TSTP Solution File: BOO075-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO075-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 14 23:30:49 EDT 2022
% Result : Unsatisfiable 0.72s 1.10s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : BOO075-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 1 20:24:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.10 *** allocated 10000 integers for termspace/termends
% 0.72/1.10 *** allocated 10000 integers for clauses
% 0.72/1.10 *** allocated 10000 integers for justifications
% 0.72/1.10 Bliksem 1.12
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Automatic Strategy Selection
% 0.72/1.10
% 0.72/1.10 Clauses:
% 0.72/1.10 [
% 0.72/1.10 [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand( Z, X ) ) )
% 0.72/1.10 , Y ) ],
% 0.72/1.10 [ ~( =( nand( nand( a, a ), nand( b, a ) ), a ) ) ]
% 0.72/1.10 ] .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.10 This is a pure equality problem
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Options Used:
% 0.72/1.10
% 0.72/1.10 useres = 1
% 0.72/1.10 useparamod = 1
% 0.72/1.10 useeqrefl = 1
% 0.72/1.10 useeqfact = 1
% 0.72/1.10 usefactor = 1
% 0.72/1.10 usesimpsplitting = 0
% 0.72/1.10 usesimpdemod = 5
% 0.72/1.10 usesimpres = 3
% 0.72/1.10
% 0.72/1.10 resimpinuse = 1000
% 0.72/1.10 resimpclauses = 20000
% 0.72/1.10 substype = eqrewr
% 0.72/1.10 backwardsubs = 1
% 0.72/1.10 selectoldest = 5
% 0.72/1.10
% 0.72/1.10 litorderings [0] = split
% 0.72/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.10
% 0.72/1.10 termordering = kbo
% 0.72/1.10
% 0.72/1.10 litapriori = 0
% 0.72/1.10 termapriori = 1
% 0.72/1.10 litaposteriori = 0
% 0.72/1.10 termaposteriori = 0
% 0.72/1.10 demodaposteriori = 0
% 0.72/1.10 ordereqreflfact = 0
% 0.72/1.10
% 0.72/1.10 litselect = negord
% 0.72/1.10
% 0.72/1.10 maxweight = 15
% 0.72/1.10 maxdepth = 30000
% 0.72/1.10 maxlength = 115
% 0.72/1.10 maxnrvars = 195
% 0.72/1.10 excuselevel = 1
% 0.72/1.10 increasemaxweight = 1
% 0.72/1.10
% 0.72/1.10 maxselected = 10000000
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10
% 0.72/1.10 showgenerated = 0
% 0.72/1.10 showkept = 0
% 0.72/1.10 showselected = 0
% 0.72/1.10 showdeleted = 0
% 0.72/1.10 showresimp = 1
% 0.72/1.10 showstatus = 2000
% 0.72/1.10
% 0.72/1.10 prologoutput = 1
% 0.72/1.10 nrgoals = 5000000
% 0.72/1.10 totalproof = 1
% 0.72/1.10
% 0.72/1.10 Symbols occurring in the translation:
% 0.72/1.10
% 0.72/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.10 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.10 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.72/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 nand [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.72/1.10 a [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.10 b [44, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 15
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 127
% 0.72/1.10 Kept: 5
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 16
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 16
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 127
% 0.72/1.10 Kept: 5
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 17
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 17
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 127
% 0.72/1.10 Kept: 5
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 18
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 Failed to find proof!
% 0.72/1.10 maxweight = 18
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10 Generated: 127
% 0.72/1.10 Kept: 5
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 The strategy used was not complete!
% 0.72/1.10
% 0.72/1.10 Increased maxweight to 19
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksems!, er is een bewijs:
% 0.72/1.10 % SZS status Unsatisfiable
% 0.72/1.10 % SZS output start Refutation
% 0.72/1.10
% 0.72/1.10 clause( 0, [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand( Z
% 0.72/1.10 , X ) ) ), Y ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 1, [ ~( =( nand( nand( a, a ), nand( b, a ) ), a ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 2, [ =( nand( nand( nand( Y, nand( Z, X ) ), nand( Y, nand( Y, nand(
% 0.72/1.10 Z, X ) ) ) ), nand( nand( X, nand( nand( Y, X ), X ) ), nand( T, nand( Y
% 0.72/1.10 , nand( Z, X ) ) ) ) ), nand( X, nand( nand( Y, X ), X ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 3, [ =( nand( nand( nand( Z, X ), nand( nand( nand( X, nand( nand(
% 0.72/1.10 Y, X ), X ) ), nand( Z, X ) ), nand( Z, X ) ) ), Y ), nand( X, nand( nand(
% 0.72/1.10 Y, X ), X ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 4, [ =( nand( nand( nand( Y, nand( Z, X ) ), nand( nand( T, nand( Y
% 0.72/1.10 , nand( Z, X ) ) ), nand( Y, nand( Z, X ) ) ) ), nand( T, Y ) ), T ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 6, [ =( nand( nand( Y, nand( nand( T, Y ), Y ) ), nand( T, nand( X
% 0.72/1.10 , nand( nand( Y, X ), X ) ) ) ), T ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 8, [ =( nand( X, nand( nand( X, X ), X ) ), nand( X, X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 11, [ =( nand( nand( X, X ), nand( X, nand( Y, X ) ) ), X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 12, [ =( nand( nand( X, X ), nand( X, X ) ), X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 14, [ =( nand( X, nand( nand( X, X ), nand( Y, nand( X, X ) ) ) ),
% 0.72/1.10 nand( X, X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 16, [ =( nand( nand( Y, nand( nand( nand( X, X ), Y ), Y ) ), X ),
% 0.72/1.10 nand( X, X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 17, [ =( nand( nand( Y, nand( nand( X, Y ), Y ) ), nand( X, X ) ),
% 0.72/1.10 X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 20, [ =( nand( X, nand( nand( nand( nand( Y, X ), nand( Y, X ) ), X
% 0.72/1.10 ), X ) ), nand( Y, X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 24, [ =( nand( nand( X, X ), nand( Y, X ) ), X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 28, [] )
% 0.72/1.10 .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 % SZS output end Refutation
% 0.72/1.10 found a proof!
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 initialclauses(
% 0.72/1.10 [ clause( 30, [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ), Y ) ] )
% 0.72/1.10 , clause( 31, [ ~( =( nand( nand( a, a ), nand( b, a ) ), a ) ) ] )
% 0.72/1.10 ] ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 0, [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand( Z
% 0.72/1.10 , X ) ) ), Y ) ] )
% 0.72/1.10 , clause( 30, [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ), Y ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 1, [ ~( =( nand( nand( a, a ), nand( b, a ) ), a ) ) ] )
% 0.72/1.10 , clause( 31, [ ~( =( nand( nand( a, a ), nand( b, a ) ), a ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 eqswap(
% 0.72/1.10 clause( 35, [ =( Y, nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ) ) ] )
% 0.72/1.10 , clause( 0, [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ), Y ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 38, [ =( nand( X, nand( nand( Y, X ), X ) ), nand( nand( nand( Y,
% 0.72/1.10 nand( Z, X ) ), nand( Y, nand( Y, nand( Z, X ) ) ) ), nand( nand( X, nand(
% 0.72/1.10 nand( Y, X ), X ) ), nand( T, nand( Y, nand( Z, X ) ) ) ) ) ) ] )
% 0.72/1.10 , clause( 0, [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ), Y ) ] )
% 0.72/1.10 , 0, clause( 35, [ =( Y, nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y
% 0.72/1.10 , nand( Z, X ) ) ) ) ] )
% 0.72/1.10 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 substitution( 1, [ :=( X, nand( Y, nand( Z, X ) ) ), :=( Y, nand( X, nand(
% 0.72/1.10 nand( Y, X ), X ) ) ), :=( Z, T )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 eqswap(
% 0.72/1.10 clause( 41, [ =( nand( nand( nand( Y, nand( Z, X ) ), nand( Y, nand( Y,
% 0.72/1.10 nand( Z, X ) ) ) ), nand( nand( X, nand( nand( Y, X ), X ) ), nand( T,
% 0.72/1.10 nand( Y, nand( Z, X ) ) ) ) ), nand( X, nand( nand( Y, X ), X ) ) ) ] )
% 0.72/1.10 , clause( 38, [ =( nand( X, nand( nand( Y, X ), X ) ), nand( nand( nand( Y
% 0.72/1.10 , nand( Z, X ) ), nand( Y, nand( Y, nand( Z, X ) ) ) ), nand( nand( X,
% 0.72/1.10 nand( nand( Y, X ), X ) ), nand( T, nand( Y, nand( Z, X ) ) ) ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 2, [ =( nand( nand( nand( Y, nand( Z, X ) ), nand( Y, nand( Y, nand(
% 0.72/1.10 Z, X ) ) ) ), nand( nand( X, nand( nand( Y, X ), X ) ), nand( T, nand( Y
% 0.72/1.10 , nand( Z, X ) ) ) ) ), nand( X, nand( nand( Y, X ), X ) ) ) ] )
% 0.72/1.10 , clause( 41, [ =( nand( nand( nand( Y, nand( Z, X ) ), nand( Y, nand( Y,
% 0.72/1.10 nand( Z, X ) ) ) ), nand( nand( X, nand( nand( Y, X ), X ) ), nand( T,
% 0.72/1.10 nand( Y, nand( Z, X ) ) ) ) ), nand( X, nand( nand( Y, X ), X ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 eqswap(
% 0.72/1.10 clause( 44, [ =( Y, nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ) ) ] )
% 0.72/1.10 , clause( 0, [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ), Y ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 48, [ =( nand( X, nand( nand( Y, X ), X ) ), nand( nand( nand( Z, X
% 0.72/1.10 ), nand( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Z, X ) ), nand(
% 0.72/1.10 Z, X ) ) ), Y ) ) ] )
% 0.72/1.10 , clause( 0, [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ), Y ) ] )
% 0.72/1.10 , 0, clause( 44, [ =( Y, nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y
% 0.72/1.10 , nand( Z, X ) ) ) ) ] )
% 0.72/1.10 , 0, 28, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 substitution( 1, [ :=( X, nand( Z, X ) ), :=( Y, nand( X, nand( nand( Y,
% 0.72/1.10 X ), X ) ) ), :=( Z, Y )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 eqswap(
% 0.72/1.10 clause( 51, [ =( nand( nand( nand( Z, X ), nand( nand( nand( X, nand( nand(
% 0.72/1.10 Y, X ), X ) ), nand( Z, X ) ), nand( Z, X ) ) ), Y ), nand( X, nand( nand(
% 0.72/1.10 Y, X ), X ) ) ) ] )
% 0.72/1.10 , clause( 48, [ =( nand( X, nand( nand( Y, X ), X ) ), nand( nand( nand( Z
% 0.72/1.10 , X ), nand( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Z, X ) ),
% 0.72/1.10 nand( Z, X ) ) ), Y ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 3, [ =( nand( nand( nand( Z, X ), nand( nand( nand( X, nand( nand(
% 0.72/1.10 Y, X ), X ) ), nand( Z, X ) ), nand( Z, X ) ) ), Y ), nand( X, nand( nand(
% 0.72/1.10 Y, X ), X ) ) ) ] )
% 0.72/1.10 , clause( 51, [ =( nand( nand( nand( Z, X ), nand( nand( nand( X, nand(
% 0.72/1.10 nand( Y, X ), X ) ), nand( Z, X ) ), nand( Z, X ) ) ), Y ), nand( X, nand(
% 0.72/1.10 nand( Y, X ), X ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 eqswap(
% 0.72/1.10 clause( 53, [ =( Y, nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ) ) ] )
% 0.72/1.10 , clause( 0, [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ), Y ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 58, [ =( X, nand( nand( nand( Y, nand( Z, T ) ), nand( nand( X,
% 0.72/1.10 nand( Y, nand( Z, T ) ) ), nand( Y, nand( Z, T ) ) ) ), nand( X, Y ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 0, [ =( nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y, nand(
% 0.72/1.10 Z, X ) ) ), Y ) ] )
% 0.72/1.10 , 0, clause( 53, [ =( Y, nand( nand( X, nand( nand( Y, X ), X ) ), nand( Y
% 0.72/1.10 , nand( Z, X ) ) ) ) ] )
% 0.72/1.10 , 0, 24, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 substitution( 1, [ :=( X, nand( Y, nand( Z, T ) ) ), :=( Y, X ), :=( Z,
% 0.72/1.10 nand( T, nand( nand( Y, T ), T ) ) )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 eqswap(
% 0.72/1.10 clause( 61, [ =( nand( nand( nand( Y, nand( Z, T ) ), nand( nand( X, nand(
% 0.72/1.10 Y, nand( Z, T ) ) ), nand( Y, nand( Z, T ) ) ) ), nand( X, Y ) ), X ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 58, [ =( X, nand( nand( nand( Y, nand( Z, T ) ), nand( nand( X,
% 0.72/1.10 nand( Y, nand( Z, T ) ) ), nand( Y, nand( Z, T ) ) ) ), nand( X, Y ) ) )
% 0.72/1.10 ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 4, [ =( nand( nand( nand( Y, nand( Z, X ) ), nand( nand( T, nand( Y
% 0.72/1.10 , nand( Z, X ) ) ), nand( Y, nand( Z, X ) ) ) ), nand( T, Y ) ), T ) ] )
% 0.72/1.10 , clause( 61, [ =( nand( nand( nand( Y, nand( Z, T ) ), nand( nand( X, nand(
% 0.72/1.10 Y, nand( Z, T ) ) ), nand( Y, nand( Z, T ) ) ) ), nand( X, Y ) ), X ) ]
% 0.72/1.10 )
% 0.72/1.10 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 ==> clause( 6, [ =( nand( nand( Y, nand( nand( T, Y ), Y ) ), nand( T, nand(
% 0.72/1.10 X, nand( nand( Y, X ), X ) ) ) ), T ) ] )
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 0.72/1.10
% 0.72/1.10 Bliksem ended
%------------------------------------------------------------------------------