TSTP Solution File: SYN653-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN653-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 02:53:41 EDT 2022
% Result : Unsatisfiable 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN653-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 11 22:53:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13 [
% 0.72/1.13 [ p10( X, X ) ],
% 0.72/1.13 [ p9( X, X ) ],
% 0.72/1.13 [ p8( X, X ) ],
% 0.72/1.13 [ p7( X, X ) ],
% 0.72/1.13 [ p6( X, X ) ],
% 0.72/1.13 [ p5( X, X ) ],
% 0.72/1.13 [ p3( X, X ) ],
% 0.72/1.13 [ p2( X, X ) ],
% 0.72/1.13 [ p12( X, X ) ],
% 0.72/1.13 [ ~( p12( f13( c22 ), f13( c23 ) ) ) ],
% 0.72/1.13 [ p2( X, Y ), ~( p3( f4( X ), f4( Y ) ) ) ],
% 0.72/1.13 [ p21( f4( X ), Y ), ~( p3( Y, f4( Z ) ) ) ],
% 0.72/1.13 [ p12( f13( X ), f13( Y ) ), ~( p7( X, Y ) ) ],
% 0.72/1.13 [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.72/1.13 [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.72/1.13 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.72/1.13 [ p9( X, Y ), ~( p9( Z, X ) ), ~( p9( Z, Y ) ) ],
% 0.72/1.13 [ p8( X, Y ), ~( p8( Z, X ) ), ~( p8( Z, Y ) ) ],
% 0.72/1.13 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.72/1.13 [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.72/1.13 [ p5( X, Y ), ~( p5( Z, X ) ), ~( p5( Z, Y ) ) ],
% 0.72/1.13 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.72/1.13 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.72/1.13 [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.72/1.13 [ ~( p3( f11( X, Y, Z, T, U, W ), f4( V0 ) ) ) ],
% 0.72/1.13 [ p21( X, Y ), ~( p3( Z, X ) ), ~( p3( T, Y ) ), ~( p21( Z, T ) ) ],
% 0.72/1.13 [ p21( f11( c24, c25, c22, c26, c27, c28 ), f11( c29, c30, c23, c31, c32
% 0.72/1.13 , c33 ) ) ],
% 0.72/1.13 [ p3( X, f4( f20( Y, Z, T, U, X, W, V0, V1 ) ) ), ~( p21( f4( Y ), X ) )
% 0.72/1.13 ],
% 0.72/1.13 [ p10( X, Y ), ~( p3( f11( Z, T, U, W, V0, X ), f11( V1, V2, V3, V4, V5
% 0.72/1.13 , Y ) ) ) ],
% 0.72/1.13 [ p9( X, Y ), ~( p3( f11( Z, T, U, W, X, V0 ), f11( V1, V2, V3, V4, Y,
% 0.72/1.13 V5 ) ) ) ],
% 0.72/1.13 [ p8( X, Y ), ~( p3( f11( Z, T, U, X, W, V0 ), f11( V1, V2, V3, Y, V4,
% 0.72/1.13 V5 ) ) ) ],
% 0.72/1.13 [ p7( X, Y ), ~( p3( f11( Z, T, X, U, W, V0 ), f11( V1, V2, Y, V3, V4,
% 0.72/1.13 V5 ) ) ) ],
% 0.72/1.13 [ p6( X, Y ), ~( p3( f11( Z, X, T, U, W, V0 ), f11( V1, Y, V2, V3, V4,
% 0.72/1.13 V5 ) ) ) ],
% 0.72/1.13 [ p5( X, Y ), ~( p3( f11( X, Z, T, U, W, V0 ), f11( Y, V1, V2, V3, V4,
% 0.72/1.13 V5 ) ) ) ],
% 0.72/1.13 [ p9( X, f15( Y, Z, T, U, W, V0, V1, X ) ), ~( p21( f11( Z, T, V0, V1, X
% 0.72/1.13 , U ), W ) ) ],
% 0.72/1.13 [ p8( X, f16( Y, Z, T, U, W, V0, X, V1 ) ), ~( p21( f11( Z, T, V0, X, V1
% 0.72/1.13 , U ), W ) ) ],
% 0.72/1.13 [ p12( f13( X ), f13( f17( Y, Z, T, U, W, X, V0, V1 ) ) ), ~( p21( f11(
% 0.72/1.13 Z, T, X, V0, V1, U ), W ) ) ],
% 0.72/1.13 [ p21( f11( X, Y, Z, T, U, W ), V0 ), ~( p9( U, V1 ) ), ~( p8( T, V2 ) )
% 0.72/1.13 , ~( p12( f13( Z ), f13( V3 ) ) ), ~( p3( V0, f11( V4, V5, V3, V2, V1, V6
% 0.72/1.13 ) ) ) ],
% 0.72/1.13 [ p3( f11( X, Y, Z, T, U, W ), f11( V0, V1, V2, V3, V4, V5 ) ), ~( p8( T
% 0.72/1.13 , V3 ) ), ~( p9( U, V4 ) ), ~( p10( W, V5 ) ), ~( p5( X, V0 ) ), ~( p6( Y
% 0.72/1.13 , V1 ) ), ~( p7( Z, V2 ) ) ],
% 0.72/1.13 [ p3( f11( X, Y, Z, T, U, W ), f11( V0, V1, V2, V3, V4, V5 ) ), ~( p8( T
% 0.72/1.13 , V3 ) ), ~( p9( U, V4 ) ), ~( p10( W, V5 ) ), ~( p5( X, V0 ) ), ~( p6( Y
% 0.72/1.13 , V1 ) ), ~( p7( Z, V2 ) ) ],
% 0.72/1.13 [ p9( f15( X, Y, Z, T, U, W, V0, V1 ), f15( V2, V3, V4, V5, V6, V7, V8,
% 0.72/1.13 V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5 ) ), ~( p2( X
% 0.72/1.13 , V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4 ) ), ~( p7( W
% 0.72/1.13 , V7 ) ) ],
% 0.72/1.13 [ p10( f14( X, Y, Z, T, U, W, V0, V1 ), f14( V2, V3, V4, V5, V6, V7, V8
% 0.72/1.13 , V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5 ) ), ~( p2(
% 0.72/1.13 X, V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4 ) ), ~( p7( W
% 0.72/1.13 , V7 ) ) ],
% 0.72/1.13 [ p2( f20( X, Y, Z, T, U, W, V0, V1 ), f20( V2, V3, V4, V5, V6, V7, V8,
% 0.72/1.13 V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5 ) ), ~( p2( X
% 0.72/1.13 , V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4 ) ), ~( p7( W
% 0.72/1.13 , V7 ) ) ],
% 0.72/1.13 [ p5( f19( X, Y, Z, T, U, W, V0, V1 ), f19( V2, V3, V4, V5, V6, V7, V8,
% 0.72/1.13 V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5 ) ), ~( p2( X
% 0.72/1.13 , V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4 ) ), ~( p7( W
% 0.72/1.13 , V7 ) ) ],
% 0.72/1.13 [ p6( f18( X, Y, Z, T, U, W, V0, V1 ), f18( V2, V3, V4, V5, V6, V7, V8,
% 0.72/1.13 V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5 ) ), ~( p2( X
% 0.72/1.13 , V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4 ) ), ~( p7( W
% 0.72/1.13 , V7 ) ) ],
% 0.72/1.13 [ p7( f17( X, Y, Z, T, U, W, V0, V1 ), f17( V2, V3, V4, V5, V6, V7, V8,
% 0.72/1.13 V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5 ) ), ~( p2( X
% 0.72/1.13 , V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4 ) ), ~( p7( W
% 0.72/1.13 , V7 ) ) ],
% 0.72/1.13 [ p8( f16( X, Y, Z, T, U, W, V0, V1 ), f16( V2, V3, V4, V5, V6, V7, V8,
% 0.72/1.13 V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5 ) ), ~( p2( X
% 0.72/1.13 , V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4 ) ), ~( p7( W
% 0.72/1.13 , V7 ) ) ],
% 0.72/1.13 [ p3( X, f11( f19( Y, Z, T, U, X, W, V0, V1 ), f18( Y, Z, T, U, X, W, V0
% 0.72/1.13 , V1 ), f17( Y, Z, T, U, X, W, V0, V1 ), f16( Y, Z, T, U, X, W, V0, V1 )
% 0.72/1.13 , f15( Y, Z, T, U, X, W, V0, V1 ), f14( Y, Z, T, U, X, W, V0, V1 ) ) ),
% 0.72/1.13 ~( p21( f11( Z, T, W, V0, V1, U ), X ) ) ]
% 0.72/1.13 ] .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 percentage equality = 0.000000, percentage horn = 1.000000
% 0.72/1.13 This is a near-Horn, non-equality problem
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 0
% 0.72/1.13 useeqrefl = 0
% 0.72/1.13 useeqfact = 0
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 0
% 0.72/1.13 usesimpres = 4
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = standard
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = liftord
% 0.72/1.13
% 0.72/1.13 termordering = none
% 0.72/1.13
% 0.72/1.13 litapriori = 1
% 0.72/1.13 termapriori = 0
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negative
% 0.72/1.13
% 0.72/1.13 maxweight = 30000
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 0
% 0.72/1.13 increasemaxweight = 0
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 1
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:231, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:1, o:224, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 p10 [40, 2] (w:1, o:256, a:1, s:1, b:0),
% 0.72/1.13 p9 [42, 2] (w:1, o:261, a:1, s:1, b:0),
% 0.72/1.13 p8 [44, 2] (w:1, o:260, a:1, s:1, b:0),
% 0.72/1.13 p7 [46, 2] (w:1, o:259, a:1, s:1, b:0),
% 0.72/1.13 p6 [48, 2] (w:1, o:258, a:1, s:1, b:0),
% 0.72/1.13 p5 [50, 2] (w:1, o:257, a:1, s:1, b:0),
% 0.72/1.13 p3 [52, 2] (w:1, o:265, a:1, s:1, b:0),
% 0.72/1.13 p2 [54, 2] (w:1, o:263, a:1, s:1, b:0),
% 0.72/1.13 p12 [56, 2] (w:1, o:262, a:1, s:1, b:0),
% 0.72/1.13 c22 [57, 0] (w:1, o:175, a:1, s:1, b:0),
% 0.72/1.13 f13 [58, 1] (w:1, o:229, a:1, s:1, b:0),
% 0.72/1.13 c23 [59, 0] (w:1, o:176, a:1, s:1, b:0),
% 0.72/1.13 f4 [62, 1] (w:1, o:230, a:1, s:1, b:0),
% 0.72/1.13 p21 [65, 2] (w:1, o:264, a:1, s:1, b:0),
% 0.72/1.13 f11 [95, 6] (w:1, o:266, a:1, s:1, b:0),
% 0.72/1.13 c24 [101, 0] (w:1, o:204, a:1, s:1, b:0),
% 0.72/1.13 c25 [102, 0] (w:1, o:205, a:1, s:1, b:0),
% 0.72/1.13 c26 [103, 0] (w:1, o:206, a:1, s:1, b:0),
% 0.72/1.13 c27 [104, 0] (w:1, o:207, a:1, s:1, b:0),
% 0.72/1.13 c28 [105, 0] (w:1, o:208, a:1, s:1, b:0),
% 0.72/1.13 c29 [106, 0] (w:1, o:209, a:1, s:1, b:0),
% 0.72/1.13 c30 [107, 0] (w:1, o:210, a:1, s:1, b:0),
% 0.72/1.13 c31 [108, 0] (w:1, o:211, a:1, s:1, b:0),
% 0.72/1.13 c32 [109, 0] (w:1, o:212, a:1, s:1, b:0),
% 0.72/1.13 c33 [110, 0] (w:1, o:213, a:1, s:1, b:0),
% 0.72/1.13 f20 [117, 8] (w:1, o:273, a:1, s:1, b:0),
% 0.72/1.13 f15 [138, 8] (w:1, o:268, a:1, s:1, b:0),
% 0.72/1.13 f16 [139, 8] (w:1, o:269, a:1, s:1, b:0),
% 0.72/1.13 f17 [140, 8] (w:1, o:270, a:1, s:1, b:0),
% 0.72/1.13 f14 [183, 8] (w:1, o:267, a:1, s:1, b:0),
% 0.72/1.13 f19 [216, 8] (w:1, o:272, a:1, s:1, b:0),
% 0.72/1.13 f18 [233, 8] (w:1, o:271, a:1, s:1, b:0).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Intermediate Status:
% 0.72/1.13 Generated: 2638
% 0.72/1.13 Kept: 2005
% 0.72/1.13 Inuse: 326
% 0.72/1.13 Deleted: 0
% 0.72/1.13 Deletedinuse: 0
% 0.72/1.13
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 clause( 3, [ p7( X, X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 8, [ p12( X, X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 9, [ ~( p12( f13( c22 ), f13( c23 ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 12, [ p12( f13( X ), f13( Y ) ), ~( p7( X, Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 17, [ ~( p7( Z, X ) ), p7( X, Y ), ~( p7( Z, Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 22, [ ~( p12( Z, X ) ), p12( X, Y ), ~( p12( Z, Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 25, [ p21( f11( c24, c25, c22, c26, c27, c28 ), f11( c29, c30, c23
% 0.72/1.13 , c31, c32, c33 ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 30, [ p7( X, Y ), ~( p3( f11( Z, T, X, U, W, V0 ), f11( V1, V2, Y,
% 0.72/1.13 V3, V4, V5 ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 35, [ p12( f13( X ), f13( f17( Y, Z, T, U, W, X, V0, V1 ) ) ), ~(
% 0.72/1.13 p21( f11( Z, T, X, V0, V1, U ), W ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 45, [ p3( X, f11( f19( Y, Z, T, U, X, W, V0, V1 ), f18( Y, Z, T, U
% 0.72/1.13 , X, W, V0, V1 ), f17( Y, Z, T, U, X, W, V0, V1 ), f16( Y, Z, T, U, X, W
% 0.72/1.13 , V0, V1 ), f15( Y, Z, T, U, X, W, V0, V1 ), f14( Y, Z, T, U, X, W, V0,
% 0.72/1.13 V1 ) ) ), ~( p21( f11( Z, T, W, V0, V1, U ), X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 49, [ p12( Y, X ), ~( p12( X, Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 56, [ p7( Y, X ), ~( p7( X, Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 83, [ p12( f13( c22 ), f13( f17( X, c24, c25, c28, f11( c29, c30,
% 0.72/1.13 c23, c31, c32, c33 ), c22, c26, c27 ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 85, [ p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23, c31, c32
% 0.72/1.13 , c33 ), c22, c26, c27 ) ), f13( c22 ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 87, [ p12( Y, f13( c22 ) ), ~( p12( f13( f17( X, c24, c25, c28, f11(
% 0.72/1.13 c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ) ), Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 171, [ p3( f11( c29, c30, c23, c31, c32, c33 ), f11( f19( X, c24,
% 0.72/1.13 c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ), f18( X,
% 0.72/1.13 c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ), f17(
% 0.72/1.13 X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ),
% 0.72/1.13 f16( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27
% 0.72/1.13 ), f15( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26
% 0.72/1.13 , c27 ), f14( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22
% 0.72/1.13 , c26, c27 ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 1816, [ p7( c23, f17( X, c24, c25, c28, f11( c29, c30, c23, c31,
% 0.72/1.13 c32, c33 ), c22, c26, c27 ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 1864, [ p7( f17( X, c24, c25, c28, f11( c29, c30, c23, c31, c32,
% 0.72/1.13 c33 ), c22, c26, c27 ), c23 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 1869, [ p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23, c31,
% 0.72/1.13 c32, c33 ), c22, c26, c27 ) ), f13( c23 ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 2324, [ p12( f13( c23 ), f13( c22 ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 2338, [] )
% 0.72/1.13 .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 initialclauses(
% 0.72/1.13 [ clause( 2340, [ p10( X, X ) ] )
% 0.72/1.13 , clause( 2341, [ p9( X, X ) ] )
% 0.72/1.13 , clause( 2342, [ p8( X, X ) ] )
% 0.72/1.13 , clause( 2343, [ p7( X, X ) ] )
% 0.72/1.13 , clause( 2344, [ p6( X, X ) ] )
% 0.72/1.13 , clause( 2345, [ p5( X, X ) ] )
% 0.72/1.13 , clause( 2346, [ p3( X, X ) ] )
% 0.72/1.13 , clause( 2347, [ p2( X, X ) ] )
% 0.72/1.13 , clause( 2348, [ p12( X, X ) ] )
% 0.72/1.13 , clause( 2349, [ ~( p12( f13( c22 ), f13( c23 ) ) ) ] )
% 0.72/1.13 , clause( 2350, [ p2( X, Y ), ~( p3( f4( X ), f4( Y ) ) ) ] )
% 0.72/1.13 , clause( 2351, [ p21( f4( X ), Y ), ~( p3( Y, f4( Z ) ) ) ] )
% 0.72/1.13 , clause( 2352, [ p12( f13( X ), f13( Y ) ), ~( p7( X, Y ) ) ] )
% 0.72/1.13 , clause( 2353, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.72/1.13 , clause( 2354, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.72/1.13 , clause( 2355, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2356, [ p9( X, Y ), ~( p9( Z, X ) ), ~( p9( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2357, [ p8( X, Y ), ~( p8( Z, X ) ), ~( p8( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2358, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2359, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2360, [ p5( X, Y ), ~( p5( Z, X ) ), ~( p5( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2361, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2362, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2363, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2364, [ ~( p3( f11( X, Y, Z, T, U, W ), f4( V0 ) ) ) ] )
% 0.72/1.13 , clause( 2365, [ p21( X, Y ), ~( p3( Z, X ) ), ~( p3( T, Y ) ), ~( p21( Z
% 0.72/1.13 , T ) ) ] )
% 0.72/1.13 , clause( 2366, [ p21( f11( c24, c25, c22, c26, c27, c28 ), f11( c29, c30,
% 0.72/1.13 c23, c31, c32, c33 ) ) ] )
% 0.72/1.13 , clause( 2367, [ p3( X, f4( f20( Y, Z, T, U, X, W, V0, V1 ) ) ), ~( p21(
% 0.72/1.13 f4( Y ), X ) ) ] )
% 0.72/1.13 , clause( 2368, [ p10( X, Y ), ~( p3( f11( Z, T, U, W, V0, X ), f11( V1, V2
% 0.72/1.13 , V3, V4, V5, Y ) ) ) ] )
% 0.72/1.13 , clause( 2369, [ p9( X, Y ), ~( p3( f11( Z, T, U, W, X, V0 ), f11( V1, V2
% 0.72/1.13 , V3, V4, Y, V5 ) ) ) ] )
% 0.72/1.13 , clause( 2370, [ p8( X, Y ), ~( p3( f11( Z, T, U, X, W, V0 ), f11( V1, V2
% 0.72/1.13 , V3, Y, V4, V5 ) ) ) ] )
% 0.72/1.13 , clause( 2371, [ p7( X, Y ), ~( p3( f11( Z, T, X, U, W, V0 ), f11( V1, V2
% 0.72/1.13 , Y, V3, V4, V5 ) ) ) ] )
% 0.72/1.13 , clause( 2372, [ p6( X, Y ), ~( p3( f11( Z, X, T, U, W, V0 ), f11( V1, Y,
% 0.72/1.13 V2, V3, V4, V5 ) ) ) ] )
% 0.72/1.13 , clause( 2373, [ p5( X, Y ), ~( p3( f11( X, Z, T, U, W, V0 ), f11( Y, V1,
% 0.72/1.13 V2, V3, V4, V5 ) ) ) ] )
% 0.72/1.13 , clause( 2374, [ p9( X, f15( Y, Z, T, U, W, V0, V1, X ) ), ~( p21( f11( Z
% 0.72/1.13 , T, V0, V1, X, U ), W ) ) ] )
% 0.72/1.13 , clause( 2375, [ p8( X, f16( Y, Z, T, U, W, V0, X, V1 ) ), ~( p21( f11( Z
% 0.72/1.13 , T, V0, X, V1, U ), W ) ) ] )
% 0.72/1.13 , clause( 2376, [ p12( f13( X ), f13( f17( Y, Z, T, U, W, X, V0, V1 ) ) ),
% 0.72/1.13 ~( p21( f11( Z, T, X, V0, V1, U ), W ) ) ] )
% 0.72/1.13 , clause( 2377, [ p21( f11( X, Y, Z, T, U, W ), V0 ), ~( p9( U, V1 ) ), ~(
% 0.72/1.13 p8( T, V2 ) ), ~( p12( f13( Z ), f13( V3 ) ) ), ~( p3( V0, f11( V4, V5,
% 0.72/1.13 V3, V2, V1, V6 ) ) ) ] )
% 0.72/1.13 , clause( 2378, [ p3( f11( X, Y, Z, T, U, W ), f11( V0, V1, V2, V3, V4, V5
% 0.72/1.13 ) ), ~( p8( T, V3 ) ), ~( p9( U, V4 ) ), ~( p10( W, V5 ) ), ~( p5( X, V0
% 0.72/1.13 ) ), ~( p6( Y, V1 ) ), ~( p7( Z, V2 ) ) ] )
% 0.72/1.13 , clause( 2379, [ p3( f11( X, Y, Z, T, U, W ), f11( V0, V1, V2, V3, V4, V5
% 0.72/1.13 ) ), ~( p8( T, V3 ) ), ~( p9( U, V4 ) ), ~( p10( W, V5 ) ), ~( p5( X, V0
% 0.72/1.13 ) ), ~( p6( Y, V1 ) ), ~( p7( Z, V2 ) ) ] )
% 0.72/1.13 , clause( 2380, [ p9( f15( X, Y, Z, T, U, W, V0, V1 ), f15( V2, V3, V4, V5
% 0.72/1.13 , V6, V7, V8, V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5
% 0.72/1.13 ) ), ~( p2( X, V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4
% 0.72/1.13 ) ), ~( p7( W, V7 ) ) ] )
% 0.72/1.13 , clause( 2381, [ p10( f14( X, Y, Z, T, U, W, V0, V1 ), f14( V2, V3, V4, V5
% 0.72/1.13 , V6, V7, V8, V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5
% 0.72/1.13 ) ), ~( p2( X, V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4
% 0.72/1.13 ) ), ~( p7( W, V7 ) ) ] )
% 0.72/1.13 , clause( 2382, [ p2( f20( X, Y, Z, T, U, W, V0, V1 ), f20( V2, V3, V4, V5
% 0.72/1.13 , V6, V7, V8, V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5
% 0.72/1.13 ) ), ~( p2( X, V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4
% 0.72/1.13 ) ), ~( p7( W, V7 ) ) ] )
% 0.72/1.13 , clause( 2383, [ p5( f19( X, Y, Z, T, U, W, V0, V1 ), f19( V2, V3, V4, V5
% 0.72/1.13 , V6, V7, V8, V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5
% 0.72/1.13 ) ), ~( p2( X, V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4
% 0.72/1.13 ) ), ~( p7( W, V7 ) ) ] )
% 0.72/1.13 , clause( 2384, [ p6( f18( X, Y, Z, T, U, W, V0, V1 ), f18( V2, V3, V4, V5
% 0.72/1.13 , V6, V7, V8, V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5
% 0.72/1.13 ) ), ~( p2( X, V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4
% 0.72/1.13 ) ), ~( p7( W, V7 ) ) ] )
% 0.72/1.13 , clause( 2385, [ p7( f17( X, Y, Z, T, U, W, V0, V1 ), f17( V2, V3, V4, V5
% 0.72/1.13 , V6, V7, V8, V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5
% 0.72/1.13 ) ), ~( p2( X, V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4
% 0.72/1.13 ) ), ~( p7( W, V7 ) ) ] )
% 0.72/1.13 , clause( 2386, [ p8( f16( X, Y, Z, T, U, W, V0, V1 ), f16( V2, V3, V4, V5
% 0.72/1.13 , V6, V7, V8, V9 ) ), ~( p8( V0, V8 ) ), ~( p9( V1, V9 ) ), ~( p10( T, V5
% 0.72/1.13 ) ), ~( p2( X, V2 ) ), ~( p3( U, V6 ) ), ~( p5( Y, V3 ) ), ~( p6( Z, V4
% 0.72/1.13 ) ), ~( p7( W, V7 ) ) ] )
% 0.72/1.13 , clause( 2387, [ p3( X, f11( f19( Y, Z, T, U, X, W, V0, V1 ), f18( Y, Z, T
% 0.72/1.13 , U, X, W, V0, V1 ), f17( Y, Z, T, U, X, W, V0, V1 ), f16( Y, Z, T, U, X
% 0.72/1.13 , W, V0, V1 ), f15( Y, Z, T, U, X, W, V0, V1 ), f14( Y, Z, T, U, X, W, V0
% 0.72/1.13 , V1 ) ) ), ~( p21( f11( Z, T, W, V0, V1, U ), X ) ) ] )
% 0.72/1.13 ] ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 3, [ p7( X, X ) ] )
% 0.72/1.13 , clause( 2343, [ p7( X, X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 8, [ p12( X, X ) ] )
% 0.72/1.13 , clause( 2348, [ p12( X, X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 9, [ ~( p12( f13( c22 ), f13( c23 ) ) ) ] )
% 0.72/1.13 , clause( 2349, [ ~( p12( f13( c22 ), f13( c23 ) ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 12, [ p12( f13( X ), f13( Y ) ), ~( p7( X, Y ) ) ] )
% 0.72/1.13 , clause( 2352, [ p12( f13( X ), f13( Y ) ), ~( p7( X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 ), ==>( 1, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 17, [ ~( p7( Z, X ) ), p7( X, Y ), ~( p7( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2358, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 22, [ ~( p12( Z, X ) ), p12( X, Y ), ~( p12( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2363, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 25, [ p21( f11( c24, c25, c22, c26, c27, c28 ), f11( c29, c30, c23
% 0.72/1.13 , c31, c32, c33 ) ) ] )
% 0.72/1.13 , clause( 2366, [ p21( f11( c24, c25, c22, c26, c27, c28 ), f11( c29, c30,
% 0.72/1.13 c23, c31, c32, c33 ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 30, [ p7( X, Y ), ~( p3( f11( Z, T, X, U, W, V0 ), f11( V1, V2, Y,
% 0.72/1.13 V3, V4, V5 ) ) ) ] )
% 0.72/1.13 , clause( 2371, [ p7( X, Y ), ~( p3( f11( Z, T, X, U, W, V0 ), f11( V1, V2
% 0.72/1.13 , Y, V3, V4, V5 ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.13 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 ), :=( V2, V2 ), :=( V3, V3 )
% 0.72/1.13 , :=( V4, V4 ), :=( V5, V5 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 35, [ p12( f13( X ), f13( f17( Y, Z, T, U, W, X, V0, V1 ) ) ), ~(
% 0.72/1.13 p21( f11( Z, T, X, V0, V1, U ), W ) ) ] )
% 0.72/1.13 , clause( 2376, [ p12( f13( X ), f13( f17( Y, Z, T, U, W, X, V0, V1 ) ) ),
% 0.72/1.13 ~( p21( f11( Z, T, X, V0, V1, U ), W ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.13 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.72/1.13 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 45, [ p3( X, f11( f19( Y, Z, T, U, X, W, V0, V1 ), f18( Y, Z, T, U
% 0.72/1.13 , X, W, V0, V1 ), f17( Y, Z, T, U, X, W, V0, V1 ), f16( Y, Z, T, U, X, W
% 0.72/1.13 , V0, V1 ), f15( Y, Z, T, U, X, W, V0, V1 ), f14( Y, Z, T, U, X, W, V0,
% 0.72/1.13 V1 ) ) ), ~( p21( f11( Z, T, W, V0, V1, U ), X ) ) ] )
% 0.72/1.13 , clause( 2387, [ p3( X, f11( f19( Y, Z, T, U, X, W, V0, V1 ), f18( Y, Z, T
% 0.72/1.13 , U, X, W, V0, V1 ), f17( Y, Z, T, U, X, W, V0, V1 ), f16( Y, Z, T, U, X
% 0.72/1.13 , W, V0, V1 ), f15( Y, Z, T, U, X, W, V0, V1 ), f14( Y, Z, T, U, X, W, V0
% 0.72/1.13 , V1 ) ) ), ~( p21( f11( Z, T, W, V0, V1, U ), X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.13 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.72/1.13 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2442, [ ~( p12( X, Y ) ), p12( Y, X ) ] )
% 0.72/1.13 , clause( 22, [ ~( p12( Z, X ) ), p12( X, Y ), ~( p12( Z, Y ) ) ] )
% 0.72/1.13 , 2, clause( 8, [ p12( X, X ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 49, [ p12( Y, X ), ~( p12( X, Y ) ) ] )
% 0.72/1.13 , clause( 2442, [ ~( p12( X, Y ) ), p12( Y, X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.13 ), ==>( 1, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2444, [ ~( p7( X, Y ) ), p7( Y, X ) ] )
% 0.72/1.13 , clause( 17, [ ~( p7( Z, X ) ), p7( X, Y ), ~( p7( Z, Y ) ) ] )
% 0.72/1.13 , 2, clause( 3, [ p7( X, X ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 56, [ p7( Y, X ), ~( p7( X, Y ) ) ] )
% 0.72/1.13 , clause( 2444, [ ~( p7( X, Y ) ), p7( Y, X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.13 ), ==>( 1, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2445, [ p12( f13( c22 ), f13( f17( X, c24, c25, c28, f11( c29, c30
% 0.72/1.13 , c23, c31, c32, c33 ), c22, c26, c27 ) ) ) ] )
% 0.72/1.13 , clause( 35, [ p12( f13( X ), f13( f17( Y, Z, T, U, W, X, V0, V1 ) ) ),
% 0.72/1.13 ~( p21( f11( Z, T, X, V0, V1, U ), W ) ) ] )
% 0.72/1.13 , 1, clause( 25, [ p21( f11( c24, c25, c22, c26, c27, c28 ), f11( c29, c30
% 0.72/1.13 , c23, c31, c32, c33 ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, c22 ), :=( Y, X ), :=( Z, c24 ), :=( T, c25
% 0.72/1.13 ), :=( U, c28 ), :=( W, f11( c29, c30, c23, c31, c32, c33 ) ), :=( V0,
% 0.72/1.13 c26 ), :=( V1, c27 )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 83, [ p12( f13( c22 ), f13( f17( X, c24, c25, c28, f11( c29, c30,
% 0.72/1.13 c23, c31, c32, c33 ), c22, c26, c27 ) ) ) ] )
% 0.72/1.13 , clause( 2445, [ p12( f13( c22 ), f13( f17( X, c24, c25, c28, f11( c29,
% 0.72/1.13 c30, c23, c31, c32, c33 ), c22, c26, c27 ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2446, [ p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23, c31,
% 0.72/1.13 c32, c33 ), c22, c26, c27 ) ), f13( c22 ) ) ] )
% 0.72/1.13 , clause( 49, [ p12( Y, X ), ~( p12( X, Y ) ) ] )
% 0.72/1.13 , 1, clause( 83, [ p12( f13( c22 ), f13( f17( X, c24, c25, c28, f11( c29,
% 0.72/1.13 c30, c23, c31, c32, c33 ), c22, c26, c27 ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, f13( c22 ) ), :=( Y, f13( f17( X, c24, c25,
% 0.72/1.13 c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ) ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 85, [ p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23, c31, c32
% 0.72/1.13 , c33 ), c22, c26, c27 ) ), f13( c22 ) ) ] )
% 0.72/1.13 , clause( 2446, [ p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23, c31
% 0.72/1.13 , c32, c33 ), c22, c26, c27 ) ), f13( c22 ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2448, [ ~( p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23, c31
% 0.72/1.13 , c32, c33 ), c22, c26, c27 ) ), Y ) ), p12( Y, f13( c22 ) ) ] )
% 0.72/1.13 , clause( 22, [ ~( p12( Z, X ) ), p12( X, Y ), ~( p12( Z, Y ) ) ] )
% 0.72/1.13 , 2, clause( 85, [ p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23, c31
% 0.72/1.13 , c32, c33 ), c22, c26, c27 ) ), f13( c22 ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, f13( c22 ) ), :=( Z, f13( f17( X
% 0.72/1.13 , c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ) ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 87, [ p12( Y, f13( c22 ) ), ~( p12( f13( f17( X, c24, c25, c28, f11(
% 0.72/1.13 c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ) ), Y ) ) ] )
% 0.72/1.13 , clause( 2448, [ ~( p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23,
% 0.72/1.13 c31, c32, c33 ), c22, c26, c27 ) ), Y ) ), p12( Y, f13( c22 ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.13 ), ==>( 1, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2449, [ p3( f11( c29, c30, c23, c31, c32, c33 ), f11( f19( X, c24,
% 0.72/1.13 c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ), f18( X,
% 0.72/1.13 c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ), f17(
% 0.72/1.13 X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ),
% 0.72/1.13 f16( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27
% 0.72/1.13 ), f15( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26
% 0.72/1.13 , c27 ), f14( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22
% 0.72/1.13 , c26, c27 ) ) ) ] )
% 0.72/1.13 , clause( 45, [ p3( X, f11( f19( Y, Z, T, U, X, W, V0, V1 ), f18( Y, Z, T,
% 0.72/1.13 U, X, W, V0, V1 ), f17( Y, Z, T, U, X, W, V0, V1 ), f16( Y, Z, T, U, X, W
% 0.72/1.13 , V0, V1 ), f15( Y, Z, T, U, X, W, V0, V1 ), f14( Y, Z, T, U, X, W, V0,
% 0.72/1.13 V1 ) ) ), ~( p21( f11( Z, T, W, V0, V1, U ), X ) ) ] )
% 0.72/1.13 , 1, clause( 25, [ p21( f11( c24, c25, c22, c26, c27, c28 ), f11( c29, c30
% 0.72/1.13 , c23, c31, c32, c33 ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, f11( c29, c30, c23, c31, c32, c33 ) ), :=( Y
% 0.72/1.13 , X ), :=( Z, c24 ), :=( T, c25 ), :=( U, c28 ), :=( W, c22 ), :=( V0,
% 0.72/1.13 c26 ), :=( V1, c27 )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 171, [ p3( f11( c29, c30, c23, c31, c32, c33 ), f11( f19( X, c24,
% 0.72/1.13 c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ), f18( X,
% 0.72/1.13 c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ), f17(
% 0.72/1.13 X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ),
% 0.72/1.13 f16( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27
% 0.72/1.13 ), f15( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26
% 0.72/1.13 , c27 ), f14( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22
% 0.72/1.13 , c26, c27 ) ) ) ] )
% 0.72/1.13 , clause( 2449, [ p3( f11( c29, c30, c23, c31, c32, c33 ), f11( f19( X, c24
% 0.72/1.13 , c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ), f18( X
% 0.72/1.13 , c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ),
% 0.72/1.13 f17( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27
% 0.72/1.13 ), f16( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26
% 0.72/1.13 , c27 ), f15( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22
% 0.72/1.13 , c26, c27 ), f14( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 )
% 0.72/1.13 , c22, c26, c27 ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2450, [ p7( c23, f17( X, c24, c25, c28, f11( c29, c30, c23, c31,
% 0.72/1.13 c32, c33 ), c22, c26, c27 ) ) ] )
% 0.72/1.13 , clause( 30, [ p7( X, Y ), ~( p3( f11( Z, T, X, U, W, V0 ), f11( V1, V2, Y
% 0.72/1.13 , V3, V4, V5 ) ) ) ] )
% 0.72/1.13 , 1, clause( 171, [ p3( f11( c29, c30, c23, c31, c32, c33 ), f11( f19( X,
% 0.72/1.13 c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ), f18(
% 0.72/1.13 X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ),
% 0.72/1.13 f17( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27
% 0.72/1.13 ), f16( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26
% 0.72/1.13 , c27 ), f15( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22
% 0.72/1.13 , c26, c27 ), f14( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 )
% 0.72/1.13 , c22, c26, c27 ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, c23 ), :=( Y, f17( X, c24, c25, c28, f11(
% 0.72/1.13 c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ) ), :=( Z, c29 ), :=( T,
% 0.72/1.13 c30 ), :=( U, c31 ), :=( W, c32 ), :=( V0, c33 ), :=( V1, f19( X, c24,
% 0.72/1.13 c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ) ), :=( V2
% 0.72/1.13 , f18( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33 ), c22, c26,
% 0.72/1.13 c27 ) ), :=( V3, f16( X, c24, c25, c28, f11( c29, c30, c23, c31, c32, c33
% 0.72/1.13 ), c22, c26, c27 ) ), :=( V4, f15( X, c24, c25, c28, f11( c29, c30, c23
% 0.72/1.13 , c31, c32, c33 ), c22, c26, c27 ) ), :=( V5, f14( X, c24, c25, c28, f11(
% 0.72/1.13 c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ) )] ), substitution( 1, [
% 0.72/1.13 :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 1816, [ p7( c23, f17( X, c24, c25, c28, f11( c29, c30, c23, c31,
% 0.72/1.13 c32, c33 ), c22, c26, c27 ) ) ] )
% 0.72/1.13 , clause( 2450, [ p7( c23, f17( X, c24, c25, c28, f11( c29, c30, c23, c31,
% 0.72/1.13 c32, c33 ), c22, c26, c27 ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2451, [ p7( f17( X, c24, c25, c28, f11( c29, c30, c23, c31, c32,
% 0.72/1.13 c33 ), c22, c26, c27 ), c23 ) ] )
% 0.72/1.13 , clause( 56, [ p7( Y, X ), ~( p7( X, Y ) ) ] )
% 0.72/1.13 , 1, clause( 1816, [ p7( c23, f17( X, c24, c25, c28, f11( c29, c30, c23,
% 0.72/1.13 c31, c32, c33 ), c22, c26, c27 ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, c23 ), :=( Y, f17( X, c24, c25, c28, f11(
% 0.72/1.13 c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ) )] ), substitution( 1, [
% 0.72/1.13 :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 1864, [ p7( f17( X, c24, c25, c28, f11( c29, c30, c23, c31, c32,
% 0.72/1.13 c33 ), c22, c26, c27 ), c23 ) ] )
% 0.72/1.13 , clause( 2451, [ p7( f17( X, c24, c25, c28, f11( c29, c30, c23, c31, c32,
% 0.72/1.13 c33 ), c22, c26, c27 ), c23 ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2452, [ p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23, c31,
% 0.72/1.13 c32, c33 ), c22, c26, c27 ) ), f13( c23 ) ) ] )
% 0.72/1.13 , clause( 12, [ p12( f13( X ), f13( Y ) ), ~( p7( X, Y ) ) ] )
% 0.72/1.13 , 1, clause( 1864, [ p7( f17( X, c24, c25, c28, f11( c29, c30, c23, c31,
% 0.72/1.13 c32, c33 ), c22, c26, c27 ), c23 ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, f17( X, c24, c25, c28, f11( c29, c30, c23,
% 0.72/1.13 c31, c32, c33 ), c22, c26, c27 ) ), :=( Y, c23 )] ), substitution( 1, [
% 0.72/1.13 :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 1869, [ p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23, c31,
% 0.72/1.13 c32, c33 ), c22, c26, c27 ) ), f13( c23 ) ) ] )
% 0.72/1.13 , clause( 2452, [ p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23, c31
% 0.72/1.13 , c32, c33 ), c22, c26, c27 ) ), f13( c23 ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2453, [ p12( f13( c23 ), f13( c22 ) ) ] )
% 0.72/1.13 , clause( 87, [ p12( Y, f13( c22 ) ), ~( p12( f13( f17( X, c24, c25, c28,
% 0.72/1.13 f11( c29, c30, c23, c31, c32, c33 ), c22, c26, c27 ) ), Y ) ) ] )
% 0.72/1.13 , 1, clause( 1869, [ p12( f13( f17( X, c24, c25, c28, f11( c29, c30, c23,
% 0.72/1.13 c31, c32, c33 ), c22, c26, c27 ) ), f13( c23 ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, f13( c23 ) )] ), substitution( 1
% 0.72/1.13 , [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 2324, [ p12( f13( c23 ), f13( c22 ) ) ] )
% 0.72/1.13 , clause( 2453, [ p12( f13( c23 ), f13( c22 ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2454, [ p12( f13( c22 ), f13( c23 ) ) ] )
% 0.72/1.13 , clause( 49, [ p12( Y, X ), ~( p12( X, Y ) ) ] )
% 0.72/1.13 , 1, clause( 2324, [ p12( f13( c23 ), f13( c22 ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, f13( c23 ) ), :=( Y, f13( c22 ) )] ),
% 0.72/1.13 substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2455, [] )
% 0.72/1.13 , clause( 9, [ ~( p12( f13( c22 ), f13( c23 ) ) ) ] )
% 0.72/1.13 , 0, clause( 2454, [ p12( f13( c22 ), f13( c23 ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 2338, [] )
% 0.72/1.13 , clause( 2455, [] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 end.
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 145567
% 0.72/1.13 space for clauses: 615057
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 3027
% 0.72/1.13 clauses kept: 2339
% 0.72/1.13 clauses selected: 348
% 0.72/1.13 clauses deleted: 0
% 0.72/1.13 clauses inuse deleted: 0
% 0.72/1.13
% 0.72/1.13 subsentry: 3489
% 0.72/1.13 literals s-matched: 2728
% 0.72/1.13 literals matched: 2682
% 0.72/1.13 full subsumption: 38
% 0.72/1.13
% 0.72/1.13 checksum: 444215182
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------