TSTP Solution File: SYN665-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN665-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 02:53:46 EDT 2022
% Result : Unsatisfiable 1.28s 1.66s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN665-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n005.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 : Tue Jul 12 08:18:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.19/1.55 *** allocated 10000 integers for termspace/termends
% 1.19/1.55 *** allocated 10000 integers for clauses
% 1.19/1.55 *** allocated 10000 integers for justifications
% 1.19/1.55 Bliksem 1.12
% 1.19/1.55
% 1.19/1.55
% 1.19/1.55 Automatic Strategy Selection
% 1.19/1.55
% 1.19/1.55 Clauses:
% 1.19/1.55 [
% 1.19/1.55 [ p22( c28 ) ],
% 1.19/1.55 [ p10( X, X ) ],
% 1.19/1.55 [ p7( X, X ) ],
% 1.19/1.55 [ p6( X, X ) ],
% 1.19/1.55 [ p3( X, X ) ],
% 1.19/1.55 [ p20( X, X ) ],
% 1.19/1.55 [ p2( X, X ) ],
% 1.19/1.55 [ p19( X, X ) ],
% 1.19/1.55 [ p14( X, X ) ],
% 1.19/1.55 [ p12( X, X ) ],
% 1.19/1.55 [ p10( c35, c34 ) ],
% 1.19/1.55 [ p25( c36, c33 ) ],
% 1.19/1.55 [ p25( c32, c36 ) ],
% 1.19/1.55 [ p25( c32, c33 ) ],
% 1.19/1.55 [ p2( c32, f9( c31 ) ) ],
% 1.19/1.55 [ p7( f8( c29 ), c30 ) ],
% 1.19/1.55 [ p26( f21( c28, c37 ), c34 ) ],
% 1.19/1.55 [ p23( c28, f4( f5( X ) ), f4( X ) ) ],
% 1.19/1.55 [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ],
% 1.19/1.55 [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ],
% 1.19/1.55 [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ],
% 1.19/1.55 [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ],
% 1.19/1.55 [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 1.19/1.55 [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ],
% 1.19/1.55 [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 1.19/1.55 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 1.19/1.55 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 1.19/1.55 [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 1.19/1.55 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 1.19/1.55 [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ],
% 1.19/1.55 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 1.19/1.55 [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 1.19/1.55 [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 1.19/1.55 [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 1.19/1.55 [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T, X ) ) ],
% 1.19/1.55 [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( T, Y ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T, X ) ) ],
% 1.19/1.55 [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10( T, Y ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c33 ), c34 ), f9( f17( c31 )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9( f17( c31 )
% 1.19/1.55 ) ) ) ],
% 1.19/1.55 [ p27( f11( f4( c36 ), c37 ), f11( f4( f18( c36, f9( f17( c31 ) ) ) ),
% 1.19/1.55 c37 ) ) ],
% 1.19/1.55 [ p25( f11( f4( c33 ), c35 ), f11( f4( f18( c33, f9( f17( c31 ) ) ) ),
% 1.19/1.55 c35 ) ) ],
% 1.19/1.55 [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~( p19( X, Z ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( Y, T ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( X, Z ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( X, Z ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 1.19/1.55 ,
% 1.19/1.55 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c33 ) ),
% 1.19/1.55 ~( p25( c32, X ) ) ],
% 1.19/1.55 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c36 ) ),
% 1.19/1.55 ~( p25( c32, X ) ) ],
% 1.19/1.55 [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30, f13( X, Z ) )
% 1.19/1.55 , f13( Y, T ) ) ) ],
% 1.19/1.55 [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19( W, X ) ),
% 1.19/1.55 ~( p23( W, U, T ) ) ],
% 1.19/1.55 [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~( p24( f15( c30
% 1.19/1.55 , f13( X, Z ) ), f13( Y, T ) ) ) ],
% 1.19/1.55 [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( T ), Y ) ),
% 1.19/1.55 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ]
% 1.19/1.55 ] .
% 1.19/1.55
% 1.19/1.55
% 1.19/1.55 percentage equality = 0.000000, percentage horn = 0.962963
% 1.19/1.55 This is a near-Horn, non-equality problem
% 1.19/1.55
% 1.19/1.55
% 1.19/1.55 Options Used:
% 1.19/1.55
% 1.19/1.55 useres = 1
% 1.19/1.55 useparamod = 0
% 1.19/1.55 useeqrefl = 0
% 1.19/1.55 useeqfact = 0
% 1.19/1.55 usefactor = 1
% 1.19/1.55 usesimpsplitting = 0
% 1.19/1.55 usesimpdemod = 0
% 1.19/1.55 usesimpres = 4
% 1.19/1.55
% 1.19/1.55 resimpinuse = 1000
% 1.19/1.55 resimpclauses = 20000
% 1.19/1.55 substype = standard
% 1.19/1.55 backwardsubs = 1
% 1.19/1.55 selectoldest = 5
% 1.19/1.55
% 1.19/1.55 litorderings [0] = split
% 1.19/1.55 litorderings [1] = liftord
% 1.19/1.55
% 1.19/1.55 termordering = none
% 1.19/1.55
% 1.19/1.55 litapriori = 1
% 1.19/1.55 termapriori = 0
% 1.19/1.55 litaposteriori = 0
% 1.19/1.55 termaposteriori = 0
% 1.19/1.55 demodaposteriori = 0
% 1.19/1.55 ordereqreflfact = 0
% 1.19/1.55
% 1.19/1.55 litselect = negative
% 1.19/1.55
% 1.19/1.55 maxweight = 30000
% 1.19/1.55 maxdepth = 30000
% 1.19/1.55 maxlength = 115
% 1.19/1.55 maxnrvars = 195
% 1.19/1.55 excuselevel = 0
% 1.19/1.55 increasemaxweight = 0
% 1.19/1.55
% 1.19/1.55 maxselected = 10000000
% 1.19/1.55 maxnrclauses = 10000000
% 1.19/1.55
% 1.19/1.55 showgenerated = 0
% 1.28/1.66 showkept = 0
% 1.28/1.66 showselected = 0
% 1.28/1.66 showdeleted = 0
% 1.28/1.66 showresimp = 1
% 1.28/1.66 showstatus = 2000
% 1.28/1.66
% 1.28/1.66 prologoutput = 1
% 1.28/1.66 nrgoals = 5000000
% 1.28/1.66 totalproof = 1
% 1.28/1.66
% 1.28/1.66 Symbols occurring in the translation:
% 1.28/1.66
% 1.28/1.66 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.28/1.66 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.28/1.66 ! [4, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.28/1.66 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.28/1.66 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.28/1.66 c28 [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.28/1.66 p22 [40, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.28/1.66 p10 [42, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.28/1.66 p7 [44, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.28/1.66 p6 [46, 2] (w:1, o:153, a:1, s:1, b:0),
% 1.28/1.66 p3 [48, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.28/1.66 p20 [50, 2] (w:1, o:158, a:1, s:1, b:0),
% 1.28/1.66 p2 [52, 2] (w:1, o:159, a:1, s:1, b:0),
% 1.28/1.66 p19 [54, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.28/1.66 p14 [56, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.28/1.66 p12 [58, 2] (w:1, o:157, a:1, s:1, b:0),
% 1.28/1.66 c35 [59, 0] (w:1, o:100, a:1, s:1, b:0),
% 1.28/1.66 c34 [60, 0] (w:1, o:99, a:1, s:1, b:0),
% 1.28/1.66 c36 [61, 0] (w:1, o:101, a:1, s:1, b:0),
% 1.28/1.66 c33 [62, 0] (w:1, o:98, a:1, s:1, b:0),
% 1.28/1.66 p25 [63, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.28/1.66 c32 [64, 0] (w:1, o:97, a:1, s:1, b:0),
% 1.28/1.66 c31 [65, 0] (w:1, o:96, a:1, s:1, b:0),
% 1.28/1.66 f9 [66, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.28/1.66 c29 [67, 0] (w:1, o:94, a:1, s:1, b:0),
% 1.28/1.66 f8 [68, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.28/1.66 c30 [69, 0] (w:1, o:95, a:1, s:1, b:0),
% 1.28/1.66 c37 [70, 0] (w:1, o:102, a:1, s:1, b:0),
% 1.28/1.66 f21 [71, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.28/1.66 p26 [72, 2] (w:1, o:162, a:1, s:1, b:0),
% 1.28/1.66 f5 [74, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.28/1.66 f4 [75, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.28/1.66 p23 [76, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.28/1.66 f17 [78, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.28/1.66 f16 [79, 2] (w:1, o:166, a:1, s:1, b:0),
% 1.28/1.66 p27 [112, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.28/1.66 p24 [117, 2] (w:1, o:160, a:1, s:1, b:0),
% 1.28/1.66 f11 [128, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.28/1.66 f18 [129, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.28/1.66 f13 [136, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.28/1.66 f15 [141, 2] (w:1, o:165, a:1, s:1, b:0).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Starting Search:
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 2228
% 1.28/1.66 Kept: 2008
% 1.28/1.66 Inuse: 259
% 1.28/1.66 Deleted: 0
% 1.28/1.66 Deletedinuse: 0
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 4332
% 1.28/1.66 Kept: 4026
% 1.28/1.66 Inuse: 336
% 1.28/1.66 Deleted: 0
% 1.28/1.66 Deletedinuse: 0
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 6556
% 1.28/1.66 Kept: 6160
% 1.28/1.66 Inuse: 401
% 1.28/1.66 Deleted: 0
% 1.28/1.66 Deletedinuse: 0
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 8624
% 1.28/1.66 Kept: 8184
% 1.28/1.66 Inuse: 462
% 1.28/1.66 Deleted: 0
% 1.28/1.66 Deletedinuse: 0
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 10690
% 1.28/1.66 Kept: 10218
% 1.28/1.66 Inuse: 494
% 1.28/1.66 Deleted: 0
% 1.28/1.66 Deletedinuse: 0
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 12726
% 1.28/1.66 Kept: 12234
% 1.28/1.66 Inuse: 531
% 1.28/1.66 Deleted: 0
% 1.28/1.66 Deletedinuse: 0
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 14822
% 1.28/1.66 Kept: 14304
% 1.28/1.66 Inuse: 571
% 1.28/1.66 Deleted: 0
% 1.28/1.66 Deletedinuse: 0
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 16873
% 1.28/1.66 Kept: 16316
% 1.28/1.66 Inuse: 610
% 1.28/1.66 Deleted: 0
% 1.28/1.66 Deletedinuse: 0
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 18967
% 1.28/1.66 Kept: 18374
% 1.28/1.66 Inuse: 645
% 1.28/1.66 Deleted: 0
% 1.28/1.66 Deletedinuse: 0
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying clauses:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 21064
% 1.28/1.66 Kept: 20440
% 1.28/1.66 Inuse: 670
% 1.28/1.66 Deleted: 800
% 1.28/1.66 Deletedinuse: 12
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 23177
% 1.28/1.66 Kept: 22484
% 1.28/1.66 Inuse: 694
% 1.28/1.66 Deleted: 800
% 1.28/1.66 Deletedinuse: 12
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 25224
% 1.28/1.66 Kept: 24507
% 1.28/1.66 Inuse: 722
% 1.28/1.66 Deleted: 812
% 1.28/1.66 Deletedinuse: 24
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 27559
% 1.28/1.66 Kept: 26724
% 1.28/1.66 Inuse: 765
% 1.28/1.66 Deleted: 818
% 1.28/1.66 Deletedinuse: 24
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Intermediate Status:
% 1.28/1.66 Generated: 29713
% 1.28/1.66 Kept: 28793
% 1.28/1.66 Inuse: 800
% 1.28/1.66 Deleted: 818
% 1.28/1.66 Deletedinuse: 24
% 1.28/1.66
% 1.28/1.66 Resimplifying inuse:
% 1.28/1.66 Done
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Bliksems!, er is een bewijs:
% 1.28/1.66 % SZS status Unsatisfiable
% 1.28/1.66 % SZS output start Refutation
% 1.28/1.66
% 1.28/1.66 clause( 6, [ p2( X, X ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 11, [ p25( c36, c33 ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 12, [ p25( c32, c36 ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.28/1.66 f17( c31 ) ) ) ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 48, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.28/1.66 , X ) ), ~( p25( X, c33 ) ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 145, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 326, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 1.28/1.66 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 665, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 670, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.28/1.66 .
% 1.28/1.66 clause( 29810, [] )
% 1.28/1.66 .
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 % SZS output end Refutation
% 1.28/1.66 found a proof!
% 1.28/1.66
% 1.28/1.66 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.28/1.66
% 1.28/1.66 initialclauses(
% 1.28/1.66 [ clause( 29812, [ p22( c28 ) ] )
% 1.28/1.66 , clause( 29813, [ p10( X, X ) ] )
% 1.28/1.66 , clause( 29814, [ p7( X, X ) ] )
% 1.28/1.66 , clause( 29815, [ p6( X, X ) ] )
% 1.28/1.66 , clause( 29816, [ p3( X, X ) ] )
% 1.28/1.66 , clause( 29817, [ p20( X, X ) ] )
% 1.28/1.66 , clause( 29818, [ p2( X, X ) ] )
% 1.28/1.66 , clause( 29819, [ p19( X, X ) ] )
% 1.28/1.66 , clause( 29820, [ p14( X, X ) ] )
% 1.28/1.66 , clause( 29821, [ p12( X, X ) ] )
% 1.28/1.66 , clause( 29822, [ p10( c35, c34 ) ] )
% 1.28/1.66 , clause( 29823, [ p25( c36, c33 ) ] )
% 1.28/1.66 , clause( 29824, [ p25( c32, c36 ) ] )
% 1.28/1.66 , clause( 29825, [ p25( c32, c33 ) ] )
% 1.28/1.66 , clause( 29826, [ p2( c32, f9( c31 ) ) ] )
% 1.28/1.66 , clause( 29827, [ p7( f8( c29 ), c30 ) ] )
% 1.28/1.66 , clause( 29828, [ p26( f21( c28, c37 ), c34 ) ] )
% 1.28/1.66 , clause( 29829, [ p23( c28, f4( f5( X ) ), f4( X ) ) ] )
% 1.28/1.66 , clause( 29830, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.28/1.66 , clause( 29831, [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ] )
% 1.28/1.66 , clause( 29832, [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ] )
% 1.28/1.66 , clause( 29833, [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ] )
% 1.28/1.66 , clause( 29834, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 1.28/1.66 , clause( 29835, [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ] )
% 1.28/1.66 , clause( 29836, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 1.28/1.66 , clause( 29837, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 1.28/1.66 , clause( 29838, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 1.28/1.66 , clause( 29839, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 1.28/1.66 , clause( 29840, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 1.28/1.66 , clause( 29841, [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ] )
% 1.28/1.66 , clause( 29842, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.28/1.66 , clause( 29843, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 1.28/1.66 , clause( 29844, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 1.28/1.66 , clause( 29845, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 1.28/1.66 , clause( 29846, [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T
% 1.28/1.66 , X ) ) ] )
% 1.28/1.66 , clause( 29847, [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12(
% 1.28/1.66 T, Y ) ) ] )
% 1.28/1.66 , clause( 29848, [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T
% 1.28/1.66 , X ) ) ] )
% 1.28/1.66 , clause( 29849, [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10(
% 1.28/1.66 T, Y ) ) ] )
% 1.28/1.66 , clause( 29850, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c33 ), c34 ),
% 1.28/1.66 f9( f17( c31 ) ) ) ) ] )
% 1.28/1.66 , clause( 29851, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.28/1.66 f9( f17( c31 ) ) ) ) ] )
% 1.28/1.66 , clause( 29852, [ p27( f11( f4( c36 ), c37 ), f11( f4( f18( c36, f9( f17(
% 1.28/1.66 c31 ) ) ) ), c37 ) ) ] )
% 1.28/1.66 , clause( 29853, [ p25( f11( f4( c33 ), c35 ), f11( f4( f18( c33, f9( f17(
% 1.28/1.66 c31 ) ) ) ), c35 ) ) ] )
% 1.28/1.66 , clause( 29854, [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~(
% 1.28/1.66 p19( X, Z ) ) ] )
% 1.28/1.66 , clause( 29855, [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2(
% 1.28/1.66 Y, T ) ) ] )
% 1.28/1.66 , clause( 29856, [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7(
% 1.28/1.66 X, Z ) ) ] )
% 1.28/1.66 , clause( 29857, [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3(
% 1.28/1.66 X, Z ) ) ] )
% 1.28/1.66 , clause( 29858, [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2(
% 1.28/1.66 Y, T ) ) ] )
% 1.28/1.66 , clause( 29859, [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2(
% 1.28/1.66 Y, T ) ) ] )
% 1.28/1.66 , clause( 29860, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.28/1.66 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.28/1.66 , clause( 29861, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.28/1.66 X, c36 ) ), ~( p25( c32, X ) ) ] )
% 1.28/1.66 , clause( 29862, [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30,
% 1.28/1.66 f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.28/1.66 , clause( 29863, [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19(
% 1.28/1.66 W, X ) ), ~( p23( W, U, T ) ) ] )
% 1.28/1.66 , clause( 29864, [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ),
% 1.28/1.66 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.28/1.66 , clause( 29865, [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4(
% 1.28/1.66 T ), Y ) ), ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.28/1.66 ] ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 6, [ p2( X, X ) ] )
% 1.28/1.66 , clause( 29818, [ p2( X, X ) ] )
% 1.28/1.66 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 11, [ p25( c36, c33 ) ] )
% 1.28/1.66 , clause( 29823, [ p25( c36, c33 ) ] )
% 1.28/1.66 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 12, [ p25( c32, c36 ) ] )
% 1.28/1.66 , clause( 29824, [ p25( c32, c36 ) ] )
% 1.28/1.66 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.28/1.66 , clause( 29830, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.28/1.66 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.28/1.66 , clause( 29842, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.28/1.66 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.28/1.66 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.28/1.66 f17( c31 ) ) ) ) ] )
% 1.28/1.66 , clause( 29851, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.28/1.66 f9( f17( c31 ) ) ) ) ] )
% 1.28/1.66 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 48, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.28/1.66 , X ) ), ~( p25( X, c33 ) ) ] )
% 1.28/1.66 , clause( 29860, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.28/1.66 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.28/1.66 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.28/1.66 2 ), ==>( 2, 1 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 resolution(
% 1.28/1.66 clause( 29897, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.28/1.66 , clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.28/1.66 , 2, clause( 6, [ p2( X, X ) ] )
% 1.28/1.66 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 1.28/1.66 substitution( 1, [ :=( X, X )] )).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 145, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.28/1.66 , clause( 29897, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.28/1.66 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.28/1.66 ), ==>( 1, 0 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 resolution(
% 1.28/1.66 clause( 29899, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f16( f11( f4(
% 1.28/1.66 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.28/1.66 , clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.28/1.66 , 2, clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.28/1.66 f9( f17( c31 ) ) ) ) ] )
% 1.28/1.66 , 0, substitution( 0, [ :=( X, X ), :=( Y, f16( f11( f4( c36 ), c34 ), f9(
% 1.28/1.66 f17( c31 ) ) ) ), :=( Z, f11( f4( c32 ), c34 ) )] ), substitution( 1, [] )
% 1.28/1.66 ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 326, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 1.28/1.66 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.28/1.66 , clause( 29899, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f16( f11( f4(
% 1.28/1.66 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.28/1.66 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.28/1.66 0 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 resolution(
% 1.28/1.66 clause( 29900, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.28/1.66 c32, c36 ) ) ] )
% 1.28/1.66 , clause( 48, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.28/1.66 c32, X ) ), ~( p25( X, c33 ) ) ] )
% 1.28/1.66 , 2, clause( 11, [ p25( c36, c33 ) ] )
% 1.28/1.66 , 0, substitution( 0, [ :=( X, c36 )] ), substitution( 1, [] )).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 resolution(
% 1.28/1.66 clause( 29901, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.28/1.66 , clause( 29900, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~(
% 1.28/1.66 p25( c32, c36 ) ) ] )
% 1.28/1.66 , 1, clause( 12, [ p25( c32, c36 ) ] )
% 1.28/1.66 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 665, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.28/1.66 , clause( 29901, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.28/1.66 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 resolution(
% 1.28/1.66 clause( 29902, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.28/1.66 , clause( 145, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.28/1.66 , 1, clause( 665, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.28/1.66 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) ), :=( Y, f11( f4( c32
% 1.28/1.66 ), c34 ) )] ), substitution( 1, [] )).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 670, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.28/1.66 , clause( 29902, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.28/1.66 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 resolution(
% 1.28/1.66 clause( 29903, [ p2( f11( f4( c36 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.28/1.66 f17( c31 ) ) ) ) ] )
% 1.28/1.66 , clause( 326, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ),
% 1.28/1.66 ~( p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.28/1.66 , 1, clause( 670, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.28/1.66 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 1.28/1.66 , [] )).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 resolution(
% 1.28/1.66 clause( 29904, [] )
% 1.28/1.66 , clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.28/1.66 , 0, clause( 29903, [ p2( f11( f4( c36 ), c34 ), f16( f11( f4( c36 ), c34 )
% 1.28/1.66 , f9( f17( c31 ) ) ) ) ] )
% 1.28/1.66 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 1.28/1.66 , [] )).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 subsumption(
% 1.28/1.66 clause( 29810, [] )
% 1.28/1.66 , clause( 29904, [] )
% 1.28/1.66 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 end.
% 1.28/1.66
% 1.28/1.66 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.28/1.66
% 1.28/1.66 Memory use:
% 1.28/1.66
% 1.28/1.66 space for terms: 547974
% 1.28/1.66 space for clauses: 2129540
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 clauses generated: 30770
% 1.28/1.66 clauses kept: 29811
% 1.28/1.66 clauses selected: 827
% 1.28/1.66 clauses deleted: 836
% 1.28/1.66 clauses inuse deleted: 24
% 1.28/1.66
% 1.28/1.66 subsentry: 110649
% 1.28/1.66 literals s-matched: 89133
% 1.28/1.66 literals matched: 89133
% 1.28/1.66 full subsumption: 824
% 1.28/1.66
% 1.28/1.66 checksum: -619411234
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Bliksem ended
%------------------------------------------------------------------------------