TSTP Solution File: SYN687-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN687-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 02:53:56 EDT 2022
% Result : Unsatisfiable 71.07s 71.51s
% Output : Refutation 71.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN687-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Mon Jul 11 16:09:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 2.07/2.49 *** allocated 10000 integers for termspace/termends
% 2.07/2.49 *** allocated 10000 integers for clauses
% 2.07/2.49 *** allocated 10000 integers for justifications
% 2.07/2.49 Bliksem 1.12
% 2.07/2.49
% 2.07/2.49
% 2.07/2.49 Automatic Strategy Selection
% 2.07/2.49
% 2.07/2.49 Clauses:
% 2.07/2.49 [
% 2.07/2.49 [ p10( X, X ) ],
% 2.07/2.49 [ p8( X, X ) ],
% 2.07/2.49 [ p6( X, X ) ],
% 2.07/2.49 [ p4( X, X ) ],
% 2.07/2.49 [ p33( X, X ) ],
% 2.07/2.49 [ p31( X, X ) ],
% 2.07/2.49 [ p3( X, X ) ],
% 2.07/2.49 [ p29( X, X ) ],
% 2.07/2.49 [ p27( X, X ) ],
% 2.07/2.49 [ p25( X, X ) ],
% 2.07/2.49 [ p23( X, X ) ],
% 2.07/2.49 [ p21( X, X ) ],
% 2.07/2.49 [ p2( X, X ) ],
% 2.07/2.49 [ p19( X, X ) ],
% 2.07/2.49 [ p17( X, X ) ],
% 2.07/2.49 [ p15( X, X ) ],
% 2.07/2.49 [ p13( X, X ) ],
% 2.07/2.49 [ p11( X, X ) ],
% 2.07/2.49 [ p34( c36, c37 ) ],
% 2.07/2.49 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 2.07/2.49 [ p8( X, Y ), ~( p8( Z, X ) ), ~( p8( Z, Y ) ) ],
% 2.07/2.49 [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 2.07/2.49 [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 2.07/2.49 [ p33( X, Y ), ~( p33( Z, X ) ), ~( p33( Z, Y ) ) ],
% 2.07/2.49 [ p31( X, Y ), ~( p31( Z, X ) ), ~( p31( Z, Y ) ) ],
% 2.07/2.49 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 2.07/2.49 [ p29( X, Y ), ~( p29( Z, X ) ), ~( p29( Z, Y ) ) ],
% 2.07/2.49 [ p27( X, Y ), ~( p27( Z, X ) ), ~( p27( Z, Y ) ) ],
% 2.07/2.49 [ p25( X, Y ), ~( p25( Z, X ) ), ~( p25( Z, Y ) ) ],
% 2.07/2.49 [ p23( X, Y ), ~( p23( Z, X ) ), ~( p23( Z, Y ) ) ],
% 2.07/2.49 [ p21( X, Y ), ~( p21( Z, X ) ), ~( p21( Z, Y ) ) ],
% 2.07/2.49 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 2.07/2.49 [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 2.07/2.49 [ p17( X, Y ), ~( p17( Z, X ) ), ~( p17( Z, Y ) ) ],
% 2.07/2.49 [ p15( X, Y ), ~( p15( Z, X ) ), ~( p15( Z, Y ) ) ],
% 2.07/2.49 [ p13( X, Y ), ~( p13( Z, X ) ), ~( p13( Z, Y ) ) ],
% 2.07/2.49 [ p11( X, Y ), ~( p11( Z, X ) ), ~( p11( Z, Y ) ) ],
% 2.07/2.49 [ p35( X, Y ), ~( p3( Z, Y ) ), ~( p35( T, Z ) ), ~( p11( T, X ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p34( X, Y ), ~( p33( Z, X ) ), ~( p34( Z, T ) ), ~( p10( T, Y ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ ~( p4( f5( X, f7( c38, X ) ), f5( f9( c39, X ), f7( c38, X ) ) ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p11( f12( X, Y ), f12( Z, T ) ), ~( p10( X, Z ) ), ~( p3( Y, T ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p6( f20( X, Y ), f20( Z, T ) ), ~( p19( X, Z ) ), ~( p2( Y, T ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p4( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T ) ) ],
% 2.07/2.49 [ p3( f7( X, Y ), f7( Z, T ) ), ~( p2( Y, T ) ), ~( p6( X, Z ) ) ],
% 2.07/2.49 [ p3( f30( X, Y ), f30( Z, T ) ), ~( p29( X, Z ) ), ~( p8( Y, T ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p3( f14( X, Y ), f14( Z, T ) ), ~( p13( X, Z ) ), ~( p3( Y, T ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p29( f32( X, Y ), f32( Z, T ) ), ~( p10( Y, T ) ), ~( p31( X, Z ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p25( f28( X, Y ), f28( Z, T ) ), ~( p10( Y, T ) ), ~( p27( X, Z ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p21( f24( X, Y ), f24( Z, T ) ), ~( p10( Y, T ) ), ~( p23( X, Z ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p2( f9( X, Y ), f9( Z, T ) ), ~( p2( Y, T ) ), ~( p8( X, Z ) ) ],
% 2.07/2.49 [ p2( f26( X, Y ), f26( Z, T ) ), ~( p25( X, Z ) ), ~( p8( Y, T ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p19( f22( X, Y ), f22( Z, T ) ), ~( p21( X, Z ) ), ~( p8( Y, T ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p15( f18( X, Y ), f18( Z, T ) ), ~( p17( X, Z ) ), ~( p2( Y, T ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p13( f16( X, Y ), f16( Z, T ) ), ~( p15( X, Z ) ), ~( p2( Y, T ) ) ]
% 2.07/2.49 ,
% 2.07/2.49 [ p4( f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ), p35( f12( c37, f14(
% 2.07/2.49 f16( f18( c40, X ), Z ), Y ) ), Y ) ],
% 2.07/2.49 [ p4( f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ), ~( p4( f5( X, f14(
% 2.07/2.49 f16( f18( c40, X ), Z ), Y ) ), f5( Z, f14( f16( f18( c40, X ), Z ), Y )
% 2.07/2.49 ) ) ) ],
% 2.07/2.49 [ p4( f5( f26( f28( c46, X ), Y ), Z ), f5( f26( f28( c47, X ), Y ), Z )
% 2.07/2.49 ), p4( f5( f26( f28( c46, X ), Y ), T ), f5( f9( Y, f26( f28( c46, X ),
% 2.07/2.49 Y ) ), T ) ), ~( p34( c36, X ) ), ~( p35( f12( X, Z ), f30( f32( c45, X )
% 2.07/2.49 , Y ) ) ) ],
% 2.07/2.49 [ p4( f5( f26( f28( c46, X ), Y ), Z ), f5( f9( Y, f26( f28( c46, X ), Y
% 2.07/2.49 ) ), Z ) ), ~( p34( c36, X ) ), ~( p4( f5( f9( Y, f26( f28( c46, X ), Y
% 2.07/2.49 ) ), f30( f32( c45, X ), Y ) ), f5( f9( Y, f26( f28( c47, X ), Y ) ),
% 2.07/2.49 f30( f32( c45, X ), Y ) ) ) ) ],
% 2.07/2.49 [ p2( X, Y ), p4( f5( f26( f28( c42, Z ), T ), U ), f5( f26( f28( c43, Z
% 2.07/2.49 ), T ), U ) ), ~( p34( c36, Z ) ), ~( p35( f12( Z, U ), f30( f32( c41, Z
% 2.07/2.49 ), T ) ) ), ~( p4( f5( X, f7( f20( f22( f24( c44, Z ), T ), X ), Y ) ),
% 2.07/2.49 f5( f9( T, X ), f7( f20( f22( f24( c44, Z ), T ), X ), Y ) ) ) ), ~( p4(
% 2.07/2.49 f5( Y, f7( f20( f22( f24( c44, Z ), T ), X ), Y ) ), f5( f9( T, Y ), f7(
% 2.07/2.49 f20( f22( f24( c44, Z ), T ), X ), Y ) ) ) ) ],
% 2.07/2.49 [ p2( X, Y ), ~( p34( c36, Z ) ), ~( p4( f5( X, f7( f20( f22( f24( c44,
% 71.07/71.51 Z ), T ), X ), Y ) ), f5( f9( T, X ), f7( f20( f22( f24( c44, Z ), T ), X
% 71.07/71.51 ), Y ) ) ) ), ~( p4( f5( Y, f7( f20( f22( f24( c44, Z ), T ), X ), Y ) )
% 71.07/71.51 , f5( f9( T, Y ), f7( f20( f22( f24( c44, Z ), T ), X ), Y ) ) ) ), ~( p4(
% 71.07/71.51 f5( f9( T, f26( f28( c42, Z ), T ) ), f30( f32( c41, Z ), T ) ), f5( f9(
% 71.07/71.51 T, f26( f28( c43, Z ), T ) ), f30( f32( c41, Z ), T ) ) ) ) ]
% 71.07/71.51 ] .
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 percentage equality = 0.000000, percentage horn = 0.950000
% 71.07/71.51 This is a near-Horn, non-equality problem
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 Options Used:
% 71.07/71.51
% 71.07/71.51 useres = 1
% 71.07/71.51 useparamod = 0
% 71.07/71.51 useeqrefl = 0
% 71.07/71.51 useeqfact = 0
% 71.07/71.51 usefactor = 1
% 71.07/71.51 usesimpsplitting = 0
% 71.07/71.51 usesimpdemod = 0
% 71.07/71.51 usesimpres = 4
% 71.07/71.51
% 71.07/71.51 resimpinuse = 1000
% 71.07/71.51 resimpclauses = 20000
% 71.07/71.51 substype = standard
% 71.07/71.51 backwardsubs = 1
% 71.07/71.51 selectoldest = 5
% 71.07/71.51
% 71.07/71.51 litorderings [0] = split
% 71.07/71.51 litorderings [1] = liftord
% 71.07/71.51
% 71.07/71.51 termordering = none
% 71.07/71.51
% 71.07/71.51 litapriori = 1
% 71.07/71.51 termapriori = 0
% 71.07/71.51 litaposteriori = 0
% 71.07/71.51 termaposteriori = 0
% 71.07/71.51 demodaposteriori = 0
% 71.07/71.51 ordereqreflfact = 0
% 71.07/71.51
% 71.07/71.51 litselect = negative
% 71.07/71.51
% 71.07/71.51 maxweight = 30000
% 71.07/71.51 maxdepth = 30000
% 71.07/71.51 maxlength = 115
% 71.07/71.51 maxnrvars = 195
% 71.07/71.51 excuselevel = 0
% 71.07/71.51 increasemaxweight = 0
% 71.07/71.51
% 71.07/71.51 maxselected = 10000000
% 71.07/71.51 maxnrclauses = 10000000
% 71.07/71.51
% 71.07/71.51 showgenerated = 0
% 71.07/71.51 showkept = 0
% 71.07/71.51 showselected = 0
% 71.07/71.51 showdeleted = 0
% 71.07/71.51 showresimp = 1
% 71.07/71.51 showstatus = 2000
% 71.07/71.51
% 71.07/71.51 prologoutput = 1
% 71.07/71.51 nrgoals = 5000000
% 71.07/71.51 totalproof = 1
% 71.07/71.51
% 71.07/71.51 Symbols occurring in the translation:
% 71.07/71.51
% 71.07/71.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 71.07/71.51 . [1, 2] (w:1, o:157, a:1, s:1, b:0),
% 71.07/71.51 ! [4, 1] (w:1, o:152, a:1, s:1, b:0),
% 71.07/71.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 71.07/71.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 71.07/71.51 p10 [40, 2] (w:1, o:182, a:1, s:1, b:0),
% 71.07/71.51 p8 [42, 2] (w:1, o:183, a:1, s:1, b:0),
% 71.07/71.51 p6 [44, 2] (w:1, o:184, a:1, s:1, b:0),
% 71.07/71.51 p4 [46, 2] (w:1, o:201, a:1, s:1, b:0),
% 71.07/71.51 p33 [48, 2] (w:1, o:196, a:1, s:1, b:0),
% 71.07/71.51 p31 [50, 2] (w:1, o:197, a:1, s:1, b:0),
% 71.07/71.51 p3 [52, 2] (w:1, o:198, a:1, s:1, b:0),
% 71.07/71.51 p29 [54, 2] (w:1, o:190, a:1, s:1, b:0),
% 71.07/71.51 p27 [56, 2] (w:1, o:191, a:1, s:1, b:0),
% 71.07/71.51 p25 [58, 2] (w:1, o:192, a:1, s:1, b:0),
% 71.07/71.51 p23 [60, 2] (w:1, o:193, a:1, s:1, b:0),
% 71.07/71.51 p21 [62, 2] (w:1, o:194, a:1, s:1, b:0),
% 71.07/71.51 p2 [64, 2] (w:1, o:195, a:1, s:1, b:0),
% 71.07/71.51 p19 [66, 2] (w:1, o:185, a:1, s:1, b:0),
% 71.07/71.51 p17 [68, 2] (w:1, o:186, a:1, s:1, b:0),
% 71.07/71.51 p15 [70, 2] (w:1, o:187, a:1, s:1, b:0),
% 71.07/71.51 p13 [72, 2] (w:1, o:188, a:1, s:1, b:0),
% 71.07/71.51 p11 [74, 2] (w:1, o:189, a:1, s:1, b:0),
% 71.07/71.51 c36 [75, 0] (w:1, o:128, a:1, s:1, b:0),
% 71.07/71.51 c37 [76, 0] (w:1, o:129, a:1, s:1, b:0),
% 71.07/71.51 p34 [77, 2] (w:1, o:199, a:1, s:1, b:0),
% 71.07/71.51 p35 [116, 2] (w:1, o:200, a:1, s:1, b:0),
% 71.07/71.51 c38 [124, 0] (w:1, o:139, a:1, s:1, b:0),
% 71.07/71.51 f7 [125, 2] (w:1, o:202, a:1, s:1, b:0),
% 71.07/71.51 f5 [126, 2] (w:1, o:203, a:1, s:1, b:0),
% 71.07/71.51 c39 [127, 0] (w:1, o:140, a:1, s:1, b:0),
% 71.07/71.51 f9 [128, 2] (w:1, o:204, a:1, s:1, b:0),
% 71.07/71.51 f12 [131, 2] (w:1, o:205, a:1, s:1, b:0),
% 71.07/71.51 f20 [136, 2] (w:1, o:209, a:1, s:1, b:0),
% 71.07/71.51 f30 [149, 2] (w:1, o:214, a:1, s:1, b:0),
% 71.07/71.51 f14 [154, 2] (w:1, o:206, a:1, s:1, b:0),
% 71.07/71.51 f32 [159, 2] (w:1, o:215, a:1, s:1, b:0),
% 71.07/71.51 f28 [164, 2] (w:1, o:210, a:1, s:1, b:0),
% 71.07/71.51 f24 [169, 2] (w:1, o:211, a:1, s:1, b:0),
% 71.07/71.51 f26 [178, 2] (w:1, o:212, a:1, s:1, b:0),
% 71.07/71.51 f22 [183, 2] (w:1, o:213, a:1, s:1, b:0),
% 71.07/71.51 f18 [188, 2] (w:1, o:207, a:1, s:1, b:0),
% 71.07/71.51 f16 [193, 2] (w:1, o:208, a:1, s:1, b:0),
% 71.07/71.51 c40 [199, 0] (w:1, o:144, a:1, s:1, b:0),
% 71.07/71.51 c46 [200, 0] (w:1, o:147, a:1, s:1, b:0),
% 71.07/71.51 c47 [204, 0] (w:1, o:148, a:1, s:1, b:0),
% 71.07/71.51 c45 [206, 0] (w:1, o:146, a:1, s:1, b:0),
% 71.07/71.51 c42 [209, 0] (w:1, o:150, a:1, s:1, b:0),
% 71.07/71.51 c43 [213, 0] (w:1, o:151, a:1, s:1, b:0),
% 71.07/71.51 c41 [214, 0] (w:1, o:149, a:1, s:1, b:0),
% 71.07/71.51 c44 [215, 0] (w:1, o:145, a:1, s:1, b:0).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 Starting Search:
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 Intermediate Status:
% 71.07/71.51 Generated: 13870
% 71.07/71.51 Kept: 2197
% 71.07/71.51 Inuse: 189
% 71.07/71.51 Deleted: 4
% 71.07/71.51 Deletedinuse: 2
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 Intermediate Status:
% 71.07/71.51 Generated: 32359
% 71.07/71.51 Kept: 4252
% 71.07/71.51 Inuse: 224
% 71.07/71.51 Deleted: 4
% 71.07/71.51 Deletedinuse: 2
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 Intermediate Status:
% 71.07/71.51 Generated: 51977
% 71.07/71.51 Kept: 6278
% 71.07/71.51 Inuse: 249
% 71.07/71.51 Deleted: 4
% 71.07/71.51 Deletedinuse: 2
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 Intermediate Status:
% 71.07/71.51 Generated: 83544
% 71.07/71.51 Kept: 8377
% 71.07/71.51 Inuse: 270
% 71.07/71.51 Deleted: 8
% 71.07/71.51 Deletedinuse: 6
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 Intermediate Status:
% 71.07/71.51 Generated: 115005
% 71.07/71.51 Kept: 10463
% 71.07/71.51 Inuse: 278
% 71.07/71.51 Deleted: 8
% 71.07/71.51 Deletedinuse: 6
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 Intermediate Status:
% 71.07/71.51 Generated: 147865
% 71.07/71.51 Kept: 12601
% 71.07/71.51 Inuse: 285
% 71.07/71.51 Deleted: 8
% 71.07/71.51 Deletedinuse: 6
% 71.07/71.51
% 71.07/71.51 Resimplifying inuse:
% 71.07/71.51 Done
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 Bliksems!, er is een bewijs:
% 71.07/71.51 % SZS status Unsatisfiable
% 71.07/71.51 % SZS output start Refutation
% 71.07/71.51
% 71.07/71.51 clause( 18, [ p34( c36, c37 ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 39, [ ~( p4( f5( X, f7( c38, X ) ), f5( f9( c39, X ), f7( c38, X )
% 71.07/71.51 ) ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 54, [ p35( f12( c37, f14( f16( f18( c40, X ), Z ), Y ) ), Y ), p4(
% 71.07/71.51 f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 55, [ p4( f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ), ~( p4( f5(
% 71.07/71.51 X, f14( f16( f18( c40, X ), Z ), Y ) ), f5( Z, f14( f16( f18( c40, X ), Z
% 71.07/71.51 ), Y ) ) ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 56, [ p4( f5( f26( f28( c46, X ), Y ), Z ), f5( f26( f28( c47, X )
% 71.07/71.51 , Y ), Z ) ), ~( p35( f12( X, Z ), f30( f32( c45, X ), Y ) ) ), p4( f5(
% 71.07/71.51 f26( f28( c46, X ), Y ), T ), f5( f9( Y, f26( f28( c46, X ), Y ) ), T ) )
% 71.07/71.51 , ~( p34( c36, X ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 57, [ ~( p34( c36, X ) ), p4( f5( f26( f28( c46, X ), Y ), Z ), f5(
% 71.07/71.51 f9( Y, f26( f28( c46, X ), Y ) ), Z ) ), ~( p4( f5( f9( Y, f26( f28( c46
% 71.07/71.51 , X ), Y ) ), f30( f32( c45, X ), Y ) ), f5( f9( Y, f26( f28( c47, X ), Y
% 71.07/71.51 ) ), f30( f32( c45, X ), Y ) ) ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 105, [ p4( f5( f26( f28( c46, c37 ), X ), Y ), f5( f26( f28( c47,
% 71.07/71.51 c37 ), X ), Y ) ), p4( f5( f26( f28( c46, c37 ), X ), Z ), f5( f9( X, f26(
% 71.07/71.51 f28( c46, c37 ), X ) ), Z ) ), ~( p35( f12( c37, Y ), f30( f32( c45, c37
% 71.07/71.51 ), X ) ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 131, [ p4( f5( f26( f28( c46, X ), c39 ), Y ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, X ), c39 ) ), Y ) ), p35( f12( c37, f14( f16( f18( c40, f26(
% 71.07/71.51 f28( c46, X ), c39 ) ), f26( f28( c47, X ), c39 ) ), f30( f32( c45, X ),
% 71.07/71.51 c39 ) ) ), f30( f32( c45, X ), c39 ) ), ~( p34( c36, X ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 448, [ p35( f12( c37, f14( f16( f18( c40, f26( f28( c46, c37 ), c39
% 71.07/71.51 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32( c45, c37 ), c39 ) ) ), f30(
% 71.07/71.51 f32( c45, c37 ), c39 ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5(
% 71.07/71.51 f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 472, [ p35( f12( c37, f14( f16( f18( c40, f26( f28( c46, c37 ), c39
% 71.07/71.51 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32( c45, c37 ), c39 ) ) ), f30(
% 71.07/71.51 f32( c45, c37 ), c39 ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 473, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, c37 ), c39 ) ), X ) ), p4( f5( f26( f28( c46, c37 ), c39 ), f14(
% 71.07/71.51 f16( f18( c40, f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 )
% 71.07/71.51 ), f30( f32( c45, c37 ), c39 ) ) ), f5( f26( f28( c47, c37 ), c39 ), f14(
% 71.07/71.51 f16( f18( c40, f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 )
% 71.07/71.51 ), f30( f32( c45, c37 ), c39 ) ) ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 14205, [ p4( f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ), f5( f9( c39, f26( f28( c47, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9(
% 71.07/71.51 c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 14335, [ p4( f5( f26( f28( c46, c37 ), c39 ), Y ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, c37 ), c39 ) ), Y ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X )
% 71.07/71.51 , f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 14338, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 .
% 71.07/71.51 clause( 14358, [] )
% 71.07/71.51 .
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 % SZS output end Refutation
% 71.07/71.51 found a proof!
% 71.07/71.51
% 71.07/71.51 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 71.07/71.51
% 71.07/71.51 initialclauses(
% 71.07/71.51 [ clause( 14360, [ p10( X, X ) ] )
% 71.07/71.51 , clause( 14361, [ p8( X, X ) ] )
% 71.07/71.51 , clause( 14362, [ p6( X, X ) ] )
% 71.07/71.51 , clause( 14363, [ p4( X, X ) ] )
% 71.07/71.51 , clause( 14364, [ p33( X, X ) ] )
% 71.07/71.51 , clause( 14365, [ p31( X, X ) ] )
% 71.07/71.51 , clause( 14366, [ p3( X, X ) ] )
% 71.07/71.51 , clause( 14367, [ p29( X, X ) ] )
% 71.07/71.51 , clause( 14368, [ p27( X, X ) ] )
% 71.07/71.51 , clause( 14369, [ p25( X, X ) ] )
% 71.07/71.51 , clause( 14370, [ p23( X, X ) ] )
% 71.07/71.51 , clause( 14371, [ p21( X, X ) ] )
% 71.07/71.51 , clause( 14372, [ p2( X, X ) ] )
% 71.07/71.51 , clause( 14373, [ p19( X, X ) ] )
% 71.07/71.51 , clause( 14374, [ p17( X, X ) ] )
% 71.07/71.51 , clause( 14375, [ p15( X, X ) ] )
% 71.07/71.51 , clause( 14376, [ p13( X, X ) ] )
% 71.07/71.51 , clause( 14377, [ p11( X, X ) ] )
% 71.07/71.51 , clause( 14378, [ p34( c36, c37 ) ] )
% 71.07/71.51 , clause( 14379, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14380, [ p8( X, Y ), ~( p8( Z, X ) ), ~( p8( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14381, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14382, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14383, [ p33( X, Y ), ~( p33( Z, X ) ), ~( p33( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14384, [ p31( X, Y ), ~( p31( Z, X ) ), ~( p31( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14385, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14386, [ p29( X, Y ), ~( p29( Z, X ) ), ~( p29( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14387, [ p27( X, Y ), ~( p27( Z, X ) ), ~( p27( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14388, [ p25( X, Y ), ~( p25( Z, X ) ), ~( p25( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14389, [ p23( X, Y ), ~( p23( Z, X ) ), ~( p23( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14390, [ p21( X, Y ), ~( p21( Z, X ) ), ~( p21( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14391, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14392, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14393, [ p17( X, Y ), ~( p17( Z, X ) ), ~( p17( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14394, [ p15( X, Y ), ~( p15( Z, X ) ), ~( p15( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14395, [ p13( X, Y ), ~( p13( Z, X ) ), ~( p13( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14396, [ p11( X, Y ), ~( p11( Z, X ) ), ~( p11( Z, Y ) ) ] )
% 71.07/71.51 , clause( 14397, [ p35( X, Y ), ~( p3( Z, Y ) ), ~( p35( T, Z ) ), ~( p11(
% 71.07/71.51 T, X ) ) ] )
% 71.07/71.51 , clause( 14398, [ p34( X, Y ), ~( p33( Z, X ) ), ~( p34( Z, T ) ), ~( p10(
% 71.07/71.51 T, Y ) ) ] )
% 71.07/71.51 , clause( 14399, [ ~( p4( f5( X, f7( c38, X ) ), f5( f9( c39, X ), f7( c38
% 71.07/71.51 , X ) ) ) ) ] )
% 71.07/71.51 , clause( 14400, [ p11( f12( X, Y ), f12( Z, T ) ), ~( p10( X, Z ) ), ~( p3(
% 71.07/71.51 Y, T ) ) ] )
% 71.07/71.51 , clause( 14401, [ p6( f20( X, Y ), f20( Z, T ) ), ~( p19( X, Z ) ), ~( p2(
% 71.07/71.51 Y, T ) ) ] )
% 71.07/71.51 , clause( 14402, [ p4( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y
% 71.07/71.51 , T ) ) ] )
% 71.07/71.51 , clause( 14403, [ p3( f7( X, Y ), f7( Z, T ) ), ~( p2( Y, T ) ), ~( p6( X
% 71.07/71.51 , Z ) ) ] )
% 71.07/71.51 , clause( 14404, [ p3( f30( X, Y ), f30( Z, T ) ), ~( p29( X, Z ) ), ~( p8(
% 71.07/71.51 Y, T ) ) ] )
% 71.07/71.51 , clause( 14405, [ p3( f14( X, Y ), f14( Z, T ) ), ~( p13( X, Z ) ), ~( p3(
% 71.07/71.51 Y, T ) ) ] )
% 71.07/71.51 , clause( 14406, [ p29( f32( X, Y ), f32( Z, T ) ), ~( p10( Y, T ) ), ~(
% 71.07/71.51 p31( X, Z ) ) ] )
% 71.07/71.51 , clause( 14407, [ p25( f28( X, Y ), f28( Z, T ) ), ~( p10( Y, T ) ), ~(
% 71.07/71.51 p27( X, Z ) ) ] )
% 71.07/71.51 , clause( 14408, [ p21( f24( X, Y ), f24( Z, T ) ), ~( p10( Y, T ) ), ~(
% 71.07/71.51 p23( X, Z ) ) ] )
% 71.07/71.51 , clause( 14409, [ p2( f9( X, Y ), f9( Z, T ) ), ~( p2( Y, T ) ), ~( p8( X
% 71.07/71.51 , Z ) ) ] )
% 71.07/71.51 , clause( 14410, [ p2( f26( X, Y ), f26( Z, T ) ), ~( p25( X, Z ) ), ~( p8(
% 71.07/71.51 Y, T ) ) ] )
% 71.07/71.51 , clause( 14411, [ p19( f22( X, Y ), f22( Z, T ) ), ~( p21( X, Z ) ), ~( p8(
% 71.07/71.51 Y, T ) ) ] )
% 71.07/71.51 , clause( 14412, [ p15( f18( X, Y ), f18( Z, T ) ), ~( p17( X, Z ) ), ~( p2(
% 71.07/71.51 Y, T ) ) ] )
% 71.07/71.51 , clause( 14413, [ p13( f16( X, Y ), f16( Z, T ) ), ~( p15( X, Z ) ), ~( p2(
% 71.07/71.51 Y, T ) ) ] )
% 71.07/71.51 , clause( 14414, [ p4( f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ), p35(
% 71.07/71.51 f12( c37, f14( f16( f18( c40, X ), Z ), Y ) ), Y ) ] )
% 71.07/71.51 , clause( 14415, [ p4( f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ), ~(
% 71.07/71.51 p4( f5( X, f14( f16( f18( c40, X ), Z ), Y ) ), f5( Z, f14( f16( f18( c40
% 71.07/71.51 , X ), Z ), Y ) ) ) ) ] )
% 71.07/71.51 , clause( 14416, [ p4( f5( f26( f28( c46, X ), Y ), Z ), f5( f26( f28( c47
% 71.07/71.51 , X ), Y ), Z ) ), p4( f5( f26( f28( c46, X ), Y ), T ), f5( f9( Y, f26(
% 71.07/71.51 f28( c46, X ), Y ) ), T ) ), ~( p34( c36, X ) ), ~( p35( f12( X, Z ), f30(
% 71.07/71.51 f32( c45, X ), Y ) ) ) ] )
% 71.07/71.51 , clause( 14417, [ p4( f5( f26( f28( c46, X ), Y ), Z ), f5( f9( Y, f26(
% 71.07/71.51 f28( c46, X ), Y ) ), Z ) ), ~( p34( c36, X ) ), ~( p4( f5( f9( Y, f26(
% 71.07/71.51 f28( c46, X ), Y ) ), f30( f32( c45, X ), Y ) ), f5( f9( Y, f26( f28( c47
% 71.07/71.51 , X ), Y ) ), f30( f32( c45, X ), Y ) ) ) ) ] )
% 71.07/71.51 , clause( 14418, [ p2( X, Y ), p4( f5( f26( f28( c42, Z ), T ), U ), f5(
% 71.07/71.51 f26( f28( c43, Z ), T ), U ) ), ~( p34( c36, Z ) ), ~( p35( f12( Z, U ),
% 71.07/71.51 f30( f32( c41, Z ), T ) ) ), ~( p4( f5( X, f7( f20( f22( f24( c44, Z ), T
% 71.07/71.51 ), X ), Y ) ), f5( f9( T, X ), f7( f20( f22( f24( c44, Z ), T ), X ), Y
% 71.07/71.51 ) ) ) ), ~( p4( f5( Y, f7( f20( f22( f24( c44, Z ), T ), X ), Y ) ), f5(
% 71.07/71.51 f9( T, Y ), f7( f20( f22( f24( c44, Z ), T ), X ), Y ) ) ) ) ] )
% 71.07/71.51 , clause( 14419, [ p2( X, Y ), ~( p34( c36, Z ) ), ~( p4( f5( X, f7( f20(
% 71.07/71.51 f22( f24( c44, Z ), T ), X ), Y ) ), f5( f9( T, X ), f7( f20( f22( f24(
% 71.07/71.51 c44, Z ), T ), X ), Y ) ) ) ), ~( p4( f5( Y, f7( f20( f22( f24( c44, Z )
% 71.07/71.51 , T ), X ), Y ) ), f5( f9( T, Y ), f7( f20( f22( f24( c44, Z ), T ), X )
% 71.07/71.51 , Y ) ) ) ), ~( p4( f5( f9( T, f26( f28( c42, Z ), T ) ), f30( f32( c41,
% 71.07/71.51 Z ), T ) ), f5( f9( T, f26( f28( c43, Z ), T ) ), f30( f32( c41, Z ), T )
% 71.07/71.51 ) ) ) ] )
% 71.07/71.51 ] ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 18, [ p34( c36, c37 ) ] )
% 71.07/71.51 , clause( 14378, [ p34( c36, c37 ) ] )
% 71.07/71.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 39, [ ~( p4( f5( X, f7( c38, X ) ), f5( f9( c39, X ), f7( c38, X )
% 71.07/71.51 ) ) ) ] )
% 71.07/71.51 , clause( 14399, [ ~( p4( f5( X, f7( c38, X ) ), f5( f9( c39, X ), f7( c38
% 71.07/71.51 , X ) ) ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 54, [ p35( f12( c37, f14( f16( f18( c40, X ), Z ), Y ) ), Y ), p4(
% 71.07/71.51 f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ) ] )
% 71.07/71.51 , clause( 14414, [ p4( f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ), p35(
% 71.07/71.51 f12( c37, f14( f16( f18( c40, X ), Z ), Y ) ), Y ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 71.07/71.51 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 55, [ p4( f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ), ~( p4( f5(
% 71.07/71.51 X, f14( f16( f18( c40, X ), Z ), Y ) ), f5( Z, f14( f16( f18( c40, X ), Z
% 71.07/71.51 ), Y ) ) ) ) ] )
% 71.07/71.51 , clause( 14415, [ p4( f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ), ~(
% 71.07/71.51 p4( f5( X, f14( f16( f18( c40, X ), Z ), Y ) ), f5( Z, f14( f16( f18( c40
% 71.07/71.51 , X ), Z ), Y ) ) ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 71.07/71.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 56, [ p4( f5( f26( f28( c46, X ), Y ), Z ), f5( f26( f28( c47, X )
% 71.07/71.51 , Y ), Z ) ), ~( p35( f12( X, Z ), f30( f32( c45, X ), Y ) ) ), p4( f5(
% 71.07/71.51 f26( f28( c46, X ), Y ), T ), f5( f9( Y, f26( f28( c46, X ), Y ) ), T ) )
% 71.07/71.51 , ~( p34( c36, X ) ) ] )
% 71.07/71.51 , clause( 14416, [ p4( f5( f26( f28( c46, X ), Y ), Z ), f5( f26( f28( c47
% 71.07/71.51 , X ), Y ), Z ) ), p4( f5( f26( f28( c46, X ), Y ), T ), f5( f9( Y, f26(
% 71.07/71.51 f28( c46, X ), Y ) ), T ) ), ~( p34( c36, X ) ), ~( p35( f12( X, Z ), f30(
% 71.07/71.51 f32( c45, X ), Y ) ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 71.07/71.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 1 )] )
% 71.07/71.51 ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 57, [ ~( p34( c36, X ) ), p4( f5( f26( f28( c46, X ), Y ), Z ), f5(
% 71.07/71.51 f9( Y, f26( f28( c46, X ), Y ) ), Z ) ), ~( p4( f5( f9( Y, f26( f28( c46
% 71.07/71.51 , X ), Y ) ), f30( f32( c45, X ), Y ) ), f5( f9( Y, f26( f28( c47, X ), Y
% 71.07/71.51 ) ), f30( f32( c45, X ), Y ) ) ) ) ] )
% 71.07/71.51 , clause( 14417, [ p4( f5( f26( f28( c46, X ), Y ), Z ), f5( f9( Y, f26(
% 71.07/71.51 f28( c46, X ), Y ) ), Z ) ), ~( p34( c36, X ) ), ~( p4( f5( f9( Y, f26(
% 71.07/71.51 f28( c46, X ), Y ) ), f30( f32( c45, X ), Y ) ), f5( f9( Y, f26( f28( c47
% 71.07/71.51 , X ), Y ) ), f30( f32( c45, X ), Y ) ) ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 71.07/71.51 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 resolution(
% 71.07/71.51 clause( 14510, [ p4( f5( f26( f28( c46, c37 ), X ), Y ), f5( f26( f28( c47
% 71.07/71.51 , c37 ), X ), Y ) ), ~( p35( f12( c37, Y ), f30( f32( c45, c37 ), X ) ) )
% 71.07/71.51 , p4( f5( f26( f28( c46, c37 ), X ), Z ), f5( f9( X, f26( f28( c46, c37 )
% 71.07/71.51 , X ) ), Z ) ) ] )
% 71.07/71.51 , clause( 56, [ p4( f5( f26( f28( c46, X ), Y ), Z ), f5( f26( f28( c47, X
% 71.07/71.51 ), Y ), Z ) ), ~( p35( f12( X, Z ), f30( f32( c45, X ), Y ) ) ), p4( f5(
% 71.07/71.51 f26( f28( c46, X ), Y ), T ), f5( f9( Y, f26( f28( c46, X ), Y ) ), T ) )
% 71.07/71.51 , ~( p34( c36, X ) ) ] )
% 71.07/71.51 , 3, clause( 18, [ p34( c36, c37 ) ] )
% 71.07/71.51 , 0, substitution( 0, [ :=( X, c37 ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 71.07/71.51 , substitution( 1, [] )).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 105, [ p4( f5( f26( f28( c46, c37 ), X ), Y ), f5( f26( f28( c47,
% 71.07/71.51 c37 ), X ), Y ) ), p4( f5( f26( f28( c46, c37 ), X ), Z ), f5( f9( X, f26(
% 71.07/71.51 f28( c46, c37 ), X ) ), Z ) ), ~( p35( f12( c37, Y ), f30( f32( c45, c37
% 71.07/71.51 ), X ) ) ) ] )
% 71.07/71.51 , clause( 14510, [ p4( f5( f26( f28( c46, c37 ), X ), Y ), f5( f26( f28(
% 71.07/71.51 c47, c37 ), X ), Y ) ), ~( p35( f12( c37, Y ), f30( f32( c45, c37 ), X )
% 71.07/71.51 ) ), p4( f5( f26( f28( c46, c37 ), X ), Z ), f5( f9( X, f26( f28( c46,
% 71.07/71.51 c37 ), X ) ), Z ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 71.07/71.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 resolution(
% 71.07/71.51 clause( 14511, [ ~( p34( c36, X ) ), p4( f5( f26( f28( c46, X ), c39 ), Y )
% 71.07/71.51 , f5( f9( c39, f26( f28( c46, X ), c39 ) ), Y ) ), p35( f12( c37, f14(
% 71.07/71.51 f16( f18( c40, f26( f28( c46, X ), c39 ) ), f26( f28( c47, X ), c39 ) ),
% 71.07/71.51 f30( f32( c45, X ), c39 ) ) ), f30( f32( c45, X ), c39 ) ) ] )
% 71.07/71.51 , clause( 57, [ ~( p34( c36, X ) ), p4( f5( f26( f28( c46, X ), Y ), Z ),
% 71.07/71.51 f5( f9( Y, f26( f28( c46, X ), Y ) ), Z ) ), ~( p4( f5( f9( Y, f26( f28(
% 71.07/71.51 c46, X ), Y ) ), f30( f32( c45, X ), Y ) ), f5( f9( Y, f26( f28( c47, X )
% 71.07/71.51 , Y ) ), f30( f32( c45, X ), Y ) ) ) ) ] )
% 71.07/71.51 , 2, clause( 54, [ p35( f12( c37, f14( f16( f18( c40, X ), Z ), Y ) ), Y )
% 71.07/71.51 , p4( f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ) ] )
% 71.07/71.51 , 1, substitution( 0, [ :=( X, X ), :=( Y, c39 ), :=( Z, Y )] ),
% 71.07/71.51 substitution( 1, [ :=( X, f26( f28( c46, X ), c39 ) ), :=( Y, f30( f32(
% 71.07/71.51 c45, X ), c39 ) ), :=( Z, f26( f28( c47, X ), c39 ) )] )).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 131, [ p4( f5( f26( f28( c46, X ), c39 ), Y ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, X ), c39 ) ), Y ) ), p35( f12( c37, f14( f16( f18( c40, f26(
% 71.07/71.51 f28( c46, X ), c39 ) ), f26( f28( c47, X ), c39 ) ), f30( f32( c45, X ),
% 71.07/71.51 c39 ) ) ), f30( f32( c45, X ), c39 ) ), ~( p34( c36, X ) ) ] )
% 71.07/71.51 , clause( 14511, [ ~( p34( c36, X ) ), p4( f5( f26( f28( c46, X ), c39 ), Y
% 71.07/71.51 ), f5( f9( c39, f26( f28( c46, X ), c39 ) ), Y ) ), p35( f12( c37, f14(
% 71.07/71.51 f16( f18( c40, f26( f28( c46, X ), c39 ) ), f26( f28( c47, X ), c39 ) ),
% 71.07/71.51 f30( f32( c45, X ), c39 ) ) ), f30( f32( c45, X ), c39 ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 71.07/71.51 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 resolution(
% 71.07/71.51 clause( 14512, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, c37 ), c39 ) ), X ) ), p35( f12( c37, f14( f16( f18( c40, f26(
% 71.07/71.51 f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32( c45,
% 71.07/71.51 c37 ), c39 ) ) ), f30( f32( c45, c37 ), c39 ) ) ] )
% 71.07/71.51 , clause( 131, [ p4( f5( f26( f28( c46, X ), c39 ), Y ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, X ), c39 ) ), Y ) ), p35( f12( c37, f14( f16( f18( c40, f26(
% 71.07/71.51 f28( c46, X ), c39 ) ), f26( f28( c47, X ), c39 ) ), f30( f32( c45, X ),
% 71.07/71.51 c39 ) ) ), f30( f32( c45, X ), c39 ) ), ~( p34( c36, X ) ) ] )
% 71.07/71.51 , 2, clause( 18, [ p34( c36, c37 ) ] )
% 71.07/71.51 , 0, substitution( 0, [ :=( X, c37 ), :=( Y, X )] ), substitution( 1, [] )
% 71.07/71.51 ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 448, [ p35( f12( c37, f14( f16( f18( c40, f26( f28( c46, c37 ), c39
% 71.07/71.51 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32( c45, c37 ), c39 ) ) ), f30(
% 71.07/71.51 f32( c45, c37 ), c39 ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5(
% 71.07/71.51 f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , clause( 14512, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39,
% 71.07/71.51 f26( f28( c46, c37 ), c39 ) ), X ) ), p35( f12( c37, f14( f16( f18( c40,
% 71.07/71.51 f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ) ), f30( f32( c45, c37 ), c39 ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 71.07/71.51 0 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 resolution(
% 71.07/71.51 clause( 14513, [ p35( f12( c37, f14( f16( f18( c40, f26( f28( c46, c37 ),
% 71.07/71.51 c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32( c45, c37 ), c39 ) ) ),
% 71.07/71.51 f30( f32( c45, c37 ), c39 ) ) ] )
% 71.07/71.51 , clause( 39, [ ~( p4( f5( X, f7( c38, X ) ), f5( f9( c39, X ), f7( c38, X
% 71.07/71.51 ) ) ) ) ] )
% 71.07/71.51 , 0, clause( 448, [ p35( f12( c37, f14( f16( f18( c40, f26( f28( c46, c37 )
% 71.07/71.51 , c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32( c45, c37 ), c39 ) ) )
% 71.07/71.51 , f30( f32( c45, c37 ), c39 ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X )
% 71.07/71.51 , f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , 1, substitution( 0, [ :=( X, f26( f28( c46, c37 ), c39 ) )] ),
% 71.07/71.51 substitution( 1, [ :=( X, f7( c38, f26( f28( c46, c37 ), c39 ) ) )] )
% 71.07/71.51 ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 472, [ p35( f12( c37, f14( f16( f18( c40, f26( f28( c46, c37 ), c39
% 71.07/71.51 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32( c45, c37 ), c39 ) ) ), f30(
% 71.07/71.51 f32( c45, c37 ), c39 ) ) ] )
% 71.07/71.51 , clause( 14513, [ p35( f12( c37, f14( f16( f18( c40, f26( f28( c46, c37 )
% 71.07/71.51 , c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32( c45, c37 ), c39 ) ) )
% 71.07/71.51 , f30( f32( c45, c37 ), c39 ) ) ] )
% 71.07/71.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 resolution(
% 71.07/71.51 clause( 14514, [ p4( f5( f26( f28( c46, c37 ), c39 ), f14( f16( f18( c40,
% 71.07/71.51 f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ) ), f5( f26( f28( c47, c37 ), c39 ), f14( f16( f18(
% 71.07/71.51 c40, f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30(
% 71.07/71.51 f32( c45, c37 ), c39 ) ) ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X ),
% 71.07/71.51 f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , clause( 105, [ p4( f5( f26( f28( c46, c37 ), X ), Y ), f5( f26( f28( c47
% 71.07/71.51 , c37 ), X ), Y ) ), p4( f5( f26( f28( c46, c37 ), X ), Z ), f5( f9( X,
% 71.07/71.51 f26( f28( c46, c37 ), X ) ), Z ) ), ~( p35( f12( c37, Y ), f30( f32( c45
% 71.07/71.51 , c37 ), X ) ) ) ] )
% 71.07/71.51 , 2, clause( 472, [ p35( f12( c37, f14( f16( f18( c40, f26( f28( c46, c37 )
% 71.07/71.51 , c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32( c45, c37 ), c39 ) ) )
% 71.07/71.51 , f30( f32( c45, c37 ), c39 ) ) ] )
% 71.07/71.51 , 0, substitution( 0, [ :=( X, c39 ), :=( Y, f14( f16( f18( c40, f26( f28(
% 71.07/71.51 c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32( c45, c37 )
% 71.07/71.51 , c39 ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 473, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, c37 ), c39 ) ), X ) ), p4( f5( f26( f28( c46, c37 ), c39 ), f14(
% 71.07/71.51 f16( f18( c40, f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 )
% 71.07/71.51 ), f30( f32( c45, c37 ), c39 ) ) ), f5( f26( f28( c47, c37 ), c39 ), f14(
% 71.07/71.51 f16( f18( c40, f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 )
% 71.07/71.51 ), f30( f32( c45, c37 ), c39 ) ) ) ) ] )
% 71.07/71.51 , clause( 14514, [ p4( f5( f26( f28( c46, c37 ), c39 ), f14( f16( f18( c40
% 71.07/71.51 , f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ) ), f5( f26( f28( c47, c37 ), c39 ), f14( f16( f18(
% 71.07/71.51 c40, f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 ), c39 ) ), f30(
% 71.07/71.51 f32( c45, c37 ), c39 ) ) ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X ),
% 71.07/71.51 f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 71.07/71.51 0 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 resolution(
% 71.07/71.51 clause( 14516, [ p4( f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ), f5( f9( c39, f26( f28( c47, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9(
% 71.07/71.51 c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , clause( 55, [ p4( f5( f9( c39, X ), Y ), f5( f9( c39, Z ), Y ) ), ~( p4(
% 71.07/71.51 f5( X, f14( f16( f18( c40, X ), Z ), Y ) ), f5( Z, f14( f16( f18( c40, X
% 71.07/71.51 ), Z ), Y ) ) ) ) ] )
% 71.07/71.51 , 1, clause( 473, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39,
% 71.07/71.51 f26( f28( c46, c37 ), c39 ) ), X ) ), p4( f5( f26( f28( c46, c37 ), c39 )
% 71.07/71.51 , f14( f16( f18( c40, f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37 )
% 71.07/71.51 , c39 ) ), f30( f32( c45, c37 ), c39 ) ) ), f5( f26( f28( c47, c37 ), c39
% 71.07/71.51 ), f14( f16( f18( c40, f26( f28( c46, c37 ), c39 ) ), f26( f28( c47, c37
% 71.07/71.51 ), c39 ) ), f30( f32( c45, c37 ), c39 ) ) ) ) ] )
% 71.07/71.51 , 1, substitution( 0, [ :=( X, f26( f28( c46, c37 ), c39 ) ), :=( Y, f30(
% 71.07/71.51 f32( c45, c37 ), c39 ) ), :=( Z, f26( f28( c47, c37 ), c39 ) )] ),
% 71.07/71.51 substitution( 1, [ :=( X, X )] )).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 14205, [ p4( f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ), f5( f9( c39, f26( f28( c47, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9(
% 71.07/71.51 c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , clause( 14516, [ p4( f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ), f5( f9( c39, f26( f28( c47, c37 ), c39 ) ), f30( f32(
% 71.07/71.51 c45, c37 ), c39 ) ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9(
% 71.07/71.51 c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 71.07/71.51 1 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 resolution(
% 71.07/71.51 clause( 14517, [ ~( p34( c36, c37 ) ), p4( f5( f26( f28( c46, c37 ), c39 )
% 71.07/71.51 , X ), f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ), p4( f5( f26(
% 71.07/71.51 f28( c46, c37 ), c39 ), Y ), f5( f9( c39, f26( f28( c46, c37 ), c39 ) ),
% 71.07/71.51 Y ) ) ] )
% 71.07/71.51 , clause( 57, [ ~( p34( c36, X ) ), p4( f5( f26( f28( c46, X ), Y ), Z ),
% 71.07/71.51 f5( f9( Y, f26( f28( c46, X ), Y ) ), Z ) ), ~( p4( f5( f9( Y, f26( f28(
% 71.07/71.51 c46, X ), Y ) ), f30( f32( c45, X ), Y ) ), f5( f9( Y, f26( f28( c47, X )
% 71.07/71.51 , Y ) ), f30( f32( c45, X ), Y ) ) ) ) ] )
% 71.07/71.51 , 2, clause( 14205, [ p4( f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), f30(
% 71.07/71.51 f32( c45, c37 ), c39 ) ), f5( f9( c39, f26( f28( c47, c37 ), c39 ) ), f30(
% 71.07/71.51 f32( c45, c37 ), c39 ) ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5(
% 71.07/71.51 f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , 0, substitution( 0, [ :=( X, c37 ), :=( Y, c39 ), :=( Z, X )] ),
% 71.07/71.51 substitution( 1, [ :=( X, Y )] )).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 resolution(
% 71.07/71.51 clause( 14520, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, c37 ), c39 ) ), X ) ), p4( f5( f26( f28( c46, c37 ), c39 ), Y )
% 71.07/71.51 , f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), Y ) ) ] )
% 71.07/71.51 , clause( 14517, [ ~( p34( c36, c37 ) ), p4( f5( f26( f28( c46, c37 ), c39
% 71.07/71.51 ), X ), f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ), p4( f5( f26(
% 71.07/71.51 f28( c46, c37 ), c39 ), Y ), f5( f9( c39, f26( f28( c46, c37 ), c39 ) ),
% 71.07/71.51 Y ) ) ] )
% 71.07/71.51 , 0, clause( 18, [ p34( c36, c37 ) ] )
% 71.07/71.51 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 71.07/71.51 ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 14335, [ p4( f5( f26( f28( c46, c37 ), c39 ), Y ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, c37 ), c39 ) ), Y ) ), p4( f5( f26( f28( c46, c37 ), c39 ), X )
% 71.07/71.51 , f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , clause( 14520, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39,
% 71.07/71.51 f26( f28( c46, c37 ), c39 ) ), X ) ), p4( f5( f26( f28( c46, c37 ), c39 )
% 71.07/71.51 , Y ), f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), Y ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, Y ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 71.07/71.51 ), ==>( 1, 0 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 factor(
% 71.07/71.51 clause( 14522, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , clause( 14335, [ p4( f5( f26( f28( c46, c37 ), c39 ), Y ), f5( f9( c39,
% 71.07/71.51 f26( f28( c46, c37 ), c39 ) ), Y ) ), p4( f5( f26( f28( c46, c37 ), c39 )
% 71.07/71.51 , X ), f5( f9( c39, f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 14338, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39, f26(
% 71.07/71.51 f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , clause( 14522, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39,
% 71.07/71.51 f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 resolution(
% 71.07/71.51 clause( 14523, [] )
% 71.07/71.51 , clause( 39, [ ~( p4( f5( X, f7( c38, X ) ), f5( f9( c39, X ), f7( c38, X
% 71.07/71.51 ) ) ) ) ] )
% 71.07/71.51 , 0, clause( 14338, [ p4( f5( f26( f28( c46, c37 ), c39 ), X ), f5( f9( c39
% 71.07/71.51 , f26( f28( c46, c37 ), c39 ) ), X ) ) ] )
% 71.07/71.51 , 0, substitution( 0, [ :=( X, f26( f28( c46, c37 ), c39 ) )] ),
% 71.07/71.51 substitution( 1, [ :=( X, f7( c38, f26( f28( c46, c37 ), c39 ) ) )] )
% 71.07/71.51 ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 subsumption(
% 71.07/71.51 clause( 14358, [] )
% 71.07/71.51 , clause( 14523, [] )
% 71.07/71.51 , substitution( 0, [] ), permutation( 0, [] ) ).
% 71.07/71.51
% 71.07/71.51
% 71.07/71.51 end.
% 71.07/71.51
% 71.07/71.51 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 71.07/71.52
% 71.07/71.52 Memory use:
% 71.07/71.52
% 71.07/71.52 space for terms: 2947964
% 71.07/71.52 space for clauses: 575645
% 71.07/71.52
% 71.07/71.52
% 71.07/71.52 clauses generated: 174457
% 71.07/71.52 clauses kept: 14359
% 71.07/71.52 clauses selected: 297
% 71.07/71.52 clauses deleted: 12
% 71.07/71.52 clauses inuse deleted: 6
% 71.07/71.52
% 71.07/71.52 subsentry: 80209372
% 71.07/71.52 literals s-matched: 27528558
% 71.07/71.52 literals matched: 16162534
% 71.07/71.52 full subsumption: 15757690
% 71.07/71.52
% 71.07/71.52 checksum: -1924757913
% 71.07/71.52
% 71.07/71.52
% 71.07/71.52 Bliksem ended
%------------------------------------------------------------------------------