TSTP Solution File: SYN669-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN669-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 02:53:48 EDT 2022
% Result : Unsatisfiable 0.43s 1.09s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN669-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jul 12 01:04:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.09 *** allocated 10000 integers for termspace/termends
% 0.43/1.09 *** allocated 10000 integers for clauses
% 0.43/1.09 *** allocated 10000 integers for justifications
% 0.43/1.09 Bliksem 1.12
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Automatic Strategy Selection
% 0.43/1.09
% 0.43/1.09 Clauses:
% 0.43/1.09 [
% 0.43/1.09 [ p22( c28 ) ],
% 0.43/1.09 [ p10( X, X ) ],
% 0.43/1.09 [ p7( X, X ) ],
% 0.43/1.09 [ p6( X, X ) ],
% 0.43/1.09 [ p3( X, X ) ],
% 0.43/1.09 [ p20( X, X ) ],
% 0.43/1.09 [ p2( X, X ) ],
% 0.43/1.09 [ p19( X, X ) ],
% 0.43/1.09 [ p14( X, X ) ],
% 0.43/1.09 [ p12( X, X ) ],
% 0.43/1.09 [ p10( c37, c34 ) ],
% 0.43/1.09 [ p25( c36, c33 ) ],
% 0.43/1.09 [ p25( c32, c36 ) ],
% 0.43/1.09 [ p25( c32, c33 ) ],
% 0.43/1.09 [ p7( f8( c29 ), c30 ) ],
% 0.43/1.09 [ p26( f21( c28, c35 ), c34 ) ],
% 0.43/1.09 [ p23( c28, f4( f5( X ) ), f4( X ) ) ],
% 0.43/1.09 [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ],
% 0.43/1.09 [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ],
% 0.43/1.09 [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ],
% 0.43/1.09 [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ],
% 0.43/1.09 [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.43/1.09 [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ],
% 0.43/1.09 [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.43/1.09 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.43/1.09 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.43/1.09 [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.43/1.09 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.43/1.09 [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ],
% 0.43/1.09 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.43/1.09 [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 0.43/1.09 [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 0.43/1.09 [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.43/1.09 [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T, X ) ) ],
% 0.43/1.09 [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( T, Y ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T, X ) ) ],
% 0.43/1.09 [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10( T, Y ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( f17( c31 )
% 0.43/1.09 ) ) ) ],
% 0.43/1.09 [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9( f17( c31 )
% 0.43/1.09 ) ) ) ],
% 0.43/1.09 [ p27( f11( f4( c33 ), c35 ), f11( f4( f16( c33, f9( f17( c31 ) ) ) ),
% 0.43/1.09 c35 ) ) ],
% 0.43/1.09 [ p25( f11( f4( c36 ), c37 ), f11( f4( f16( c36, f9( f17( c31 ) ) ) ),
% 0.43/1.09 c37 ) ) ],
% 0.43/1.09 [ ~( p2( f11( f4( f16( c32, f9( f17( c31 ) ) ) ), c34 ), f11( f4( c32 )
% 0.43/1.09 , c34 ) ) ) ],
% 0.43/1.09 [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~( p19( X, Z ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( X, Z ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c33 ) ),
% 0.43/1.09 ~( p25( c32, X ) ) ],
% 0.43/1.09 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c36 ) ),
% 0.43/1.09 ~( p25( c32, X ) ) ],
% 0.43/1.09 [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30, f13( X, Z ) )
% 0.43/1.09 , f13( Y, T ) ) ) ],
% 0.43/1.09 [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19( W, X ) ),
% 0.43/1.09 ~( p23( W, U, T ) ) ],
% 0.43/1.09 [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~( p24( f15( c30
% 0.43/1.09 , f13( X, Z ) ), f13( Y, T ) ) ) ],
% 0.43/1.09 [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( T ), Y ) ),
% 0.43/1.09 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ]
% 0.43/1.09 ] .
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 percentage equality = 0.000000, percentage horn = 0.962963
% 0.43/1.09 This is a near-Horn, non-equality problem
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Options Used:
% 0.43/1.09
% 0.43/1.09 useres = 1
% 0.43/1.09 useparamod = 0
% 0.43/1.09 useeqrefl = 0
% 0.43/1.09 useeqfact = 0
% 0.43/1.09 usefactor = 1
% 0.43/1.09 usesimpsplitting = 0
% 0.43/1.09 usesimpdemod = 0
% 0.43/1.09 usesimpres = 4
% 0.43/1.09
% 0.43/1.09 resimpinuse = 1000
% 0.43/1.09 resimpclauses = 20000
% 0.43/1.09 substype = standard
% 0.43/1.09 backwardsubs = 1
% 0.43/1.09 selectoldest = 5
% 0.43/1.09
% 0.43/1.09 litorderings [0] = split
% 0.43/1.09 litorderings [1] = liftord
% 0.43/1.09
% 0.43/1.09 termordering = none
% 0.43/1.09
% 0.43/1.09 litapriori = 1
% 0.43/1.09 termapriori = 0
% 0.43/1.09 litaposteriori = 0
% 0.43/1.09 termaposteriori = 0
% 0.43/1.09 demodaposteriori = 0
% 0.43/1.09 ordereqreflfact = 0
% 0.43/1.09
% 0.43/1.09 litselect = negative
% 0.43/1.09
% 0.43/1.09 maxweight = 30000
% 0.43/1.09 maxdepth = 30000
% 0.43/1.09 maxlength = 115
% 0.43/1.09 maxnrvars = 195
% 0.43/1.09 excuselevel = 0
% 0.43/1.09 increasemaxweight = 0
% 0.43/1.09
% 0.43/1.09 maxselected = 10000000
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09
% 0.43/1.09 showgenerated = 0
% 0.43/1.09 showkept = 0
% 0.43/1.09 showselected = 0
% 0.43/1.09 showdeleted = 0
% 0.43/1.09 showresimp = 1
% 0.43/1.09 showstatus = 2000
% 0.43/1.09
% 0.43/1.09 prologoutput = 1
% 0.43/1.09 nrgoals = 5000000
% 0.43/1.09 totalproof = 1
% 0.43/1.09
% 0.43/1.09 Symbols occurring in the translation:
% 0.43/1.09
% 0.43/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.09 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.43/1.09 ! [4, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.43/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.09 c28 [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.09 p22 [40, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.43/1.09 p10 [42, 2] (w:1, o:152, a:1, s:1, b:0),
% 0.43/1.09 p7 [44, 2] (w:1, o:154, a:1, s:1, b:0),
% 0.43/1.09 p6 [46, 2] (w:1, o:153, a:1, s:1, b:0),
% 0.43/1.09 p3 [48, 2] (w:1, o:164, a:1, s:1, b:0),
% 0.43/1.09 p20 [50, 2] (w:1, o:158, a:1, s:1, b:0),
% 0.43/1.09 p2 [52, 2] (w:1, o:159, a:1, s:1, b:0),
% 0.43/1.09 p19 [54, 2] (w:1, o:155, a:1, s:1, b:0),
% 0.43/1.09 p14 [56, 2] (w:1, o:156, a:1, s:1, b:0),
% 0.43/1.09 p12 [58, 2] (w:1, o:157, a:1, s:1, b:0),
% 0.43/1.09 c37 [59, 0] (w:1, o:97, a:1, s:1, b:0),
% 0.43/1.09 c34 [60, 0] (w:1, o:101, a:1, s:1, b:0),
% 0.43/1.09 c36 [61, 0] (w:1, o:96, a:1, s:1, b:0),
% 0.43/1.09 c33 [62, 0] (w:1, o:100, a:1, s:1, b:0),
% 0.43/1.09 p25 [63, 2] (w:1, o:161, a:1, s:1, b:0),
% 0.43/1.09 c32 [64, 0] (w:1, o:99, a:1, s:1, b:0),
% 0.43/1.09 c29 [65, 0] (w:1, o:94, a:1, s:1, b:0),
% 0.43/1.09 f8 [66, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.43/1.09 c30 [67, 0] (w:1, o:102, a:1, s:1, b:0),
% 0.43/1.09 c35 [68, 0] (w:1, o:95, a:1, s:1, b:0),
% 0.43/1.09 f21 [69, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.43/1.09 p26 [70, 2] (w:1, o:162, a:1, s:1, b:0),
% 0.43/1.09 f5 [72, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.43/1.09 f4 [73, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.43/1.09 p23 [74, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.43/1.09 c31 [76, 0] (w:1, o:98, a:1, s:1, b:0),
% 0.43/1.09 f17 [77, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.43/1.09 f9 [78, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.43/1.09 f18 [79, 2] (w:1, o:165, a:1, s:1, b:0),
% 0.43/1.09 p27 [112, 2] (w:1, o:163, a:1, s:1, b:0),
% 0.43/1.09 p24 [117, 2] (w:1, o:160, a:1, s:1, b:0),
% 0.43/1.09 f11 [128, 2] (w:1, o:166, a:1, s:1, b:0),
% 0.43/1.09 f16 [129, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.43/1.09 f13 [136, 2] (w:1, o:169, a:1, s:1, b:0),
% 0.43/1.09 f15 [141, 2] (w:1, o:167, a:1, s:1, b:0).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Bliksems!, er is een bewijs:
% 0.43/1.09 % SZS status Unsatisfiable
% 0.43/1.09 % SZS output start Refutation
% 0.43/1.09
% 0.43/1.09 clause( 6, [ p2( X, X ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 11, [ p25( c36, c33 ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 12, [ p25( c32, c36 ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 17, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 38, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9(
% 0.43/1.09 f17( c31 ) ) ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 48, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 0.43/1.09 , X ) ), ~( p25( X, c33 ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 74, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 84, [ p2( X, f18( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 0.43/1.09 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 285, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 356, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 858, [] )
% 0.43/1.09 .
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 % SZS output end Refutation
% 0.43/1.09 found a proof!
% 0.43/1.09
% 0.43/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.09
% 0.43/1.09 initialclauses(
% 0.43/1.09 [ clause( 860, [ p22( c28 ) ] )
% 0.43/1.09 , clause( 861, [ p10( X, X ) ] )
% 0.43/1.09 , clause( 862, [ p7( X, X ) ] )
% 0.43/1.09 , clause( 863, [ p6( X, X ) ] )
% 0.43/1.09 , clause( 864, [ p3( X, X ) ] )
% 0.43/1.09 , clause( 865, [ p20( X, X ) ] )
% 0.43/1.09 , clause( 866, [ p2( X, X ) ] )
% 0.43/1.09 , clause( 867, [ p19( X, X ) ] )
% 0.43/1.09 , clause( 868, [ p14( X, X ) ] )
% 0.43/1.09 , clause( 869, [ p12( X, X ) ] )
% 0.43/1.09 , clause( 870, [ p10( c37, c34 ) ] )
% 0.43/1.09 , clause( 871, [ p25( c36, c33 ) ] )
% 0.43/1.09 , clause( 872, [ p25( c32, c36 ) ] )
% 0.43/1.09 , clause( 873, [ p25( c32, c33 ) ] )
% 0.43/1.09 , clause( 874, [ p7( f8( c29 ), c30 ) ] )
% 0.43/1.09 , clause( 875, [ p26( f21( c28, c35 ), c34 ) ] )
% 0.43/1.09 , clause( 876, [ p23( c28, f4( f5( X ) ), f4( X ) ) ] )
% 0.43/1.09 , clause( 877, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.43/1.09 , clause( 878, [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ] )
% 0.43/1.09 , clause( 879, [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ] )
% 0.43/1.09 , clause( 880, [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ] )
% 0.43/1.09 , clause( 881, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.43/1.09 , clause( 882, [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ] )
% 0.43/1.09 , clause( 883, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 0.43/1.09 , clause( 884, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.43/1.09 , clause( 885, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.43/1.09 , clause( 886, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 0.43/1.09 , clause( 887, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.43/1.09 , clause( 888, [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ] )
% 0.43/1.09 , clause( 889, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.43/1.09 , clause( 890, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 0.43/1.09 , clause( 891, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 0.43/1.09 , clause( 892, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.43/1.09 , clause( 893, [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T,
% 0.43/1.09 X ) ) ] )
% 0.43/1.09 , clause( 894, [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( T
% 0.43/1.09 , Y ) ) ] )
% 0.43/1.09 , clause( 895, [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T,
% 0.43/1.09 X ) ) ] )
% 0.43/1.09 , clause( 896, [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10( T
% 0.43/1.09 , Y ) ) ] )
% 0.43/1.09 , clause( 897, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9(
% 0.43/1.09 f17( c31 ) ) ) ) ] )
% 0.43/1.09 , clause( 898, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9(
% 0.43/1.09 f17( c31 ) ) ) ) ] )
% 0.43/1.09 , clause( 899, [ p27( f11( f4( c33 ), c35 ), f11( f4( f16( c33, f9( f17(
% 0.43/1.09 c31 ) ) ) ), c35 ) ) ] )
% 0.43/1.09 , clause( 900, [ p25( f11( f4( c36 ), c37 ), f11( f4( f16( c36, f9( f17(
% 0.43/1.09 c31 ) ) ) ), c37 ) ) ] )
% 0.43/1.09 , clause( 901, [ ~( p2( f11( f4( f16( c32, f9( f17( c31 ) ) ) ), c34 ), f11(
% 0.43/1.09 f4( c32 ), c34 ) ) ) ] )
% 0.43/1.09 , clause( 902, [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~( p19(
% 0.43/1.09 X, Z ) ) ] )
% 0.43/1.09 , clause( 903, [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2(
% 0.43/1.09 Y, T ) ) ] )
% 0.43/1.09 , clause( 904, [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7(
% 0.43/1.09 X, Z ) ) ] )
% 0.43/1.09 , clause( 905, [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( X
% 0.43/1.09 , Z ) ) ] )
% 0.43/1.09 , clause( 906, [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 0.43/1.09 , T ) ) ] )
% 0.43/1.09 , clause( 907, [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 0.43/1.09 , T ) ) ] )
% 0.43/1.09 , clause( 908, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 0.43/1.09 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 0.43/1.09 , clause( 909, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 0.43/1.09 X, c36 ) ), ~( p25( c32, X ) ) ] )
% 0.43/1.09 , clause( 910, [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30,
% 0.43/1.09 f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 0.43/1.09 , clause( 911, [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19(
% 0.43/1.09 W, X ) ), ~( p23( W, U, T ) ) ] )
% 0.43/1.09 , clause( 912, [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~(
% 0.43/1.09 p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 0.43/1.09 , clause( 913, [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4(
% 0.43/1.09 T ), Y ) ), ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 0.43/1.09 ] ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 6, [ p2( X, X ) ] )
% 0.43/1.09 , clause( 866, [ p2( X, X ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 11, [ p25( c36, c33 ) ] )
% 0.43/1.09 , clause( 871, [ p25( c36, c33 ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 12, [ p25( c32, c36 ) ] )
% 0.43/1.09 , clause( 872, [ p25( c32, c36 ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 17, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.43/1.09 , clause( 877, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.43/1.09 , clause( 889, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 38, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9(
% 0.43/1.09 f17( c31 ) ) ) ) ] )
% 0.43/1.09 , clause( 898, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9(
% 0.43/1.09 f17( c31 ) ) ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 48, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 0.43/1.09 , X ) ), ~( p25( X, c33 ) ) ] )
% 0.43/1.09 , clause( 908, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 0.43/1.09 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 945, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.43/1.09 , clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.43/1.09 , 2, clause( 6, [ p2( X, X ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.43/1.09 substitution( 1, [ :=( X, X )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 74, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.43/1.09 , clause( 945, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.43/1.09 ), ==>( 1, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 947, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f18( f11( f4(
% 0.43/1.09 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 0.43/1.09 , clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.43/1.09 , 2, clause( 38, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ),
% 0.43/1.09 f9( f17( c31 ) ) ) ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, f18( f11( f4( c36 ), c34 ), f9(
% 0.43/1.09 f17( c31 ) ) ) ), :=( Z, f11( f4( c32 ), c34 ) )] ), substitution( 1, [] )
% 0.43/1.09 ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 84, [ p2( X, f18( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 0.43/1.09 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 0.43/1.09 , clause( 947, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f18( f11( f4(
% 0.43/1.09 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.09 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 948, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 0.43/1.09 c32, c36 ) ) ] )
% 0.43/1.09 , clause( 48, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 0.43/1.09 c32, X ) ), ~( p25( X, c33 ) ) ] )
% 0.43/1.09 , 2, clause( 11, [ p25( c36, c33 ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, c36 )] ), substitution( 1, [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 949, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.43/1.09 , clause( 948, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 0.43/1.09 c32, c36 ) ) ] )
% 0.43/1.09 , 1, clause( 12, [ p25( c32, c36 ) ] )
% 0.43/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 285, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.43/1.09 , clause( 949, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 950, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 0.43/1.09 , clause( 74, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.43/1.09 , 1, clause( 285, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) ), :=( Y, f11( f4( c32
% 0.43/1.09 ), c34 ) )] ), substitution( 1, [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 356, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 0.43/1.09 , clause( 950, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 951, [ p2( f11( f4( c36 ), c34 ), f18( f11( f4( c36 ), c34 ), f9(
% 0.43/1.09 f17( c31 ) ) ) ) ] )
% 0.43/1.09 , clause( 84, [ p2( X, f18( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ),
% 0.43/1.09 ~( p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 0.43/1.09 , 1, clause( 356, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 0.43/1.09 , [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 952, [] )
% 0.43/1.09 , clause( 17, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.43/1.09 , 0, clause( 951, [ p2( f11( f4( c36 ), c34 ), f18( f11( f4( c36 ), c34 ),
% 0.43/1.09 f9( f17( c31 ) ) ) ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 0.43/1.09 , [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 858, [] )
% 0.43/1.09 , clause( 952, [] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 end.
% 0.43/1.09
% 0.43/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.09
% 0.43/1.09 Memory use:
% 0.43/1.09
% 0.43/1.09 space for terms: 15439
% 0.43/1.09 space for clauses: 82976
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 clauses generated: 979
% 0.43/1.09 clauses kept: 859
% 0.43/1.09 clauses selected: 166
% 0.43/1.09 clauses deleted: 0
% 0.43/1.09 clauses inuse deleted: 0
% 0.43/1.09
% 0.43/1.09 subsentry: 879
% 0.43/1.09 literals s-matched: 463
% 0.43/1.09 literals matched: 463
% 0.43/1.09 full subsumption: 12
% 0.43/1.09
% 0.43/1.09 checksum: -669465242
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Bliksem ended
%------------------------------------------------------------------------------