TSTP Solution File: SYN661-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN661-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 02:53:45 EDT 2022
% Result : Unsatisfiable 1.30s 1.76s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN661-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.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 : Mon Jul 11 19:46:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/1.58 *** allocated 10000 integers for termspace/termends
% 0.76/1.58 *** allocated 10000 integers for clauses
% 0.76/1.58 *** allocated 10000 integers for justifications
% 0.76/1.58 Bliksem 1.12
% 0.76/1.58
% 0.76/1.58
% 0.76/1.58 Automatic Strategy Selection
% 0.76/1.58
% 0.76/1.58 Clauses:
% 0.76/1.58 [
% 0.76/1.58 [ p22( c28 ) ],
% 0.76/1.58 [ p10( X, X ) ],
% 0.76/1.58 [ p7( X, X ) ],
% 0.76/1.58 [ p6( X, X ) ],
% 0.76/1.58 [ p3( X, X ) ],
% 0.76/1.58 [ p2( X, X ) ],
% 0.76/1.58 [ p19( X, X ) ],
% 0.76/1.58 [ p18( X, X ) ],
% 0.76/1.58 [ p14( X, X ) ],
% 0.76/1.58 [ p12( X, X ) ],
% 0.76/1.58 [ p10( c37, c34 ) ],
% 0.76/1.58 [ p25( c36, c33 ) ],
% 0.76/1.58 [ p25( c32, c36 ) ],
% 0.76/1.58 [ p25( c32, c33 ) ],
% 0.76/1.58 [ p2( c32, f9( c31 ) ) ],
% 0.76/1.58 [ p7( f8( c29 ), c30 ) ],
% 0.76/1.58 [ p26( f20( c28, c35 ), c34 ) ],
% 0.76/1.58 [ p23( c28, f4( f5( X ) ), f4( X ) ) ],
% 0.76/1.58 [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ],
% 0.76/1.58 [ p22( X ), ~( p22( Y ) ), ~( p18( Y, X ) ) ],
% 0.76/1.58 [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ],
% 0.76/1.58 [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ],
% 0.76/1.58 [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.76/1.58 [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ],
% 0.76/1.58 [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.76/1.58 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.76/1.58 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.76/1.58 [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.76/1.58 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.76/1.58 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.76/1.58 [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 0.76/1.58 [ p18( X, Y ), ~( p18( Z, X ) ), ~( p18( Z, Y ) ) ],
% 0.76/1.58 [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 0.76/1.58 [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.76/1.58 [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T, X ) ) ],
% 0.76/1.58 [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( T, Y ) ) ]
% 0.76/1.58 ,
% 0.76/1.58 [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T, X ) ) ],
% 0.76/1.58 [ p26( X, Y ), ~( p19( Z, X ) ), ~( p26( Z, T ) ), ~( p10( T, Y ) ) ]
% 0.76/1.58 ,
% 0.76/1.58 [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c33 ), c34 ), f9( f17( c31 )
% 0.76/1.58 ) ) ) ],
% 0.76/1.58 [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9( f17( c31 )
% 0.76/1.58 ) ) ) ],
% 0.76/1.58 [ p27( f11( f4( c33 ), c35 ), f11( f4( f21( c33, f9( f17( c31 ) ) ) ),
% 0.76/1.58 c35 ) ) ],
% 0.76/1.58 [ p25( f11( f4( c36 ), c37 ), f11( f4( f21( c36, f9( f17( c31 ) ) ) ),
% 0.76/1.58 c37 ) ) ],
% 0.76/1.58 [ p2( f21( X, Y ), f21( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.76/1.58 ,
% 0.76/1.58 [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.76/1.58 ,
% 0.76/1.58 [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.76/1.58 ,
% 0.76/1.58 [ p19( f20( X, Y ), f20( Z, T ) ), ~( p10( Y, T ) ), ~( p18( X, Z ) ) ]
% 0.76/1.58 ,
% 0.76/1.58 [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( X, Z ) ) ]
% 0.76/1.58 ,
% 0.76/1.58 [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.76/1.58 ,
% 0.76/1.58 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c33 ) ),
% 0.76/1.58 ~( p25( c32, X ) ) ],
% 0.76/1.58 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c36 ) ),
% 0.76/1.58 ~( p25( c32, X ) ) ],
% 0.76/1.58 [ p10( X, Y ), p26( f20( c28, X ), Y ), ~( p24( f15( c30, f13( X, Z ) )
% 0.76/1.58 , f13( Y, T ) ) ) ],
% 0.76/1.58 [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p18( W, X ) ),
% 0.76/1.58 ~( p23( W, U, T ) ) ],
% 0.76/1.58 [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~( p24( f15( c30
% 0.76/1.58 , f13( X, Z ) ), f13( Y, T ) ) ) ],
% 0.76/1.58 [ p26( f20( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( T ), Y ) ),
% 0.76/1.58 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ]
% 0.76/1.58 ] .
% 0.76/1.58
% 0.76/1.58
% 0.76/1.58 percentage equality = 0.000000, percentage horn = 0.962963
% 0.76/1.58 This is a near-Horn, non-equality problem
% 0.76/1.58
% 0.76/1.58
% 0.76/1.58 Options Used:
% 0.76/1.58
% 0.76/1.58 useres = 1
% 0.76/1.58 useparamod = 0
% 0.76/1.58 useeqrefl = 0
% 0.76/1.58 useeqfact = 0
% 0.76/1.58 usefactor = 1
% 0.76/1.58 usesimpsplitting = 0
% 0.76/1.58 usesimpdemod = 0
% 0.76/1.58 usesimpres = 4
% 0.76/1.58
% 0.76/1.58 resimpinuse = 1000
% 0.76/1.58 resimpclauses = 20000
% 0.76/1.58 substype = standard
% 0.76/1.58 backwardsubs = 1
% 0.76/1.58 selectoldest = 5
% 0.76/1.58
% 0.76/1.58 litorderings [0] = split
% 0.76/1.58 litorderings [1] = liftord
% 0.76/1.58
% 0.76/1.58 termordering = none
% 0.76/1.58
% 0.76/1.58 litapriori = 1
% 0.76/1.58 termapriori = 0
% 0.76/1.58 litaposteriori = 0
% 0.76/1.58 termaposteriori = 0
% 0.76/1.58 demodaposteriori = 0
% 0.76/1.58 ordereqreflfact = 0
% 0.76/1.58
% 0.76/1.58 litselect = negative
% 0.76/1.58
% 0.76/1.58 maxweight = 30000
% 0.76/1.58 maxdepth = 30000
% 0.76/1.58 maxlength = 115
% 0.76/1.58 maxnrvars = 195
% 0.76/1.58 excuselevel = 0
% 0.76/1.58 increasemaxweight = 0
% 0.76/1.58
% 0.76/1.58 maxselected = 10000000
% 0.76/1.58 maxnrclauses = 10000000
% 0.76/1.58
% 0.76/1.58 showgenerated = 0
% 1.30/1.76 showkept = 0
% 1.30/1.76 showselected = 0
% 1.30/1.76 showdeleted = 0
% 1.30/1.76 showresimp = 1
% 1.30/1.76 showstatus = 2000
% 1.30/1.76
% 1.30/1.76 prologoutput = 1
% 1.30/1.76 nrgoals = 5000000
% 1.30/1.76 totalproof = 1
% 1.30/1.76
% 1.30/1.76 Symbols occurring in the translation:
% 1.30/1.76
% 1.30/1.76 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.30/1.76 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.30/1.76 ! [4, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.30/1.76 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.30/1.76 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.30/1.76 c28 [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.30/1.76 p22 [40, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.30/1.76 p10 [42, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.30/1.76 p7 [44, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.30/1.76 p6 [46, 2] (w:1, o:153, a:1, s:1, b:0),
% 1.30/1.76 p3 [48, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.30/1.76 p2 [50, 2] (w:1, o:159, a:1, s:1, b:0),
% 1.30/1.76 p19 [52, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.30/1.76 p18 [54, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.30/1.76 p14 [56, 2] (w:1, o:157, a:1, s:1, b:0),
% 1.30/1.76 p12 [58, 2] (w:1, o:158, a:1, s:1, b:0),
% 1.30/1.76 c37 [59, 0] (w:1, o:87, a:1, s:1, b:0),
% 1.30/1.76 c34 [60, 0] (w:1, o:92, a:1, s:1, b:0),
% 1.30/1.76 c36 [61, 0] (w:1, o:86, a:1, s:1, b:0),
% 1.30/1.76 c33 [62, 0] (w:1, o:91, a:1, s:1, b:0),
% 1.30/1.76 p25 [63, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.30/1.76 c32 [64, 0] (w:1, o:90, a:1, s:1, b:0),
% 1.30/1.76 c31 [65, 0] (w:1, o:89, a:1, s:1, b:0),
% 1.30/1.76 f9 [66, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.30/1.76 c29 [67, 0] (w:1, o:84, a:1, s:1, b:0),
% 1.30/1.76 f8 [68, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.30/1.76 c30 [69, 0] (w:1, o:88, a:1, s:1, b:0),
% 1.30/1.76 c35 [70, 0] (w:1, o:85, a:1, s:1, b:0),
% 1.30/1.76 f20 [71, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.30/1.76 p26 [72, 2] (w:1, o:162, a:1, s:1, b:0),
% 1.30/1.76 f5 [74, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.30/1.76 f4 [75, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.30/1.76 p23 [76, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.30/1.76 f17 [78, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.30/1.76 f16 [79, 2] (w:1, o:166, a:1, s:1, b:0),
% 1.30/1.76 p27 [112, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.30/1.76 p24 [117, 2] (w:1, o:160, a:1, s:1, b:0),
% 1.30/1.76 f11 [128, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.30/1.76 f21 [129, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.30/1.76 f13 [136, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.30/1.76 f15 [141, 2] (w:1, o:165, a:1, s:1, b:0).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Starting Search:
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 2227
% 1.30/1.76 Kept: 2000
% 1.30/1.76 Inuse: 265
% 1.30/1.76 Deleted: 0
% 1.30/1.76 Deletedinuse: 0
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 4324
% 1.30/1.76 Kept: 4015
% 1.30/1.76 Inuse: 337
% 1.30/1.76 Deleted: 0
% 1.30/1.76 Deletedinuse: 0
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 6415
% 1.30/1.76 Kept: 6020
% 1.30/1.76 Inuse: 396
% 1.30/1.76 Deleted: 0
% 1.30/1.76 Deletedinuse: 0
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 8575
% 1.30/1.76 Kept: 8136
% 1.30/1.76 Inuse: 461
% 1.30/1.76 Deleted: 0
% 1.30/1.76 Deletedinuse: 0
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 10628
% 1.30/1.76 Kept: 10158
% 1.30/1.76 Inuse: 492
% 1.30/1.76 Deleted: 0
% 1.30/1.76 Deletedinuse: 0
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 12729
% 1.30/1.76 Kept: 12234
% 1.30/1.76 Inuse: 526
% 1.30/1.76 Deleted: 0
% 1.30/1.76 Deletedinuse: 0
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 14819
% 1.30/1.76 Kept: 14305
% 1.30/1.76 Inuse: 571
% 1.30/1.76 Deleted: 0
% 1.30/1.76 Deletedinuse: 0
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 16861
% 1.30/1.76 Kept: 16316
% 1.30/1.76 Inuse: 606
% 1.30/1.76 Deleted: 0
% 1.30/1.76 Deletedinuse: 0
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 18967
% 1.30/1.76 Kept: 18374
% 1.30/1.76 Inuse: 645
% 1.30/1.76 Deleted: 0
% 1.30/1.76 Deletedinuse: 0
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying clauses:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 21059
% 1.30/1.76 Kept: 20437
% 1.30/1.76 Inuse: 670
% 1.30/1.76 Deleted: 797
% 1.30/1.76 Deletedinuse: 12
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 23274
% 1.30/1.76 Kept: 22564
% 1.30/1.76 Inuse: 705
% 1.30/1.76 Deleted: 797
% 1.30/1.76 Deletedinuse: 12
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 25331
% 1.30/1.76 Kept: 24596
% 1.30/1.76 Inuse: 731
% 1.30/1.76 Deleted: 809
% 1.30/1.76 Deletedinuse: 24
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 27554
% 1.30/1.76 Kept: 26721
% 1.30/1.76 Inuse: 765
% 1.30/1.76 Deleted: 815
% 1.30/1.76 Deletedinuse: 24
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Intermediate Status:
% 1.30/1.76 Generated: 29708
% 1.30/1.76 Kept: 28790
% 1.30/1.76 Inuse: 800
% 1.30/1.76 Deleted: 815
% 1.30/1.76 Deletedinuse: 24
% 1.30/1.76
% 1.30/1.76 Resimplifying inuse:
% 1.30/1.76 Done
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Bliksems!, er is een bewijs:
% 1.30/1.76 % SZS status Unsatisfiable
% 1.30/1.76 % SZS output start Refutation
% 1.30/1.76
% 1.30/1.76 clause( 5, [ p2( X, X ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 11, [ p25( c36, c33 ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 12, [ p25( c32, c36 ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.30/1.76 f17( c31 ) ) ) ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 48, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.30/1.76 , X ) ), ~( p25( X, c33 ) ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 133, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 326, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 1.30/1.76 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 665, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 670, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.30/1.76 .
% 1.30/1.76 clause( 29807, [] )
% 1.30/1.76 .
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 % SZS output end Refutation
% 1.30/1.76 found a proof!
% 1.30/1.76
% 1.30/1.76 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.30/1.76
% 1.30/1.76 initialclauses(
% 1.30/1.76 [ clause( 29809, [ p22( c28 ) ] )
% 1.30/1.76 , clause( 29810, [ p10( X, X ) ] )
% 1.30/1.76 , clause( 29811, [ p7( X, X ) ] )
% 1.30/1.76 , clause( 29812, [ p6( X, X ) ] )
% 1.30/1.76 , clause( 29813, [ p3( X, X ) ] )
% 1.30/1.76 , clause( 29814, [ p2( X, X ) ] )
% 1.30/1.76 , clause( 29815, [ p19( X, X ) ] )
% 1.30/1.76 , clause( 29816, [ p18( X, X ) ] )
% 1.30/1.76 , clause( 29817, [ p14( X, X ) ] )
% 1.30/1.76 , clause( 29818, [ p12( X, X ) ] )
% 1.30/1.76 , clause( 29819, [ p10( c37, c34 ) ] )
% 1.30/1.76 , clause( 29820, [ p25( c36, c33 ) ] )
% 1.30/1.76 , clause( 29821, [ p25( c32, c36 ) ] )
% 1.30/1.76 , clause( 29822, [ p25( c32, c33 ) ] )
% 1.30/1.76 , clause( 29823, [ p2( c32, f9( c31 ) ) ] )
% 1.30/1.76 , clause( 29824, [ p7( f8( c29 ), c30 ) ] )
% 1.30/1.76 , clause( 29825, [ p26( f20( c28, c35 ), c34 ) ] )
% 1.30/1.76 , clause( 29826, [ p23( c28, f4( f5( X ) ), f4( X ) ) ] )
% 1.30/1.76 , clause( 29827, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.30/1.76 , clause( 29828, [ p22( X ), ~( p22( Y ) ), ~( p18( Y, X ) ) ] )
% 1.30/1.76 , clause( 29829, [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ] )
% 1.30/1.76 , clause( 29830, [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ] )
% 1.30/1.76 , clause( 29831, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 1.30/1.76 , clause( 29832, [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ] )
% 1.30/1.76 , clause( 29833, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 1.30/1.76 , clause( 29834, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 1.30/1.76 , clause( 29835, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 1.30/1.76 , clause( 29836, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 1.30/1.76 , clause( 29837, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 1.30/1.76 , clause( 29838, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.30/1.76 , clause( 29839, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 1.30/1.76 , clause( 29840, [ p18( X, Y ), ~( p18( Z, X ) ), ~( p18( Z, Y ) ) ] )
% 1.30/1.76 , clause( 29841, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 1.30/1.76 , clause( 29842, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 1.30/1.76 , clause( 29843, [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T
% 1.30/1.76 , X ) ) ] )
% 1.30/1.76 , clause( 29844, [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12(
% 1.30/1.76 T, Y ) ) ] )
% 1.30/1.76 , clause( 29845, [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T
% 1.30/1.76 , X ) ) ] )
% 1.30/1.76 , clause( 29846, [ p26( X, Y ), ~( p19( Z, X ) ), ~( p26( Z, T ) ), ~( p10(
% 1.30/1.76 T, Y ) ) ] )
% 1.30/1.76 , clause( 29847, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c33 ), c34 ),
% 1.30/1.76 f9( f17( c31 ) ) ) ) ] )
% 1.30/1.76 , clause( 29848, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.30/1.76 f9( f17( c31 ) ) ) ) ] )
% 1.30/1.76 , clause( 29849, [ p27( f11( f4( c33 ), c35 ), f11( f4( f21( c33, f9( f17(
% 1.30/1.76 c31 ) ) ) ), c35 ) ) ] )
% 1.30/1.76 , clause( 29850, [ p25( f11( f4( c36 ), c37 ), f11( f4( f21( c36, f9( f17(
% 1.30/1.76 c31 ) ) ) ), c37 ) ) ] )
% 1.30/1.76 , clause( 29851, [ p2( f21( X, Y ), f21( Z, T ) ), ~( p2( X, Z ) ), ~( p2(
% 1.30/1.76 Y, T ) ) ] )
% 1.30/1.76 , clause( 29852, [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2(
% 1.30/1.76 Y, T ) ) ] )
% 1.30/1.76 , clause( 29853, [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7(
% 1.30/1.76 X, Z ) ) ] )
% 1.30/1.76 , clause( 29854, [ p19( f20( X, Y ), f20( Z, T ) ), ~( p10( Y, T ) ), ~(
% 1.30/1.76 p18( X, Z ) ) ] )
% 1.30/1.76 , clause( 29855, [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3(
% 1.30/1.76 X, Z ) ) ] )
% 1.30/1.76 , clause( 29856, [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2(
% 1.30/1.76 Y, T ) ) ] )
% 1.30/1.76 , clause( 29857, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.30/1.76 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.30/1.76 , clause( 29858, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.30/1.76 X, c36 ) ), ~( p25( c32, X ) ) ] )
% 1.30/1.76 , clause( 29859, [ p10( X, Y ), p26( f20( c28, X ), Y ), ~( p24( f15( c30,
% 1.30/1.76 f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.30/1.76 , clause( 29860, [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p18(
% 1.30/1.76 W, X ) ), ~( p23( W, U, T ) ) ] )
% 1.30/1.76 , clause( 29861, [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ),
% 1.30/1.76 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.30/1.76 , clause( 29862, [ p26( f20( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4(
% 1.30/1.76 T ), Y ) ), ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.30/1.76 ] ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 5, [ p2( X, X ) ] )
% 1.30/1.76 , clause( 29814, [ p2( X, X ) ] )
% 1.30/1.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 11, [ p25( c36, c33 ) ] )
% 1.30/1.76 , clause( 29820, [ p25( c36, c33 ) ] )
% 1.30/1.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 12, [ p25( c32, c36 ) ] )
% 1.30/1.76 , clause( 29821, [ p25( c32, c36 ) ] )
% 1.30/1.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.30/1.76 , clause( 29827, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.30/1.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.30/1.76 , clause( 29838, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.30/1.76 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.30/1.76 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.30/1.76 f17( c31 ) ) ) ) ] )
% 1.30/1.76 , clause( 29848, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.30/1.76 f9( f17( c31 ) ) ) ) ] )
% 1.30/1.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 48, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.30/1.76 , X ) ), ~( p25( X, c33 ) ) ] )
% 1.30/1.76 , clause( 29857, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.30/1.76 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.30/1.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.30/1.76 2 ), ==>( 2, 1 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 resolution(
% 1.30/1.76 clause( 29893, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.30/1.76 , clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.30/1.76 , 2, clause( 5, [ p2( X, X ) ] )
% 1.30/1.76 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 1.30/1.76 substitution( 1, [ :=( X, X )] )).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 133, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.30/1.76 , clause( 29893, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.30/1.76 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.30/1.76 ), ==>( 1, 0 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 resolution(
% 1.30/1.76 clause( 29895, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f16( f11( f4(
% 1.30/1.76 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.30/1.76 , clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.30/1.76 , 2, clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.30/1.76 f9( f17( c31 ) ) ) ) ] )
% 1.30/1.76 , 0, substitution( 0, [ :=( X, X ), :=( Y, f16( f11( f4( c36 ), c34 ), f9(
% 1.30/1.76 f17( c31 ) ) ) ), :=( Z, f11( f4( c32 ), c34 ) )] ), substitution( 1, [] )
% 1.30/1.76 ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 326, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 1.30/1.76 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.30/1.76 , clause( 29895, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f16( f11( f4(
% 1.30/1.76 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.30/1.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.30/1.76 0 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 resolution(
% 1.30/1.76 clause( 29896, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.30/1.76 c32, c36 ) ) ] )
% 1.30/1.76 , clause( 48, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.30/1.76 c32, X ) ), ~( p25( X, c33 ) ) ] )
% 1.30/1.76 , 2, clause( 11, [ p25( c36, c33 ) ] )
% 1.30/1.76 , 0, substitution( 0, [ :=( X, c36 )] ), substitution( 1, [] )).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 resolution(
% 1.30/1.76 clause( 29897, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.30/1.76 , clause( 29896, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~(
% 1.30/1.76 p25( c32, c36 ) ) ] )
% 1.30/1.76 , 1, clause( 12, [ p25( c32, c36 ) ] )
% 1.30/1.76 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 665, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.30/1.76 , clause( 29897, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.30/1.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 resolution(
% 1.30/1.76 clause( 29898, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.30/1.76 , clause( 133, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.30/1.76 , 1, clause( 665, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.30/1.76 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) ), :=( Y, f11( f4( c32
% 1.30/1.76 ), c34 ) )] ), substitution( 1, [] )).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 670, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.30/1.76 , clause( 29898, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.30/1.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 resolution(
% 1.30/1.76 clause( 29899, [ p2( f11( f4( c36 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.30/1.76 f17( c31 ) ) ) ) ] )
% 1.30/1.76 , clause( 326, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ),
% 1.30/1.76 ~( p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.30/1.76 , 1, clause( 670, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.30/1.76 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 1.30/1.76 , [] )).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 resolution(
% 1.30/1.76 clause( 29900, [] )
% 1.30/1.76 , clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.30/1.76 , 0, clause( 29899, [ p2( f11( f4( c36 ), c34 ), f16( f11( f4( c36 ), c34 )
% 1.30/1.76 , f9( f17( c31 ) ) ) ) ] )
% 1.30/1.76 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 1.30/1.76 , [] )).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 subsumption(
% 1.30/1.76 clause( 29807, [] )
% 1.30/1.76 , clause( 29900, [] )
% 1.30/1.76 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 end.
% 1.30/1.76
% 1.30/1.76 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.30/1.76
% 1.30/1.76 Memory use:
% 1.30/1.76
% 1.30/1.76 space for terms: 547911
% 1.30/1.76 space for clauses: 2152199
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 clauses generated: 30765
% 1.30/1.76 clauses kept: 29808
% 1.30/1.76 clauses selected: 827
% 1.30/1.76 clauses deleted: 833
% 1.30/1.76 clauses inuse deleted: 24
% 1.30/1.76
% 1.30/1.76 subsentry: 100654
% 1.30/1.76 literals s-matched: 89016
% 1.30/1.76 literals matched: 89016
% 1.30/1.76 full subsumption: 824
% 1.30/1.76
% 1.30/1.76 checksum: 1449292495
% 1.30/1.76
% 1.30/1.76
% 1.30/1.76 Bliksem ended
%------------------------------------------------------------------------------