TSTP Solution File: SYN685-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN685-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 02:53:55 EDT 2022
% Result : Unsatisfiable 1.41s 1.77s
% Output : Refutation 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN685-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.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 08:18:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.57 *** allocated 10000 integers for termspace/termends
% 0.75/1.57 *** allocated 10000 integers for clauses
% 0.75/1.57 *** allocated 10000 integers for justifications
% 0.75/1.57 Bliksem 1.12
% 0.75/1.57
% 0.75/1.57
% 0.75/1.57 Automatic Strategy Selection
% 0.75/1.57
% 0.75/1.57 Clauses:
% 0.75/1.57 [
% 0.75/1.57 [ p22( c28 ) ],
% 0.75/1.57 [ p10( X, X ) ],
% 0.75/1.57 [ p7( X, X ) ],
% 0.75/1.57 [ p6( X, X ) ],
% 0.75/1.57 [ p3( X, X ) ],
% 0.75/1.57 [ p20( X, X ) ],
% 0.75/1.57 [ p2( X, X ) ],
% 0.75/1.57 [ p19( X, X ) ],
% 0.75/1.57 [ p14( X, X ) ],
% 0.75/1.57 [ p12( X, X ) ],
% 0.75/1.57 [ p25( c36, c33 ) ],
% 0.75/1.57 [ p25( c32, c33 ) ],
% 0.75/1.57 [ p25( c32, c36 ) ],
% 0.75/1.57 [ p2( c32, f9( c31 ) ) ],
% 0.75/1.57 [ p7( f8( c29 ), c30 ) ],
% 0.75/1.57 [ p26( f21( c28, c37 ), c34 ) ],
% 0.75/1.57 [ p26( f21( c28, c35 ), c34 ) ],
% 0.75/1.57 [ p23( c28, f4( f5( X ) ), f4( X ) ) ],
% 0.75/1.57 [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ],
% 0.75/1.57 [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ],
% 0.75/1.57 [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ],
% 0.75/1.57 [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ],
% 0.75/1.57 [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.75/1.57 [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ],
% 0.75/1.57 [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.75/1.57 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.75/1.57 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.75/1.57 [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.75/1.57 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.75/1.57 [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ],
% 0.75/1.57 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.75/1.57 [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 0.75/1.57 [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 0.75/1.57 [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.75/1.57 [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T, X ) ) ],
% 0.75/1.57 [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( T, Y ) ) ]
% 0.75/1.57 ,
% 0.75/1.57 [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T, X ) ) ],
% 0.75/1.57 [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10( T, Y ) ) ]
% 0.75/1.57 ,
% 0.75/1.57 [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( f17( c31 )
% 0.75/1.57 ) ) ) ],
% 0.75/1.57 [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9( f17( c31 )
% 0.75/1.57 ) ) ) ],
% 0.75/1.57 [ p27( f11( f4( c36 ), c37 ), f11( f4( f16( c36, f9( f17( c31 ) ) ) ),
% 0.75/1.57 c37 ) ) ],
% 0.75/1.57 [ p27( f11( f4( c33 ), c35 ), f11( f4( f16( c33, f9( f17( c31 ) ) ) ),
% 0.75/1.57 c35 ) ) ],
% 0.75/1.57 [ ~( p2( f11( f4( f16( c32, f9( f17( c31 ) ) ) ), c34 ), f11( f4( c32 )
% 0.75/1.57 , c34 ) ) ) ],
% 0.75/1.57 [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~( p19( X, Z ) ) ]
% 0.75/1.57 ,
% 0.75/1.57 [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.75/1.57 ,
% 0.75/1.57 [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.75/1.57 ,
% 0.75/1.57 [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( X, Z ) ) ]
% 0.75/1.57 ,
% 0.75/1.57 [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.75/1.57 ,
% 0.75/1.57 [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.75/1.57 ,
% 0.75/1.57 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c33 ) ),
% 0.75/1.57 ~( p25( c32, X ) ) ],
% 0.75/1.57 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c36 ) ),
% 0.75/1.57 ~( p25( c32, X ) ) ],
% 0.75/1.57 [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30, f13( X, Z ) )
% 0.75/1.57 , f13( Y, T ) ) ) ],
% 0.75/1.57 [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19( W, X ) ),
% 0.75/1.57 ~( p23( W, U, T ) ) ],
% 0.75/1.57 [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~( p24( f15( c30
% 0.75/1.57 , f13( X, Z ) ), f13( Y, T ) ) ) ],
% 0.75/1.57 [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( T ), Y ) ),
% 0.75/1.57 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ]
% 0.75/1.57 ] .
% 0.75/1.57
% 0.75/1.57
% 0.75/1.57 percentage equality = 0.000000, percentage horn = 0.963636
% 0.75/1.57 This is a near-Horn, non-equality problem
% 0.75/1.57
% 0.75/1.57
% 0.75/1.57 Options Used:
% 0.75/1.57
% 0.75/1.57 useres = 1
% 0.75/1.57 useparamod = 0
% 0.75/1.57 useeqrefl = 0
% 0.75/1.57 useeqfact = 0
% 0.75/1.57 usefactor = 1
% 0.75/1.57 usesimpsplitting = 0
% 0.75/1.57 usesimpdemod = 0
% 0.75/1.57 usesimpres = 4
% 0.75/1.57
% 0.75/1.57 resimpinuse = 1000
% 0.75/1.57 resimpclauses = 20000
% 0.75/1.57 substype = standard
% 0.75/1.57 backwardsubs = 1
% 0.75/1.57 selectoldest = 5
% 0.75/1.57
% 0.75/1.57 litorderings [0] = split
% 0.75/1.57 litorderings [1] = liftord
% 0.75/1.57
% 0.75/1.57 termordering = none
% 0.75/1.57
% 0.75/1.57 litapriori = 1
% 0.75/1.57 termapriori = 0
% 0.75/1.57 litaposteriori = 0
% 0.75/1.57 termaposteriori = 0
% 0.75/1.57 demodaposteriori = 0
% 0.75/1.57 ordereqreflfact = 0
% 0.75/1.57
% 0.75/1.57 litselect = negative
% 0.75/1.57
% 0.75/1.57 maxweight = 30000
% 0.75/1.57 maxdepth = 30000
% 0.75/1.57 maxlength = 115
% 0.75/1.57 maxnrvars = 195
% 0.75/1.57 excuselevel = 0
% 1.32/1.77 increasemaxweight = 0
% 1.32/1.77
% 1.32/1.77 maxselected = 10000000
% 1.32/1.77 maxnrclauses = 10000000
% 1.32/1.77
% 1.32/1.77 showgenerated = 0
% 1.32/1.77 showkept = 0
% 1.32/1.77 showselected = 0
% 1.32/1.77 showdeleted = 0
% 1.32/1.77 showresimp = 1
% 1.32/1.77 showstatus = 2000
% 1.32/1.77
% 1.32/1.77 prologoutput = 1
% 1.32/1.77 nrgoals = 5000000
% 1.32/1.77 totalproof = 1
% 1.32/1.77
% 1.32/1.77 Symbols occurring in the translation:
% 1.32/1.77
% 1.32/1.77 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.32/1.77 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.32/1.77 ! [4, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.32/1.77 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.32/1.77 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.32/1.77 c28 [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.32/1.77 p22 [40, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.32/1.77 p10 [42, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.32/1.77 p7 [44, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.32/1.77 p6 [46, 2] (w:1, o:153, a:1, s:1, b:0),
% 1.32/1.77 p3 [48, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.32/1.77 p20 [50, 2] (w:1, o:158, a:1, s:1, b:0),
% 1.32/1.77 p2 [52, 2] (w:1, o:159, a:1, s:1, b:0),
% 1.32/1.77 p19 [54, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.32/1.77 p14 [56, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.32/1.77 p12 [58, 2] (w:1, o:157, a:1, s:1, b:0),
% 1.32/1.77 c36 [59, 0] (w:1, o:96, a:1, s:1, b:0),
% 1.32/1.77 c33 [60, 0] (w:1, o:100, a:1, s:1, b:0),
% 1.32/1.77 p25 [61, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.32/1.77 c32 [62, 0] (w:1, o:99, a:1, s:1, b:0),
% 1.32/1.77 c31 [63, 0] (w:1, o:98, a:1, s:1, b:0),
% 1.32/1.77 f9 [64, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.32/1.77 c29 [65, 0] (w:1, o:94, a:1, s:1, b:0),
% 1.32/1.77 f8 [66, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.32/1.77 c30 [67, 0] (w:1, o:97, a:1, s:1, b:0),
% 1.32/1.77 c37 [68, 0] (w:1, o:101, a:1, s:1, b:0),
% 1.32/1.77 f21 [69, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.32/1.77 c34 [70, 0] (w:1, o:102, a:1, s:1, b:0),
% 1.32/1.77 p26 [71, 2] (w:1, o:162, a:1, s:1, b:0),
% 1.32/1.77 c35 [72, 0] (w:1, o:95, a:1, s:1, b:0),
% 1.32/1.77 f5 [74, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.32/1.77 f4 [75, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.32/1.77 p23 [76, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.32/1.77 f17 [78, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.32/1.77 f18 [79, 2] (w:1, o:165, a:1, s:1, b:0),
% 1.32/1.77 p27 [112, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.32/1.77 p24 [117, 2] (w:1, o:160, a:1, s:1, b:0),
% 1.32/1.77 f11 [128, 2] (w:1, o:166, a:1, s:1, b:0),
% 1.32/1.77 f16 [129, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.32/1.77 f13 [136, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.32/1.77 f15 [141, 2] (w:1, o:167, a:1, s:1, b:0).
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Starting Search:
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 2227
% 1.32/1.77 Kept: 2015
% 1.32/1.77 Inuse: 252
% 1.32/1.77 Deleted: 0
% 1.32/1.77 Deletedinuse: 0
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 4367
% 1.32/1.77 Kept: 4070
% 1.32/1.77 Inuse: 346
% 1.32/1.77 Deleted: 0
% 1.32/1.77 Deletedinuse: 0
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 6529
% 1.32/1.77 Kept: 6196
% 1.32/1.77 Inuse: 401
% 1.32/1.77 Deleted: 0
% 1.32/1.77 Deletedinuse: 0
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 8623
% 1.32/1.77 Kept: 8245
% 1.32/1.77 Inuse: 451
% 1.32/1.77 Deleted: 0
% 1.32/1.77 Deletedinuse: 0
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 10668
% 1.32/1.77 Kept: 10249
% 1.32/1.77 Inuse: 479
% 1.32/1.77 Deleted: 12
% 1.32/1.77 Deletedinuse: 12
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 12751
% 1.32/1.77 Kept: 12261
% 1.32/1.77 Inuse: 506
% 1.32/1.77 Deleted: 20
% 1.32/1.77 Deletedinuse: 20
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 14788
% 1.32/1.77 Kept: 14277
% 1.32/1.77 Inuse: 536
% 1.32/1.77 Deleted: 24
% 1.32/1.77 Deletedinuse: 24
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 16919
% 1.32/1.77 Kept: 16333
% 1.32/1.77 Inuse: 571
% 1.32/1.77 Deleted: 36
% 1.32/1.77 Deletedinuse: 24
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 19034
% 1.32/1.77 Kept: 18385
% 1.32/1.77 Inuse: 606
% 1.32/1.77 Deleted: 64
% 1.32/1.77 Deletedinuse: 24
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77 Resimplifying clauses:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 21070
% 1.32/1.77 Kept: 20394
% 1.32/1.77 Inuse: 699
% 1.32/1.77 Deleted: 1111
% 1.32/1.77 Deletedinuse: 24
% 1.32/1.77
% 1.32/1.77 Resimplifying inuse:
% 1.32/1.77 Done
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 Intermediate Status:
% 1.32/1.77 Generated: 23123
% 1.32/1.77 Kept: 22420
% 1.32/1.77 Inuse: 726
% 1.32/1.77 Deleted: 1111
% 1.41/1.77 Deletedinuse: 24
% 1.41/1.77
% 1.41/1.77 Resimplifying inuse:
% 1.41/1.77 Done
% 1.41/1.77
% 1.41/1.77 Resimplifying inuse:
% 1.41/1.77 Done
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 Intermediate Status:
% 1.41/1.77 Generated: 25171
% 1.41/1.77 Kept: 24437
% 1.41/1.77 Inuse: 756
% 1.41/1.77 Deleted: 1111
% 1.41/1.77 Deletedinuse: 24
% 1.41/1.77
% 1.41/1.77 Resimplifying inuse:
% 1.41/1.77 Done
% 1.41/1.77
% 1.41/1.77 Resimplifying inuse:
% 1.41/1.77 Done
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 Intermediate Status:
% 1.41/1.77 Generated: 27252
% 1.41/1.77 Kept: 26479
% 1.41/1.77 Inuse: 794
% 1.41/1.77 Deleted: 1111
% 1.41/1.77 Deletedinuse: 24
% 1.41/1.77
% 1.41/1.77 Resimplifying inuse:
% 1.41/1.77 Done
% 1.41/1.77
% 1.41/1.77 Resimplifying inuse:
% 1.41/1.77 Done
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 Intermediate Status:
% 1.41/1.77 Generated: 29298
% 1.41/1.77 Kept: 28496
% 1.41/1.77 Inuse: 822
% 1.41/1.77 Deleted: 1111
% 1.41/1.77 Deletedinuse: 24
% 1.41/1.77
% 1.41/1.77 Resimplifying inuse:
% 1.41/1.77 Done
% 1.41/1.77
% 1.41/1.77 Resimplifying inuse:
% 1.41/1.77 Done
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 Bliksems!, er is een bewijs:
% 1.41/1.77 % SZS status Unsatisfiable
% 1.41/1.77 % SZS output start Refutation
% 1.41/1.77
% 1.41/1.77 clause( 6, [ p2( X, X ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 10, [ p25( c36, c33 ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 12, [ p25( c32, c36 ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 18, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 39, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9(
% 1.41/1.77 f17( c31 ) ) ) ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.41/1.77 , X ) ), ~( p25( X, c33 ) ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 146, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 331, [ p2( X, f18( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 1.41/1.77 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 694, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 699, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.41/1.77 .
% 1.41/1.77 clause( 30493, [] )
% 1.41/1.77 .
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 % SZS output end Refutation
% 1.41/1.77 found a proof!
% 1.41/1.77
% 1.41/1.77 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.41/1.77
% 1.41/1.77 initialclauses(
% 1.41/1.77 [ clause( 30495, [ p22( c28 ) ] )
% 1.41/1.77 , clause( 30496, [ p10( X, X ) ] )
% 1.41/1.77 , clause( 30497, [ p7( X, X ) ] )
% 1.41/1.77 , clause( 30498, [ p6( X, X ) ] )
% 1.41/1.77 , clause( 30499, [ p3( X, X ) ] )
% 1.41/1.77 , clause( 30500, [ p20( X, X ) ] )
% 1.41/1.77 , clause( 30501, [ p2( X, X ) ] )
% 1.41/1.77 , clause( 30502, [ p19( X, X ) ] )
% 1.41/1.77 , clause( 30503, [ p14( X, X ) ] )
% 1.41/1.77 , clause( 30504, [ p12( X, X ) ] )
% 1.41/1.77 , clause( 30505, [ p25( c36, c33 ) ] )
% 1.41/1.77 , clause( 30506, [ p25( c32, c33 ) ] )
% 1.41/1.77 , clause( 30507, [ p25( c32, c36 ) ] )
% 1.41/1.77 , clause( 30508, [ p2( c32, f9( c31 ) ) ] )
% 1.41/1.77 , clause( 30509, [ p7( f8( c29 ), c30 ) ] )
% 1.41/1.77 , clause( 30510, [ p26( f21( c28, c37 ), c34 ) ] )
% 1.41/1.77 , clause( 30511, [ p26( f21( c28, c35 ), c34 ) ] )
% 1.41/1.77 , clause( 30512, [ p23( c28, f4( f5( X ) ), f4( X ) ) ] )
% 1.41/1.77 , clause( 30513, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.41/1.77 , clause( 30514, [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ] )
% 1.41/1.77 , clause( 30515, [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ] )
% 1.41/1.77 , clause( 30516, [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ] )
% 1.41/1.77 , clause( 30517, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 1.41/1.77 , clause( 30518, [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ] )
% 1.41/1.77 , clause( 30519, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 1.41/1.77 , clause( 30520, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 1.41/1.77 , clause( 30521, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 1.41/1.77 , clause( 30522, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 1.41/1.77 , clause( 30523, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 1.41/1.77 , clause( 30524, [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ] )
% 1.41/1.77 , clause( 30525, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.41/1.77 , clause( 30526, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 1.41/1.77 , clause( 30527, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 1.41/1.77 , clause( 30528, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 1.41/1.77 , clause( 30529, [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T
% 1.41/1.77 , X ) ) ] )
% 1.41/1.77 , clause( 30530, [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12(
% 1.41/1.77 T, Y ) ) ] )
% 1.41/1.77 , clause( 30531, [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T
% 1.41/1.77 , X ) ) ] )
% 1.41/1.77 , clause( 30532, [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10(
% 1.41/1.77 T, Y ) ) ] )
% 1.41/1.77 , clause( 30533, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ),
% 1.41/1.77 f9( f17( c31 ) ) ) ) ] )
% 1.41/1.77 , clause( 30534, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ),
% 1.41/1.77 f9( f17( c31 ) ) ) ) ] )
% 1.41/1.77 , clause( 30535, [ p27( f11( f4( c36 ), c37 ), f11( f4( f16( c36, f9( f17(
% 1.41/1.77 c31 ) ) ) ), c37 ) ) ] )
% 1.41/1.77 , clause( 30536, [ p27( f11( f4( c33 ), c35 ), f11( f4( f16( c33, f9( f17(
% 1.41/1.77 c31 ) ) ) ), c35 ) ) ] )
% 1.41/1.77 , clause( 30537, [ ~( p2( f11( f4( f16( c32, f9( f17( c31 ) ) ) ), c34 ),
% 1.41/1.77 f11( f4( c32 ), c34 ) ) ) ] )
% 1.41/1.77 , clause( 30538, [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~(
% 1.41/1.77 p19( X, Z ) ) ] )
% 1.41/1.77 , clause( 30539, [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2(
% 1.41/1.77 Y, T ) ) ] )
% 1.41/1.77 , clause( 30540, [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7(
% 1.41/1.77 X, Z ) ) ] )
% 1.41/1.77 , clause( 30541, [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3(
% 1.41/1.77 X, Z ) ) ] )
% 1.41/1.77 , clause( 30542, [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2(
% 1.41/1.77 Y, T ) ) ] )
% 1.41/1.77 , clause( 30543, [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2(
% 1.41/1.77 Y, T ) ) ] )
% 1.41/1.77 , clause( 30544, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.41/1.77 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.41/1.77 , clause( 30545, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.41/1.77 X, c36 ) ), ~( p25( c32, X ) ) ] )
% 1.41/1.77 , clause( 30546, [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30,
% 1.41/1.77 f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.41/1.77 , clause( 30547, [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19(
% 1.41/1.77 W, X ) ), ~( p23( W, U, T ) ) ] )
% 1.41/1.77 , clause( 30548, [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ),
% 1.41/1.77 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.41/1.77 , clause( 30549, [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4(
% 1.41/1.77 T ), Y ) ), ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.41/1.77 ] ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 6, [ p2( X, X ) ] )
% 1.41/1.77 , clause( 30501, [ p2( X, X ) ] )
% 1.41/1.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 10, [ p25( c36, c33 ) ] )
% 1.41/1.77 , clause( 30505, [ p25( c36, c33 ) ] )
% 1.41/1.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 12, [ p25( c32, c36 ) ] )
% 1.41/1.77 , clause( 30507, [ p25( c32, c36 ) ] )
% 1.41/1.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 18, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.41/1.77 , clause( 30513, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.41/1.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.41/1.77 , clause( 30525, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.41/1.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.41/1.77 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 39, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9(
% 1.41/1.77 f17( c31 ) ) ) ) ] )
% 1.41/1.77 , clause( 30534, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ),
% 1.41/1.77 f9( f17( c31 ) ) ) ) ] )
% 1.41/1.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.41/1.77 , X ) ), ~( p25( X, c33 ) ) ] )
% 1.41/1.77 , clause( 30544, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.41/1.77 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.41/1.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.41/1.77 2 ), ==>( 2, 1 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 resolution(
% 1.41/1.77 clause( 30581, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.41/1.77 , clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.41/1.77 , 2, clause( 6, [ p2( X, X ) ] )
% 1.41/1.77 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 1.41/1.77 substitution( 1, [ :=( X, X )] )).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 146, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.41/1.77 , clause( 30581, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.41/1.77 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.41/1.77 ), ==>( 1, 0 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 resolution(
% 1.41/1.77 clause( 30583, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f18( f11( f4(
% 1.41/1.77 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.41/1.77 , clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.41/1.77 , 2, clause( 39, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ),
% 1.41/1.77 f9( f17( c31 ) ) ) ) ] )
% 1.41/1.77 , 0, substitution( 0, [ :=( X, X ), :=( Y, f18( f11( f4( c36 ), c34 ), f9(
% 1.41/1.77 f17( c31 ) ) ) ), :=( Z, f11( f4( c32 ), c34 ) )] ), substitution( 1, [] )
% 1.41/1.77 ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 331, [ p2( X, f18( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 1.41/1.77 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.41/1.77 , clause( 30583, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f18( f11( f4(
% 1.41/1.77 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.41/1.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.41/1.77 0 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 resolution(
% 1.41/1.77 clause( 30584, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.41/1.77 c32, c36 ) ) ] )
% 1.41/1.77 , clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.41/1.77 c32, X ) ), ~( p25( X, c33 ) ) ] )
% 1.41/1.77 , 2, clause( 10, [ p25( c36, c33 ) ] )
% 1.41/1.77 , 0, substitution( 0, [ :=( X, c36 )] ), substitution( 1, [] )).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 resolution(
% 1.41/1.77 clause( 30585, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.41/1.77 , clause( 30584, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~(
% 1.41/1.77 p25( c32, c36 ) ) ] )
% 1.41/1.77 , 1, clause( 12, [ p25( c32, c36 ) ] )
% 1.41/1.77 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 694, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.41/1.77 , clause( 30585, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.41/1.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 resolution(
% 1.41/1.77 clause( 30586, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.41/1.77 , clause( 146, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.41/1.77 , 1, clause( 694, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.41/1.77 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) ), :=( Y, f11( f4( c32
% 1.41/1.77 ), c34 ) )] ), substitution( 1, [] )).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 699, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.41/1.77 , clause( 30586, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.41/1.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 resolution(
% 1.41/1.77 clause( 30587, [ p2( f11( f4( c36 ), c34 ), f18( f11( f4( c36 ), c34 ), f9(
% 1.41/1.77 f17( c31 ) ) ) ) ] )
% 1.41/1.77 , clause( 331, [ p2( X, f18( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ),
% 1.41/1.77 ~( p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.41/1.77 , 1, clause( 699, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.41/1.77 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 1.41/1.77 , [] )).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 resolution(
% 1.41/1.77 clause( 30588, [] )
% 1.41/1.77 , clause( 18, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.41/1.77 , 0, clause( 30587, [ p2( f11( f4( c36 ), c34 ), f18( f11( f4( c36 ), c34 )
% 1.41/1.77 , f9( f17( c31 ) ) ) ) ] )
% 1.41/1.77 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 1.41/1.77 , [] )).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 subsumption(
% 1.41/1.77 clause( 30493, [] )
% 1.41/1.77 , clause( 30588, [] )
% 1.41/1.77 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 end.
% 1.41/1.77
% 1.41/1.77 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.41/1.77
% 1.41/1.77 Memory use:
% 1.41/1.77
% 1.41/1.77 space for terms: 578420
% 1.41/1.77 space for clauses: 2325386
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 clauses generated: 31320
% 1.41/1.77 clauses kept: 30494
% 1.41/1.77 clauses selected: 846
% 1.41/1.77 clauses deleted: 1111
% 1.41/1.77 clauses inuse deleted: 24
% 1.41/1.77
% 1.41/1.77 subsentry: 104098
% 1.41/1.77 literals s-matched: 91010
% 1.41/1.77 literals matched: 91010
% 1.41/1.77 full subsumption: 824
% 1.41/1.77
% 1.41/1.77 checksum: -781030851
% 1.41/1.77
% 1.41/1.77
% 1.41/1.77 Bliksem ended
%------------------------------------------------------------------------------