TSTP Solution File: SYN313-1.001.002 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN313-1.001.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 02:49:27 EDT 2022
% Result : Unsatisfiable 0.74s 1.11s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN313-1.001.002 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jul 12 05:15:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.74/1.11 *** allocated 10000 integers for termspace/termends
% 0.74/1.11 *** allocated 10000 integers for clauses
% 0.74/1.11 *** allocated 10000 integers for justifications
% 0.74/1.11 Bliksem 1.12
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Automatic Strategy Selection
% 0.74/1.11
% 0.74/1.11 Clauses:
% 0.74/1.11 [
% 0.74/1.11 [ ~( p( X, f0( X ), Y ) ), ~( p( X, f1( Y ), Z ) ) ],
% 0.74/1.11 [ p( h0, X, j0( Y ) ), p( h1( X ), Z, j1( Y ) ), p( h2( Z ), Y, j2( Y )
% 0.74/1.11 ) ]
% 0.74/1.11 ] .
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 percentage equality = 0.000000, percentage horn = 0.500000
% 0.74/1.11 This a non-horn, non-equality problem
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Options Used:
% 0.74/1.11
% 0.74/1.11 useres = 1
% 0.74/1.11 useparamod = 0
% 0.74/1.11 useeqrefl = 0
% 0.74/1.11 useeqfact = 0
% 0.74/1.11 usefactor = 1
% 0.74/1.11 usesimpsplitting = 0
% 0.74/1.11 usesimpdemod = 0
% 0.74/1.11 usesimpres = 3
% 0.74/1.11
% 0.74/1.11 resimpinuse = 1000
% 0.74/1.11 resimpclauses = 20000
% 0.74/1.11 substype = standard
% 0.74/1.11 backwardsubs = 1
% 0.74/1.11 selectoldest = 5
% 0.74/1.11
% 0.74/1.11 litorderings [0] = split
% 0.74/1.11 litorderings [1] = liftord
% 0.74/1.11
% 0.74/1.11 termordering = none
% 0.74/1.11
% 0.74/1.11 litapriori = 1
% 0.74/1.11 termapriori = 0
% 0.74/1.11 litaposteriori = 0
% 0.74/1.11 termaposteriori = 0
% 0.74/1.11 demodaposteriori = 0
% 0.74/1.11 ordereqreflfact = 0
% 0.74/1.11
% 0.74/1.11 litselect = none
% 0.74/1.11
% 0.74/1.11 maxweight = 15
% 0.74/1.11 maxdepth = 30000
% 0.74/1.11 maxlength = 115
% 0.74/1.11 maxnrvars = 195
% 0.74/1.11 excuselevel = 1
% 0.74/1.11 increasemaxweight = 1
% 0.74/1.11
% 0.74/1.11 maxselected = 10000000
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11
% 0.74/1.11 showgenerated = 0
% 0.74/1.11 showkept = 0
% 0.74/1.11 showselected = 0
% 0.74/1.11 showdeleted = 0
% 0.74/1.11 showresimp = 1
% 0.74/1.11 showstatus = 2000
% 0.74/1.11
% 0.74/1.11 prologoutput = 1
% 0.74/1.11 nrgoals = 5000000
% 0.74/1.11 totalproof = 1
% 0.74/1.11
% 0.74/1.11 Symbols occurring in the translation:
% 0.74/1.11
% 0.74/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.11 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.11 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.74/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.11 f0 [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.11 p [42, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.74/1.11 f1 [43, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.74/1.11 h0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.74/1.11 j0 [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.74/1.11 h1 [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.74/1.11 j1 [51, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.74/1.11 h2 [52, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.11 j2 [53, 1] (w:1, o:27, a:1, s:1, b:0).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 15
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 10
% 0.74/1.11 Kept: 4
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 16
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 16
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 10
% 0.74/1.11 Kept: 4
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 17
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 17
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 10
% 0.74/1.11 Kept: 4
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 18
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 18
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 10
% 0.74/1.11 Kept: 4
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 19
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 19
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 10
% 0.74/1.11 Kept: 4
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 20
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 20
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 10
% 0.74/1.11 Kept: 4
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 21
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 21
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 10
% 0.74/1.11 Kept: 4
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 22
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 22
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 15
% 0.74/1.11 Kept: 5
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 23
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 23
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 19
% 0.74/1.11 Kept: 6
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 24
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 24
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 19
% 0.74/1.11 Kept: 6
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 25
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 25
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 30
% 0.74/1.11 Kept: 8
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 26
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 26
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 43
% 0.74/1.11 Kept: 10
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 27
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 27
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 49
% 0.74/1.11 Kept: 11
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 28
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 28
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 49
% 0.74/1.11 Kept: 11
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 29
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 29
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 61
% 0.74/1.11 Kept: 13
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 30
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 30
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 61
% 0.74/1.11 Kept: 13
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 31
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11 Resimplifying inuse:
% 0.74/1.11 Done
% 0.74/1.11
% 0.74/1.11 Failed to find proof!
% 0.74/1.11 maxweight = 31
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11 Generated: 66
% 0.74/1.11 Kept: 14
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 The strategy used was not complete!
% 0.74/1.11
% 0.74/1.11 Increased maxweight to 32
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Bliksems!, er is een bewijs:
% 0.74/1.11 % SZS status Unsatisfiable
% 0.74/1.11 % SZS output start Refutation
% 0.74/1.11
% 0.74/1.11 clause( 0, [ ~( p( X, f1( Y ), Z ) ), ~( p( X, f0( X ), Y ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 1, [ p( h0, X, j0( Y ) ), p( h1( X ), Z, j1( Y ) ), p( h2( Z ), Y,
% 0.74/1.11 j2( Y ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 2, [ p( h0, X, j0( f1( Y ) ) ), ~( p( h2( Z ), f0( h2( Z ) ), Y ) )
% 0.74/1.11 , p( h1( X ), Z, j1( f1( Y ) ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 4, [ ~( p( h2( f1( Z ) ), f0( h2( f1( Z ) ) ), Y ) ), ~( p( h1( X )
% 0.74/1.11 , f0( h1( X ) ), Z ) ), p( h0, X, j0( f1( Y ) ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 6, [ ~( p( h1( f1( Z ) ), f0( h1( f1( Z ) ) ), X ) ), ~( p( h0, f0(
% 0.74/1.11 h0 ), Z ) ), ~( p( h2( f1( X ) ), f0( h2( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 9, [ p( h0, Z, j0( f0( h2( f1( Y ) ) ) ) ), p( h1( Z ), f1( Y ), j1(
% 0.74/1.11 f0( h2( f1( Y ) ) ) ) ), ~( p( h0, f0( h0 ), X ) ), ~( p( h1( f1( X ) ),
% 0.74/1.11 f0( h1( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 15, [ ~( p( h0, f0( h0 ), Z ) ), ~( p( h1( f1( Z ) ), f0( h1( f1( Z
% 0.74/1.11 ) ) ), Y ) ), ~( p( h1( X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f0( h2(
% 0.74/1.11 f1( Y ) ) ) ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 16, [ ~( p( h1( f1( X ) ), f0( h1( f1( X ) ) ), Y ) ), ~( p( h0, f0(
% 0.74/1.11 h0 ), X ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 19, [ ~( p( h2( f0( h1( f1( X ) ) ) ), f0( h2( f0( h1( f1( X ) ) )
% 0.74/1.11 ) ), Y ) ), ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 20, [ p( h0, Y, j0( f0( h2( f0( h1( f1( X ) ) ) ) ) ) ), p( h1( Y )
% 0.74/1.11 , f0( h1( f1( X ) ) ), j1( f0( h2( f0( h1( f1( X ) ) ) ) ) ) ), ~( p( h0
% 0.74/1.11 , f0( h0 ), X ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 21, [ ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 24, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ), ~( p( h2(
% 0.74/1.11 f1( X ) ), f0( h2( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 26, [ p( h0, Y, j0( f0( h2( f1( X ) ) ) ) ), p( h1( Y ), f1( X ),
% 0.74/1.11 j1( f0( h2( f1( X ) ) ) ) ), ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ),
% 0.74/1.11 X ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 30, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), Y ) ), ~( p( h1(
% 0.74/1.11 X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f0( h2( f1( Y ) ) ) ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 31, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 33, [ ~( p( h2( f0( h1( f0( h0 ) ) ) ), f0( h2( f0( h1( f0( h0 ) )
% 0.74/1.11 ) ) ), X ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 34, [ p( h0, X, j0( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ), p( h1( X
% 0.74/1.11 ), f0( h1( f0( h0 ) ) ), j1( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 36, [] )
% 0.74/1.11 .
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 % SZS output end Refutation
% 0.74/1.11 found a proof!
% 0.74/1.11
% 0.74/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.11
% 0.74/1.11 initialclauses(
% 0.74/1.11 [ clause( 38, [ ~( p( X, f0( X ), Y ) ), ~( p( X, f1( Y ), Z ) ) ] )
% 0.74/1.11 , clause( 39, [ p( h0, X, j0( Y ) ), p( h1( X ), Z, j1( Y ) ), p( h2( Z ),
% 0.74/1.11 Y, j2( Y ) ) ] )
% 0.74/1.11 ] ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 0, [ ~( p( X, f1( Y ), Z ) ), ~( p( X, f0( X ), Y ) ) ] )
% 0.74/1.11 , clause( 38, [ ~( p( X, f0( X ), Y ) ), ~( p( X, f1( Y ), Z ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 1, [ p( h0, X, j0( Y ) ), p( h1( X ), Z, j1( Y ) ), p( h2( Z ), Y,
% 0.74/1.11 j2( Y ) ) ] )
% 0.74/1.11 , clause( 39, [ p( h0, X, j0( Y ) ), p( h1( X ), Z, j1( Y ) ), p( h2( Z ),
% 0.74/1.11 Y, j2( Y ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 42, [ ~( p( h2( X ), f0( h2( X ) ), Y ) ), p( h0, Z, j0( f1( Y ) )
% 0.74/1.11 ), p( h1( Z ), X, j1( f1( Y ) ) ) ] )
% 0.74/1.11 , clause( 0, [ ~( p( X, f1( Y ), Z ) ), ~( p( X, f0( X ), Y ) ) ] )
% 0.74/1.11 , 0, clause( 1, [ p( h0, X, j0( Y ) ), p( h1( X ), Z, j1( Y ) ), p( h2( Z )
% 0.74/1.11 , Y, j2( Y ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, h2( X ) ), :=( Y, Y ), :=( Z, j2( f1( Y ) )
% 0.74/1.11 )] ), substitution( 1, [ :=( X, Z ), :=( Y, f1( Y ) ), :=( Z, X )] )
% 0.74/1.11 ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 2, [ p( h0, X, j0( f1( Y ) ) ), ~( p( h2( Z ), f0( h2( Z ) ), Y ) )
% 0.74/1.11 , p( h1( X ), Z, j1( f1( Y ) ) ) ] )
% 0.74/1.11 , clause( 42, [ ~( p( h2( X ), f0( h2( X ) ), Y ) ), p( h0, Z, j0( f1( Y )
% 0.74/1.11 ) ), p( h1( Z ), X, j1( f1( Y ) ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.74/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 47, [ ~( p( h1( X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f1( Z ) )
% 0.74/1.11 ), ~( p( h2( f1( Y ) ), f0( h2( f1( Y ) ) ), Z ) ) ] )
% 0.74/1.11 , clause( 0, [ ~( p( X, f1( Y ), Z ) ), ~( p( X, f0( X ), Y ) ) ] )
% 0.74/1.11 , 0, clause( 2, [ p( h0, X, j0( f1( Y ) ) ), ~( p( h2( Z ), f0( h2( Z ) ),
% 0.74/1.11 Y ) ), p( h1( X ), Z, j1( f1( Y ) ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, h1( X ) ), :=( Y, Y ), :=( Z, j1( f1( Z ) )
% 0.74/1.11 )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, f1( Y ) )] )
% 0.74/1.11 ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 4, [ ~( p( h2( f1( Z ) ), f0( h2( f1( Z ) ) ), Y ) ), ~( p( h1( X )
% 0.74/1.11 , f0( h1( X ) ), Z ) ), p( h0, X, j0( f1( Y ) ) ) ] )
% 0.74/1.11 , clause( 47, [ ~( p( h1( X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f1( Z )
% 0.74/1.11 ) ), ~( p( h2( f1( Y ) ), f0( h2( f1( Y ) ) ), Z ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.74/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 50, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h2( f1( Z ) ), f0( h2( f1( Z
% 0.74/1.11 ) ) ), Y ) ), ~( p( h1( f1( X ) ), f0( h1( f1( X ) ) ), Z ) ) ] )
% 0.74/1.11 , clause( 0, [ ~( p( X, f1( Y ), Z ) ), ~( p( X, f0( X ), Y ) ) ] )
% 0.74/1.11 , 0, clause( 4, [ ~( p( h2( f1( Z ) ), f0( h2( f1( Z ) ) ), Y ) ), ~( p( h1(
% 0.74/1.11 X ), f0( h1( X ) ), Z ) ), p( h0, X, j0( f1( Y ) ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, h0 ), :=( Y, X ), :=( Z, j0( f1( Y ) ) )] )
% 0.74/1.11 , substitution( 1, [ :=( X, f1( X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 6, [ ~( p( h1( f1( Z ) ), f0( h1( f1( Z ) ) ), X ) ), ~( p( h0, f0(
% 0.74/1.11 h0 ), Z ) ), ~( p( h2( f1( X ) ), f0( h2( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 , clause( 50, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h2( f1( Z ) ), f0( h2( f1(
% 0.74/1.11 Z ) ) ), Y ) ), ~( p( h1( f1( X ) ), f0( h1( f1( X ) ) ), Z ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.74/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 54, [ ~( p( h1( f1( X ) ), f0( h1( f1( X ) ) ), Y ) ), ~( p( h0, f0(
% 0.74/1.11 h0 ), X ) ), p( h0, Z, j0( f0( h2( f1( Y ) ) ) ) ), p( h1( Z ), f1( Y ),
% 0.74/1.11 j1( f0( h2( f1( Y ) ) ) ) ) ] )
% 0.74/1.11 , clause( 6, [ ~( p( h1( f1( Z ) ), f0( h1( f1( Z ) ) ), X ) ), ~( p( h0,
% 0.74/1.11 f0( h0 ), Z ) ), ~( p( h2( f1( X ) ), f0( h2( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 , 2, clause( 1, [ p( h0, X, j0( Y ) ), p( h1( X ), Z, j1( Y ) ), p( h2( Z )
% 0.74/1.11 , Y, j2( Y ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, Y ), :=( Y, j2( f0( h2( f1( Y ) ) ) ) ),
% 0.74/1.11 :=( Z, X )] ), substitution( 1, [ :=( X, Z ), :=( Y, f0( h2( f1( Y ) ) )
% 0.74/1.11 ), :=( Z, f1( Y ) )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 9, [ p( h0, Z, j0( f0( h2( f1( Y ) ) ) ) ), p( h1( Z ), f1( Y ), j1(
% 0.74/1.11 f0( h2( f1( Y ) ) ) ) ), ~( p( h0, f0( h0 ), X ) ), ~( p( h1( f1( X ) ),
% 0.74/1.11 f0( h1( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 , clause( 54, [ ~( p( h1( f1( X ) ), f0( h1( f1( X ) ) ), Y ) ), ~( p( h0,
% 0.74/1.11 f0( h0 ), X ) ), p( h0, Z, j0( f0( h2( f1( Y ) ) ) ) ), p( h1( Z ), f1( Y
% 0.74/1.11 ), j1( f0( h2( f1( Y ) ) ) ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.11 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 1 )] )
% 0.74/1.11 ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 56, [ ~( p( h1( X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f0( h2( f1(
% 0.74/1.11 Y ) ) ) ) ), ~( p( h0, f0( h0 ), Z ) ), ~( p( h1( f1( Z ) ), f0( h1( f1(
% 0.74/1.11 Z ) ) ), Y ) ) ] )
% 0.74/1.11 , clause( 0, [ ~( p( X, f1( Y ), Z ) ), ~( p( X, f0( X ), Y ) ) ] )
% 0.74/1.11 , 0, clause( 9, [ p( h0, Z, j0( f0( h2( f1( Y ) ) ) ) ), p( h1( Z ), f1( Y
% 0.74/1.11 ), j1( f0( h2( f1( Y ) ) ) ) ), ~( p( h0, f0( h0 ), X ) ), ~( p( h1( f1(
% 0.74/1.11 X ) ), f0( h1( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 , 1, substitution( 0, [ :=( X, h1( X ) ), :=( Y, Y ), :=( Z, j1( f0( h2( f1(
% 0.74/1.11 Y ) ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )
% 0.74/1.11 ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 15, [ ~( p( h0, f0( h0 ), Z ) ), ~( p( h1( f1( Z ) ), f0( h1( f1( Z
% 0.74/1.11 ) ) ), Y ) ), ~( p( h1( X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f0( h2(
% 0.74/1.11 f1( Y ) ) ) ) ) ] )
% 0.74/1.11 , clause( 56, [ ~( p( h1( X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f0( h2(
% 0.74/1.11 f1( Y ) ) ) ) ), ~( p( h0, f0( h0 ), Z ) ), ~( p( h1( f1( Z ) ), f0( h1(
% 0.74/1.11 f1( Z ) ) ), Y ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.11 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 1 )] )
% 0.74/1.11 ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 factor(
% 0.74/1.11 clause( 60, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h1( f1( X ) ), f0( h1( f1( X
% 0.74/1.11 ) ) ), Y ) ), p( h0, f1( X ), j0( f0( h2( f1( Y ) ) ) ) ) ] )
% 0.74/1.11 , clause( 15, [ ~( p( h0, f0( h0 ), Z ) ), ~( p( h1( f1( Z ) ), f0( h1( f1(
% 0.74/1.11 Z ) ) ), Y ) ), ~( p( h1( X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f0( h2(
% 0.74/1.11 f1( Y ) ) ) ) ) ] )
% 0.74/1.11 , 1, 2, substitution( 0, [ :=( X, f1( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 61, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h0, f0( h0 ), X ) ), ~( p(
% 0.74/1.11 h1( f1( X ) ), f0( h1( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 , clause( 0, [ ~( p( X, f1( Y ), Z ) ), ~( p( X, f0( X ), Y ) ) ] )
% 0.74/1.11 , 0, clause( 60, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h1( f1( X ) ), f0( h1(
% 0.74/1.11 f1( X ) ) ), Y ) ), p( h0, f1( X ), j0( f0( h2( f1( Y ) ) ) ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, h0 ), :=( Y, X ), :=( Z, j0( f0( h2( f1( Y )
% 0.74/1.11 ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 factor(
% 0.74/1.11 clause( 62, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h1( f1( X ) ), f0( h1( f1( X
% 0.74/1.11 ) ) ), Y ) ) ] )
% 0.74/1.11 , clause( 61, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h0, f0( h0 ), X ) ), ~( p(
% 0.74/1.11 h1( f1( X ) ), f0( h1( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 16, [ ~( p( h1( f1( X ) ), f0( h1( f1( X ) ) ), Y ) ), ~( p( h0, f0(
% 0.74/1.11 h0 ), X ) ) ] )
% 0.74/1.11 , clause( 62, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h1( f1( X ) ), f0( h1( f1(
% 0.74/1.11 X ) ) ), Y ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.11 ), ==>( 1, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 63, [ ~( p( h0, f0( h0 ), X ) ), p( h0, f1( X ), j0( f1( Y ) ) ),
% 0.74/1.11 ~( p( h2( f0( h1( f1( X ) ) ) ), f0( h2( f0( h1( f1( X ) ) ) ) ), Y ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , clause( 16, [ ~( p( h1( f1( X ) ), f0( h1( f1( X ) ) ), Y ) ), ~( p( h0,
% 0.74/1.11 f0( h0 ), X ) ) ] )
% 0.74/1.11 , 0, clause( 2, [ p( h0, X, j0( f1( Y ) ) ), ~( p( h2( Z ), f0( h2( Z ) ),
% 0.74/1.11 Y ) ), p( h1( X ), Z, j1( f1( Y ) ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, X ), :=( Y, j1( f1( Y ) ) )] ),
% 0.74/1.11 substitution( 1, [ :=( X, f1( X ) ), :=( Y, Y ), :=( Z, f0( h1( f1( X ) )
% 0.74/1.11 ) )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 65, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h0, f0( h0 ), X ) ), ~( p(
% 0.74/1.11 h2( f0( h1( f1( X ) ) ) ), f0( h2( f0( h1( f1( X ) ) ) ) ), Y ) ) ] )
% 0.74/1.11 , clause( 0, [ ~( p( X, f1( Y ), Z ) ), ~( p( X, f0( X ), Y ) ) ] )
% 0.74/1.11 , 0, clause( 63, [ ~( p( h0, f0( h0 ), X ) ), p( h0, f1( X ), j0( f1( Y ) )
% 0.74/1.11 ), ~( p( h2( f0( h1( f1( X ) ) ) ), f0( h2( f0( h1( f1( X ) ) ) ) ), Y )
% 0.74/1.11 ) ] )
% 0.74/1.11 , 1, substitution( 0, [ :=( X, h0 ), :=( Y, X ), :=( Z, j0( f1( Y ) ) )] )
% 0.74/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 factor(
% 0.74/1.11 clause( 66, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h2( f0( h1( f1( X ) ) ) ),
% 0.74/1.11 f0( h2( f0( h1( f1( X ) ) ) ) ), Y ) ) ] )
% 0.74/1.11 , clause( 65, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h0, f0( h0 ), X ) ), ~( p(
% 0.74/1.11 h2( f0( h1( f1( X ) ) ) ), f0( h2( f0( h1( f1( X ) ) ) ) ), Y ) ) ] )
% 0.74/1.11 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 19, [ ~( p( h2( f0( h1( f1( X ) ) ) ), f0( h2( f0( h1( f1( X ) ) )
% 0.74/1.11 ) ), Y ) ), ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , clause( 66, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h2( f0( h1( f1( X ) ) ) )
% 0.74/1.11 , f0( h2( f0( h1( f1( X ) ) ) ) ), Y ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.11 ), ==>( 1, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 67, [ ~( p( h0, f0( h0 ), X ) ), p( h0, Y, j0( f0( h2( f0( h1( f1(
% 0.74/1.11 X ) ) ) ) ) ) ), p( h1( Y ), f0( h1( f1( X ) ) ), j1( f0( h2( f0( h1( f1(
% 0.74/1.11 X ) ) ) ) ) ) ) ] )
% 0.74/1.11 , clause( 19, [ ~( p( h2( f0( h1( f1( X ) ) ) ), f0( h2( f0( h1( f1( X ) )
% 0.74/1.11 ) ) ), Y ) ), ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , 0, clause( 1, [ p( h0, X, j0( Y ) ), p( h1( X ), Z, j1( Y ) ), p( h2( Z )
% 0.74/1.11 , Y, j2( Y ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, X ), :=( Y, j2( f0( h2( f0( h1( f1( X ) ) )
% 0.74/1.11 ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, f0( h2( f0( h1( f1( X
% 0.74/1.11 ) ) ) ) ) ), :=( Z, f0( h1( f1( X ) ) ) )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 20, [ p( h0, Y, j0( f0( h2( f0( h1( f1( X ) ) ) ) ) ) ), p( h1( Y )
% 0.74/1.11 , f0( h1( f1( X ) ) ), j1( f0( h2( f0( h1( f1( X ) ) ) ) ) ) ), ~( p( h0
% 0.74/1.11 , f0( h0 ), X ) ) ] )
% 0.74/1.11 , clause( 67, [ ~( p( h0, f0( h0 ), X ) ), p( h0, Y, j0( f0( h2( f0( h1( f1(
% 0.74/1.11 X ) ) ) ) ) ) ), p( h1( Y ), f0( h1( f1( X ) ) ), j1( f0( h2( f0( h1( f1(
% 0.74/1.11 X ) ) ) ) ) ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.74/1.11 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 69, [ ~( p( h0, f0( h0 ), X ) ), p( h0, f1( X ), j0( f0( h2( f0( h1(
% 0.74/1.11 f1( X ) ) ) ) ) ) ), ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , clause( 16, [ ~( p( h1( f1( X ) ), f0( h1( f1( X ) ) ), Y ) ), ~( p( h0,
% 0.74/1.11 f0( h0 ), X ) ) ] )
% 0.74/1.11 , 0, clause( 20, [ p( h0, Y, j0( f0( h2( f0( h1( f1( X ) ) ) ) ) ) ), p( h1(
% 0.74/1.11 Y ), f0( h1( f1( X ) ) ), j1( f0( h2( f0( h1( f1( X ) ) ) ) ) ) ), ~( p(
% 0.74/1.11 h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , 1, substitution( 0, [ :=( X, X ), :=( Y, j1( f0( h2( f0( h1( f1( X ) ) )
% 0.74/1.11 ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, f1( X ) )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 72, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h0, f0( h0 ), X ) ), ~( p(
% 0.74/1.11 h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , clause( 0, [ ~( p( X, f1( Y ), Z ) ), ~( p( X, f0( X ), Y ) ) ] )
% 0.74/1.11 , 0, clause( 69, [ ~( p( h0, f0( h0 ), X ) ), p( h0, f1( X ), j0( f0( h2(
% 0.74/1.11 f0( h1( f1( X ) ) ) ) ) ) ), ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , 1, substitution( 0, [ :=( X, h0 ), :=( Y, X ), :=( Z, j0( f0( h2( f0( h1(
% 0.74/1.11 f1( X ) ) ) ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 factor(
% 0.74/1.11 clause( 73, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , clause( 72, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h0, f0( h0 ), X ) ), ~( p(
% 0.74/1.11 h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 factor(
% 0.74/1.11 clause( 74, [ ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , clause( 73, [ ~( p( h0, f0( h0 ), X ) ), ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 21, [ ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , clause( 74, [ ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 75, [ ~( p( h2( f1( Y ) ), f0( h2( f1( Y ) ) ), X ) ), ~( p( h1( f0(
% 0.74/1.11 h0 ) ), f0( h1( f0( h0 ) ) ), Y ) ) ] )
% 0.74/1.11 , clause( 21, [ ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , 0, clause( 4, [ ~( p( h2( f1( Z ) ), f0( h2( f1( Z ) ) ), Y ) ), ~( p( h1(
% 0.74/1.11 X ), f0( h1( X ) ), Z ) ), p( h0, X, j0( f1( Y ) ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, j0( f1( X ) ) )] ), substitution( 1, [ :=( X
% 0.74/1.11 , f0( h0 ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 24, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ), ~( p( h2(
% 0.74/1.11 f1( X ) ), f0( h2( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 , clause( 75, [ ~( p( h2( f1( Y ) ), f0( h2( f1( Y ) ) ), X ) ), ~( p( h1(
% 0.74/1.11 f0( h0 ) ), f0( h1( f0( h0 ) ) ), Y ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.11 ), ==>( 1, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 77, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ), p( h0, Y,
% 0.74/1.11 j0( f0( h2( f1( X ) ) ) ) ), p( h1( Y ), f1( X ), j1( f0( h2( f1( X ) ) )
% 0.74/1.11 ) ) ] )
% 0.74/1.11 , clause( 24, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ), ~( p( h2(
% 0.74/1.11 f1( X ) ), f0( h2( f1( X ) ) ), Y ) ) ] )
% 0.74/1.11 , 1, clause( 1, [ p( h0, X, j0( Y ) ), p( h1( X ), Z, j1( Y ) ), p( h2( Z )
% 0.74/1.11 , Y, j2( Y ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, X ), :=( Y, j2( f0( h2( f1( X ) ) ) ) )] ),
% 0.74/1.11 substitution( 1, [ :=( X, Y ), :=( Y, f0( h2( f1( X ) ) ) ), :=( Z, f1( X
% 0.74/1.11 ) )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 26, [ p( h0, Y, j0( f0( h2( f1( X ) ) ) ) ), p( h1( Y ), f1( X ),
% 0.74/1.11 j1( f0( h2( f1( X ) ) ) ) ), ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ),
% 0.74/1.11 X ) ) ] )
% 0.74/1.11 , clause( 77, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ), p( h0, Y
% 0.74/1.11 , j0( f0( h2( f1( X ) ) ) ) ), p( h1( Y ), f1( X ), j1( f0( h2( f1( X ) )
% 0.74/1.11 ) ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.74/1.11 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 79, [ ~( p( h1( X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f0( h2( f1(
% 0.74/1.11 Y ) ) ) ) ), ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), Y ) ) ] )
% 0.74/1.11 , clause( 0, [ ~( p( X, f1( Y ), Z ) ), ~( p( X, f0( X ), Y ) ) ] )
% 0.74/1.11 , 0, clause( 26, [ p( h0, Y, j0( f0( h2( f1( X ) ) ) ) ), p( h1( Y ), f1( X
% 0.74/1.11 ), j1( f0( h2( f1( X ) ) ) ) ), ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) )
% 0.74/1.11 ), X ) ) ] )
% 0.74/1.11 , 1, substitution( 0, [ :=( X, h1( X ) ), :=( Y, Y ), :=( Z, j1( f0( h2( f1(
% 0.74/1.11 Y ) ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 30, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), Y ) ), ~( p( h1(
% 0.74/1.11 X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f0( h2( f1( Y ) ) ) ) ) ] )
% 0.74/1.11 , clause( 79, [ ~( p( h1( X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f0( h2(
% 0.74/1.11 f1( Y ) ) ) ) ), ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), Y ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.11 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 factor(
% 0.74/1.11 clause( 82, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ), p( h0, f0(
% 0.74/1.11 h0 ), j0( f0( h2( f1( X ) ) ) ) ) ] )
% 0.74/1.11 , clause( 30, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), Y ) ), ~( p( h1(
% 0.74/1.11 X ), f0( h1( X ) ), Y ) ), p( h0, X, j0( f0( h2( f1( Y ) ) ) ) ) ] )
% 0.74/1.11 , 0, 1, substitution( 0, [ :=( X, f0( h0 ) ), :=( Y, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 83, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ) ] )
% 0.74/1.11 , clause( 21, [ ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , 0, clause( 82, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ), p( h0
% 0.74/1.11 , f0( h0 ), j0( f0( h2( f1( X ) ) ) ) ) ] )
% 0.74/1.11 , 1, substitution( 0, [ :=( X, j0( f0( h2( f1( X ) ) ) ) )] ),
% 0.74/1.11 substitution( 1, [ :=( X, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 31, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ) ] )
% 0.74/1.11 , clause( 83, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 84, [ p( h0, f0( h0 ), j0( f1( X ) ) ), ~( p( h2( f0( h1( f0( h0 )
% 0.74/1.11 ) ) ), f0( h2( f0( h1( f0( h0 ) ) ) ) ), X ) ) ] )
% 0.74/1.11 , clause( 31, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ) ] )
% 0.74/1.11 , 0, clause( 2, [ p( h0, X, j0( f1( Y ) ) ), ~( p( h2( Z ), f0( h2( Z ) ),
% 0.74/1.11 Y ) ), p( h1( X ), Z, j1( f1( Y ) ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, j1( f1( X ) ) )] ), substitution( 1, [ :=( X
% 0.74/1.11 , f0( h0 ) ), :=( Y, X ), :=( Z, f0( h1( f0( h0 ) ) ) )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 85, [ ~( p( h2( f0( h1( f0( h0 ) ) ) ), f0( h2( f0( h1( f0( h0 ) )
% 0.74/1.11 ) ) ), X ) ) ] )
% 0.74/1.11 , clause( 21, [ ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , 0, clause( 84, [ p( h0, f0( h0 ), j0( f1( X ) ) ), ~( p( h2( f0( h1( f0(
% 0.74/1.11 h0 ) ) ) ), f0( h2( f0( h1( f0( h0 ) ) ) ) ), X ) ) ] )
% 0.74/1.11 , 0, substitution( 0, [ :=( X, j0( f1( X ) ) )] ), substitution( 1, [ :=( X
% 0.74/1.11 , X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 33, [ ~( p( h2( f0( h1( f0( h0 ) ) ) ), f0( h2( f0( h1( f0( h0 ) )
% 0.74/1.11 ) ) ), X ) ) ] )
% 0.74/1.11 , clause( 85, [ ~( p( h2( f0( h1( f0( h0 ) ) ) ), f0( h2( f0( h1( f0( h0 )
% 0.74/1.11 ) ) ) ), X ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 86, [ p( h0, X, j0( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ), p( h1( X
% 0.74/1.11 ), f0( h1( f0( h0 ) ) ), j1( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ) ] )
% 0.74/1.11 , clause( 33, [ ~( p( h2( f0( h1( f0( h0 ) ) ) ), f0( h2( f0( h1( f0( h0 )
% 0.74/1.11 ) ) ) ), X ) ) ] )
% 0.74/1.11 , 0, clause( 1, [ p( h0, X, j0( Y ) ), p( h1( X ), Z, j1( Y ) ), p( h2( Z )
% 0.74/1.11 , Y, j2( Y ) ) ] )
% 0.74/1.11 , 2, substitution( 0, [ :=( X, j2( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) )] )
% 0.74/1.11 , substitution( 1, [ :=( X, X ), :=( Y, f0( h2( f0( h1( f0( h0 ) ) ) ) )
% 0.74/1.11 ), :=( Z, f0( h1( f0( h0 ) ) ) )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 34, [ p( h0, X, j0( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ), p( h1( X
% 0.74/1.11 ), f0( h1( f0( h0 ) ) ), j1( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ) ] )
% 0.74/1.11 , clause( 86, [ p( h0, X, j0( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ), p( h1(
% 0.74/1.11 X ), f0( h1( f0( h0 ) ) ), j1( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.11 1 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 87, [ p( h0, f0( h0 ), j0( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , clause( 31, [ ~( p( h1( f0( h0 ) ), f0( h1( f0( h0 ) ) ), X ) ) ] )
% 0.74/1.11 , 0, clause( 34, [ p( h0, X, j0( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ), p(
% 0.74/1.11 h1( X ), f0( h1( f0( h0 ) ) ), j1( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , 1, substitution( 0, [ :=( X, j1( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) )] )
% 0.74/1.11 , substitution( 1, [ :=( X, f0( h0 ) )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 resolution(
% 0.74/1.11 clause( 88, [] )
% 0.74/1.11 , clause( 21, [ ~( p( h0, f0( h0 ), X ) ) ] )
% 0.74/1.11 , 0, clause( 87, [ p( h0, f0( h0 ), j0( f0( h2( f0( h1( f0( h0 ) ) ) ) ) )
% 0.74/1.11 ) ] )
% 0.74/1.11 , 0, substitution( 0, [ :=( X, j0( f0( h2( f0( h1( f0( h0 ) ) ) ) ) ) )] )
% 0.74/1.11 , substitution( 1, [] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 36, [] )
% 0.74/1.11 , clause( 88, [] )
% 0.74/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 end.
% 0.74/1.11
% 0.74/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.11
% 0.74/1.11 Memory use:
% 0.74/1.11
% 0.74/1.11 space for terms: 965
% 0.74/1.11 space for clauses: 2833
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 clauses generated: 133
% 0.74/1.11 clauses kept: 37
% 0.74/1.11 clauses selected: 30
% 0.74/1.11 clauses deleted: 4
% 0.74/1.11 clauses inuse deleted: 0
% 0.74/1.11
% 0.74/1.11 subsentry: 86
% 0.74/1.11 literals s-matched: 50
% 0.74/1.11 literals matched: 50
% 0.74/1.11 full subsumption: 18
% 0.74/1.11
% 0.74/1.11 checksum: 1056212032
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Bliksem ended
%------------------------------------------------------------------------------