TSTP Solution File: PUZ038-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PUZ038-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : Mon Jul 18 17:58:18 EDT 2022
% Result : Unsatisfiable 0.69s 1.09s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : PUZ038-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 : Sun May 29 00:21:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.08 *** allocated 10000 integers for termspace/termends
% 0.69/1.08 *** allocated 10000 integers for clauses
% 0.69/1.08 *** allocated 10000 integers for justifications
% 0.69/1.08 Bliksem 1.12
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Automatic Strategy Selection
% 0.69/1.08
% 0.69/1.08 Clauses:
% 0.69/1.08 [
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, s1( V0, V1 ), V2, V3, V4, e1( V0, s( V1 )
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, s1( V0, s( V1 ) ), V2, V3, V4, e1(
% 0.69/1.08 V0, V1 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, s1( V0, s( V1 ) ), V2, V3, V4, e1( V0, V1
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, s1( V0, V1 ), V2, V3, V4, e1( V0, s(
% 0.69/1.08 V1 ) ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, s1( V0, V1 ), V2, V3, V4, e1( s( V0 ), V1
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, s1( s( V0 ), V1 ), V2, V3, V4, e1(
% 0.69/1.08 V0, V1 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, s1( s( V0 ), V1 ), V2, V3, V4, e1( V0, V1
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, s1( V0, V1 ), V2, V3, V4, e1( s( V0
% 0.69/1.08 ), V1 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, s2( V1, V2 ), V3, V4, e1( V1, s( V2 )
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, s2( V1, s( V2 ) ), V3, V4, e1(
% 0.69/1.08 V1, V2 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, s2( V1, s( V2 ) ), V3, V4, e1( V1, V2
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, s2( V1, V2 ), V3, V4, e1( V1, s(
% 0.69/1.08 V2 ) ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, s2( V1, V2 ), V3, V4, e1( s( V1 ), V2
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, s2( s( V1 ), V2 ), V3, V4, e1(
% 0.69/1.08 V1, V2 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, s2( s( V1 ), V2 ), V3, V4, e1( V1, V2
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, s2( V1, V2 ), V3, V4, e1( s( V1
% 0.69/1.08 ), V2 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, V1, s3( V2, V3 ), V4, e1( V2, s( V3 )
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, s3( V2, s( V3 ) ), V4, e1(
% 0.69/1.08 V2, V3 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, V1, s3( V2, s( V3 ) ), V4, e1( V2, V3
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, s3( V2, V3 ), V4, e1( V2, s(
% 0.69/1.08 V3 ) ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, V1, s3( V2, V3 ), V4, e1( s( V2 ), V3
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, s3( s( V2 ), V3 ), V4, e1(
% 0.69/1.08 V2, V3 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, V1, s3( s( V2 ), V3 ), V4, e1( V2, V3
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, s3( V2, V3 ), V4, e1( s( V2
% 0.69/1.08 ), V3 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, V4 ), e1( V3, s( V4 )
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, s( V4 ) ), e1(
% 0.69/1.08 V3, V4 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, s( V4 ) ), e1( V3, V4
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, V4 ), e1( V3, s(
% 0.69/1.08 V4 ) ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, V4 ), e1( s( V3 ), V4
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, V2, s4( s( V3 ), V4 ), e1(
% 0.69/1.08 V3, V4 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, W, V0, V1, V2, s4( s( V3 ), V4 ), e1( V3, V4
% 0.69/1.08 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, V4 ), e1( s( V3
% 0.69/1.08 ), V4 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, v1( Y, Z ), T, U, W, V0, V1, V2, V3, V4, e1( Y, s( Z ) )
% 0.69/1.08 , e2( s( Y ), s( Z ) ) ) ), state( X, v1( Y, s( Z ) ), T, U, W, V0, V1,
% 0.69/1.08 V2, V3, V4, e1( Y, Z ), e2( s( Y ), Z ) ) ],
% 0.69/1.08 [ ~( state( X, v1( Y, s( Z ) ), T, U, W, V0, V1, V2, V3, V4, e1( Y, Z )
% 0.69/1.08 , e2( s( Y ), Z ) ) ), state( X, v1( Y, Z ), T, U, W, V0, V1, V2, V3, V4
% 0.69/1.08 , e1( Y, s( Z ) ), e2( s( Y ), s( Z ) ) ) ],
% 0.69/1.08 [ ~( state( X, v1( Y, Z ), T, U, W, V0, V1, V2, V3, V4, e1( s( s( Y ) )
% 0.69/1.08 , Z ), V5 ) ), state( X, v1( s( Y ), Z ), T, U, W, V0, V1, V2, V3, V4, e1(
% 0.69/1.08 Y, Z ), V5 ) ],
% 0.69/1.08 [ ~( state( X, v1( s( Y ), Z ), T, U, W, V0, V1, V2, V3, V4, e1( Y, Z )
% 0.69/1.08 , V5 ) ), state( X, v1( Y, Z ), T, U, W, V0, V1, V2, V3, V4, e1( s( s( Y
% 0.69/1.08 ) ), Z ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, v2( Z, T ), U, W, V0, V1, V2, V3, V4, e1( Z, s( T ) )
% 0.69/1.08 , e2( s( Z ), s( T ) ) ) ), state( X, Y, v2( Z, s( T ) ), U, W, V0, V1,
% 0.69/1.08 V2, V3, V4, e1( Z, T ), e2( s( Z ), T ) ) ],
% 0.69/1.08 [ ~( state( X, Y, v2( Z, s( T ) ), U, W, V0, V1, V2, V3, V4, e1( Z, T )
% 0.69/1.08 , e2( s( Z ), T ) ) ), state( X, Y, v2( Z, T ), U, W, V0, V1, V2, V3, V4
% 0.69/1.08 , e1( Z, s( T ) ), e2( s( Z ), s( T ) ) ) ],
% 0.69/1.08 [ ~( state( X, Y, v2( Z, T ), U, W, V0, V1, V2, V3, V4, e1( s( s( Z ) )
% 0.69/1.08 , T ), V5 ) ), state( X, Y, v2( s( Z ), T ), U, W, V0, V1, V2, V3, V4, e1(
% 0.69/1.08 Z, T ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, v2( s( Z ), T ), U, W, V0, V1, V2, V3, V4, e1( Z, T )
% 0.69/1.08 , V5 ) ), state( X, Y, v2( Z, T ), U, W, V0, V1, V2, V3, V4, e1( s( s( Z
% 0.69/1.08 ) ), T ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4, e1( T, s( U ) )
% 0.69/1.08 , e2( s( T ), s( U ) ) ) ), state( X, Y, Z, v3( T, s( U ) ), W, V0, V1,
% 0.69/1.08 V2, V3, V4, e1( T, U ), e2( s( T ), U ) ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, v3( T, s( U ) ), W, V0, V1, V2, V3, V4, e1( T, U )
% 0.69/1.08 , e2( s( T ), U ) ) ), state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4
% 0.69/1.08 , e1( T, s( U ) ), e2( s( T ), s( U ) ) ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4, e1( s( s( T ) )
% 0.69/1.08 , U ), V5 ) ), state( X, Y, Z, v3( s( T ), U ), W, V0, V1, V2, V3, V4, e1(
% 0.69/1.08 T, U ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, v3( s( T ), U ), W, V0, V1, V2, V3, V4, e1( T, U )
% 0.69/1.08 , V5 ) ), state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4, e1( s( s( T
% 0.69/1.08 ) ), U ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, v4( U, W ), V0, V1, V2, V3, V4, e1( U, s( W ) )
% 0.69/1.08 , e2( s( U ), s( W ) ) ) ), state( X, Y, Z, T, v4( U, s( W ) ), V0, V1,
% 0.69/1.08 V2, V3, V4, e1( U, W ), e2( s( U ), W ) ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, v4( U, s( W ) ), V0, V1, V2, V3, V4, e1( U, W )
% 0.69/1.08 , e2( s( U ), W ) ) ), state( X, Y, Z, T, v4( U, W ), V0, V1, V2, V3, V4
% 0.69/1.08 , e1( U, s( W ) ), e2( s( U ), s( W ) ) ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, v4( U, W ), V0, V1, V2, V3, V4, e1( s( s( U ) )
% 0.69/1.08 , W ), V5 ) ), state( X, Y, Z, T, v4( s( U ), W ), V0, V1, V2, V3, V4, e1(
% 0.69/1.08 U, W ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, v4( s( U ), W ), V0, V1, V2, V3, V4, e1( U, W )
% 0.69/1.08 , V5 ) ), state( X, Y, Z, T, v4( U, W ), V0, V1, V2, V3, V4, e1( s( s( U
% 0.69/1.08 ) ), W ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, h( W, V0 ), V1, V2, V3, V4, e1( W, s( s( V0 )
% 0.69/1.08 ) ), V5 ) ), state( X, Y, Z, T, U, h( W, s( V0 ) ), V1, V2, V3, V4, e1(
% 0.69/1.08 W, V0 ), V5 ) ],
% 0.69/1.08 [ ~( state( X, Y, Z, T, U, h( W, s( V0 ) ), V1, V2, V3, V4, e1( W, V0 )
% 0.69/1.08 , V5 ) ), state( X, Y, Z, T, U, h( W, V0 ), V1, V2, V3, V4, e1( W, s( s(
% 0.69/1.09 V0 ) ) ), V5 ) ],
% 0.69/1.09 [ ~( state( X, Y, Z, T, U, h( W, V0 ), V1, V2, V3, V4, e1( s( W ), V0 )
% 0.69/1.09 , e2( s( W ), s( V0 ) ) ) ), state( X, Y, Z, T, U, h( s( W ), V0 ), V1,
% 0.69/1.09 V2, V3, V4, e1( W, V0 ), e2( W, s( V0 ) ) ) ],
% 0.69/1.09 [ ~( state( X, Y, Z, T, U, h( s( W ), V0 ), V1, V2, V3, V4, e1( W, V0 )
% 0.69/1.09 , e2( W, s( V0 ) ) ) ), state( X, Y, Z, T, U, h( W, V0 ), V1, V2, V3, V4
% 0.69/1.09 , e1( s( W ), V0 ), e2( s( W ), s( V0 ) ) ) ],
% 0.69/1.09 [ ~( state( bb( X, Y ), Z, T, U, W, V0, V1, V2, V3, V4, e1( X, s( s( Y )
% 0.69/1.09 ) ), e2( s( X ), s( s( Y ) ) ) ) ), state( bb( X, s( Y ) ), Z, T, U, W,
% 0.69/1.09 V0, V1, V2, V3, V4, e1( X, Y ), e2( s( X ), Y ) ) ],
% 0.69/1.09 [ ~( state( bb( X, s( Y ) ), Z, T, U, W, V0, V1, V2, V3, V4, e1( X, Y )
% 0.69/1.09 , e2( s( X ), Y ) ) ), state( bb( X, Y ), Z, T, U, W, V0, V1, V2, V3, V4
% 0.69/1.09 , e1( X, s( s( Y ) ) ), e2( s( X ), s( s( Y ) ) ) ) ],
% 0.69/1.09 [ ~( state( bb( X, Y ), Z, T, U, W, V0, V1, V2, V3, V4, e1( s( s( X ) )
% 0.69/1.09 , Y ), e2( s( s( X ) ), s( Y ) ) ) ), state( bb( s( X ), Y ), Z, T, U, W
% 0.69/1.09 , V0, V1, V2, V3, V4, e1( X, Y ), e2( X, s( Y ) ) ) ],
% 0.69/1.09 [ ~( state( bb( s( X ), Y ), Z, T, U, W, V0, V1, V2, V3, V4, e1( X, Y )
% 0.69/1.09 , e2( X, s( Y ) ) ) ), state( bb( X, Y ), Z, T, U, W, V0, V1, V2, V3, V4
% 0.69/1.09 , e1( s( s( X ) ), Y ), e2( s( s( X ) ), s( Y ) ) ) ],
% 0.69/1.09 [ ~( state( X, Y, Z, T, U, W, V0, V1, V2, V3, e1( V4, V5 ), e2( V6, V7 )
% 0.69/1.09 ) ), state( X, Y, Z, T, U, W, V0, V1, V2, V3, e1( V6, V7 ), e2( V4, V5 )
% 0.69/1.09 ) ],
% 0.69/1.09 [ state( bb( o, s( o ) ), v1( o, o ), v2( o, s( s( s( o ) ) ) ), v3( s(
% 0.69/1.09 s( o ) ), o ), v4( s( s( o ) ), s( s( s( o ) ) ) ), h( s( s( o ) ), s( o
% 0.69/1.09 ) ), s1( s( s( s( o ) ) ), s( o ) ), s2( s( s( s( o ) ) ), s( s( o ) ) )
% 0.69/1.09 , s3( s( s( s( s( o ) ) ) ), s( o ) ), s4( s( s( s( s( o ) ) ) ), s( s( o
% 0.69/1.09 ) ) ), e1( s( s( s( s( o ) ) ) ), o ), e2( s( s( s( s( o ) ) ) ), s( s(
% 0.69/1.09 s( o ) ) ) ) ) ],
% 0.69/1.09 [ ~( state( X, Y, Z, v3( s( s( s( o ) ) ), o ), T, U, W, V0, V1, V2, V3
% 0.69/1.09 , V4 ) ) ]
% 0.69/1.09 ] .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 percentage equality = 0.000000, percentage horn = 1.000000
% 0.69/1.09 This is a near-Horn, non-equality problem
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Options Used:
% 0.69/1.09
% 0.69/1.09 useres = 1
% 0.69/1.09 useparamod = 0
% 0.69/1.09 useeqrefl = 0
% 0.69/1.09 useeqfact = 0
% 0.69/1.09 usefactor = 1
% 0.69/1.09 usesimpsplitting = 0
% 0.69/1.09 usesimpdemod = 0
% 0.69/1.09 usesimpres = 4
% 0.69/1.09
% 0.69/1.09 resimpinuse = 1000
% 0.69/1.09 resimpclauses = 20000
% 0.69/1.09 substype = standard
% 0.69/1.09 backwardsubs = 1
% 0.69/1.09 selectoldest = 5
% 0.69/1.09
% 0.69/1.09 litorderings [0] = split
% 0.69/1.09 litorderings [1] = liftord
% 0.69/1.09
% 0.69/1.09 termordering = none
% 0.69/1.09
% 0.69/1.09 litapriori = 1
% 0.69/1.09 termapriori = 0
% 0.69/1.09 litaposteriori = 0
% 0.69/1.09 termaposteriori = 0
% 0.69/1.09 demodaposteriori = 0
% 0.69/1.09 ordereqreflfact = 0
% 0.69/1.09
% 0.69/1.09 litselect = negative
% 0.69/1.09
% 0.69/1.09 maxweight = 30000
% 0.69/1.09 maxdepth = 30000
% 0.69/1.09 maxlength = 115
% 0.69/1.09 maxnrvars = 195
% 0.69/1.09 excuselevel = 0
% 0.69/1.09 increasemaxweight = 0
% 0.69/1.09
% 0.69/1.09 maxselected = 10000000
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09
% 0.69/1.09 showgenerated = 0
% 0.69/1.09 showkept = 0
% 0.69/1.09 showselected = 0
% 0.69/1.09 showdeleted = 0
% 0.69/1.09 showresimp = 1
% 0.69/1.09 showstatus = 2000
% 0.69/1.09
% 0.69/1.09 prologoutput = 1
% 0.69/1.09 nrgoals = 5000000
% 0.69/1.09 totalproof = 1
% 0.69/1.09
% 0.69/1.09 Symbols occurring in the translation:
% 0.69/1.09
% 0.69/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.09 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.69/1.09 ! [4, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.69/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 s1 [47, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.69/1.09 s [51, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.69/1.09 e1 [52, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.69/1.09 state [54, 12] (w:1, o:69, a:1, s:1, b:0),
% 0.69/1.09 s2 [56, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.69/1.09 s3 [57, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.69/1.09 s4 [58, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.69/1.09 v1 [59, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.69/1.09 e2 [60, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.69/1.09 v2 [61, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.69/1.09 v3 [62, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.69/1.09 v4 [63, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.69/1.09 h [64, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.69/1.09 bb [65, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.69/1.09 o [68, 0] (w:1, o:7, a:1, s:1, b:0).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksems!, er is een bewijs:
% 0.69/1.09 % SZS status Unsatisfiable
% 0.69/1.09 % SZS output start Refutation
% 0.69/1.09
% 0.69/1.09 clause( 26, [ state( X, Y, Z, v3( s( T ), U ), W, V0, V1, V2, V3, V4, e1( T
% 0.69/1.09 , U ), V5 ), ~( state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4, e1( s(
% 0.69/1.09 s( T ) ), U ), V5 ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 41, [ state( bb( o, s( o ) ), v1( o, o ), v2( o, s( s( s( o ) ) ) )
% 0.69/1.09 , v3( s( s( o ) ), o ), v4( s( s( o ) ), s( s( s( o ) ) ) ), h( s( s( o )
% 0.69/1.09 ), s( o ) ), s1( s( s( s( o ) ) ), s( o ) ), s2( s( s( s( o ) ) ), s( s(
% 0.69/1.09 o ) ) ), s3( s( s( s( s( o ) ) ) ), s( o ) ), s4( s( s( s( s( o ) ) ) ),
% 0.69/1.09 s( s( o ) ) ), e1( s( s( s( s( o ) ) ) ), o ), e2( s( s( s( s( o ) ) ) )
% 0.69/1.09 , s( s( s( o ) ) ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 42, [ ~( state( X, Y, Z, v3( s( s( s( o ) ) ), o ), T, U, W, V0, V1
% 0.69/1.09 , V2, V3, V4 ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 43, [] )
% 0.69/1.09 .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 % SZS output end Refutation
% 0.69/1.09 found a proof!
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 initialclauses(
% 0.69/1.09 [ clause( 45, [ ~( state( X, Y, Z, T, U, W, s1( V0, V1 ), V2, V3, V4, e1(
% 0.69/1.09 V0, s( V1 ) ), V5 ) ), state( X, Y, Z, T, U, W, s1( V0, s( V1 ) ), V2, V3
% 0.69/1.09 , V4, e1( V0, V1 ), V5 ) ] )
% 0.69/1.09 , clause( 46, [ ~( state( X, Y, Z, T, U, W, s1( V0, s( V1 ) ), V2, V3, V4,
% 0.69/1.09 e1( V0, V1 ), V5 ) ), state( X, Y, Z, T, U, W, s1( V0, V1 ), V2, V3, V4,
% 0.69/1.09 e1( V0, s( V1 ) ), V5 ) ] )
% 0.69/1.09 , clause( 47, [ ~( state( X, Y, Z, T, U, W, s1( V0, V1 ), V2, V3, V4, e1( s(
% 0.69/1.09 V0 ), V1 ), V5 ) ), state( X, Y, Z, T, U, W, s1( s( V0 ), V1 ), V2, V3,
% 0.69/1.09 V4, e1( V0, V1 ), V5 ) ] )
% 0.69/1.09 , clause( 48, [ ~( state( X, Y, Z, T, U, W, s1( s( V0 ), V1 ), V2, V3, V4,
% 0.69/1.09 e1( V0, V1 ), V5 ) ), state( X, Y, Z, T, U, W, s1( V0, V1 ), V2, V3, V4,
% 0.69/1.09 e1( s( V0 ), V1 ), V5 ) ] )
% 0.69/1.09 , clause( 49, [ ~( state( X, Y, Z, T, U, W, V0, s2( V1, V2 ), V3, V4, e1(
% 0.69/1.09 V1, s( V2 ) ), V5 ) ), state( X, Y, Z, T, U, W, V0, s2( V1, s( V2 ) ), V3
% 0.69/1.09 , V4, e1( V1, V2 ), V5 ) ] )
% 0.69/1.09 , clause( 50, [ ~( state( X, Y, Z, T, U, W, V0, s2( V1, s( V2 ) ), V3, V4,
% 0.69/1.09 e1( V1, V2 ), V5 ) ), state( X, Y, Z, T, U, W, V0, s2( V1, V2 ), V3, V4,
% 0.69/1.09 e1( V1, s( V2 ) ), V5 ) ] )
% 0.69/1.09 , clause( 51, [ ~( state( X, Y, Z, T, U, W, V0, s2( V1, V2 ), V3, V4, e1( s(
% 0.69/1.09 V1 ), V2 ), V5 ) ), state( X, Y, Z, T, U, W, V0, s2( s( V1 ), V2 ), V3,
% 0.69/1.09 V4, e1( V1, V2 ), V5 ) ] )
% 0.69/1.09 , clause( 52, [ ~( state( X, Y, Z, T, U, W, V0, s2( s( V1 ), V2 ), V3, V4,
% 0.69/1.09 e1( V1, V2 ), V5 ) ), state( X, Y, Z, T, U, W, V0, s2( V1, V2 ), V3, V4,
% 0.69/1.09 e1( s( V1 ), V2 ), V5 ) ] )
% 0.69/1.09 , clause( 53, [ ~( state( X, Y, Z, T, U, W, V0, V1, s3( V2, V3 ), V4, e1(
% 0.69/1.09 V2, s( V3 ) ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, s3( V2, s( V3 ) )
% 0.69/1.09 , V4, e1( V2, V3 ), V5 ) ] )
% 0.69/1.09 , clause( 54, [ ~( state( X, Y, Z, T, U, W, V0, V1, s3( V2, s( V3 ) ), V4,
% 0.69/1.09 e1( V2, V3 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, s3( V2, V3 ), V4,
% 0.69/1.09 e1( V2, s( V3 ) ), V5 ) ] )
% 0.69/1.09 , clause( 55, [ ~( state( X, Y, Z, T, U, W, V0, V1, s3( V2, V3 ), V4, e1( s(
% 0.69/1.09 V2 ), V3 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, s3( s( V2 ), V3 ),
% 0.69/1.09 V4, e1( V2, V3 ), V5 ) ] )
% 0.69/1.09 , clause( 56, [ ~( state( X, Y, Z, T, U, W, V0, V1, s3( s( V2 ), V3 ), V4,
% 0.69/1.09 e1( V2, V3 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, s3( V2, V3 ), V4,
% 0.69/1.09 e1( s( V2 ), V3 ), V5 ) ] )
% 0.69/1.09 , clause( 57, [ ~( state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, V4 ), e1(
% 0.69/1.09 V3, s( V4 ) ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, s( V4
% 0.69/1.09 ) ), e1( V3, V4 ), V5 ) ] )
% 0.69/1.09 , clause( 58, [ ~( state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, s( V4 ) ),
% 0.69/1.09 e1( V3, V4 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, V4 ),
% 0.69/1.09 e1( V3, s( V4 ) ), V5 ) ] )
% 0.69/1.09 , clause( 59, [ ~( state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, V4 ), e1( s(
% 0.69/1.09 V3 ), V4 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, V2, s4( s( V3 ), V4
% 0.69/1.09 ), e1( V3, V4 ), V5 ) ] )
% 0.69/1.09 , clause( 60, [ ~( state( X, Y, Z, T, U, W, V0, V1, V2, s4( s( V3 ), V4 ),
% 0.69/1.09 e1( V3, V4 ), V5 ) ), state( X, Y, Z, T, U, W, V0, V1, V2, s4( V3, V4 ),
% 0.69/1.09 e1( s( V3 ), V4 ), V5 ) ] )
% 0.69/1.09 , clause( 61, [ ~( state( X, v1( Y, Z ), T, U, W, V0, V1, V2, V3, V4, e1( Y
% 0.69/1.09 , s( Z ) ), e2( s( Y ), s( Z ) ) ) ), state( X, v1( Y, s( Z ) ), T, U, W
% 0.69/1.09 , V0, V1, V2, V3, V4, e1( Y, Z ), e2( s( Y ), Z ) ) ] )
% 0.69/1.09 , clause( 62, [ ~( state( X, v1( Y, s( Z ) ), T, U, W, V0, V1, V2, V3, V4,
% 0.69/1.09 e1( Y, Z ), e2( s( Y ), Z ) ) ), state( X, v1( Y, Z ), T, U, W, V0, V1,
% 0.69/1.09 V2, V3, V4, e1( Y, s( Z ) ), e2( s( Y ), s( Z ) ) ) ] )
% 0.69/1.09 , clause( 63, [ ~( state( X, v1( Y, Z ), T, U, W, V0, V1, V2, V3, V4, e1( s(
% 0.69/1.09 s( Y ) ), Z ), V5 ) ), state( X, v1( s( Y ), Z ), T, U, W, V0, V1, V2, V3
% 0.69/1.09 , V4, e1( Y, Z ), V5 ) ] )
% 0.69/1.09 , clause( 64, [ ~( state( X, v1( s( Y ), Z ), T, U, W, V0, V1, V2, V3, V4,
% 0.69/1.09 e1( Y, Z ), V5 ) ), state( X, v1( Y, Z ), T, U, W, V0, V1, V2, V3, V4, e1(
% 0.69/1.09 s( s( Y ) ), Z ), V5 ) ] )
% 0.69/1.09 , clause( 65, [ ~( state( X, Y, v2( Z, T ), U, W, V0, V1, V2, V3, V4, e1( Z
% 0.69/1.09 , s( T ) ), e2( s( Z ), s( T ) ) ) ), state( X, Y, v2( Z, s( T ) ), U, W
% 0.69/1.09 , V0, V1, V2, V3, V4, e1( Z, T ), e2( s( Z ), T ) ) ] )
% 0.69/1.09 , clause( 66, [ ~( state( X, Y, v2( Z, s( T ) ), U, W, V0, V1, V2, V3, V4,
% 0.69/1.09 e1( Z, T ), e2( s( Z ), T ) ) ), state( X, Y, v2( Z, T ), U, W, V0, V1,
% 0.69/1.09 V2, V3, V4, e1( Z, s( T ) ), e2( s( Z ), s( T ) ) ) ] )
% 0.69/1.09 , clause( 67, [ ~( state( X, Y, v2( Z, T ), U, W, V0, V1, V2, V3, V4, e1( s(
% 0.69/1.09 s( Z ) ), T ), V5 ) ), state( X, Y, v2( s( Z ), T ), U, W, V0, V1, V2, V3
% 0.69/1.09 , V4, e1( Z, T ), V5 ) ] )
% 0.69/1.09 , clause( 68, [ ~( state( X, Y, v2( s( Z ), T ), U, W, V0, V1, V2, V3, V4,
% 0.69/1.09 e1( Z, T ), V5 ) ), state( X, Y, v2( Z, T ), U, W, V0, V1, V2, V3, V4, e1(
% 0.69/1.09 s( s( Z ) ), T ), V5 ) ] )
% 0.69/1.09 , clause( 69, [ ~( state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4, e1( T
% 0.69/1.09 , s( U ) ), e2( s( T ), s( U ) ) ) ), state( X, Y, Z, v3( T, s( U ) ), W
% 0.69/1.09 , V0, V1, V2, V3, V4, e1( T, U ), e2( s( T ), U ) ) ] )
% 0.69/1.09 , clause( 70, [ ~( state( X, Y, Z, v3( T, s( U ) ), W, V0, V1, V2, V3, V4,
% 0.69/1.09 e1( T, U ), e2( s( T ), U ) ) ), state( X, Y, Z, v3( T, U ), W, V0, V1,
% 0.69/1.09 V2, V3, V4, e1( T, s( U ) ), e2( s( T ), s( U ) ) ) ] )
% 0.69/1.09 , clause( 71, [ ~( state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4, e1( s(
% 0.69/1.09 s( T ) ), U ), V5 ) ), state( X, Y, Z, v3( s( T ), U ), W, V0, V1, V2, V3
% 0.69/1.09 , V4, e1( T, U ), V5 ) ] )
% 0.69/1.09 , clause( 72, [ ~( state( X, Y, Z, v3( s( T ), U ), W, V0, V1, V2, V3, V4,
% 0.69/1.09 e1( T, U ), V5 ) ), state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4, e1(
% 0.69/1.09 s( s( T ) ), U ), V5 ) ] )
% 0.69/1.09 , clause( 73, [ ~( state( X, Y, Z, T, v4( U, W ), V0, V1, V2, V3, V4, e1( U
% 0.69/1.09 , s( W ) ), e2( s( U ), s( W ) ) ) ), state( X, Y, Z, T, v4( U, s( W ) )
% 0.69/1.09 , V0, V1, V2, V3, V4, e1( U, W ), e2( s( U ), W ) ) ] )
% 0.69/1.09 , clause( 74, [ ~( state( X, Y, Z, T, v4( U, s( W ) ), V0, V1, V2, V3, V4,
% 0.69/1.09 e1( U, W ), e2( s( U ), W ) ) ), state( X, Y, Z, T, v4( U, W ), V0, V1,
% 0.69/1.09 V2, V3, V4, e1( U, s( W ) ), e2( s( U ), s( W ) ) ) ] )
% 0.69/1.09 , clause( 75, [ ~( state( X, Y, Z, T, v4( U, W ), V0, V1, V2, V3, V4, e1( s(
% 0.69/1.09 s( U ) ), W ), V5 ) ), state( X, Y, Z, T, v4( s( U ), W ), V0, V1, V2, V3
% 0.69/1.09 , V4, e1( U, W ), V5 ) ] )
% 0.69/1.09 , clause( 76, [ ~( state( X, Y, Z, T, v4( s( U ), W ), V0, V1, V2, V3, V4,
% 0.69/1.09 e1( U, W ), V5 ) ), state( X, Y, Z, T, v4( U, W ), V0, V1, V2, V3, V4, e1(
% 0.69/1.09 s( s( U ) ), W ), V5 ) ] )
% 0.69/1.09 , clause( 77, [ ~( state( X, Y, Z, T, U, h( W, V0 ), V1, V2, V3, V4, e1( W
% 0.69/1.09 , s( s( V0 ) ) ), V5 ) ), state( X, Y, Z, T, U, h( W, s( V0 ) ), V1, V2,
% 0.69/1.09 V3, V4, e1( W, V0 ), V5 ) ] )
% 0.69/1.09 , clause( 78, [ ~( state( X, Y, Z, T, U, h( W, s( V0 ) ), V1, V2, V3, V4,
% 0.69/1.09 e1( W, V0 ), V5 ) ), state( X, Y, Z, T, U, h( W, V0 ), V1, V2, V3, V4, e1(
% 0.69/1.09 W, s( s( V0 ) ) ), V5 ) ] )
% 0.69/1.09 , clause( 79, [ ~( state( X, Y, Z, T, U, h( W, V0 ), V1, V2, V3, V4, e1( s(
% 0.69/1.09 W ), V0 ), e2( s( W ), s( V0 ) ) ) ), state( X, Y, Z, T, U, h( s( W ), V0
% 0.69/1.09 ), V1, V2, V3, V4, e1( W, V0 ), e2( W, s( V0 ) ) ) ] )
% 0.69/1.09 , clause( 80, [ ~( state( X, Y, Z, T, U, h( s( W ), V0 ), V1, V2, V3, V4,
% 0.69/1.09 e1( W, V0 ), e2( W, s( V0 ) ) ) ), state( X, Y, Z, T, U, h( W, V0 ), V1,
% 0.69/1.09 V2, V3, V4, e1( s( W ), V0 ), e2( s( W ), s( V0 ) ) ) ] )
% 0.69/1.09 , clause( 81, [ ~( state( bb( X, Y ), Z, T, U, W, V0, V1, V2, V3, V4, e1( X
% 0.69/1.09 , s( s( Y ) ) ), e2( s( X ), s( s( Y ) ) ) ) ), state( bb( X, s( Y ) ), Z
% 0.69/1.09 , T, U, W, V0, V1, V2, V3, V4, e1( X, Y ), e2( s( X ), Y ) ) ] )
% 0.69/1.09 , clause( 82, [ ~( state( bb( X, s( Y ) ), Z, T, U, W, V0, V1, V2, V3, V4,
% 0.69/1.09 e1( X, Y ), e2( s( X ), Y ) ) ), state( bb( X, Y ), Z, T, U, W, V0, V1,
% 0.69/1.09 V2, V3, V4, e1( X, s( s( Y ) ) ), e2( s( X ), s( s( Y ) ) ) ) ] )
% 0.69/1.09 , clause( 83, [ ~( state( bb( X, Y ), Z, T, U, W, V0, V1, V2, V3, V4, e1( s(
% 0.69/1.09 s( X ) ), Y ), e2( s( s( X ) ), s( Y ) ) ) ), state( bb( s( X ), Y ), Z,
% 0.69/1.09 T, U, W, V0, V1, V2, V3, V4, e1( X, Y ), e2( X, s( Y ) ) ) ] )
% 0.69/1.09 , clause( 84, [ ~( state( bb( s( X ), Y ), Z, T, U, W, V0, V1, V2, V3, V4,
% 0.69/1.09 e1( X, Y ), e2( X, s( Y ) ) ) ), state( bb( X, Y ), Z, T, U, W, V0, V1,
% 0.69/1.09 V2, V3, V4, e1( s( s( X ) ), Y ), e2( s( s( X ) ), s( Y ) ) ) ] )
% 0.69/1.09 , clause( 85, [ ~( state( X, Y, Z, T, U, W, V0, V1, V2, V3, e1( V4, V5 ),
% 0.69/1.09 e2( V6, V7 ) ) ), state( X, Y, Z, T, U, W, V0, V1, V2, V3, e1( V6, V7 ),
% 0.69/1.09 e2( V4, V5 ) ) ] )
% 0.69/1.09 , clause( 86, [ state( bb( o, s( o ) ), v1( o, o ), v2( o, s( s( s( o ) ) )
% 0.69/1.09 ), v3( s( s( o ) ), o ), v4( s( s( o ) ), s( s( s( o ) ) ) ), h( s( s( o
% 0.69/1.09 ) ), s( o ) ), s1( s( s( s( o ) ) ), s( o ) ), s2( s( s( s( o ) ) ), s(
% 0.69/1.09 s( o ) ) ), s3( s( s( s( s( o ) ) ) ), s( o ) ), s4( s( s( s( s( o ) ) )
% 0.69/1.09 ), s( s( o ) ) ), e1( s( s( s( s( o ) ) ) ), o ), e2( s( s( s( s( o ) )
% 0.69/1.09 ) ), s( s( s( o ) ) ) ) ) ] )
% 0.69/1.09 , clause( 87, [ ~( state( X, Y, Z, v3( s( s( s( o ) ) ), o ), T, U, W, V0,
% 0.69/1.09 V1, V2, V3, V4 ) ) ] )
% 0.69/1.09 ] ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 26, [ state( X, Y, Z, v3( s( T ), U ), W, V0, V1, V2, V3, V4, e1( T
% 0.69/1.09 , U ), V5 ), ~( state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4, e1( s(
% 0.69/1.09 s( T ) ), U ), V5 ) ) ] )
% 0.69/1.09 , clause( 71, [ ~( state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4, e1( s(
% 0.69/1.09 s( T ) ), U ), V5 ) ), state( X, Y, Z, v3( s( T ), U ), W, V0, V1, V2, V3
% 0.69/1.09 , V4, e1( T, U ), V5 ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.69/1.09 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 ), :=( V2, V2 ), :=( V3, V3 )
% 0.69/1.09 , :=( V4, V4 ), :=( V5, V5 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 41, [ state( bb( o, s( o ) ), v1( o, o ), v2( o, s( s( s( o ) ) ) )
% 0.69/1.09 , v3( s( s( o ) ), o ), v4( s( s( o ) ), s( s( s( o ) ) ) ), h( s( s( o )
% 0.69/1.09 ), s( o ) ), s1( s( s( s( o ) ) ), s( o ) ), s2( s( s( s( o ) ) ), s( s(
% 0.69/1.09 o ) ) ), s3( s( s( s( s( o ) ) ) ), s( o ) ), s4( s( s( s( s( o ) ) ) ),
% 0.69/1.09 s( s( o ) ) ), e1( s( s( s( s( o ) ) ) ), o ), e2( s( s( s( s( o ) ) ) )
% 0.69/1.09 , s( s( s( o ) ) ) ) ) ] )
% 0.69/1.09 , clause( 86, [ state( bb( o, s( o ) ), v1( o, o ), v2( o, s( s( s( o ) ) )
% 0.69/1.09 ), v3( s( s( o ) ), o ), v4( s( s( o ) ), s( s( s( o ) ) ) ), h( s( s( o
% 0.69/1.09 ) ), s( o ) ), s1( s( s( s( o ) ) ), s( o ) ), s2( s( s( s( o ) ) ), s(
% 0.69/1.09 s( o ) ) ), s3( s( s( s( s( o ) ) ) ), s( o ) ), s4( s( s( s( s( o ) ) )
% 0.69/1.09 ), s( s( o ) ) ), e1( s( s( s( s( o ) ) ) ), o ), e2( s( s( s( s( o ) )
% 0.69/1.09 ) ), s( s( s( o ) ) ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 42, [ ~( state( X, Y, Z, v3( s( s( s( o ) ) ), o ), T, U, W, V0, V1
% 0.69/1.09 , V2, V3, V4 ) ) ] )
% 0.69/1.09 , clause( 87, [ ~( state( X, Y, Z, v3( s( s( s( o ) ) ), o ), T, U, W, V0,
% 0.69/1.09 V1, V2, V3, V4 ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.69/1.09 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 ), :=( V2, V2 ), :=( V3, V3 )
% 0.69/1.09 , :=( V4, V4 )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 88, [ state( bb( o, s( o ) ), v1( o, o ), v2( o, s( s( s( o ) ) ) )
% 0.69/1.09 , v3( s( s( s( o ) ) ), o ), v4( s( s( o ) ), s( s( s( o ) ) ) ), h( s( s(
% 0.69/1.09 o ) ), s( o ) ), s1( s( s( s( o ) ) ), s( o ) ), s2( s( s( s( o ) ) ), s(
% 0.69/1.09 s( o ) ) ), s3( s( s( s( s( o ) ) ) ), s( o ) ), s4( s( s( s( s( o ) ) )
% 0.69/1.09 ), s( s( o ) ) ), e1( s( s( o ) ), o ), e2( s( s( s( s( o ) ) ) ), s( s(
% 0.69/1.09 s( o ) ) ) ) ) ] )
% 0.69/1.09 , clause( 26, [ state( X, Y, Z, v3( s( T ), U ), W, V0, V1, V2, V3, V4, e1(
% 0.69/1.09 T, U ), V5 ), ~( state( X, Y, Z, v3( T, U ), W, V0, V1, V2, V3, V4, e1( s(
% 0.69/1.09 s( T ) ), U ), V5 ) ) ] )
% 0.69/1.09 , 1, clause( 41, [ state( bb( o, s( o ) ), v1( o, o ), v2( o, s( s( s( o )
% 0.69/1.09 ) ) ), v3( s( s( o ) ), o ), v4( s( s( o ) ), s( s( s( o ) ) ) ), h( s(
% 0.69/1.09 s( o ) ), s( o ) ), s1( s( s( s( o ) ) ), s( o ) ), s2( s( s( s( o ) ) )
% 0.69/1.09 , s( s( o ) ) ), s3( s( s( s( s( o ) ) ) ), s( o ) ), s4( s( s( s( s( o )
% 0.69/1.09 ) ) ), s( s( o ) ) ), e1( s( s( s( s( o ) ) ) ), o ), e2( s( s( s( s( o
% 0.69/1.09 ) ) ) ), s( s( s( o ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, bb( o, s( o ) ) ), :=( Y, v1( o, o ) ), :=(
% 0.69/1.09 Z, v2( o, s( s( s( o ) ) ) ) ), :=( T, s( s( o ) ) ), :=( U, o ), :=( W,
% 0.69/1.09 v4( s( s( o ) ), s( s( s( o ) ) ) ) ), :=( V0, h( s( s( o ) ), s( o ) ) )
% 0.69/1.09 , :=( V1, s1( s( s( s( o ) ) ), s( o ) ) ), :=( V2, s2( s( s( s( o ) ) )
% 0.69/1.09 , s( s( o ) ) ) ), :=( V3, s3( s( s( s( s( o ) ) ) ), s( o ) ) ), :=( V4
% 0.69/1.09 , s4( s( s( s( s( o ) ) ) ), s( s( o ) ) ) ), :=( V5, e2( s( s( s( s( o )
% 0.69/1.09 ) ) ), s( s( s( o ) ) ) ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 89, [] )
% 0.69/1.09 , clause( 42, [ ~( state( X, Y, Z, v3( s( s( s( o ) ) ), o ), T, U, W, V0,
% 0.69/1.09 V1, V2, V3, V4 ) ) ] )
% 0.69/1.09 , 0, clause( 88, [ state( bb( o, s( o ) ), v1( o, o ), v2( o, s( s( s( o )
% 0.69/1.09 ) ) ), v3( s( s( s( o ) ) ), o ), v4( s( s( o ) ), s( s( s( o ) ) ) ), h(
% 0.69/1.09 s( s( o ) ), s( o ) ), s1( s( s( s( o ) ) ), s( o ) ), s2( s( s( s( o ) )
% 0.69/1.09 ), s( s( o ) ) ), s3( s( s( s( s( o ) ) ) ), s( o ) ), s4( s( s( s( s( o
% 0.69/1.09 ) ) ) ), s( s( o ) ) ), e1( s( s( o ) ), o ), e2( s( s( s( s( o ) ) ) )
% 0.69/1.09 , s( s( s( o ) ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, bb( o, s( o ) ) ), :=( Y, v1( o, o ) ), :=(
% 0.69/1.09 Z, v2( o, s( s( s( o ) ) ) ) ), :=( T, v4( s( s( o ) ), s( s( s( o ) ) )
% 0.69/1.09 ) ), :=( U, h( s( s( o ) ), s( o ) ) ), :=( W, s1( s( s( s( o ) ) ), s(
% 0.69/1.09 o ) ) ), :=( V0, s2( s( s( s( o ) ) ), s( s( o ) ) ) ), :=( V1, s3( s( s(
% 0.69/1.09 s( s( o ) ) ) ), s( o ) ) ), :=( V2, s4( s( s( s( s( o ) ) ) ), s( s( o )
% 0.69/1.09 ) ) ), :=( V3, e1( s( s( o ) ), o ) ), :=( V4, e2( s( s( s( s( o ) ) ) )
% 0.69/1.09 , s( s( s( o ) ) ) ) )] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 43, [] )
% 0.69/1.09 , clause( 89, [] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 end.
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 Memory use:
% 0.69/1.09
% 0.69/1.09 space for terms: 5457
% 0.69/1.09 space for clauses: 9237
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 clauses generated: 44
% 0.69/1.09 clauses kept: 44
% 0.69/1.09 clauses selected: 43
% 0.69/1.09 clauses deleted: 0
% 0.69/1.09 clauses inuse deleted: 0
% 0.69/1.09
% 0.69/1.09 subsentry: 14
% 0.69/1.09 literals s-matched: 14
% 0.69/1.09 literals matched: 14
% 0.69/1.09 full subsumption: 0
% 0.69/1.09
% 0.69/1.09 checksum: -214670337
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksem ended
%------------------------------------------------------------------------------