.29
% 3.90/4.29
% 3.90/4.29 subsumption(
% 3.90/4.29 clause( 0, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X )
% 3.90/4.29 ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z )
% 3.90/4.29 ) ) ), ~( 'E'( s( '0' ), f( T ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) ) )
% 3.90/4.29 , ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s(
% 3.90/4.29 '0' ), f( U ) ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ), ~( iLEQ( suc( X )
% 3.90/4.29 , suc( Y ) ) ), ~( iLEQ( suc( Z ), suc( U ) ) ), ~( iLEQ( suc( T ), suc(
% 3.90/4.29 Z ) ) ), ~( iLEQ( suc( U ), suc( X ) ) ) ] )
% 3.90/4.29 , clause( 37, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f( X
% 3.90/4.29 ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z
% 3.90/4.29 ) ) ) ), ~( 'E'( s( '0' ), f( T ) ) ), ~( 'E'( s( '0' ), f( suc( T ) ) )
% 3.90/4.29 ), ~( iLEQ( suc( T ), suc( Z ) ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~(
% 3.90/4.29 iLEQ( suc( U ), suc( X ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~( 'E'( s(
% 3.90/4.29 '0' ), f( U ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ), ~( iLEQ( suc( Z ),
% 3.90/4.29 suc( U ) ) ), ~( 'E'( s( '0' ), f( suc( U ) ) ) ) ] )
% 3.90/4.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.90/4.29 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 3.90/4.29 , 3 ), ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 12 ), ==>( 7, 6 ), ==>( 8, 13 )
% 3.90/4.29 , ==>( 9, 7 ), ==>( 10, 8 ), ==>( 11, 10 ), ==>( 12, 11 ), ==>( 13, 9 )] )
% 3.90/4.29 ).
% 3.90/4.29
% 3.90/4.29
% 3.90/4.29 subsumption(
% 3.90/4.29 clause( 1, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 3.90/4.29 , clause( 38, [ ~( 'LE'( f( z ), '0' ) ) ] )
% 3.90/4.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.90/4.29
% 3.90/4.29
% 3.90/4.29 subsumption(
% 3.90/4.29 clause( 2, [ 'E'( s( '0' ), f( X ) ), 'LE'( f( X ), s( '0' ) ), ~( 'LE'( f(
% 3.90/4.29 X ), s( s( '0' ) ) ) ) ] )
% 3.90/4.29 , clause( 39, [ ~( 'LE'( f( X ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f( X ) )
% 3.90/4.29 , 'LE'( f( X ), s( '0' ) ) ] )
% 3.90/4.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 3.90/4.29 0 ), ==>( 2, 1 )] ) ).
% 3.90/4.29
% 3.90/4.29
% 3.90/4.29 subsumption(
% 3.90/4.29 clause( 3, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ), ~(
% 3.90/4.29 'E'( '0', f( suc( Z ) ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0'
% 3.90/4.29 , f( Z ) ) ), ~( 'E'( '0', f( U ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ),
% 3.90/4.29 ~( 'E'( '0', f( Y ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( '0', f(
% 3.90/4.29 T ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( iLEQ( suc( Z ), suc( Y ) ) )
% 3.90/4.29 , ~( iLEQ( suc( X ), suc( U ) ) ), ~( iLEQ( suc( Y ), suc( T ) ) ) ] )
% 3.90/4.29 , clause( 40, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( Y ) ) ) ),
% 3.90/4.29 ~( 'E'( '0', f( suc( Z ) ) ) ), ~( iLEQ( suc( Z ), suc( Y ) ) ), ~( iLEQ(
% 3.90/4.29 suc( Y ), suc( T ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), ~( 'E'( '0', f( Z
% 3.90/4.29 ) ) ), ~( iLEQ( suc( T ), suc( X ) ) ), ~( 'E'( '0', f( U ) ) ), ~( iLEQ(
% 3.90/4.29 suc( X ), suc( U ) ) ), ~( 'E'( '0', f( suc( T ) ) ) ), ~( 'E'( '0', f( Y
% 3.90/4.29 ) ) ), ~( 'E'( '0', f( suc( U ) ) ) ), ~( 'E'( '0', f( T ) ) ) ] )
% 3.90/4.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.90/4.29 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 3.90/4.29 , 11 ), ==>( 4, 13 ), ==>( 5, 3 ), ==>( 6, 4 ), ==>( 7, 10 ), ==>( 8, 5 )
% 3.90/4.29 , ==>( 9, 12 ), ==>( 10, 6 ), ==>( 11, 7 ), ==>( 12, 8 ), ==>( 13, 9 )] )
% 3.90/4.29 ).
% 3.90/4.29
% 3.90/4.29
% 3.90/4.29 subsumption(
% 3.90/4.29 clause( 4, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 3.90/4.29 , clause( 41, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 3.90/4.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.90/4.29
% 3.90/4.29
% 3.90/4.29 subsumption(
% 3.90/4.29 clause( 5, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ), iLEQ(
% 3.90/4.29 suc( X ), suc( X ) ) ] )
% 3.90/4.29 , clause( 42, [ ~( 'E'( '0', f( X ) ) ), ~( 'E'( '0', f( suc( X ) ) ) ),
% 3.90/4.29 iLEQ( suc( X ), suc( X ) ) ] )
% 8.39/8.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 8.39/8.81 1 ), ==>( 2, 2 )] ) ).
% 8.39/8.81
% 8.39/8.81
% 8.39/8.81 subsumption(
% 8.39/8.81 clause( 6, [ 'E'( '0', f( suc( X ) ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f(
% 8.39/8.81 suc( X ) ), s( '0' ) ) ) ] )
% 8.39/8.81 , clause( 43, [ ~( 'LE'( f( suc( X ) ), s( '0' ) ) ), 'E'( '0', f( suc( X )
% 8.39/8.81 ) ), 'LE'( f( X ), '0' ) ] )
% 8.39/8.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 8.39/8.81 0 ), ==>( 2, 1 )] ) ).
% 8.39/8.81
% 8.39/8.81
% 8.39/8.81 subsumption(
% 8.39/8.81 clause( 7, [ 'E'( '0', f( X ) ), 'LE'( f( X ), '0' ), ~( 'LE'( f( X ), s(
% 8.39/8.81 '0' ) ) ) ] )
% 8.39/8.81 , clause( 44, [ ~( 'LE'( f( X ), s( '0' ) ) ), 'E'( '0', f( X ) ), 'LE'( f(
% 8.39/8.81 X ), '0' ) ] )
% 8.39/8.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 8.39/8.81 0 ), ==>( 2, 1 )] ) ).
% 8.39/8.81
% 8.39/8.81
% 8.39/8.81 subsumption(
% 8.39/8.81 clause( 8, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X ) )
% 8.39/8.81 ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 8.39/8.81 , clause( 45, [ ~( 'E'( s( '0' ), f( X ) ) ), ~( 'E'( s( '0' ), f( suc( X )
% 8.39/8.81 ) ) ), iLEQ( suc( X ), suc( X ) ) ] )
% 8.39/8.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 8.39/8.81 1 ), ==>( 2, 2 )] ) ).
% 8.39/8.81
% 8.39/8.81
% 8.39/8.81 resolution(
% 8.39/8.81 clause( 25485, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ]
% 8.39/8.81 )
% 8.39/8.81 , clause( 46, [ ~( 'LE'( f( suc( X ) ), s( s( '0' ) ) ) ), 'E'( s( '0' ), f(
% 8.39/8.81 suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 8.39/8.81 , 0, clause( 4, [ 'LE'( f( X ), s( s( '0' ) ) ) ] )
% 8.39/8.81 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, suc( X ) )] )
% 8.39/8.81 ).
% 8.39/8.81
% 8.39/8.81
% 8.39/8.81 subsumption(
% 8.39/8.81 clause( 9, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) ) ] )
% 8.39/8.81 , clause( 25485, [ 'E'( s( '0' ), f( suc( X ) ) ), 'LE'( f( X ), s( '0' ) )
% 8.39/8.81 ] )
% 8.39/8.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 8.39/8.81 1 )] ) ).
% 8.39/8.81
% 8.39/8.81
% 8.39/8.81
% 8.39/8.81 ==> clause( 13, [ ~( 'E'( s( '0' ), f( suc( X ) ) ) ), ~( 'E'( s( '0' ), f(
% 8.39/8.81 X ) ) ), ~( 'E'( s( '0' ), f( suc( Y ) ) ) ), ~( 'E'( s( '0' ), f( suc( Z
% 8.39/8.81 ) ) ) ), ~( 'E'( s( '0' ), f( Z ) ) ), ~( 'E'( s( '0' ), f( Y ) ) ), ~(
% 8.39/8.81 iLEQ( suc( Z ), suc( X ) ) ), ~( iLEQ( suc( X ), suc( Y ) ) ) ] )
% 8.39/8.81
% 8.39/8.81
% 8.39/8.81
% 8.39/8.81 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 8.39/8.81
% 8.39/8.81 Bliksem ended
%------------------------------------------------------------------------------