%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN675-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 02:53:51 EDT 2022
% Result : Unsatisfiable 1.00s 1.38s
% Output : Refutation 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.07 % Problem : SYN675-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.07 % Command : bliksem %s
% 0.07/0.26 % Computer : n016.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % DateTime : Tue Jul 12 04:33:28 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.88/1.27 *** allocated 10000 integers for termspace/termends
% 0.88/1.27 *** allocated 10000 integers for clauses
% 0.88/1.27 *** allocated 10000 integers for justifications
% 0.88/1.27 Bliksem 1.12
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Automatic Strategy Selection
% 0.88/1.27
% 0.88/1.27 Clauses:
% 0.88/1.27 [
% 0.88/1.27 [ p22( c28 ) ],
% 0.88/1.27 [ p10( X, X ) ],
% 0.88/1.27 [ p7( X, X ) ],
% 0.88/1.27 [ p6( X, X ) ],
% 0.88/1.27 [ p3( X, X ) ],
% 0.88/1.27 [ p2( X, X ) ],
% 0.88/1.27 [ p19( X, X ) ],
% 0.88/1.27 [ p18( X, X ) ],
% 0.88/1.27 [ p14( X, X ) ],
% 0.88/1.27 [ p12( X, X ) ],
% 0.88/1.27 [ p10( c37, c34 ) ],
% 0.88/1.27 [ p25( c36, c33 ) ],
% 0.88/1.27 [ p25( c32, c36 ) ],
% 0.88/1.27 [ p25( c32, c33 ) ],
% 0.88/1.27 [ p2( c32, f9( c31 ) ) ],
% 0.88/1.27 [ p7( f8( c29 ), c30 ) ],
% 0.88/1.27 [ p26( f20( c28, c35 ), c34 ) ],
% 0.88/1.27 [ p23( c28, f4( f5( X ) ), f4( X ) ) ],
% 0.88/1.27 [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ],
% 0.88/1.27 [ p22( X ), ~( p22( Y ) ), ~( p18( Y, X ) ) ],
% 0.88/1.27 [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ],
% 0.88/1.27 [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ],
% 0.88/1.27 [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.88/1.27 [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ],
% 0.88/1.27 [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.88/1.27 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.88/1.27 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.88/1.27 [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.88/1.27 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.88/1.27 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.88/1.27 [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 0.88/1.27 [ p18( X, Y ), ~( p18( Z, X ) ), ~( p18( Z, Y ) ) ],
% 0.88/1.27 [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 0.88/1.27 [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.88/1.27 [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T, X ) ) ],
% 0.88/1.27 [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( T, Y ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T, X ) ) ],
% 0.88/1.27 [ p26( X, Y ), ~( p19( Z, X ) ), ~( p26( Z, T ) ), ~( p10( T, Y ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c33 ), c34 ), f9( f17( c31 )
% 0.88/1.27 ) ) ) ],
% 0.88/1.27 [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9( f17( c31 )
% 0.88/1.27 ) ) ) ],
% 0.88/1.27 [ p27( f11( f4( c33 ), c35 ), f11( f4( f21( c33, f9( f17( c31 ) ) ) ),
% 0.88/1.27 c35 ) ) ],
% 0.88/1.27 [ p25( f11( f4( c36 ), c37 ), f11( f4( f21( c36, f9( f17( c31 ) ) ) ),
% 0.88/1.27 c37 ) ) ],
% 0.88/1.27 [ ~( p2( f11( f4( f21( c32, f9( f17( c31 ) ) ) ), c34 ), f11( f4( c32 )
% 0.88/1.27 , c34 ) ) ) ],
% 0.88/1.27 [ p2( f21( X, Y ), f21( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ p19( f20( X, Y ), f20( Z, T ) ), ~( p10( Y, T ) ), ~( p18( X, Z ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( X, Z ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c33 ) ),
% 0.88/1.27 ~( p25( c32, X ) ) ],
% 0.88/1.27 [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c36 ) ),
% 0.88/1.27 ~( p25( c32, X ) ) ],
% 0.88/1.27 [ p10( X, Y ), p26( f20( c28, X ), Y ), ~( p24( f15( c30, f13( X, Z ) )
% 0.88/1.27 , f13( Y, T ) ) ) ],
% 0.88/1.27 [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p18( W, X ) ),
% 0.88/1.27 ~( p23( W, U, T ) ) ],
% 0.88/1.27 [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~( p24( f15( c30
% 0.88/1.27 , f13( X, Z ) ), f13( Y, T ) ) ) ],
% 0.88/1.27 [ p26( f20( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( T ), Y ) ),
% 0.88/1.27 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ]
% 0.88/1.27 ] .
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 percentage equality = 0.000000, percentage horn = 0.963636
% 0.88/1.27 This is a near-Horn, non-equality problem
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Options Used:
% 0.88/1.27
% 0.88/1.27 useres = 1
% 0.88/1.27 useparamod = 0
% 0.88/1.27 useeqrefl = 0
% 0.88/1.27 useeqfact = 0
% 0.88/1.27 usefactor = 1
% 0.88/1.27 usesimpsplitting = 0
% 0.88/1.27 usesimpdemod = 0
% 0.88/1.27 usesimpres = 4
% 0.88/1.27
% 0.88/1.27 resimpinuse = 1000
% 0.88/1.27 resimpclauses = 20000
% 0.88/1.27 substype = standard
% 0.88/1.27 backwardsubs = 1
% 0.88/1.27 selectoldest = 5
% 0.88/1.27
% 0.88/1.27 litorderings [0] = split
% 0.88/1.27 litorderings [1] = liftord
% 0.88/1.27
% 0.88/1.27 termordering = none
% 0.88/1.27
% 0.88/1.27 litapriori = 1
% 0.88/1.27 termapriori = 0
% 0.88/1.27 litaposteriori = 0
% 0.88/1.27 termaposteriori = 0
% 0.88/1.27 demodaposteriori = 0
% 0.88/1.27 ordereqreflfact = 0
% 0.88/1.27
% 0.88/1.27 litselect = negative
% 0.88/1.27
% 0.88/1.27 maxweight = 30000
% 0.88/1.27 maxdepth = 30000
% 0.88/1.27 maxlength = 115
% 0.88/1.27 maxnrvars = 195
% 0.88/1.27 excuselevel = 0
% 0.88/1.27 increasemaxweight = 0
% 1.00/1.38
% 1.00/1.38 maxselected = 10000000
% 1.00/1.38 maxnrclauses = 10000000
% 1.00/1.38
% 1.00/1.38 showgenerated = 0
% 1.00/1.38 showkept = 0
% 1.00/1.38 showselected = 0
% 1.00/1.38 showdeleted = 0
% 1.00/1.38 showresimp = 1
% 1.00/1.38 showstatus = 2000
% 1.00/1.38
% 1.00/1.38 prologoutput = 1
% 1.00/1.38 nrgoals = 5000000
% 1.00/1.38 totalproof = 1
% 1.00/1.38
% 1.00/1.38 Symbols occurring in the translation:
% 1.00/1.38
% 1.00/1.38 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.38 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.00/1.38 ! [4, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.00/1.38 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.38 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.38 c28 [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.00/1.38 p22 [40, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.00/1.38 p10 [42, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.00/1.38 p7 [44, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.00/1.38 p6 [46, 2] (w:1, o:153, a:1, s:1, b:0),
% 1.00/1.38 p3 [48, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.00/1.38 p2 [50, 2] (w:1, o:159, a:1, s:1, b:0),
% 1.00/1.38 p19 [52, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.00/1.38 p18 [54, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.00/1.38 p14 [56, 2] (w:1, o:157, a:1, s:1, b:0),
% 1.00/1.38 p12 [58, 2] (w:1, o:158, a:1, s:1, b:0),
% 1.00/1.38 c37 [59, 0] (w:1, o:87, a:1, s:1, b:0),
% 1.00/1.38 c34 [60, 0] (w:1, o:92, a:1, s:1, b:0),
% 1.00/1.38 c36 [61, 0] (w:1, o:86, a:1, s:1, b:0),
% 1.00/1.38 c33 [62, 0] (w:1, o:91, a:1, s:1, b:0),
% 1.00/1.38 p25 [63, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.00/1.38 c32 [64, 0] (w:1, o:90, a:1, s:1, b:0),
% 1.00/1.38 c31 [65, 0] (w:1, o:89, a:1, s:1, b:0),
% 1.00/1.38 f9 [66, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.00/1.38 c29 [67, 0] (w:1, o:84, a:1, s:1, b:0),
% 1.00/1.38 f8 [68, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.00/1.38 c30 [69, 0] (w:1, o:88, a:1, s:1, b:0),
% 1.00/1.38 c35 [70, 0] (w:1, o:85, a:1, s:1, b:0),
% 1.00/1.38 f20 [71, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.00/1.38 p26 [72, 2] (w:1, o:162, a:1, s:1, b:0),
% 1.00/1.38 f5 [74, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.00/1.38 f4 [75, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.00/1.38 p23 [76, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.00/1.38 f17 [78, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.00/1.38 f16 [79, 2] (w:1, o:166, a:1, s:1, b:0),
% 1.00/1.38 p27 [112, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.00/1.38 p24 [117, 2] (w:1, o:160, a:1, s:1, b:0),
% 1.00/1.38 f11 [128, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.00/1.38 f21 [129, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.00/1.38 f13 [136, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.00/1.38 f15 [141, 2] (w:1, o:165, a:1, s:1, b:0).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Starting Search:
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 2226
% 1.00/1.38 Kept: 2001
% 1.00/1.38 Inuse: 265
% 1.00/1.38 Deleted: 0
% 1.00/1.38 Deletedinuse: 0
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 4337
% 1.00/1.38 Kept: 4027
% 1.00/1.38 Inuse: 341
% 1.00/1.38 Deleted: 0
% 1.00/1.38 Deletedinuse: 0
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 6557
% 1.00/1.38 Kept: 6161
% 1.00/1.38 Inuse: 406
% 1.00/1.38 Deleted: 0
% 1.00/1.38 Deletedinuse: 0
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 8688
% 1.00/1.38 Kept: 8245
% 1.00/1.38 Inuse: 466
% 1.00/1.38 Deleted: 0
% 1.00/1.38 Deletedinuse: 0
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 10753
% 1.00/1.38 Kept: 10279
% 1.00/1.38 Inuse: 497
% 1.00/1.38 Deleted: 0
% 1.00/1.38 Deletedinuse: 0
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 12861
% 1.00/1.38 Kept: 12363
% 1.00/1.38 Inuse: 526
% 1.00/1.38 Deleted: 0
% 1.00/1.38 Deletedinuse: 0
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 15015
% 1.00/1.38 Kept: 14500
% 1.00/1.38 Inuse: 576
% 1.00/1.38 Deleted: 0
% 1.00/1.38 Deletedinuse: 0
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 17118
% 1.00/1.38 Kept: 16553
% 1.00/1.38 Inuse: 620
% 1.00/1.38 Deleted: 0
% 1.00/1.38 Deletedinuse: 0
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 19375
% 1.00/1.38 Kept: 18774
% 1.00/1.38 Inuse: 652
% 1.00/1.38 Deleted: 0
% 1.00/1.38 Deletedinuse: 0
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying clauses:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 21465
% 1.00/1.38 Kept: 20835
% 1.00/1.38 Inuse: 677
% 1.00/1.38 Deleted: 791
% 1.00/1.38 Deletedinuse: 12
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 23614
% 1.00/1.38 Kept: 22892
% 1.00/1.38 Inuse: 711
% 1.00/1.38 Deleted: 793
% 1.00/1.38 Deletedinuse: 14
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 25853
% 1.00/1.38 Kept: 25113
% 1.00/1.38 Inuse: 736
% 1.00/1.38 Deleted: 803
% 1.00/1.38 Deletedinuse: 24
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Intermediate Status:
% 1.00/1.38 Generated: 28025
% 1.00/1.38 Kept: 27166
% 1.00/1.38 Inuse: 774
% 1.00/1.38 Deleted: 809
% 1.00/1.38 Deletedinuse: 24
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38 Resimplifying inuse:
% 1.00/1.38 Done
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Bliksems!, er is een bewijs:
% 1.00/1.38 % SZS status Unsatisfiable
% 1.00/1.38 % SZS output start Refutation
% 1.00/1.38
% 1.00/1.38 clause( 5, [ p2( X, X ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 11, [ p25( c36, c33 ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 12, [ p25( c32, c36 ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.00/1.38 f17( c31 ) ) ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.00/1.38 , X ) ), ~( p25( X, c33 ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 127, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 321, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 1.00/1.38 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 686, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 691, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.00/1.38 .
% 1.00/1.38 clause( 28904, [] )
% 1.00/1.38 .
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 % SZS output end Refutation
% 1.00/1.38 found a proof!
% 1.00/1.38
% 1.00/1.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.00/1.38
% 1.00/1.38 initialclauses(
% 1.00/1.38 [ clause( 28906, [ p22( c28 ) ] )
% 1.00/1.38 , clause( 28907, [ p10( X, X ) ] )
% 1.00/1.38 , clause( 28908, [ p7( X, X ) ] )
% 1.00/1.38 , clause( 28909, [ p6( X, X ) ] )
% 1.00/1.38 , clause( 28910, [ p3( X, X ) ] )
% 1.00/1.38 , clause( 28911, [ p2( X, X ) ] )
% 1.00/1.38 , clause( 28912, [ p19( X, X ) ] )
% 1.00/1.38 , clause( 28913, [ p18( X, X ) ] )
% 1.00/1.38 , clause( 28914, [ p14( X, X ) ] )
% 1.00/1.38 , clause( 28915, [ p12( X, X ) ] )
% 1.00/1.38 , clause( 28916, [ p10( c37, c34 ) ] )
% 1.00/1.38 , clause( 28917, [ p25( c36, c33 ) ] )
% 1.00/1.38 , clause( 28918, [ p25( c32, c36 ) ] )
% 1.00/1.38 , clause( 28919, [ p25( c32, c33 ) ] )
% 1.00/1.38 , clause( 28920, [ p2( c32, f9( c31 ) ) ] )
% 1.00/1.38 , clause( 28921, [ p7( f8( c29 ), c30 ) ] )
% 1.00/1.38 , clause( 28922, [ p26( f20( c28, c35 ), c34 ) ] )
% 1.00/1.38 , clause( 28923, [ p23( c28, f4( f5( X ) ), f4( X ) ) ] )
% 1.00/1.38 , clause( 28924, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.00/1.38 , clause( 28925, [ p22( X ), ~( p22( Y ) ), ~( p18( Y, X ) ) ] )
% 1.00/1.38 , clause( 28926, [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ] )
% 1.00/1.38 , clause( 28927, [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ] )
% 1.00/1.38 , clause( 28928, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 1.00/1.38 , clause( 28929, [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ] )
% 1.00/1.38 , clause( 28930, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 1.00/1.38 , clause( 28931, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 1.00/1.38 , clause( 28932, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 1.00/1.38 , clause( 28933, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 1.00/1.38 , clause( 28934, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 1.00/1.38 , clause( 28935, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.00/1.38 , clause( 28936, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 1.00/1.38 , clause( 28937, [ p18( X, Y ), ~( p18( Z, X ) ), ~( p18( Z, Y ) ) ] )
% 1.00/1.38 , clause( 28938, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 1.00/1.38 , clause( 28939, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 1.00/1.38 , clause( 28940, [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T
% 1.00/1.38 , X ) ) ] )
% 1.00/1.38 , clause( 28941, [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12(
% 1.00/1.38 T, Y ) ) ] )
% 1.00/1.38 , clause( 28942, [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T
% 1.00/1.38 , X ) ) ] )
% 1.00/1.38 , clause( 28943, [ p26( X, Y ), ~( p19( Z, X ) ), ~( p26( Z, T ) ), ~( p10(
% 1.00/1.38 T, Y ) ) ] )
% 1.00/1.38 , clause( 28944, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c33 ), c34 ),
% 1.00/1.38 f9( f17( c31 ) ) ) ) ] )
% 1.00/1.38 , clause( 28945, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.00/1.38 f9( f17( c31 ) ) ) ) ] )
% 1.00/1.38 , clause( 28946, [ p27( f11( f4( c33 ), c35 ), f11( f4( f21( c33, f9( f17(
% 1.00/1.38 c31 ) ) ) ), c35 ) ) ] )
% 1.00/1.38 , clause( 28947, [ p25( f11( f4( c36 ), c37 ), f11( f4( f21( c36, f9( f17(
% 1.00/1.38 c31 ) ) ) ), c37 ) ) ] )
% 1.00/1.38 , clause( 28948, [ ~( p2( f11( f4( f21( c32, f9( f17( c31 ) ) ) ), c34 ),
% 1.00/1.38 f11( f4( c32 ), c34 ) ) ) ] )
% 1.00/1.38 , clause( 28949, [ p2( f21( X, Y ), f21( Z, T ) ), ~( p2( X, Z ) ), ~( p2(
% 1.00/1.38 Y, T ) ) ] )
% 1.00/1.38 , clause( 28950, [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2(
% 1.00/1.38 Y, T ) ) ] )
% 1.00/1.38 , clause( 28951, [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7(
% 1.00/1.38 X, Z ) ) ] )
% 1.00/1.38 , clause( 28952, [ p19( f20( X, Y ), f20( Z, T ) ), ~( p10( Y, T ) ), ~(
% 1.00/1.38 p18( X, Z ) ) ] )
% 1.00/1.38 , clause( 28953, [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3(
% 1.00/1.38 X, Z ) ) ] )
% 1.00/1.38 , clause( 28954, [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2(
% 1.00/1.38 Y, T ) ) ] )
% 1.00/1.38 , clause( 28955, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.00/1.38 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.00/1.38 , clause( 28956, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.00/1.38 X, c36 ) ), ~( p25( c32, X ) ) ] )
% 1.00/1.38 , clause( 28957, [ p10( X, Y ), p26( f20( c28, X ), Y ), ~( p24( f15( c30,
% 1.00/1.38 f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.00/1.38 , clause( 28958, [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p18(
% 1.00/1.38 W, X ) ), ~( p23( W, U, T ) ) ] )
% 1.00/1.38 , clause( 28959, [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ),
% 1.00/1.38 ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.00/1.38 , clause( 28960, [ p26( f20( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4(
% 1.00/1.38 T ), Y ) ), ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.00/1.38 ] ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 5, [ p2( X, X ) ] )
% 1.00/1.38 , clause( 28911, [ p2( X, X ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 11, [ p25( c36, c33 ) ] )
% 1.00/1.38 , clause( 28917, [ p25( c36, c33 ) ] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 12, [ p25( c32, c36 ) ] )
% 1.00/1.38 , clause( 28918, [ p25( c32, c36 ) ] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.00/1.38 , clause( 28924, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.00/1.38 , clause( 28935, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.00/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.00/1.38 f17( c31 ) ) ) ) ] )
% 1.00/1.38 , clause( 28945, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.00/1.38 f9( f17( c31 ) ) ) ) ] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.00/1.38 , X ) ), ~( p25( X, c33 ) ) ] )
% 1.00/1.38 , clause( 28955, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.00/1.38 X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.00/1.38 2 ), ==>( 2, 1 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 resolution(
% 1.00/1.38 clause( 28991, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.00/1.38 , clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.00/1.38 , 2, clause( 5, [ p2( X, X ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 1.00/1.38 substitution( 1, [ :=( X, X )] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 127, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.00/1.38 , clause( 28991, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.00/1.38 ), ==>( 1, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 resolution(
% 1.00/1.38 clause( 28993, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f16( f11( f4(
% 1.00/1.38 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.00/1.38 , clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.00/1.38 , 2, clause( 39, [ p2( f11( f4( c32 ), c34 ), f16( f11( f4( c36 ), c34 ),
% 1.00/1.38 f9( f17( c31 ) ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, f16( f11( f4( c36 ), c34 ), f9(
% 1.00/1.38 f17( c31 ) ) ) ), :=( Z, f11( f4( c32 ), c34 ) )] ), substitution( 1, [] )
% 1.00/1.38 ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 321, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ), ~(
% 1.00/1.38 p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.00/1.38 , clause( 28993, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f16( f11( f4(
% 1.00/1.38 c36 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.00/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.00/1.38 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 resolution(
% 1.00/1.38 clause( 28994, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.00/1.38 c32, c36 ) ) ] )
% 1.00/1.38 , clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25(
% 1.00/1.38 c32, X ) ), ~( p25( X, c33 ) ) ] )
% 1.00/1.38 , 2, clause( 11, [ p25( c36, c33 ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, c36 )] ), substitution( 1, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 resolution(
% 1.00/1.38 clause( 28995, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.00/1.38 , clause( 28994, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ), ~(
% 1.00/1.38 p25( c32, c36 ) ) ] )
% 1.00/1.38 , 1, clause( 12, [ p25( c32, c36 ) ] )
% 1.00/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 686, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.00/1.38 , clause( 28995, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 resolution(
% 1.00/1.38 clause( 28996, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.00/1.38 , clause( 127, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.00/1.38 , 1, clause( 686, [ p2( f11( f4( c36 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) ), :=( Y, f11( f4( c32
% 1.00/1.38 ), c34 ) )] ), substitution( 1, [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 691, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.00/1.38 , clause( 28996, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 resolution(
% 1.00/1.38 clause( 28997, [ p2( f11( f4( c36 ), c34 ), f16( f11( f4( c36 ), c34 ), f9(
% 1.00/1.38 f17( c31 ) ) ) ) ] )
% 1.00/1.38 , clause( 321, [ p2( X, f16( f11( f4( c36 ), c34 ), f9( f17( c31 ) ) ) ),
% 1.00/1.38 ~( p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.00/1.38 , 1, clause( 691, [ p2( f11( f4( c32 ), c34 ), f11( f4( c36 ), c34 ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 1.00/1.38 , [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 resolution(
% 1.00/1.38 clause( 28998, [] )
% 1.00/1.38 , clause( 18, [ ~( p2( X, f16( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.00/1.38 , 0, clause( 28997, [ p2( f11( f4( c36 ), c34 ), f16( f11( f4( c36 ), c34 )
% 1.00/1.38 , f9( f17( c31 ) ) ) ) ] )
% 1.00/1.38 , 0, substitution( 0, [ :=( X, f11( f4( c36 ), c34 ) )] ), substitution( 1
% 1.00/1.38 , [] )).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 subsumption(
% 1.00/1.38 clause( 28904, [] )
% 1.00/1.38 , clause( 28998, [] )
% 1.00/1.38 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 end.
% 1.00/1.38
% 1.00/1.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.00/1.38
% 1.00/1.38 Memory use:
% 1.00/1.38
% 1.00/1.38 space for terms: 529165
% 1.00/1.38 space for clauses: 2088059
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 clauses generated: 29839
% 1.00/1.38 clauses kept: 28905
% 1.00/1.38 clauses selected: 809
% 1.00/1.38 clauses deleted: 815
% 1.00/1.38 clauses inuse deleted: 24
% 1.00/1.38
% 1.00/1.38 subsentry: 99062
% 1.00/1.38 literals s-matched: 87125
% 1.00/1.38 literals matched: 87125
% 1.00/1.38 full subsumption: 795
% 1.00/1.38
% 1.00/1.38 checksum: -842625084
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Bliksem ended
%------------------------------------------------------------------------------