%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HWC001-1 : TPTP v8.1.0. Bugfixed v1.1.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 : Sat Jul 16 13:06:42 EDT 2022
% Result : Unsatisfiable 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWC001-1 : TPTP v8.1.0. Bugfixed v1.1.1.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 9 12:53:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.07 *** allocated 10000 integers for termspace/termends
% 0.43/1.07 *** allocated 10000 integers for clauses
% 0.43/1.07 *** allocated 10000 integers for justifications
% 0.43/1.07 Bliksem 1.12
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Automatic Strategy Selection
% 0.43/1.07
% 0.43/1.07 Clauses:
% 0.43/1.07 [
% 0.43/1.07 [ =( nand( X, Y ), not( and( X, Y ) ) ) ],
% 0.43/1.07 [ =( and( X, n0 ), n0 ) ],
% 0.43/1.07 [ =( and( X, n1 ), X ) ],
% 0.43/1.07 [ =( not( n0 ), n1 ) ],
% 0.43/1.07 [ =( not( n1 ), n0 ) ],
% 0.43/1.07 [ ~( output( X, Y, Z, T ) ), ~( output( U, W, V0, V1 ) ), output( nand(
% 0.43/1.07 X, U ), nand( Y, W ), nand( Z, V0 ), nand( T, V1 ) ) ],
% 0.43/1.07 [ output( n0, n0, n1, n1 ) ],
% 0.43/1.07 [ output( n0, n1, n0, n1 ) ],
% 0.43/1.07 [ ~( output( n0, n1, n1, n1 ) ) ]
% 0.43/1.07 ] .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 percentage equality = 0.454545, percentage horn = 1.000000
% 0.43/1.07 This is a problem with some equality
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Options Used:
% 0.43/1.07
% 0.43/1.07 useres = 1
% 0.43/1.07 useparamod = 1
% 0.43/1.07 useeqrefl = 1
% 0.43/1.07 useeqfact = 1
% 0.43/1.07 usefactor = 1
% 0.43/1.07 usesimpsplitting = 0
% 0.43/1.07 usesimpdemod = 5
% 0.43/1.07 usesimpres = 3
% 0.43/1.07
% 0.43/1.07 resimpinuse = 1000
% 0.43/1.07 resimpclauses = 20000
% 0.43/1.07 substype = eqrewr
% 0.43/1.07 backwardsubs = 1
% 0.43/1.07 selectoldest = 5
% 0.43/1.07
% 0.43/1.07 litorderings [0] = split
% 0.43/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.07
% 0.43/1.07 termordering = kbo
% 0.43/1.07
% 0.43/1.07 litapriori = 0
% 0.43/1.07 termapriori = 1
% 0.43/1.07 litaposteriori = 0
% 0.43/1.07 termaposteriori = 0
% 0.43/1.07 demodaposteriori = 0
% 0.43/1.07 ordereqreflfact = 0
% 0.43/1.07
% 0.43/1.07 litselect = negord
% 0.43/1.07
% 0.43/1.07 maxweight = 15
% 0.43/1.07 maxdepth = 30000
% 0.43/1.07 maxlength = 115
% 0.43/1.07 maxnrvars = 195
% 0.43/1.07 excuselevel = 1
% 0.43/1.07 increasemaxweight = 1
% 0.43/1.07
% 0.43/1.07 maxselected = 10000000
% 0.43/1.07 maxnrclauses = 10000000
% 0.43/1.07
% 0.43/1.07 showgenerated = 0
% 0.43/1.07 showkept = 0
% 0.43/1.07 showselected = 0
% 0.43/1.07 showdeleted = 0
% 0.43/1.07 showresimp = 1
% 0.43/1.07 showstatus = 2000
% 0.43/1.07
% 0.43/1.07 prologoutput = 1
% 0.43/1.07 nrgoals = 5000000
% 0.43/1.07 totalproof = 1
% 0.43/1.07
% 0.43/1.07 Symbols occurring in the translation:
% 0.43/1.07
% 0.43/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.07 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.43/1.07 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.43/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 nand [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.43/1.07 and [42, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.43/1.07 not [43, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.07 n0 [44, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.43/1.07 n1 [45, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.43/1.07 output [50, 4] (w:1, o:54, a:1, s:1, b:0).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Starting Search:
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksems!, er is een bewijs:
% 0.43/1.07 % SZS status Unsatisfiable
% 0.43/1.07 % SZS output start Refutation
% 0.43/1.07
% 0.43/1.07 clause( 0, [ =( not( and( X, Y ) ), nand( X, Y ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 1, [ =( and( X, n0 ), n0 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 2, [ =( and( X, n1 ), X ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 3, [ =( not( n0 ), n1 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 5, [ ~( output( X, Y, Z, T ) ), ~( output( U, W, V0, V1 ) ), output(
% 0.43/1.07 nand( X, U ), nand( Y, W ), nand( Z, V0 ), nand( T, V1 ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 6, [ output( n0, n0, n1, n1 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 7, [ output( n0, n1, n0, n1 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 8, [ ~( output( n0, n1, n1, n1 ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 9, [ ~( output( X, Y, Z, T ) ), output( nand( X, X ), nand( Y, Y )
% 0.43/1.07 , nand( Z, Z ), nand( T, T ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 15, [ ~( output( X, Y, Z, T ) ), output( n1, n1, not( Z ), not( T )
% 0.43/1.07 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 20, [ output( n1, n1, n1, n0 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 25, [ ~( output( X, Y, n1, Z ) ), output( n1, n1, n0, not( Z ) ) ]
% 0.43/1.07 )
% 0.43/1.07 .
% 0.43/1.07 clause( 30, [ output( n1, n1, n0, n1 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 32, [ output( n0, n0, n0, n1 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 34, [ output( n1, n0, n1, n0 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 35, [ ~( output( X, Y, Z, T ) ), output( n1, n1, n1, not( T ) ) ]
% 0.43/1.07 )
% 0.43/1.07 .
% 0.43/1.07 clause( 36, [ ~( output( X, Y, Z, T ) ), output( not( X ), n1, not( Z ), n1
% 0.43/1.07 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 37, [ output( n0, n0, n1, n0 ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 56, [ ~( output( X, Y, n1, Z ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 57, [ ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 58, [] )
% 0.43/1.07 .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 % SZS output end Refutation
% 0.43/1.07 found a proof!
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 initialclauses(
% 0.43/1.07 [ clause( 60, [ =( nand( X, Y ), not( and( X, Y ) ) ) ] )
% 0.43/1.07 , clause( 61, [ =( and( X, n0 ), n0 ) ] )
% 0.43/1.07 , clause( 62, [ =( and( X, n1 ), X ) ] )
% 0.43/1.07 , clause( 63, [ =( not( n0 ), n1 ) ] )
% 0.43/1.07 , clause( 64, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , clause( 65, [ ~( output( X, Y, Z, T ) ), ~( output( U, W, V0, V1 ) ),
% 0.43/1.07 output( nand( X, U ), nand( Y, W ), nand( Z, V0 ), nand( T, V1 ) ) ] )
% 0.43/1.07 , clause( 66, [ output( n0, n0, n1, n1 ) ] )
% 0.43/1.07 , clause( 67, [ output( n0, n1, n0, n1 ) ] )
% 0.43/1.07 , clause( 68, [ ~( output( n0, n1, n1, n1 ) ) ] )
% 0.43/1.07 ] ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 69, [ =( not( and( X, Y ) ), nand( X, Y ) ) ] )
% 0.43/1.07 , clause( 60, [ =( nand( X, Y ), not( and( X, Y ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 0, [ =( not( and( X, Y ) ), nand( X, Y ) ) ] )
% 0.43/1.07 , clause( 69, [ =( not( and( X, Y ) ), nand( X, Y ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 1, [ =( and( X, n0 ), n0 ) ] )
% 0.43/1.07 , clause( 61, [ =( and( X, n0 ), n0 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 2, [ =( and( X, n1 ), X ) ] )
% 0.43/1.07 , clause( 62, [ =( and( X, n1 ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 3, [ =( not( n0 ), n1 ) ] )
% 0.43/1.07 , clause( 63, [ =( not( n0 ), n1 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , clause( 64, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 5, [ ~( output( X, Y, Z, T ) ), ~( output( U, W, V0, V1 ) ), output(
% 0.43/1.07 nand( X, U ), nand( Y, W ), nand( Z, V0 ), nand( T, V1 ) ) ] )
% 0.43/1.07 , clause( 65, [ ~( output( X, Y, Z, T ) ), ~( output( U, W, V0, V1 ) ),
% 0.43/1.07 output( nand( X, U ), nand( Y, W ), nand( Z, V0 ), nand( T, V1 ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.07 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.43/1.07 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 6, [ output( n0, n0, n1, n1 ) ] )
% 0.43/1.07 , clause( 66, [ output( n0, n0, n1, n1 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 7, [ output( n0, n1, n0, n1 ) ] )
% 0.43/1.07 , clause( 67, [ output( n0, n1, n0, n1 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 8, [ ~( output( n0, n1, n1, n1 ) ) ] )
% 0.43/1.07 , clause( 68, [ ~( output( n0, n1, n1, n1 ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 factor(
% 0.43/1.07 clause( 108, [ ~( output( X, Y, Z, T ) ), output( nand( X, X ), nand( Y, Y
% 0.43/1.07 ), nand( Z, Z ), nand( T, T ) ) ] )
% 0.43/1.07 , clause( 5, [ ~( output( X, Y, Z, T ) ), ~( output( U, W, V0, V1 ) ),
% 0.43/1.07 output( nand( X, U ), nand( Y, W ), nand( Z, V0 ), nand( T, V1 ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.43/1.07 :=( U, X ), :=( W, Y ), :=( V0, Z ), :=( V1, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 9, [ ~( output( X, Y, Z, T ) ), output( nand( X, X ), nand( Y, Y )
% 0.43/1.07 , nand( Z, Z ), nand( T, T ) ) ] )
% 0.43/1.07 , clause( 108, [ ~( output( X, Y, Z, T ) ), output( nand( X, X ), nand( Y,
% 0.43/1.07 Y ), nand( Z, Z ), nand( T, T ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 110, [ =( nand( X, Y ), not( and( X, Y ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( not( and( X, Y ) ), nand( X, Y ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 111, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , clause( 2, [ =( and( X, n1 ), X ) ] )
% 0.43/1.07 , 0, clause( 110, [ =( nand( X, Y ), not( and( X, Y ) ) ) ] )
% 0.43/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, n1 )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , clause( 111, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 114, [ =( nand( X, Y ), not( and( X, Y ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( not( and( X, Y ) ), nand( X, Y ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 116, [ =( nand( X, n0 ), not( n0 ) ) ] )
% 0.43/1.07 , clause( 1, [ =( and( X, n0 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 114, [ =( nand( X, Y ), not( and( X, Y ) ) ) ] )
% 0.43/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, n0 )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 117, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , clause( 3, [ =( not( n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 116, [ =( nand( X, n0 ), not( n0 ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , clause( 117, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 124, [ ~( output( X, Y, Z, T ) ), output( nand( X, n0 ), nand( Y,
% 0.43/1.07 n0 ), nand( Z, n1 ), nand( T, n1 ) ) ] )
% 0.43/1.07 , clause( 5, [ ~( output( X, Y, Z, T ) ), ~( output( U, W, V0, V1 ) ),
% 0.43/1.07 output( nand( X, U ), nand( Y, W ), nand( Z, V0 ), nand( T, V1 ) ) ] )
% 0.43/1.07 , 1, clause( 6, [ output( n0, n0, n1, n1 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.43/1.07 :=( U, n0 ), :=( W, n0 ), :=( V0, n1 ), :=( V1, n1 )] ), substitution( 1
% 0.43/1.07 , [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 126, [ output( nand( X, n0 ), n1, nand( Z, n1 ), nand( T, n1 ) ),
% 0.43/1.07 ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 124, [ ~( output( X, Y, Z, T ) ), output( nand( X, n0 ), nand(
% 0.43/1.07 Y, n0 ), nand( Z, n1 ), nand( T, n1 ) ) ] )
% 0.43/1.07 , 1, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 128, [ output( n1, n1, nand( Y, n1 ), nand( Z, n1 ) ), ~( output( X
% 0.43/1.07 , T, Y, Z ) ) ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 126, [ output( nand( X, n0 ), n1, nand( Z, n1 ), nand( T, n1 )
% 0.43/1.07 ), ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, T ), :=( Z, Y ), :=( T, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 130, [ output( n1, n1, nand( X, n1 ), not( Y ) ), ~( output( Z, T,
% 0.43/1.07 X, Y ) ) ] )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 128, [ output( n1, n1, nand( Y, n1 ), nand( Z, n1 ) ), ~(
% 0.43/1.07 output( X, T, Y, Z ) ) ] )
% 0.43/1.07 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Z ),
% 0.43/1.07 :=( Y, X ), :=( Z, Y ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 132, [ output( n1, n1, not( X ), not( Y ) ), ~( output( Z, T, X, Y
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 130, [ output( n1, n1, nand( X, n1 ), not( Y ) ), ~( output( Z
% 0.43/1.07 , T, X, Y ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 15, [ ~( output( X, Y, Z, T ) ), output( n1, n1, not( Z ), not( T )
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 132, [ output( n1, n1, not( X ), not( Y ) ), ~( output( Z, T, X,
% 0.43/1.07 Y ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 135, [ output( n1, n1, not( n0 ), not( n1 ) ) ] )
% 0.43/1.07 , clause( 15, [ ~( output( X, Y, Z, T ) ), output( n1, n1, not( Z ), not( T
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , 0, clause( 7, [ output( n0, n1, n0, n1 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, n0 ), :=( Y, n1 ), :=( Z, n0 ), :=( T, n1 )] )
% 0.43/1.07 , substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 136, [ output( n1, n1, n1, not( n1 ) ) ] )
% 0.43/1.07 , clause( 3, [ =( not( n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 135, [ output( n1, n1, not( n0 ), not( n1 ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 137, [ output( n1, n1, n1, n0 ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 136, [ output( n1, n1, n1, not( n1 ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 20, [ output( n1, n1, n1, n0 ) ] )
% 0.43/1.07 , clause( 137, [ output( n1, n1, n1, n0 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 139, [ output( n1, n1, n0, not( X ) ), ~( output( Y, Z, n1, X ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 15, [ ~( output( X, Y, Z, T ) ), output( n1, n1, not( Z ), not(
% 0.43/1.07 T ) ) ] )
% 0.43/1.07 , 1, 3, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ),
% 0.43/1.07 :=( Z, n1 ), :=( T, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 25, [ ~( output( X, Y, n1, Z ) ), output( n1, n1, n0, not( Z ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 139, [ output( n1, n1, n0, not( X ) ), ~( output( Y, Z, n1, X ) )
% 0.43/1.07 ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 143, [ output( n1, n1, not( n1 ), not( n0 ) ) ] )
% 0.43/1.07 , clause( 15, [ ~( output( X, Y, Z, T ) ), output( n1, n1, not( Z ), not( T
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , 0, clause( 20, [ output( n1, n1, n1, n0 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, n1 ), :=( Y, n1 ), :=( Z, n1 ), :=( T, n0 )] )
% 0.43/1.07 , substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 144, [ output( n1, n1, n0, not( n0 ) ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 143, [ output( n1, n1, not( n1 ), not( n0 ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 145, [ output( n1, n1, n0, n1 ) ] )
% 0.43/1.07 , clause( 3, [ =( not( n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 144, [ output( n1, n1, n0, not( n0 ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 30, [ output( n1, n1, n0, n1 ) ] )
% 0.43/1.07 , clause( 145, [ output( n1, n1, n0, n1 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 149, [ output( nand( n1, n1 ), nand( n1, n1 ), nand( n1, n1 ), nand(
% 0.43/1.07 n0, n0 ) ) ] )
% 0.43/1.07 , clause( 9, [ ~( output( X, Y, Z, T ) ), output( nand( X, X ), nand( Y, Y
% 0.43/1.07 ), nand( Z, Z ), nand( T, T ) ) ] )
% 0.43/1.07 , 0, clause( 20, [ output( n1, n1, n1, n0 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, n1 ), :=( Y, n1 ), :=( Z, n1 ), :=( T, n0 )] )
% 0.43/1.07 , substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 152, [ output( nand( n1, n1 ), nand( n1, n1 ), not( n1 ), nand( n0
% 0.43/1.07 , n0 ) ) ] )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 149, [ output( nand( n1, n1 ), nand( n1, n1 ), nand( n1, n1 )
% 0.43/1.07 , nand( n0, n0 ) ) ] )
% 0.43/1.07 , 0, 7, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 154, [ output( nand( n1, n1 ), not( n1 ), not( n1 ), nand( n0, n0 )
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 152, [ output( nand( n1, n1 ), nand( n1, n1 ), not( n1 ), nand(
% 0.43/1.07 n0, n0 ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 155, [ output( not( n1 ), not( n1 ), not( n1 ), nand( n0, n0 ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 154, [ output( nand( n1, n1 ), not( n1 ), not( n1 ), nand( n0
% 0.43/1.07 , n0 ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 167, [ output( not( n1 ), not( n1 ), n0, nand( n0, n0 ) ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 155, [ output( not( n1 ), not( n1 ), not( n1 ), nand( n0, n0 )
% 0.43/1.07 ) ] )
% 0.43/1.07 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 169, [ output( not( n1 ), n0, n0, nand( n0, n0 ) ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 167, [ output( not( n1 ), not( n1 ), n0, nand( n0, n0 ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 170, [ output( n0, n0, n0, nand( n0, n0 ) ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 169, [ output( not( n1 ), n0, n0, nand( n0, n0 ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 174, [ output( n0, n0, n0, n1 ) ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 170, [ output( n0, n0, n0, nand( n0, n0 ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 32, [ output( n0, n0, n0, n1 ) ] )
% 0.43/1.07 , clause( 174, [ output( n0, n0, n0, n1 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 178, [ output( nand( n0, n0 ), nand( n1, n1 ), nand( n0, n0 ), nand(
% 0.43/1.07 n1, n1 ) ) ] )
% 0.43/1.07 , clause( 9, [ ~( output( X, Y, Z, T ) ), output( nand( X, X ), nand( Y, Y
% 0.43/1.07 ), nand( Z, Z ), nand( T, T ) ) ] )
% 0.43/1.07 , 0, clause( 7, [ output( n0, n1, n0, n1 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, n0 ), :=( Y, n1 ), :=( Z, n0 ), :=( T, n1 )] )
% 0.43/1.07 , substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 180, [ output( nand( n0, n0 ), nand( n1, n1 ), n1, nand( n1, n1 ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 178, [ output( nand( n0, n0 ), nand( n1, n1 ), nand( n0, n0 )
% 0.43/1.07 , nand( n1, n1 ) ) ] )
% 0.43/1.07 , 0, 7, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 181, [ output( n1, nand( n1, n1 ), n1, nand( n1, n1 ) ) ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 180, [ output( nand( n0, n0 ), nand( n1, n1 ), n1, nand( n1,
% 0.43/1.07 n1 ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 191, [ output( n1, nand( n1, n1 ), n1, not( n1 ) ) ] )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 181, [ output( n1, nand( n1, n1 ), n1, nand( n1, n1 ) ) ] )
% 0.43/1.07 , 0, 6, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 192, [ output( n1, not( n1 ), n1, not( n1 ) ) ] )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 191, [ output( n1, nand( n1, n1 ), n1, not( n1 ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 195, [ output( n1, not( n1 ), n1, n0 ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 192, [ output( n1, not( n1 ), n1, not( n1 ) ) ] )
% 0.43/1.07 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 196, [ output( n1, n0, n1, n0 ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 195, [ output( n1, not( n1 ), n1, n0 ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 34, [ output( n1, n0, n1, n0 ) ] )
% 0.43/1.07 , clause( 196, [ output( n1, n0, n1, n0 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 202, [ ~( output( X, Y, Z, T ) ), output( nand( X, n0 ), nand( Y,
% 0.43/1.07 n0 ), nand( Z, n0 ), nand( T, n1 ) ) ] )
% 0.43/1.07 , clause( 5, [ ~( output( X, Y, Z, T ) ), ~( output( U, W, V0, V1 ) ),
% 0.43/1.07 output( nand( X, U ), nand( Y, W ), nand( Z, V0 ), nand( T, V1 ) ) ] )
% 0.43/1.07 , 1, clause( 32, [ output( n0, n0, n0, n1 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.43/1.07 :=( U, n0 ), :=( W, n0 ), :=( V0, n0 ), :=( V1, n1 )] ), substitution( 1
% 0.43/1.07 , [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 205, [ output( nand( X, n0 ), nand( Y, n0 ), n1, nand( T, n1 ) ),
% 0.43/1.07 ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 202, [ ~( output( X, Y, Z, T ) ), output( nand( X, n0 ), nand(
% 0.43/1.07 Y, n0 ), nand( Z, n0 ), nand( T, n1 ) ) ] )
% 0.43/1.07 , 1, 7, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 211, [ output( nand( X, n0 ), n1, n1, nand( Z, n1 ) ), ~( output( X
% 0.43/1.07 , Y, T, Z ) ) ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 205, [ output( nand( X, n0 ), nand( Y, n0 ), n1, nand( T, n1 )
% 0.43/1.07 ), ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, T ), :=( T, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 213, [ output( n1, n1, n1, nand( Y, n1 ) ), ~( output( X, Z, T, Y )
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 211, [ output( nand( X, n0 ), n1, n1, nand( Z, n1 ) ), ~(
% 0.43/1.07 output( X, Y, T, Z ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Z ), :=( Z, Y ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 214, [ output( n1, n1, n1, not( X ) ), ~( output( Y, Z, T, X ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 213, [ output( n1, n1, n1, nand( Y, n1 ) ), ~( output( X, Z, T
% 0.43/1.07 , Y ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.43/1.07 :=( Y, X ), :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 35, [ ~( output( X, Y, Z, T ) ), output( n1, n1, n1, not( T ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 214, [ output( n1, n1, n1, not( X ) ), ~( output( Y, Z, T, X ) )
% 0.43/1.07 ] )
% 0.43/1.07 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 220, [ ~( output( X, Y, Z, T ) ), output( nand( X, n1 ), nand( Y,
% 0.43/1.07 n0 ), nand( Z, n1 ), nand( T, n0 ) ) ] )
% 0.43/1.07 , clause( 5, [ ~( output( X, Y, Z, T ) ), ~( output( U, W, V0, V1 ) ),
% 0.43/1.07 output( nand( X, U ), nand( Y, W ), nand( Z, V0 ), nand( T, V1 ) ) ] )
% 0.43/1.07 , 1, clause( 34, [ output( n1, n0, n1, n0 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.43/1.07 :=( U, n1 ), :=( W, n0 ), :=( V0, n1 ), :=( V1, n0 )] ), substitution( 1
% 0.43/1.07 , [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 222, [ output( nand( X, n1 ), nand( Y, n0 ), not( Z ), nand( T, n0
% 0.43/1.07 ) ), ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 220, [ ~( output( X, Y, Z, T ) ), output( nand( X, n1 ), nand(
% 0.43/1.07 Y, n0 ), nand( Z, n1 ), nand( T, n0 ) ) ] )
% 0.43/1.07 , 1, 7, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 225, [ output( nand( X, n1 ), nand( Y, n0 ), not( Z ), n1 ), ~(
% 0.43/1.07 output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 222, [ output( nand( X, n1 ), nand( Y, n0 ), not( Z ), nand( T
% 0.43/1.07 , n0 ) ), ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , 0, 9, substitution( 0, [ :=( X, T )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 227, [ output( not( X ), nand( Y, n0 ), not( Z ), n1 ), ~( output(
% 0.43/1.07 X, Y, Z, T ) ) ] )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 225, [ output( nand( X, n1 ), nand( Y, n0 ), not( Z ), n1 ),
% 0.43/1.07 ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 228, [ output( not( X ), n1, not( Z ), n1 ), ~( output( X, Y, Z, T
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 227, [ output( not( X ), nand( Y, n0 ), not( Z ), n1 ), ~(
% 0.43/1.07 output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 36, [ ~( output( X, Y, Z, T ) ), output( not( X ), n1, not( Z ), n1
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 228, [ output( not( X ), n1, not( Z ), n1 ), ~( output( X, Y, Z,
% 0.43/1.07 T ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 232, [ output( nand( n1, n1 ), nand( n1, n1 ), nand( n0, n0 ), nand(
% 0.43/1.07 n1, n1 ) ) ] )
% 0.43/1.07 , clause( 9, [ ~( output( X, Y, Z, T ) ), output( nand( X, X ), nand( Y, Y
% 0.43/1.07 ), nand( Z, Z ), nand( T, T ) ) ] )
% 0.43/1.07 , 0, clause( 30, [ output( n1, n1, n0, n1 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, n1 ), :=( Y, n1 ), :=( Z, n0 ), :=( T, n1 )] )
% 0.43/1.07 , substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 235, [ output( nand( n1, n1 ), nand( n1, n1 ), nand( n0, n0 ), not(
% 0.43/1.07 n1 ) ) ] )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 232, [ output( nand( n1, n1 ), nand( n1, n1 ), nand( n0, n0 )
% 0.43/1.07 , nand( n1, n1 ) ) ] )
% 0.43/1.07 , 0, 10, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 237, [ output( nand( n1, n1 ), not( n1 ), nand( n0, n0 ), not( n1 )
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 235, [ output( nand( n1, n1 ), nand( n1, n1 ), nand( n0, n0 )
% 0.43/1.07 , not( n1 ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 238, [ output( not( n1 ), not( n1 ), nand( n0, n0 ), not( n1 ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 10, [ =( nand( X, n1 ), not( X ) ) ] )
% 0.43/1.07 , 0, clause( 237, [ output( nand( n1, n1 ), not( n1 ), nand( n0, n0 ), not(
% 0.43/1.07 n1 ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 250, [ output( not( n1 ), not( n1 ), nand( n0, n0 ), n0 ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 238, [ output( not( n1 ), not( n1 ), nand( n0, n0 ), not( n1 )
% 0.43/1.07 ) ] )
% 0.43/1.07 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 252, [ output( not( n1 ), n0, nand( n0, n0 ), n0 ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 250, [ output( not( n1 ), not( n1 ), nand( n0, n0 ), n0 ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 253, [ output( n0, n0, nand( n0, n0 ), n0 ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 252, [ output( not( n1 ), n0, nand( n0, n0 ), n0 ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 257, [ output( n0, n0, n1, n0 ) ] )
% 0.43/1.07 , clause( 11, [ =( nand( X, n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 253, [ output( n0, n0, nand( n0, n0 ), n0 ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 37, [ output( n0, n0, n1, n0 ) ] )
% 0.43/1.07 , clause( 257, [ output( n0, n0, n1, n0 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 260, [ output( not( n1 ), n1, not( n0 ), n1 ), ~( output( Y, Z, n1
% 0.43/1.07 , X ) ) ] )
% 0.43/1.07 , clause( 36, [ ~( output( X, Y, Z, T ) ), output( not( X ), n1, not( Z ),
% 0.43/1.07 n1 ) ] )
% 0.43/1.07 , 0, clause( 25, [ ~( output( X, Y, n1, Z ) ), output( n1, n1, n0, not( Z )
% 0.43/1.07 ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, n1 ), :=( Y, n1 ), :=( Z, n0 ), :=( T, not(
% 0.43/1.07 X ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 261, [ output( n0, n1, not( n0 ), n1 ), ~( output( X, Y, n1, Z ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 260, [ output( not( n1 ), n1, not( n0 ), n1 ), ~( output( Y, Z
% 0.43/1.07 , n1, X ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, Z ), :=( Y, X ),
% 0.43/1.07 :=( Z, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 262, [ output( n0, n1, n1, n1 ), ~( output( X, Y, n1, Z ) ) ] )
% 0.43/1.07 , clause( 3, [ =( not( n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 261, [ output( n0, n1, not( n0 ), n1 ), ~( output( X, Y, n1, Z
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.43/1.07 :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 263, [ ~( output( X, Y, n1, Z ) ) ] )
% 0.43/1.07 , clause( 8, [ ~( output( n0, n1, n1, n1 ) ) ] )
% 0.43/1.07 , 0, clause( 262, [ output( n0, n1, n1, n1 ), ~( output( X, Y, n1, Z ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.43/1.07 Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 56, [ ~( output( X, Y, n1, Z ) ) ] )
% 0.43/1.07 , clause( 263, [ ~( output( X, Y, n1, Z ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 269, [ output( n1, n1, n1, not( n1 ) ), ~( output( X, Z, Y, T ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 35, [ ~( output( X, Y, Z, T ) ), output( n1, n1, n1, not( T ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, clause( 36, [ ~( output( X, Y, Z, T ) ), output( not( X ), n1, not( Z
% 0.43/1.07 ), n1 ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, not( X ) ), :=( Y, n1 ), :=( Z, not( Y ) ),
% 0.43/1.07 :=( T, n1 )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ),
% 0.43/1.07 :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 270, [ output( n1, n1, n1, n0 ), ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 269, [ output( n1, n1, n1, not( n1 ) ), ~( output( X, Z, Y, T
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Z ),
% 0.43/1.07 :=( Z, Y ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 271, [ ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , clause( 56, [ ~( output( X, Y, n1, Z ) ) ] )
% 0.43/1.07 , 0, clause( 270, [ output( n1, n1, n1, n0 ), ~( output( X, Y, Z, T ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, n1 ), :=( Y, n1 ), :=( Z, n0 )] ),
% 0.43/1.07 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 57, [ ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , clause( 271, [ ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 274, [ output( not( n0 ), n1, not( n1 ), n1 ) ] )
% 0.43/1.07 , clause( 36, [ ~( output( X, Y, Z, T ) ), output( not( X ), n1, not( Z ),
% 0.43/1.07 n1 ) ] )
% 0.43/1.07 , 0, clause( 37, [ output( n0, n0, n1, n0 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, n0 ), :=( Y, n0 ), :=( Z, n1 ), :=( T, n0 )] )
% 0.43/1.07 , substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 275, [ output( n1, n1, not( n1 ), n1 ) ] )
% 0.43/1.07 , clause( 3, [ =( not( n0 ), n1 ) ] )
% 0.43/1.07 , 0, clause( 274, [ output( not( n0 ), n1, not( n1 ), n1 ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 276, [ output( n1, n1, n0, n1 ) ] )
% 0.43/1.07 , clause( 4, [ =( not( n1 ), n0 ) ] )
% 0.43/1.07 , 0, clause( 275, [ output( n1, n1, not( n1 ), n1 ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 277, [] )
% 0.43/1.07 , clause( 57, [ ~( output( X, Y, Z, T ) ) ] )
% 0.43/1.07 , 0, clause( 276, [ output( n1, n1, n0, n1 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, n1 ), :=( Y, n1 ), :=( Z, n0 ), :=( T, n1 )] )
% 0.43/1.07 , substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 58, [] )
% 0.43/1.07 , clause( 277, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 888
% 0.43/1.07 space for clauses: 3943
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 356
% 0.43/1.07 clauses kept: 59
% 0.43/1.07 clauses selected: 28
% 0.43/1.07 clauses deleted: 2
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 836
% 0.43/1.07 literals s-matched: 343
% 0.43/1.07 literals matched: 343
% 0.43/1.07 full subsumption: 8
% 0.43/1.07
% 0.43/1.07 checksum: -2084621613
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------