%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS015-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 : Sun Jul 17 02:41:57 EDT 2022
% Result : Unsatisfiable 0.74s 1.12s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS015-1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n027.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 : Tue Jun 7 06:00:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.74/1.12 *** allocated 10000 integers for termspace/termends
% 0.74/1.12 *** allocated 10000 integers for clauses
% 0.74/1.12 *** allocated 10000 integers for justifications
% 0.74/1.12 Bliksem 1.12
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Automatic Strategy Selection
% 0.74/1.12
% 0.74/1.12 Clauses:
% 0.74/1.12 [
% 0.74/1.12 [ e( exist ) ],
% 0.74/1.12 [ t2least( X ), ~( c( X ) ) ],
% 0.74/1.12 [ c( X ), ~( t2least( X ) ) ],
% 0.74/1.12 [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ],
% 0.74/1.12 [ t( X, u1r1( X ) ), ~( t2least( X ) ) ],
% 0.74/1.12 [ t( X, u1r2( X ) ), ~( t2least( X ) ) ],
% 0.74/1.12 [ t2least( X ), equalish( Y, Z ), ~( t( X, Y ) ), ~( t( X, Z ) ) ],
% 0.74/1.12 [ t1most( X ), ~( d( X ) ) ],
% 0.74/1.12 [ d( X ), ~( t1most( X ) ) ],
% 0.74/1.12 [ equalish( X, Y ), ~( t1most( Z ) ), ~( t( Z, X ) ), ~( t( Z, Y ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ t1most( X ), ~( equalish( u3r2( X ), u3r1( X ) ) ) ],
% 0.74/1.12 [ t1most( X ), t( X, u3r1( X ) ) ],
% 0.74/1.12 [ t1most( X ), t( X, u3r2( X ) ) ],
% 0.74/1.12 [ r( X, u4r4( X ) ), ~( e( X ) ) ],
% 0.74/1.12 [ s( X, Y ), ~( e( X ) ), ~( r( X, Y ) ) ],
% 0.74/1.12 [ r( X, Y ), ~( e( X ) ), ~( s( X, Y ) ) ],
% 0.74/1.12 [ d( X ), ~( e( Y ) ), ~( s( Y, X ) ) ],
% 0.74/1.12 [ c( X ), ~( e( Y ) ), ~( r( Y, X ) ) ],
% 0.74/1.12 [ e( X ), s( X, u4r3( X ) ), r( X, u4r3( X ) ), ~( c( u4r1( X ) ) ), ~(
% 0.74/1.12 d( u4r2( X ) ) ), ~( r( X, Y ) ) ],
% 0.74/1.12 [ e( X ), ~( c( u4r1( X ) ) ), ~( d( u4r2( X ) ) ), ~( r( X, u4r3( X ) )
% 0.74/1.12 ), ~( s( X, u4r3( X ) ) ), ~( r( X, Y ) ) ],
% 0.74/1.12 [ e( X ), s( X, u4r2( X ) ), s( X, u4r3( X ) ), r( X, u4r3( X ) ), ~( c(
% 0.74/1.12 u4r1( X ) ) ), ~( r( X, Y ) ) ],
% 0.74/1.12 [ e( X ), s( X, u4r2( X ) ), ~( c( u4r1( X ) ) ), ~( r( X, u4r3( X ) ) )
% 0.74/1.12 , ~( s( X, u4r3( X ) ) ), ~( r( X, Y ) ) ],
% 0.74/1.12 [ e( X ), r( X, u4r1( X ) ), s( X, u4r3( X ) ), r( X, u4r3( X ) ), ~( d(
% 0.74/1.12 u4r2( X ) ) ), ~( r( X, Y ) ) ],
% 0.74/1.12 [ e( X ), r( X, u4r1( X ) ), ~( d( u4r2( X ) ) ), ~( r( X, u4r3( X ) ) )
% 0.74/1.12 , ~( s( X, u4r3( X ) ) ), ~( r( X, Y ) ) ],
% 0.74/1.12 [ e( X ), r( X, u4r1( X ) ), s( X, u4r2( X ) ), s( X, u4r3( X ) ), r( X
% 0.74/1.12 , u4r3( X ) ), ~( r( X, Y ) ) ],
% 0.74/1.12 [ e( X ), r( X, u4r1( X ) ), s( X, u4r2( X ) ), ~( r( X, u4r3( X ) ) ),
% 0.74/1.12 ~( s( X, u4r3( X ) ) ), ~( r( X, Y ) ) ]
% 0.74/1.12 ] .
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 percentage equality = 0.000000, percentage horn = 0.615385
% 0.74/1.12 This a non-horn, non-equality problem
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Options Used:
% 0.74/1.12
% 0.74/1.12 useres = 1
% 0.74/1.12 useparamod = 0
% 0.74/1.12 useeqrefl = 0
% 0.74/1.12 useeqfact = 0
% 0.74/1.12 usefactor = 1
% 0.74/1.12 usesimpsplitting = 0
% 0.74/1.12 usesimpdemod = 0
% 0.74/1.12 usesimpres = 3
% 0.74/1.12
% 0.74/1.12 resimpinuse = 1000
% 0.74/1.12 resimpclauses = 20000
% 0.74/1.12 substype = standard
% 0.74/1.12 backwardsubs = 1
% 0.74/1.12 selectoldest = 5
% 0.74/1.12
% 0.74/1.12 litorderings [0] = split
% 0.74/1.12 litorderings [1] = liftord
% 0.74/1.12
% 0.74/1.12 termordering = none
% 0.74/1.12
% 0.74/1.12 litapriori = 1
% 0.74/1.12 termapriori = 0
% 0.74/1.12 litaposteriori = 0
% 0.74/1.12 termaposteriori = 0
% 0.74/1.12 demodaposteriori = 0
% 0.74/1.12 ordereqreflfact = 0
% 0.74/1.12
% 0.74/1.12 litselect = none
% 0.74/1.12
% 0.74/1.12 maxweight = 15
% 0.74/1.12 maxdepth = 30000
% 0.74/1.12 maxlength = 115
% 0.74/1.12 maxnrvars = 195
% 0.74/1.12 excuselevel = 1
% 0.74/1.12 increasemaxweight = 1
% 0.74/1.12
% 0.74/1.12 maxselected = 10000000
% 0.74/1.12 maxnrclauses = 10000000
% 0.74/1.12
% 0.74/1.12 showgenerated = 0
% 0.74/1.12 showkept = 0
% 0.74/1.12 showselected = 0
% 0.74/1.12 showdeleted = 0
% 0.74/1.12 showresimp = 1
% 0.74/1.12 showstatus = 2000
% 0.74/1.12
% 0.74/1.12 prologoutput = 1
% 0.74/1.12 nrgoals = 5000000
% 0.74/1.12 totalproof = 1
% 0.74/1.12
% 0.74/1.12 Symbols occurring in the translation:
% 0.74/1.12
% 0.74/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.12 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.74/1.12 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.74/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.12 exist [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.74/1.12 e [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.12 t2least [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.74/1.12 c [43, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.74/1.12 u1r2 [44, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.12 u1r1 [45, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.74/1.12 equalish [46, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.74/1.12 t [47, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.74/1.12 t1most [50, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.74/1.12 d [51, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.12 u3r2 [52, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.12 u3r1 [53, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.74/1.12 u4r4 [54, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.74/1.12 r [55, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.74/1.12 s [57, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.74/1.12 u4r3 [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.74/1.12 u4r1 [59, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.74/1.12 u4r2 [60, 1] (w:1, o:29, a:1, s:1, b:0).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Starting Search:
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Bliksems!, er is een bewijs:
% 0.74/1.12 % SZS status Unsatisfiable
% 0.74/1.12 % SZS output start Refutation
% 0.74/1.12
% 0.74/1.12 clause( 0, [ e( exist ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 1, [ t2least( X ), ~( c( X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 3, [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 4, [ ~( t2least( X ) ), t( X, u1r1( X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 5, [ ~( t2least( X ) ), t( X, u1r2( X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 7, [ ~( d( X ) ), t1most( X ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 9, [ ~( t1most( Z ) ), equalish( X, Y ), ~( t( Z, Y ) ), ~( t( Z, X
% 0.74/1.12 ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 13, [ ~( e( X ) ), r( X, u4r4( X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 14, [ ~( e( X ) ), s( X, Y ), ~( r( X, Y ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 16, [ d( X ), ~( e( Y ) ), ~( s( Y, X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 17, [ ~( e( Y ) ), c( X ), ~( r( Y, X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 32, [ ~( e( X ) ), c( u4r4( X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 33, [ ~( e( X ) ), t2least( u4r4( X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 39, [ ~( e( X ) ), s( X, u4r4( X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 40, [ ~( t1most( X ) ), equalish( Y, u1r1( X ) ), ~( t2least( X ) )
% 0.74/1.12 , ~( t( X, Y ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 44, [ d( u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 50, [ ~( t1most( X ) ), ~( t2least( X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 51, [ ~( e( X ) ), ~( t1most( u4r4( X ) ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 52, [ ~( e( X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 53, [] )
% 0.74/1.12 .
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 % SZS output end Refutation
% 0.74/1.12 found a proof!
% 0.74/1.12
% 0.74/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.12
% 0.74/1.12 initialclauses(
% 0.74/1.12 [ clause( 55, [ e( exist ) ] )
% 0.74/1.12 , clause( 56, [ t2least( X ), ~( c( X ) ) ] )
% 0.74/1.12 , clause( 57, [ c( X ), ~( t2least( X ) ) ] )
% 0.74/1.12 , clause( 58, [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ]
% 0.74/1.12 )
% 0.74/1.12 , clause( 59, [ t( X, u1r1( X ) ), ~( t2least( X ) ) ] )
% 0.74/1.12 , clause( 60, [ t( X, u1r2( X ) ), ~( t2least( X ) ) ] )
% 0.74/1.12 , clause( 61, [ t2least( X ), equalish( Y, Z ), ~( t( X, Y ) ), ~( t( X, Z
% 0.74/1.12 ) ) ] )
% 0.74/1.12 , clause( 62, [ t1most( X ), ~( d( X ) ) ] )
% 0.74/1.12 , clause( 63, [ d( X ), ~( t1most( X ) ) ] )
% 0.74/1.12 , clause( 64, [ equalish( X, Y ), ~( t1most( Z ) ), ~( t( Z, X ) ), ~( t( Z
% 0.74/1.12 , Y ) ) ] )
% 0.74/1.12 , clause( 65, [ t1most( X ), ~( equalish( u3r2( X ), u3r1( X ) ) ) ] )
% 0.74/1.12 , clause( 66, [ t1most( X ), t( X, u3r1( X ) ) ] )
% 0.74/1.12 , clause( 67, [ t1most( X ), t( X, u3r2( X ) ) ] )
% 0.74/1.12 , clause( 68, [ r( X, u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , clause( 69, [ s( X, Y ), ~( e( X ) ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , clause( 70, [ r( X, Y ), ~( e( X ) ), ~( s( X, Y ) ) ] )
% 0.74/1.12 , clause( 71, [ d( X ), ~( e( Y ) ), ~( s( Y, X ) ) ] )
% 0.74/1.12 , clause( 72, [ c( X ), ~( e( Y ) ), ~( r( Y, X ) ) ] )
% 0.74/1.12 , clause( 73, [ e( X ), s( X, u4r3( X ) ), r( X, u4r3( X ) ), ~( c( u4r1( X
% 0.74/1.12 ) ) ), ~( d( u4r2( X ) ) ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , clause( 74, [ e( X ), ~( c( u4r1( X ) ) ), ~( d( u4r2( X ) ) ), ~( r( X,
% 0.74/1.12 u4r3( X ) ) ), ~( s( X, u4r3( X ) ) ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , clause( 75, [ e( X ), s( X, u4r2( X ) ), s( X, u4r3( X ) ), r( X, u4r3( X
% 0.74/1.12 ) ), ~( c( u4r1( X ) ) ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , clause( 76, [ e( X ), s( X, u4r2( X ) ), ~( c( u4r1( X ) ) ), ~( r( X,
% 0.74/1.12 u4r3( X ) ) ), ~( s( X, u4r3( X ) ) ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , clause( 77, [ e( X ), r( X, u4r1( X ) ), s( X, u4r3( X ) ), r( X, u4r3( X
% 0.74/1.12 ) ), ~( d( u4r2( X ) ) ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , clause( 78, [ e( X ), r( X, u4r1( X ) ), ~( d( u4r2( X ) ) ), ~( r( X,
% 0.74/1.12 u4r3( X ) ) ), ~( s( X, u4r3( X ) ) ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , clause( 79, [ e( X ), r( X, u4r1( X ) ), s( X, u4r2( X ) ), s( X, u4r3( X
% 0.74/1.12 ) ), r( X, u4r3( X ) ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , clause( 80, [ e( X ), r( X, u4r1( X ) ), s( X, u4r2( X ) ), ~( r( X, u4r3(
% 0.74/1.12 X ) ) ), ~( s( X, u4r3( X ) ) ), ~( r( X, Y ) ) ] )
% 0.74/1.12 ] ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 0, [ e( exist ) ] )
% 0.74/1.12 , clause( 55, [ e( exist ) ] )
% 0.74/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 1, [ t2least( X ), ~( c( X ) ) ] )
% 0.74/1.12 , clause( 56, [ t2least( X ), ~( c( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.12 1 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 3, [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ] )
% 0.74/1.12 , clause( 58, [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ]
% 0.74/1.12 )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.12 1 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 4, [ ~( t2least( X ) ), t( X, u1r1( X ) ) ] )
% 0.74/1.12 , clause( 59, [ t( X, u1r1( X ) ), ~( t2least( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.74/1.12 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 5, [ ~( t2least( X ) ), t( X, u1r2( X ) ) ] )
% 0.74/1.12 , clause( 60, [ t( X, u1r2( X ) ), ~( t2least( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.74/1.12 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 7, [ ~( d( X ) ), t1most( X ) ] )
% 0.74/1.12 , clause( 62, [ t1most( X ), ~( d( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.74/1.12 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 9, [ ~( t1most( Z ) ), equalish( X, Y ), ~( t( Z, Y ) ), ~( t( Z, X
% 0.74/1.12 ) ) ] )
% 0.74/1.12 , clause( 64, [ equalish( X, Y ), ~( t1most( Z ) ), ~( t( Z, X ) ), ~( t( Z
% 0.74/1.12 , Y ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.74/1.12 ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 13, [ ~( e( X ) ), r( X, u4r4( X ) ) ] )
% 0.74/1.12 , clause( 68, [ r( X, u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.74/1.12 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 14, [ ~( e( X ) ), s( X, Y ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , clause( 69, [ s( X, Y ), ~( e( X ) ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.12 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 16, [ d( X ), ~( e( Y ) ), ~( s( Y, X ) ) ] )
% 0.74/1.12 , clause( 71, [ d( X ), ~( e( Y ) ), ~( s( Y, X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 17, [ ~( e( Y ) ), c( X ), ~( r( Y, X ) ) ] )
% 0.74/1.12 , clause( 72, [ c( X ), ~( e( Y ) ), ~( r( Y, X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.12 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 92, [ ~( e( X ) ), c( u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , clause( 17, [ ~( e( Y ) ), c( X ), ~( r( Y, X ) ) ] )
% 0.74/1.12 , 2, clause( 13, [ ~( e( X ) ), r( X, u4r4( X ) ) ] )
% 0.74/1.12 , 1, substitution( 0, [ :=( X, u4r4( X ) ), :=( Y, X )] ), substitution( 1
% 0.74/1.12 , [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 factor(
% 0.74/1.12 clause( 93, [ ~( e( X ) ), c( u4r4( X ) ) ] )
% 0.74/1.12 , clause( 92, [ ~( e( X ) ), c( u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 32, [ ~( e( X ) ), c( u4r4( X ) ) ] )
% 0.74/1.12 , clause( 93, [ ~( e( X ) ), c( u4r4( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.12 1 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 94, [ t2least( u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , clause( 1, [ t2least( X ), ~( c( X ) ) ] )
% 0.74/1.12 , 1, clause( 32, [ ~( e( X ) ), c( u4r4( X ) ) ] )
% 0.74/1.12 , 1, substitution( 0, [ :=( X, u4r4( X ) )] ), substitution( 1, [ :=( X, X
% 0.74/1.12 )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 33, [ ~( e( X ) ), t2least( u4r4( X ) ) ] )
% 0.74/1.12 , clause( 94, [ t2least( u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.74/1.12 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 95, [ ~( e( X ) ), s( X, u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , clause( 14, [ ~( e( X ) ), s( X, Y ), ~( r( X, Y ) ) ] )
% 0.74/1.12 , 2, clause( 13, [ ~( e( X ) ), r( X, u4r4( X ) ) ] )
% 0.74/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, u4r4( X ) )] ), substitution( 1
% 0.74/1.12 , [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 factor(
% 0.74/1.12 clause( 96, [ ~( e( X ) ), s( X, u4r4( X ) ) ] )
% 0.74/1.12 , clause( 95, [ ~( e( X ) ), s( X, u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 39, [ ~( e( X ) ), s( X, u4r4( X ) ) ] )
% 0.74/1.12 , clause( 96, [ ~( e( X ) ), s( X, u4r4( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.12 1 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 97, [ ~( t1most( X ) ), equalish( Y, u1r1( X ) ), ~( t( X, Y ) ),
% 0.74/1.12 ~( t2least( X ) ) ] )
% 0.74/1.12 , clause( 9, [ ~( t1most( Z ) ), equalish( X, Y ), ~( t( Z, Y ) ), ~( t( Z
% 0.74/1.12 , X ) ) ] )
% 0.74/1.12 , 2, clause( 4, [ ~( t2least( X ) ), t( X, u1r1( X ) ) ] )
% 0.74/1.12 , 1, substitution( 0, [ :=( X, Y ), :=( Y, u1r1( X ) ), :=( Z, X )] ),
% 0.74/1.12 substitution( 1, [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 40, [ ~( t1most( X ) ), equalish( Y, u1r1( X ) ), ~( t2least( X ) )
% 0.74/1.12 , ~( t( X, Y ) ) ] )
% 0.74/1.12 , clause( 97, [ ~( t1most( X ) ), equalish( Y, u1r1( X ) ), ~( t( X, Y ) )
% 0.74/1.12 , ~( t2least( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 99, [ d( u4r4( X ) ), ~( e( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , clause( 16, [ d( X ), ~( e( Y ) ), ~( s( Y, X ) ) ] )
% 0.74/1.12 , 2, clause( 39, [ ~( e( X ) ), s( X, u4r4( X ) ) ] )
% 0.74/1.12 , 1, substitution( 0, [ :=( X, u4r4( X ) ), :=( Y, X )] ), substitution( 1
% 0.74/1.12 , [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 factor(
% 0.74/1.12 clause( 100, [ d( u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , clause( 99, [ d( u4r4( X ) ), ~( e( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 44, [ d( u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , clause( 100, [ d( u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.12 1 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 101, [ ~( t1most( X ) ), equalish( u1r2( X ), u1r1( X ) ), ~(
% 0.74/1.12 t2least( X ) ), ~( t2least( X ) ) ] )
% 0.74/1.12 , clause( 40, [ ~( t1most( X ) ), equalish( Y, u1r1( X ) ), ~( t2least( X )
% 0.74/1.12 ), ~( t( X, Y ) ) ] )
% 0.74/1.12 , 3, clause( 5, [ ~( t2least( X ) ), t( X, u1r2( X ) ) ] )
% 0.74/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, u1r2( X ) )] ), substitution( 1
% 0.74/1.12 , [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 103, [ ~( t2least( X ) ), ~( t1most( X ) ), ~( t2least( X ) ), ~(
% 0.74/1.12 t2least( X ) ) ] )
% 0.74/1.12 , clause( 3, [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ]
% 0.74/1.12 )
% 0.74/1.12 , 1, clause( 101, [ ~( t1most( X ) ), equalish( u1r2( X ), u1r1( X ) ), ~(
% 0.74/1.12 t2least( X ) ), ~( t2least( X ) ) ] )
% 0.74/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.74/1.12 ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 factor(
% 0.74/1.12 clause( 104, [ ~( t2least( X ) ), ~( t1most( X ) ), ~( t2least( X ) ) ] )
% 0.74/1.12 , clause( 103, [ ~( t2least( X ) ), ~( t1most( X ) ), ~( t2least( X ) ),
% 0.74/1.12 ~( t2least( X ) ) ] )
% 0.74/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 factor(
% 0.74/1.12 clause( 105, [ ~( t2least( X ) ), ~( t1most( X ) ) ] )
% 0.74/1.12 , clause( 104, [ ~( t2least( X ) ), ~( t1most( X ) ), ~( t2least( X ) ) ]
% 0.74/1.12 )
% 0.74/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 50, [ ~( t1most( X ) ), ~( t2least( X ) ) ] )
% 0.74/1.12 , clause( 105, [ ~( t2least( X ) ), ~( t1most( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.74/1.12 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 106, [ ~( t1most( u4r4( X ) ) ), ~( e( X ) ) ] )
% 0.74/1.12 , clause( 50, [ ~( t1most( X ) ), ~( t2least( X ) ) ] )
% 0.74/1.12 , 1, clause( 33, [ ~( e( X ) ), t2least( u4r4( X ) ) ] )
% 0.74/1.12 , 1, substitution( 0, [ :=( X, u4r4( X ) )] ), substitution( 1, [ :=( X, X
% 0.74/1.12 )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 51, [ ~( e( X ) ), ~( t1most( u4r4( X ) ) ) ] )
% 0.74/1.12 , clause( 106, [ ~( t1most( u4r4( X ) ) ), ~( e( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.74/1.12 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 107, [ ~( e( X ) ), ~( d( u4r4( X ) ) ) ] )
% 0.74/1.12 , clause( 51, [ ~( e( X ) ), ~( t1most( u4r4( X ) ) ) ] )
% 0.74/1.12 , 1, clause( 7, [ ~( d( X ) ), t1most( X ) ] )
% 0.74/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, u4r4( X )
% 0.74/1.12 )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 108, [ ~( e( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , clause( 107, [ ~( e( X ) ), ~( d( u4r4( X ) ) ) ] )
% 0.74/1.12 , 1, clause( 44, [ d( u4r4( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.74/1.12 ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 factor(
% 0.74/1.12 clause( 109, [ ~( e( X ) ) ] )
% 0.74/1.12 , clause( 108, [ ~( e( X ) ), ~( e( X ) ) ] )
% 0.74/1.12 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 52, [ ~( e( X ) ) ] )
% 0.74/1.12 , clause( 109, [ ~( e( X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 110, [] )
% 0.74/1.12 , clause( 52, [ ~( e( X ) ) ] )
% 0.74/1.12 , 0, clause( 0, [ e( exist ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, exist )] ), substitution( 1, [] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 53, [] )
% 0.74/1.12 , clause( 110, [] )
% 0.74/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 end.
% 0.74/1.12
% 0.74/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.12
% 0.74/1.12 Memory use:
% 0.74/1.12
% 0.74/1.12 space for terms: 1500
% 0.74/1.12 space for clauses: 2713
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 clauses generated: 80
% 0.74/1.12 clauses kept: 54
% 0.74/1.12 clauses selected: 35
% 0.74/1.12 clauses deleted: 2
% 0.74/1.12 clauses inuse deleted: 0
% 0.74/1.12
% 0.74/1.12 subsentry: 47
% 0.74/1.12 literals s-matched: 33
% 0.74/1.12 literals matched: 20
% 0.74/1.12 full subsumption: 0
% 0.74/1.12
% 0.74/1.12 checksum: -818954682
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Bliksem ended
%------------------------------------------------------------------------------