%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN594-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 02:53:13 EDT 2022
% Result : Unsatisfiable 0.66s 1.05s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : SYN594-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 11 22:15:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.66/1.05 *** allocated 10000 integers for termspace/termends
% 0.66/1.05 *** allocated 10000 integers for clauses
% 0.66/1.05 *** allocated 10000 integers for justifications
% 0.66/1.05 Bliksem 1.12
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 Automatic Strategy Selection
% 0.66/1.05
% 0.66/1.05 Clauses:
% 0.66/1.05 [
% 0.66/1.05 [ p2( X, X ) ],
% 0.66/1.05 [ p7( X, X ) ],
% 0.66/1.05 [ ~( p2( c16, f3( c17 ) ) ) ],
% 0.66/1.05 [ p14( c18, f3( f4( f5( c17 ) ) ) ) ],
% 0.66/1.05 [ p15( X, Y ), ~( p14( X, Y ) ) ],
% 0.66/1.05 [ ~( p14( X, Y ) ), ~( p2( X, Y ) ) ],
% 0.66/1.05 [ p14( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ],
% 0.66/1.05 [ p7( f12( X ), f12( Y ) ), ~( p7( X, Y ) ) ],
% 0.66/1.05 [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ],
% 0.66/1.05 [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.66/1.05 [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.66/1.05 [ p7( f11( X ), f11( Y ) ), ~( p2( X, Y ) ) ],
% 0.66/1.05 [ p14( X, Y ), p2( X, Y ), ~( p15( X, Y ) ) ],
% 0.66/1.05 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.66/1.05 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.66/1.05 [ p15( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ), c19 ) ]
% 0.66/1.05 ,
% 0.66/1.05 [ ~( p2( c19, f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ) )
% 0.66/1.05 ) ],
% 0.66/1.05 [ p14( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p14( Z, T ) ) ],
% 0.66/1.05 [ p15( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p15( Z, T ) ) ],
% 0.66/1.05 [ p2( f13( X, Y ), f13( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.66/1.05 ,
% 0.66/1.05 [ p7( f9( X, Y ), f9( Z, T ) ), ~( p7( X, Z ) ), ~( p7( Y, T ) ) ],
% 0.66/1.05 [ p7( f8( X, Y ), f8( Z, T ) ), ~( p7( X, Z ) ), ~( p7( Y, T ) ) ],
% 0.66/1.05 [ p7( f10( X, Y ), f10( Z, T ) ), ~( p2( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.66/1.05 ,
% 0.66/1.05 [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 0.66/1.05 [ p7( c20, f8( f10( f12( f11( f3( f5( c17 ) ) ) ), c18 ), f8( f10( f11(
% 0.66/1.05 f3( f4( f5( c17 ) ) ) ), c21 ), f9( f11( c19 ), f10( f11( f3( f4( f5( c17
% 0.66/1.05 ) ) ) ), c22 ) ) ) ) ) ],
% 0.66/1.05 [ ~( p2( X, f3( c17 ) ) ), ~( p14( Y, f3( f4( f5( c17 ) ) ) ) ), ~( p15(
% 0.66/1.05 Z, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ), ~( p7( c20, f8( f10( f12( f11(
% 0.66/1.05 f3( f5( c17 ) ) ) ), Y ), f8( f10( f11( f3( f4( f5( c17 ) ) ) ), X ), f9(
% 0.66/1.05 f11( Z ), f10( f11( f3( f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ) ],
% 0.66/1.05 [ ~( p14( X, f3( f4( f5( c17 ) ) ) ) ), ~( p15( Y, f6( f3( f4( f5( c17 )
% 0.66/1.05 ) ), c16 ) ) ), ~( p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17
% 0.66/1.05 ) ) ) ), Y ) ), ~( p7( c20, f8( f10( f12( f11( f3( f5( c17 ) ) ) ), X )
% 0.66/1.05 , f8( f10( f11( f3( f4( f5( c17 ) ) ) ), Z ), f9( f11( Y ), f10( f11( f3(
% 0.66/1.05 f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ) ]
% 0.66/1.05 ] .
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 percentage equality = 0.000000, percentage horn = 0.962963
% 0.66/1.05 This is a near-Horn, non-equality problem
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 Options Used:
% 0.66/1.05
% 0.66/1.05 useres = 1
% 0.66/1.05 useparamod = 0
% 0.66/1.05 useeqrefl = 0
% 0.66/1.05 useeqfact = 0
% 0.66/1.05 usefactor = 1
% 0.66/1.05 usesimpsplitting = 0
% 0.66/1.05 usesimpdemod = 0
% 0.66/1.05 usesimpres = 4
% 0.66/1.05
% 0.66/1.05 resimpinuse = 1000
% 0.66/1.05 resimpclauses = 20000
% 0.66/1.05 substype = standard
% 0.66/1.05 backwardsubs = 1
% 0.66/1.05 selectoldest = 5
% 0.66/1.05
% 0.66/1.05 litorderings [0] = split
% 0.66/1.05 litorderings [1] = liftord
% 0.66/1.05
% 0.66/1.05 termordering = none
% 0.66/1.05
% 0.66/1.05 litapriori = 1
% 0.66/1.05 termapriori = 0
% 0.66/1.05 litaposteriori = 0
% 0.66/1.05 termaposteriori = 0
% 0.66/1.05 demodaposteriori = 0
% 0.66/1.05 ordereqreflfact = 0
% 0.66/1.05
% 0.66/1.05 litselect = negative
% 0.66/1.05
% 0.66/1.05 maxweight = 30000
% 0.66/1.05 maxdepth = 30000
% 0.66/1.05 maxlength = 115
% 0.66/1.05 maxnrvars = 195
% 0.66/1.05 excuselevel = 0
% 0.66/1.05 increasemaxweight = 0
% 0.66/1.05
% 0.66/1.05 maxselected = 10000000
% 0.66/1.05 maxnrclauses = 10000000
% 0.66/1.05
% 0.66/1.05 showgenerated = 0
% 0.66/1.05 showkept = 0
% 0.66/1.05 showselected = 0
% 0.66/1.05 showdeleted = 0
% 0.66/1.05 showresimp = 1
% 0.66/1.05 showstatus = 2000
% 0.66/1.05
% 0.66/1.05 prologoutput = 1
% 0.66/1.05 nrgoals = 5000000
% 0.66/1.05 totalproof = 1
% 0.66/1.05
% 0.66/1.05 Symbols occurring in the translation:
% 0.66/1.05
% 0.66/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.66/1.05 . [1, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.66/1.05 ! [4, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.66/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.05 p2 [40, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.66/1.05 p7 [42, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.66/1.05 c16 [43, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.66/1.05 c17 [44, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.66/1.05 f3 [45, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.66/1.05 c18 [46, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.66/1.05 f5 [47, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.66/1.05 f4 [48, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.66/1.05 p14 [49, 2] (w:1, o:100, a:1, s:1, b:0),
% 0.66/1.05 p15 [52, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.66/1.05 c19 [53, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.66/1.05 f6 [54, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.66/1.05 f12 [56, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.66/1.05 f11 [65, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.66/1.05 f13 [71, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.66/1.05 f9 [86, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.66/1.05 f8 [91, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.66/1.05 f10 [96, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.66/1.05 c20 [103, 0] (w:1, o:62, a:1, s:1, b:0),
% 0.66/1.05 c21 [104, 0] (w:1, o:63, a:1, s:1, b:0),
% 0.66/1.05 c22 [105, 0] (w:1, o:64, a:1, s:1, b:0).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 Starting Search:
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 Bliksems!, er is een bewijs:
% 0.66/1.05 % SZS status Unsatisfiable
% 0.66/1.05 % SZS output start Refutation
% 0.66/1.05
% 0.66/1.05 clause( 0, [ p2( X, X ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 3, [ p14( c18, f3( f4( f5( c17 ) ) ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 4, [ p15( X, Y ), ~( p14( X, Y ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 6, [ p14( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 12, [ p14( X, Y ), p2( X, Y ), ~( p15( X, Y ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 14, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 15, [ p15( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) )
% 0.66/1.05 , c19 ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 16, [ ~( p2( c19, f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17
% 0.66/1.05 ) ) ) ) ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 24, [ p7( c20, f8( f10( f12( f11( f3( f5( c17 ) ) ) ), c18 ), f8(
% 0.66/1.05 f10( f11( f3( f4( f5( c17 ) ) ) ), c21 ), f9( f11( c19 ), f10( f11( f3(
% 0.66/1.05 f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 26, [ ~( p14( X, f3( f4( f5( c17 ) ) ) ) ), ~( p14( f6( f3( f4( f5(
% 0.66/1.05 c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ), Y ) ), ~( p15( Y, f6( f3( f4(
% 0.66/1.05 f5( c17 ) ) ), c16 ) ) ), ~( p7( c20, f8( f10( f12( f11( f3( f5( c17 ) )
% 0.66/1.05 ) ), X ), f8( f10( f11( f3( f4( f5( c17 ) ) ) ), Z ), f9( f11( Y ), f10(
% 0.66/1.05 f11( f3( f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 36, [ p15( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 37, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 39, [ p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) )
% 0.66/1.05 , c19 ), p2( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ),
% 0.66/1.05 c19 ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 59, [ p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) )
% 0.66/1.05 , c19 ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 98, [ ~( p15( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ), ~( p14( f6(
% 0.66/1.05 f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ), c19 ) ) ] )
% 0.66/1.05 .
% 0.66/1.05 clause( 99, [] )
% 0.66/1.05 .
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 % SZS output end Refutation
% 0.66/1.05 found a proof!
% 0.66/1.05
% 0.66/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.05
% 0.66/1.05 initialclauses(
% 0.66/1.05 [ clause( 101, [ p2( X, X ) ] )
% 0.66/1.05 , clause( 102, [ p7( X, X ) ] )
% 0.66/1.05 , clause( 103, [ ~( p2( c16, f3( c17 ) ) ) ] )
% 0.66/1.05 , clause( 104, [ p14( c18, f3( f4( f5( c17 ) ) ) ) ] )
% 0.66/1.05 , clause( 105, [ p15( X, Y ), ~( p14( X, Y ) ) ] )
% 0.66/1.05 , clause( 106, [ ~( p14( X, Y ) ), ~( p2( X, Y ) ) ] )
% 0.66/1.05 , clause( 107, [ p14( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ] )
% 0.66/1.05 , clause( 108, [ p7( f12( X ), f12( Y ) ), ~( p7( X, Y ) ) ] )
% 0.66/1.05 , clause( 109, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.66/1.05 , clause( 110, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.66/1.05 , clause( 111, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 0.66/1.05 , clause( 112, [ p7( f11( X ), f11( Y ) ), ~( p2( X, Y ) ) ] )
% 0.66/1.05 , clause( 113, [ p14( X, Y ), p2( X, Y ), ~( p15( X, Y ) ) ] )
% 0.66/1.05 , clause( 114, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.66/1.05 , clause( 115, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.66/1.05 , clause( 116, [ p15( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) )
% 0.66/1.05 ) ), c19 ) ] )
% 0.66/1.05 , clause( 117, [ ~( p2( c19, f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5(
% 0.66/1.05 c17 ) ) ) ) ) ) ] )
% 0.66/1.05 , clause( 118, [ p14( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p14( Z,
% 0.66/1.05 T ) ) ] )
% 0.66/1.05 , clause( 119, [ p15( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p15( Z,
% 0.66/1.05 T ) ) ] )
% 0.66/1.05 , clause( 120, [ p2( f13( X, Y ), f13( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 0.66/1.05 , T ) ) ] )
% 0.66/1.05 , clause( 121, [ p7( f9( X, Y ), f9( Z, T ) ), ~( p7( X, Z ) ), ~( p7( Y, T
% 0.66/1.05 ) ) ] )
% 0.66/1.05 , clause( 122, [ p7( f8( X, Y ), f8( Z, T ) ), ~( p7( X, Z ) ), ~( p7( Y, T
% 0.66/1.05 ) ) ] )
% 0.66/1.05 , clause( 123, [ p7( f10( X, Y ), f10( Z, T ) ), ~( p2( Y, T ) ), ~( p7( X
% 0.66/1.05 , Z ) ) ] )
% 0.66/1.05 , clause( 124, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T
% 0.66/1.05 ) ) ] )
% 0.66/1.05 , clause( 125, [ p7( c20, f8( f10( f12( f11( f3( f5( c17 ) ) ) ), c18 ), f8(
% 0.66/1.05 f10( f11( f3( f4( f5( c17 ) ) ) ), c21 ), f9( f11( c19 ), f10( f11( f3(
% 0.66/1.05 f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ] )
% 0.66/1.05 , clause( 126, [ ~( p2( X, f3( c17 ) ) ), ~( p14( Y, f3( f4( f5( c17 ) ) )
% 0.66/1.05 ) ), ~( p15( Z, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ), ~( p7( c20, f8(
% 0.66/1.05 f10( f12( f11( f3( f5( c17 ) ) ) ), Y ), f8( f10( f11( f3( f4( f5( c17 )
% 0.66/1.05 ) ) ), X ), f9( f11( Z ), f10( f11( f3( f4( f5( c17 ) ) ) ), c22 ) ) ) )
% 0.66/1.05 ) ) ] )
% 0.66/1.05 , clause( 127, [ ~( p14( X, f3( f4( f5( c17 ) ) ) ) ), ~( p15( Y, f6( f3(
% 0.66/1.05 f4( f5( c17 ) ) ), c16 ) ) ), ~( p14( f6( f3( f4( f5( c17 ) ) ), f13( c16
% 0.66/1.05 , f3( f5( c17 ) ) ) ), Y ) ), ~( p7( c20, f8( f10( f12( f11( f3( f5( c17
% 0.66/1.05 ) ) ) ), X ), f8( f10( f11( f3( f4( f5( c17 ) ) ) ), Z ), f9( f11( Y ),
% 0.66/1.05 f10( f11( f3( f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ) ] )
% 0.66/1.05 ] ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 0, [ p2( X, X ) ] )
% 0.66/1.05 , clause( 101, [ p2( X, X ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 3, [ p14( c18, f3( f4( f5( c17 ) ) ) ) ] )
% 0.66/1.05 , clause( 104, [ p14( c18, f3( f4( f5( c17 ) ) ) ) ] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 4, [ p15( X, Y ), ~( p14( X, Y ) ) ] )
% 0.66/1.05 , clause( 105, [ p15( X, Y ), ~( p14( X, Y ) ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.05 ), ==>( 1, 1 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 6, [ p14( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ] )
% 0.66/1.05 , clause( 107, [ p14( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 12, [ p14( X, Y ), p2( X, Y ), ~( p15( X, Y ) ) ] )
% 0.66/1.05 , clause( 113, [ p14( X, Y ), p2( X, Y ), ~( p15( X, Y ) ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.05 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 14, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.66/1.05 , clause( 115, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 15, [ p15( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) )
% 0.66/1.05 , c19 ) ] )
% 0.66/1.05 , clause( 116, [ p15( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) )
% 0.66/1.05 ) ), c19 ) ] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 16, [ ~( p2( c19, f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17
% 0.66/1.05 ) ) ) ) ) ) ] )
% 0.66/1.05 , clause( 117, [ ~( p2( c19, f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5(
% 0.66/1.05 c17 ) ) ) ) ) ) ] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 24, [ p7( c20, f8( f10( f12( f11( f3( f5( c17 ) ) ) ), c18 ), f8(
% 0.66/1.05 f10( f11( f3( f4( f5( c17 ) ) ) ), c21 ), f9( f11( c19 ), f10( f11( f3(
% 0.66/1.05 f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ] )
% 0.66/1.05 , clause( 125, [ p7( c20, f8( f10( f12( f11( f3( f5( c17 ) ) ) ), c18 ), f8(
% 0.66/1.05 f10( f11( f3( f4( f5( c17 ) ) ) ), c21 ), f9( f11( c19 ), f10( f11( f3(
% 0.66/1.05 f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 26, [ ~( p14( X, f3( f4( f5( c17 ) ) ) ) ), ~( p14( f6( f3( f4( f5(
% 0.66/1.05 c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ), Y ) ), ~( p15( Y, f6( f3( f4(
% 0.66/1.05 f5( c17 ) ) ), c16 ) ) ), ~( p7( c20, f8( f10( f12( f11( f3( f5( c17 ) )
% 0.66/1.05 ) ), X ), f8( f10( f11( f3( f4( f5( c17 ) ) ) ), Z ), f9( f11( Y ), f10(
% 0.66/1.05 f11( f3( f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ) ] )
% 0.66/1.05 , clause( 127, [ ~( p14( X, f3( f4( f5( c17 ) ) ) ) ), ~( p15( Y, f6( f3(
% 0.66/1.05 f4( f5( c17 ) ) ), c16 ) ) ), ~( p14( f6( f3( f4( f5( c17 ) ) ), f13( c16
% 0.66/1.05 , f3( f5( c17 ) ) ) ), Y ) ), ~( p7( c20, f8( f10( f12( f11( f3( f5( c17
% 0.66/1.05 ) ) ) ), X ), f8( f10( f11( f3( f4( f5( c17 ) ) ) ), Z ), f9( f11( Y ),
% 0.66/1.05 f10( f11( f3( f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.05 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.66/1.05 ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 resolution(
% 0.66/1.05 clause( 151, [ p15( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ] )
% 0.66/1.05 , clause( 4, [ p15( X, Y ), ~( p14( X, Y ) ) ] )
% 0.66/1.05 , 1, clause( 6, [ p14( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, c19 ), :=( Y, f6( f3( f4( f5( c17 ) ) ), c16
% 0.66/1.05 ) )] ), substitution( 1, [] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 36, [ p15( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ] )
% 0.66/1.05 , clause( 151, [ p15( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 resolution(
% 0.66/1.05 clause( 153, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.66/1.05 , clause( 14, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.66/1.05 , 2, clause( 0, [ p2( X, X ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.66/1.05 substitution( 1, [ :=( X, X )] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 37, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.66/1.05 , clause( 153, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.66/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.66/1.05 ), ==>( 1, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 resolution(
% 0.66/1.05 clause( 154, [ p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) )
% 0.66/1.05 ), c19 ), p2( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ),
% 0.66/1.05 c19 ) ] )
% 0.66/1.05 , clause( 12, [ p14( X, Y ), p2( X, Y ), ~( p15( X, Y ) ) ] )
% 0.66/1.05 , 2, clause( 15, [ p15( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 )
% 0.66/1.05 ) ) ), c19 ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5(
% 0.66/1.05 c17 ) ) ) ) ), :=( Y, c19 )] ), substitution( 1, [] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 39, [ p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) )
% 0.66/1.05 , c19 ), p2( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ),
% 0.66/1.05 c19 ) ] )
% 0.66/1.05 , clause( 154, [ p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) )
% 0.66/1.05 ) ), c19 ), p2( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) )
% 0.66/1.05 , c19 ) ] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.66/1.05 ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 resolution(
% 0.66/1.05 clause( 155, [ p2( c19, f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 )
% 0.66/1.05 ) ) ) ), p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ),
% 0.66/1.05 c19 ) ] )
% 0.66/1.05 , clause( 37, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.66/1.05 , 1, clause( 39, [ p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 )
% 0.66/1.05 ) ) ), c19 ), p2( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) )
% 0.66/1.05 ), c19 ) ] )
% 0.66/1.05 , 1, substitution( 0, [ :=( X, f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5(
% 0.66/1.05 c17 ) ) ) ) ), :=( Y, c19 )] ), substitution( 1, [] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 resolution(
% 0.66/1.05 clause( 156, [ p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) )
% 0.66/1.05 ), c19 ) ] )
% 0.66/1.05 , clause( 16, [ ~( p2( c19, f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5(
% 0.66/1.05 c17 ) ) ) ) ) ) ] )
% 0.66/1.05 , 0, clause( 155, [ p2( c19, f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5(
% 0.66/1.05 c17 ) ) ) ) ), p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) )
% 0.66/1.05 ) ), c19 ) ] )
% 0.66/1.05 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 59, [ p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) )
% 0.66/1.05 , c19 ) ] )
% 0.66/1.05 , clause( 156, [ p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) )
% 0.66/1.05 ) ), c19 ) ] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 resolution(
% 0.66/1.05 clause( 157, [ ~( p14( c18, f3( f4( f5( c17 ) ) ) ) ), ~( p14( f6( f3( f4(
% 0.66/1.05 f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ), c19 ) ), ~( p15( c19, f6(
% 0.66/1.05 f3( f4( f5( c17 ) ) ), c16 ) ) ) ] )
% 0.66/1.05 , clause( 26, [ ~( p14( X, f3( f4( f5( c17 ) ) ) ) ), ~( p14( f6( f3( f4(
% 0.66/1.05 f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ), Y ) ), ~( p15( Y, f6( f3(
% 0.66/1.05 f4( f5( c17 ) ) ), c16 ) ) ), ~( p7( c20, f8( f10( f12( f11( f3( f5( c17
% 0.66/1.05 ) ) ) ), X ), f8( f10( f11( f3( f4( f5( c17 ) ) ) ), Z ), f9( f11( Y ),
% 0.66/1.05 f10( f11( f3( f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ) ] )
% 0.66/1.05 , 3, clause( 24, [ p7( c20, f8( f10( f12( f11( f3( f5( c17 ) ) ) ), c18 ),
% 0.66/1.05 f8( f10( f11( f3( f4( f5( c17 ) ) ) ), c21 ), f9( f11( c19 ), f10( f11(
% 0.66/1.05 f3( f4( f5( c17 ) ) ) ), c22 ) ) ) ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [ :=( X, c18 ), :=( Y, c19 ), :=( Z, c21 )] ),
% 0.66/1.05 substitution( 1, [] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 resolution(
% 0.66/1.05 clause( 158, [ ~( p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) )
% 0.66/1.05 ) ), c19 ) ), ~( p15( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ) ] )
% 0.66/1.05 , clause( 157, [ ~( p14( c18, f3( f4( f5( c17 ) ) ) ) ), ~( p14( f6( f3( f4(
% 0.66/1.05 f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ), c19 ) ), ~( p15( c19, f6(
% 0.66/1.05 f3( f4( f5( c17 ) ) ), c16 ) ) ) ] )
% 0.66/1.05 , 0, clause( 3, [ p14( c18, f3( f4( f5( c17 ) ) ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 98, [ ~( p15( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ), ~( p14( f6(
% 0.66/1.05 f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ), c19 ) ) ] )
% 0.66/1.05 , clause( 158, [ ~( p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 )
% 0.66/1.05 ) ) ), c19 ) ), ~( p15( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ) ] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.66/1.05 ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 resolution(
% 0.66/1.05 clause( 159, [ ~( p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) )
% 0.66/1.05 ) ), c19 ) ) ] )
% 0.66/1.05 , clause( 98, [ ~( p15( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ), ~( p14(
% 0.66/1.05 f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 ) ) ) ), c19 ) ) ] )
% 0.66/1.05 , 0, clause( 36, [ p15( c19, f6( f3( f4( f5( c17 ) ) ), c16 ) ) ] )
% 0.66/1.05 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 resolution(
% 0.66/1.05 clause( 160, [] )
% 0.66/1.05 , clause( 159, [ ~( p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 )
% 0.66/1.05 ) ) ), c19 ) ) ] )
% 0.66/1.05 , 0, clause( 59, [ p14( f6( f3( f4( f5( c17 ) ) ), f13( c16, f3( f5( c17 )
% 0.66/1.05 ) ) ), c19 ) ] )
% 0.66/1.05 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 subsumption(
% 0.66/1.05 clause( 99, [] )
% 0.66/1.05 , clause( 160, [] )
% 0.66/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 end.
% 0.66/1.05
% 0.66/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.05
% 0.66/1.05 Memory use:
% 0.66/1.05
% 0.66/1.05 space for terms: 3526
% 0.66/1.05 space for clauses: 16697
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 clauses generated: 134
% 0.66/1.05 clauses kept: 100
% 0.66/1.05 clauses selected: 49
% 0.66/1.05 clauses deleted: 8
% 0.66/1.05 clauses inuse deleted: 0
% 0.66/1.05
% 0.66/1.05 subsentry: 186
% 0.66/1.05 literals s-matched: 113
% 0.66/1.05 literals matched: 113
% 0.66/1.05 full subsumption: 28
% 0.66/1.05
% 0.66/1.05 checksum: 115605761
% 0.66/1.05
% 0.66/1.05
% 0.66/1.06 Bliksem ended
%------------------------------------------------------------------------------