TSTP Solution File: SYN677-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN677-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 02:53:52 EDT 2022
% Result : Unsatisfiable 1.40s 1.77s
% Output : Refutation 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN677-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Mon Jul 11 12:33:58 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.80/1.62 *** allocated 10000 integers for termspace/termends
% 0.80/1.62 *** allocated 10000 integers for clauses
% 0.80/1.62 *** allocated 10000 integers for justifications
% 0.80/1.62 Bliksem 1.12
% 0.80/1.62
% 0.80/1.62
% 0.80/1.62 Automatic Strategy Selection
% 0.80/1.62
% 0.80/1.62 Clauses:
% 0.80/1.62 [
% 0.80/1.62 [ p22( c28 ) ],
% 0.80/1.62 [ p10( X, X ) ],
% 0.80/1.62 [ p7( X, X ) ],
% 0.80/1.62 [ p6( X, X ) ],
% 0.80/1.62 [ p3( X, X ) ],
% 0.80/1.62 [ p2( X, X ) ],
% 0.80/1.62 [ p19( X, X ) ],
% 0.80/1.62 [ p18( X, X ) ],
% 0.80/1.62 [ p14( X, X ) ],
% 0.80/1.62 [ p12( X, X ) ],
% 0.80/1.62 [ p25( c36, c33 ) ],
% 0.80/1.62 [ p25( c32, c33 ) ],
% 0.80/1.62 [ p25( c32, c36 ) ],
% 0.80/1.62 [ p2( c32, f9( c31 ) ) ],
% 0.80/1.62 [ p7( f8( c29 ), c30 ) ],
% 0.80/1.62 [ p26( f20( c28, c37 ), c34 ) ],
% 0.80/1.62 [ p26( f20( c28, c35 ), c34 ) ],
% 0.80/1.62 [ p23( c28, f4( f5( X ) ), f4( X ) ) ],
% 0.80/1.62 [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ],
% 0.80/1.62 [ p22( X ), ~( p22( Y ) ), ~( p18( Y, X ) ) ],
% 0.80/1.62 [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ],
% 0.80/1.62 [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ],
% 0.80/1.62 [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.80/1.62 [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ],
% 0.80/1.62 [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.80/1.62 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.80/1.62 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.80/1.62 [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.80/1.62 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.80/1.62 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.80/1.62 [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 0.80/1.62 [ p18( X, Y ), ~( p18( Z, X ) ), ~( p18( Z, Y ) ) ],
% 0.80/1.62 [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 0.80/1.62 [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.80/1.62 [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T, X ) ) ],
% 0.80/1.62 [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( T, Y ) ) ]
% 0.80/1.62 ,
% 0.80/1.62 [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T, X ) ) ],
% 0.80/1.62 [ p26( X, Y ), ~( p19( Z, X ) ), ~( p26( Z, T ) ), ~( p10( T, Y ) ) ]
% 0.80/1.62 ,
% 0.80/1.62 [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c33 ), c34 ), f9( f17( c31 )
% 0.80/1.62 ) ) ) ],
% 0.80/1.62 [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9( f17( c31 )
% 0.80/1.62 ) ) ) ],
% 0.80/1.62 [ p27( f11( f4( c36 ), c37 ), f11( f4( f21( c36, f9( f17( c31 ) ) ) ),
% 0.80/1.62 c37 ) ) ],
% 0.80/1.62 [ p27( f11( f4( c33 ), c35 ), f11( f4( f21( c33, f9( f17( c31 ) ) ) ),
% 0.80/1.62 c35 ) ) ],
% 0.80/1.62 [ ~( p2( f11( f4( f21( c32, f9( f17( c31 ) ) ) ), c34 ), f11( f4( c32 )
% 0.80/1.62 , c34 ) ) ) ],
% 0.80/1.62 [ p2( f21( X, Y ), f21( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.80/1.62 ,
% 0.80/1.62 [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.80/1.62 ,
% 0.80/1.62 [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.80/1.62 ,
% 0.80/1.62 [ p19( f20( X, Y ), f20( Z, T ) ), ~( p10( Y, T ) ), ~( p18( X, Z ) ) ]
% 0.80/1.62 ,
% 0.80/1.62 [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( X, Z ) ) ]
% 0.80/1.62 ,
% 0.80/1.62 [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.80/1.62 ,
% 0.80/1.62 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c33 ) ),
% 0.80/1.62 ~( p25( c32, X ) ) ],
% 0.80/1.62 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c36 ) ),
% 0.80/1.62 ~( p25( c32, X ) ) ],
% 0.80/1.62 [ p10( X, Y ), p26( f20( c28, X ), Y ), ~( p24( f15( c30, f13( X, Z ) )
% 0.80/1.62 , f13( Y, T ) ) ) ],
% 0.80/1.62 [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p18( W, X ) ),
% 0.80/1.62 ~( p23( W, U, T ) ) ],
% 0.80/1.62 [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~( p24( f15( c30
% 0.80/1.62 , f13( X, Z ) ), f13( Y, T ) ) ) ],
% 0.80/1.62 [ p26( f20( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( T ), Y ) ),
% 0.80/1.62 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ]
% 0.80/1.62 ] .
% 0.80/1.62
% 0.80/1.62
% 0.80/1.62 percentage equality = 0.000000, percentage horn = 0.963636
% 0.80/1.62 This is a near-Horn, non-equality problem
% 0.80/1.62
% 0.80/1.62
% 0.80/1.62 Options Used:
% 0.80/1.62
% 0.80/1.62 useres = 1
% 0.80/1.62 useparamod = 0
% 0.80/1.62 useeqrefl = 0
% 0.80/1.62 useeqfact = 0
% 0.80/1.62 usefactor = 1
% 0.80/1.62 usesimpsplitting = 0
% 0.80/1.62 usesimpdemod = 0
% 0.80/1.62 usesimpres = 4
% 0.80/1.62
% 0.80/1.62 resimpinuse = 1000
% 0.80/1.62 resimpclauses = 20000
% 0.80/1.62 substype = standard
% 0.80/1.62 backwardsubs = 1
% 0.80/1.62 selectoldest = 5
% 0.80/1.62
% 0.80/1.62 litorderings [0] = split
% 0.80/1.62 litorderings [1] = liftord
% 0.80/1.62
% 0.80/1.62 termordering = none
% 0.80/1.62
% 0.80/1.62 litapriori = 1
% 0.80/1.62 termapriori = 0
% 0.80/1.62 litaposteriori = 0
% 0.80/1.62 termaposteriori = 0
% 0.80/1.62 demodaposteriori = 0
% 0.80/1.62 ordereqreflfact = 0
% 0.80/1.62
% 0.80/1.62 litselect = negative
% 0.80/1.62
% 0.80/1.62 maxweight = 30000
% 0.80/1.62 maxdepth = 30000
% 0.80/1.62 maxlength = 115
% 0.80/1.62 maxnrvars = 195
% 0.80/1.62 excuselevel = 0
% 1.40/1.77 increasemaxweight = 0
% 1.40/1.77
% 1.40/1.77 maxselected = 10000000
% 1.40/1.77 maxnrclauses = 10000000
% 1.40/1.77
% 1.40/1.77 showgenerated = 0
% 1.40/1.77 showkept = 0
% 1.40/1.77 showselected = 0
% 1.40/1.77 showdeleted = 0
% 1.40/1.77 showresimp = 1
% 1.40/1.77 showstatus = 2000
% 1.40/1.77
% 1.40/1.77 prologoutput = 1
% 1.40/1.77 nrgoals = 5000000
% 1.40/1.77 totalproof = 1
% 1.40/1.77
% 1.40/1.77 Symbols occurring in the translation:
% 1.40/1.77
% 1.40/1.77 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.40/1.77 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.40/1.77 ! [4, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.40/1.77 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.40/1.77 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.40/1.77 c28 [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.40/1.77 p22 [40, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.40/1.77 p10 [42, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.40/1.77 p7 [44, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.40/1.77 p6 [46, 2] (w:1, o:153, a:1, s:1, b:0),
% 1.40/1.77 p3 [48, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.40/1.77 p2 [50, 2] (w:1, o:159, a:1, s:1, b:0),
% 1.40/1.77 p19 [52, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.40/1.77 p18 [54, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.40/1.77 p14 [56, 2] (w:1, o:157, a:1, s:1, b:0),
% 1.40/1.77 p12 [58, 2] (w:1, o:158, a:1, s:1, b:0),
% 1.40/1.77 c36 [59, 0] (w:1, o:86, a:1, s:1, b:0),
% 1.40/1.77 c33 [60, 0] (w:1, o:90, a:1, s:1, b:0),
% 1.40/1.77 p25 [61, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.40/1.77 c32 [62, 0] (w:1, o:89, a:1, s:1, b:0),
% 1.40/1.77 c31 [63, 0] (w:1, o:88, a:1, s:1, b:0),
% 1.40/1.77 f9 [64, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.40/1.77 c29 [65, 0] (w:1, o:84, a:1, s:1, b:0),
% 1.40/1.77 f8 [66, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.40/1.77 c30 [67, 0] (w:1, o:87, a:1, s:1, b:0),
% 1.40/1.77 c37 [68, 0] (w:1, o:91, a:1, s:1, b:0),
% 1.40/1.77 f20 [69, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.40/1.77 c34 [70, 0] (w:1, o:92, a:1, s:1, b:0),
% 1.40/1.77 p26 [71, 2] (w:1, o:162, a:1, s:1, b:0),
% 1.40/1.77 c35 [72, 0] (w:1, o:85, a:1, s:1, b:0),
% 1.40/1.77 f5 [74, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.40/1.77 f4 [75, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.40/1.77 p23 [76, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.40/1.77 f17 [78, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.40/1.77 f16 [79, 2] (w:1, o:166, a:1, s:1, b:0),
% 1.40/1.77 p27 [112, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.40/1.77 p24 [117, 2] (w:1, o:160, a:1, s:1, b:0),
% 1.40/1.77 f11 [128, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.40/1.77 f21 [129, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.40/1.77 f13 [136, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.40/1.77 f15 [141, 2] (w:1, o:165, a:1, s:1, b:0).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Starting Search:
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 2321
% 1.40/1.77 Kept: 2100
% 1.40/1.77 Inuse: 260
% 1.40/1.77 Deleted: 0
% 1.40/1.77 Deletedinuse: 0
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 4506
% 1.40/1.77 Kept: 4206
% 1.40/1.77 Inuse: 351
% 1.40/1.77 Deleted: 0
% 1.40/1.77 Deletedinuse: 0
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 6543
% 1.40/1.77 Kept: 6208
% 1.40/1.77 Inuse: 401
% 1.40/1.77 Deleted: 0
% 1.40/1.77 Deletedinuse: 0
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 8623
% 1.40/1.77 Kept: 8245
% 1.40/1.77 Inuse: 451
% 1.40/1.77 Deleted: 0
% 1.40/1.77 Deletedinuse: 0
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 10678
% 1.40/1.77 Kept: 10249
% 1.40/1.77 Inuse: 479
% 1.40/1.77 Deleted: 12
% 1.40/1.77 Deletedinuse: 12
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 12796
% 1.40/1.77 Kept: 12296
% 1.40/1.77 Inuse: 511
% 1.40/1.77 Deleted: 14
% 1.40/1.77 Deletedinuse: 14
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 14844
% 1.40/1.77 Kept: 14314
% 1.40/1.77 Inuse: 541
% 1.40/1.77 Deleted: 24
% 1.40/1.77 Deletedinuse: 24
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 16961
% 1.40/1.77 Kept: 16361
% 1.40/1.77 Inuse: 571
% 1.40/1.77 Deleted: 36
% 1.40/1.77 Deletedinuse: 24
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 19076
% 1.40/1.77 Kept: 18413
% 1.40/1.77 Inuse: 606
% 1.40/1.77 Deleted: 64
% 1.40/1.77 Deletedinuse: 24
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying clauses:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 21112
% 1.40/1.77 Kept: 20422
% 1.40/1.77 Inuse: 699
% 1.40/1.77 Deleted: 1139
% 1.40/1.77 Deletedinuse: 24
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 23165
% 1.40/1.77 Kept: 22448
% 1.40/1.77 Inuse: 726
% 1.40/1.77 Deleted: 1139
% 1.40/1.77 Deletedinuse: 24
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 25294
% 1.40/1.77 Kept: 24546
% 1.40/1.77 Inuse: 756
% 1.40/1.77 Deleted: 1139
% 1.40/1.77 Deletedinuse: 24
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 27371
% 1.40/1.77 Kept: 26594
% 1.40/1.77 Inuse: 784
% 1.40/1.77 Deleted: 1139
% 1.40/1.77 Deletedinuse: 24
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 29424
% 1.40/1.77 Kept: 28622
% 1.40/1.77 Inuse: 808
% 1.40/1.77 Deleted: 1139
% 1.40/1.77 Deletedinuse: 24
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Intermediate Status:
% 1.40/1.77 Generated: 31513
% 1.40/1.77 Kept: 30659
% 1.40/1.77 Inuse: 831
% 1.40/1.77 Deleted: 1139
% 1.40/1.77 Deletedinuse: 24
% 1.40/1.77
% 1.40/1.77 Resimplifying inuse:
% 1.40/1.77 Done
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Bliksems!, er is een bewijs:
% 1.40/1.77 % SZS status Unsatisfiable
% 1.40/1.77 % SZS output start Refutation
% 1.40/1.77
% 1.40/1.77 clause( 5, [ p2( X, X ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 10, [ p25( c36, c33 ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 12, [ p25( c32, c36 ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.40/1.77 f17( c31 ) ) ) ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.40/1.77 , X ) ), ~( p25( X, c33 ) ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 139, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 331, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 1.40/1.77 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 694, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 699, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.40/1.77 .
% 1.40/1.77 clause( 31479, [] )
% 1.40/1.77 .
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 % SZS output end Refutation
% 1.40/1.77 found a proof!
% 1.40/1.77
% 1.40/1.77 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.40/1.77
% 1.40/1.77 initialclauses(
% 1.40/1.77 [ clause( 31481, [ p22( c28 ) ] )
% 1.40/1.77 , clause( 31482, [ p10( X, X ) ] )
% 1.40/1.77 , clause( 31483, [ p7( X, X ) ] )
% 1.40/1.77 , clause( 31484, [ p6( X, X ) ] )
% 1.40/1.77 , clause( 31485, [ p3( X, X ) ] )
% 1.40/1.77 , clause( 31486, [ p2( X, X ) ] )
% 1.40/1.77 , clause( 31487, [ p19( X, X ) ] )
% 1.40/1.77 , clause( 31488, [ p18( X, X ) ] )
% 1.40/1.77 , clause( 31489, [ p14( X, X ) ] )
% 1.40/1.77 , clause( 31490, [ p12( X, X ) ] )
% 1.40/1.77 , clause( 31491, [ p25( c36, c33 ) ] )
% 1.40/1.77 , clause( 31492, [ p25( c32, c33 ) ] )
% 1.40/1.77 , clause( 31493, [ p25( c32, c36 ) ] )
% 1.40/1.77 , clause( 31494, [ p2( c32, f9( c31 ) ) ] )
% 1.40/1.77 , clause( 31495, [ p7( f8( c29 ), c30 ) ] )
% 1.40/1.77 , clause( 31496, [ p26( f20( c28, c37 ), c34 ) ] )
% 1.40/1.77 , clause( 31497, [ p26( f20( c28, c35 ), c34 ) ] )
% 1.40/1.77 , clause( 31498, [ p23( c28, f4( f5( X ) ), f4( X ) ) ] )
% 1.40/1.77 , clause( 31499, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.40/1.77 , clause( 31500, [ p22( X ), ~( p22( Y ) ), ~( p18( Y, X ) ) ] )
% 1.40/1.77 , clause( 31501, [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ] )
% 1.40/1.77 , clause( 31502, [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ] )
% 1.40/1.77 , clause( 31503, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 1.40/1.77 , clause( 31504, [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ] )
% 1.40/1.77 , clause( 31505, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 1.40/1.77 , clause( 31506, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 1.40/1.77 , clause( 31507, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 1.40/1.77 , clause( 31508, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 1.40/1.77 , clause( 31509, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 1.40/1.77 , clause( 31510, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.40/1.77 , clause( 31511, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 1.40/1.77 , clause( 31512, [ p18( X, Y ), ~( p18( Z, X ) ), ~( p18( Z, Y ) ) ] )
% 1.40/1.77 , clause( 31513, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 1.40/1.77 , clause( 31514, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 1.40/1.77 , clause( 31515, [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T
% 1.40/1.77 , X ) ) ] )
% 1.40/1.77 , clause( 31516, [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12(
% 1.40/1.77 T, Y ) ) ] )
% 1.40/1.77 , clause( 31517, [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T
% 1.40/1.77 , X ) ) ] )
% 1.40/1.77 , clause( 31518, [ p26( X, Y ), ~( p19( Z, X ) ), ~( p26( Z, T ) ), ~( p10(
% 1.40/1.77 T, Y ) ) ] )
% 1.40/1.77 , clause( 31519, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c33 ), c34 ),
% 1.40/1.77 f9( f17( c31 ) ) ) ) ] )
% 1.40/1.77 , clause( 31520, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.40/1.77 f9( f17( c31 ) ) ) ) ] )
% 1.40/1.77 , clause( 31521, [ p27( f11( f4( c36 ), c37 ), f11( f4( f21( c36, f9( f17(
% 1.40/1.77 c31 ) ) ) ), c37 ) ) ] )
% 1.40/1.77 , clause( 31522, [ p27( f11( f4( c33 ), c35 ), f11( f4( f21( c33, f9( f17(
% 1.40/1.77 c31 ) ) ) ), c35 ) ) ] )
% 1.40/1.77 , clause( 31523, [ ~( p2( f11( f4( f21( c32, f9( f17( c31 ) ) ) ), c34 ),
% 1.40/1.77 f11( f4( c32 ), c34 ) ) ) ] )
% 1.40/1.77 , clause( 31524, [ p2( f21( X, Y ), f21( Z, T ) ), ~( p2( X, Z ) ), ~( p2(
% 1.40/1.77 Y, T ) ) ] )
% 1.40/1.77 , clause( 31525, [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2(
% 1.40/1.77 Y, T ) ) ] )
% 1.40/1.77 , clause( 31526, [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7(
% 1.40/1.77 X, Z ) ) ] )
% 1.40/1.77 , clause( 31527, [ p19( f20( X, Y ), f20( Z, T ) ), ~( p10( Y, T ) ), ~(
% 1.40/1.77 p18( X, Z ) ) ] )
% 1.40/1.77 , clause( 31528, [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3(
% 1.40/1.77 X, Z ) ) ] )
% 1.40/1.77 , clause( 31529, [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2(
% 1.40/1.77 Y, T ) ) ] )
% 1.40/1.77 , clause( 31530, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.40/1.77 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.40/1.77 , clause( 31531, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.40/1.77 X, c36 ) ), ~( p25( c32, X ) ) ] )
% 1.40/1.77 , clause( 31532, [ p10( X, Y ), p26( f20( c28, X ), Y ), ~( p24( f15( c30,
% 1.40/1.77 f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.40/1.77 , clause( 31533, [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p18(
% 1.40/1.77 W, X ) ), ~( p23( W, U, T ) ) ] )
% 1.40/1.77 , clause( 31534, [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ),
% 1.40/1.77 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.40/1.77 , clause( 31535, [ p26( f20( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4(
% 1.40/1.77 T ), Y ) ), ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.40/1.77 ] ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 5, [ p2( X, X ) ] )
% 1.40/1.77 , clause( 31486, [ p2( X, X ) ] )
% 1.40/1.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 10, [ p25( c36, c33 ) ] )
% 1.40/1.77 , clause( 31491, [ p25( c36, c33 ) ] )
% 1.40/1.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 12, [ p25( c32, c36 ) ] )
% 1.40/1.77 , clause( 31493, [ p25( c32, c36 ) ] )
% 1.40/1.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.40/1.77 , clause( 31499, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.40/1.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.40/1.77 , clause( 31510, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.40/1.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.40/1.77 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.40/1.77 f17( c31 ) ) ) ) ] )
% 1.40/1.77 , clause( 31520, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.40/1.77 f9( f17( c31 ) ) ) ) ] )
% 1.40/1.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.40/1.77 , X ) ), ~( p25( X, c33 ) ) ] )
% 1.40/1.77 , clause( 31530, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.40/1.77 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.40/1.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.40/1.77 2 ), ==>( 2, 1 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 resolution(
% 1.40/1.77 clause( 31566, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.40/1.77 , clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.40/1.77 , 2, clause( 5, [ p2( X, X ) ] )
% 1.40/1.77 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 1.40/1.77 substitution( 1, [ :=( X, X )] )).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 139, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.40/1.77 , clause( 31566, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.40/1.77 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.40/1.77 ), ==>( 1, 0 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 resolution(
% 1.40/1.77 clause( 31568, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f16( f11( f4(
% 1.40/1.77 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.40/1.77 , clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.40/1.77 , 2, clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.40/1.77 f9( f17( c31 ) ) ) ) ] )
% 1.40/1.77 , 0, substitution( 0, [ :=( X, X ), :=( Y, f16( f11( f4( c36 ), c34 ), f9(
% 1.40/1.77 f17( c31 ) ) ) ), :=( Z, f11( f4( c32 ), c34 ) )] ), substitution( 1, [] )
% 1.40/1.77 ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 331, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 1.40/1.77 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.40/1.77 , clause( 31568, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f16( f11( f4(
% 1.40/1.77 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.40/1.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.40/1.77 0 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 resolution(
% 1.40/1.77 clause( 31569, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.40/1.77 c32, c36 ) ) ] )
% 1.40/1.77 , clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.40/1.77 c32, X ) ), ~( p25( X, c33 ) ) ] )
% 1.40/1.77 , 2, clause( 10, [ p25( c36, c33 ) ] )
% 1.40/1.77 , 0, substitution( 0, [ :=( X, c36 )] ), substitution( 1, [] )).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 resolution(
% 1.40/1.77 clause( 31570, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.40/1.77 , clause( 31569, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~(
% 1.40/1.77 p25( c32, c36 ) ) ] )
% 1.40/1.77 , 1, clause( 12, [ p25( c32, c36 ) ] )
% 1.40/1.77 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 694, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.40/1.77 , clause( 31570, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.40/1.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 resolution(
% 1.40/1.77 clause( 31571, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.40/1.77 , clause( 139, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.40/1.77 , 1, clause( 694, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.40/1.77 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) ), :=( Y, f11( f4( c32
% 1.40/1.77 ), c34 ) )] ), substitution( 1, [] )).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 699, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.40/1.77 , clause( 31571, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.40/1.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 resolution(
% 1.40/1.77 clause( 31572, [ p2( f11( f4( c36 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.40/1.77 f17( c31 ) ) ) ) ] )
% 1.40/1.77 , clause( 331, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ),
% 1.40/1.77 ~( p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.40/1.77 , 1, clause( 699, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.40/1.77 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 1.40/1.77 , [] )).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 resolution(
% 1.40/1.77 clause( 31573, [] )
% 1.40/1.77 , clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.40/1.77 , 0, clause( 31572, [ p2( f11( f4( c36 ), c34 ), f16( f11( f4( c36 ), c34 )
% 1.40/1.77 , f9( f17( c31 ) ) ) ) ] )
% 1.40/1.77 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 1.40/1.77 , [] )).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 subsumption(
% 1.40/1.77 clause( 31479, [] )
% 1.40/1.77 , clause( 31573, [] )
% 1.40/1.77 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 end.
% 1.40/1.77
% 1.40/1.77 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.40/1.77
% 1.40/1.77 Memory use:
% 1.40/1.77
% 1.40/1.77 space for terms: 598661
% 1.40/1.77 space for clauses: 2414168
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 clauses generated: 32356
% 1.40/1.77 clauses kept: 31480
% 1.40/1.77 clauses selected: 846
% 1.40/1.77 clauses deleted: 1139
% 1.40/1.77 clauses inuse deleted: 24
% 1.40/1.77
% 1.40/1.77 subsentry: 101896
% 1.40/1.77 literals s-matched: 92329
% 1.40/1.77 literals matched: 92329
% 1.40/1.77 full subsumption: 853
% 1.40/1.77
% 1.40/1.77 checksum: 549530126
% 1.40/1.77
% 1.40/1.77
% 1.40/1.77 Bliksem ended
%------------------------------------------------------------------------------