TSTP Solution File: SYN328-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN328-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 02:49:39 EDT 2022
% Result : Unsatisfiable 0.45s 1.12s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN328-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jul 11 23:35:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.12 *** allocated 10000 integers for termspace/termends
% 0.45/1.12 *** allocated 10000 integers for clauses
% 0.45/1.12 *** allocated 10000 integers for justifications
% 0.45/1.12 Bliksem 1.12
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Automatic Strategy Selection
% 0.45/1.12
% 0.45/1.12 Clauses:
% 0.45/1.12 [
% 0.45/1.12 [ ~( f( y( X ) ) ), g( y( X ) ), ~( f( X ) ) ],
% 0.45/1.12 [ f( y( X ) ), f( X ) ],
% 0.45/1.12 [ ~( g( y( X ) ) ), f( X ) ],
% 0.45/1.12 [ ~( f( y( X ) ) ), h( y( X ) ), ~( g( X ) ) ],
% 0.45/1.12 [ f( y( X ) ), g( X ) ],
% 0.45/1.12 [ ~( h( y( X ) ) ), g( X ) ],
% 0.45/1.12 [ f( y( X ) ), h( y( X ) ), ~( h( X ) ) ],
% 0.45/1.12 [ ~( g( y( X ) ) ), h( y( X ) ), ~( h( X ) ) ],
% 0.45/1.12 [ ~( f( y( X ) ) ), g( y( X ) ), h( X ) ],
% 0.45/1.12 [ ~( h( y( X ) ) ), h( X ) ],
% 0.45/1.12 [ ~( f( z( X ) ) ), ~( g( z( X ) ) ), ~( h( z( X ) ) ) ]
% 0.45/1.12 ] .
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 percentage equality = 0.000000, percentage horn = 0.636364
% 0.45/1.12 This a non-horn, non-equality problem
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Options Used:
% 0.45/1.12
% 0.45/1.12 useres = 1
% 0.45/1.12 useparamod = 0
% 0.45/1.12 useeqrefl = 0
% 0.45/1.12 useeqfact = 0
% 0.45/1.12 usefactor = 1
% 0.45/1.12 usesimpsplitting = 0
% 0.45/1.12 usesimpdemod = 0
% 0.45/1.12 usesimpres = 3
% 0.45/1.12
% 0.45/1.12 resimpinuse = 1000
% 0.45/1.12 resimpclauses = 20000
% 0.45/1.12 substype = standard
% 0.45/1.12 backwardsubs = 1
% 0.45/1.12 selectoldest = 5
% 0.45/1.12
% 0.45/1.12 litorderings [0] = split
% 0.45/1.12 litorderings [1] = liftord
% 0.45/1.12
% 0.45/1.12 termordering = none
% 0.45/1.12
% 0.45/1.12 litapriori = 1
% 0.45/1.12 termapriori = 0
% 0.45/1.12 litaposteriori = 0
% 0.45/1.12 termaposteriori = 0
% 0.45/1.12 demodaposteriori = 0
% 0.45/1.12 ordereqreflfact = 0
% 0.45/1.12
% 0.45/1.12 litselect = none
% 0.45/1.12
% 0.45/1.12 maxweight = 15
% 0.45/1.12 maxdepth = 30000
% 0.45/1.12 maxlength = 115
% 0.45/1.12 maxnrvars = 195
% 0.45/1.12 excuselevel = 1
% 0.45/1.12 increasemaxweight = 1
% 0.45/1.12
% 0.45/1.12 maxselected = 10000000
% 0.45/1.12 maxnrclauses = 10000000
% 0.45/1.12
% 0.45/1.12 showgenerated = 0
% 0.45/1.12 showkept = 0
% 0.45/1.12 showselected = 0
% 0.45/1.12 showdeleted = 0
% 0.45/1.12 showresimp = 1
% 0.45/1.12 showstatus = 2000
% 0.45/1.12
% 0.45/1.12 prologoutput = 1
% 0.45/1.12 nrgoals = 5000000
% 0.45/1.12 totalproof = 1
% 0.45/1.12
% 0.45/1.12 Symbols occurring in the translation:
% 0.45/1.12
% 0.45/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.12 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.45/1.12 ! [4, 1] (w:0, o:10, a:1, s:1, b:0),
% 0.45/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.12 y [40, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.45/1.12 f [41, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.45/1.12 g [42, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.45/1.12 h [43, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.45/1.12 z [44, 1] (w:1, o:19, a:1, s:1, b:0).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Starting Search:
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Bliksems!, er is een bewijs:
% 0.45/1.12 % SZS status Unsatisfiable
% 0.45/1.12 % SZS output start Refutation
% 0.45/1.12
% 0.45/1.12 clause( 0, [ ~( f( y( X ) ) ), ~( f( X ) ), g( y( X ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 1, [ f( X ), f( y( X ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 2, [ f( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 3, [ ~( f( y( X ) ) ), ~( g( X ) ), h( y( X ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 4, [ f( y( X ) ), g( X ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 5, [ g( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 7, [ ~( g( y( X ) ) ), ~( h( X ) ), h( y( X ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 8, [ ~( f( y( X ) ) ), g( y( X ) ), h( X ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 9, [ h( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 10, [ ~( f( z( X ) ) ), ~( g( z( X ) ) ), ~( h( z( X ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 11, [ h( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 12, [ g( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 13, [ f( y( y( X ) ) ), f( X ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 14, [ g( X ), ~( h( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 23, [ ~( f( y( y( X ) ) ) ), g( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 24, [ ~( f( y( X ) ) ), ~( g( X ) ), h( X ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 26, [ ~( f( y( y( y( X ) ) ) ) ), g( X ), ~( g( y( y( X ) ) ) ) ]
% 0.45/1.12 )
% 0.45/1.12 .
% 0.45/1.12 clause( 29, [ ~( f( y( y( y( y( X ) ) ) ) ) ), g( X ), g( y( y( y( y( X ) )
% 0.45/1.12 ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 37, [ ~( g( y( X ) ) ), g( X ), ~( h( X ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 40, [ g( y( X ) ), ~( g( X ) ), ~( g( y( y( X ) ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 51, [ ~( f( z( X ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 60, [ ~( g( y( z( X ) ) ) ), ~( h( z( X ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 61, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ), g( y( y( z( X )
% 0.45/1.12 ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 72, [ ~( h( y( y( z( X ) ) ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 76, [ ~( g( y( y( z( X ) ) ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 92, [ ~( f( y( X ) ) ), g( y( X ) ), ~( g( X ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 96, [ f( X ), ~( g( X ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 105, [ ~( f( y( y( X ) ) ) ), ~( f( X ) ), g( X ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 108, [ ~( f( X ) ), ~( g( y( y( X ) ) ) ), g( y( X ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 110, [ f( X ), ~( f( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 113, [ f( y( y( y( y( X ) ) ) ) ), f( X ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 120, [ f( X ), ~( g( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 121, [ f( X ), ~( g( y( y( y( y( X ) ) ) ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 123, [ ~( g( y( y( z( X ) ) ) ) ), ~( g( z( X ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 126, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 135, [ f( X ), g( X ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 152, [ f( X ) ] )
% 0.45/1.12 .
% 0.45/1.12 clause( 153, [] )
% 0.45/1.12 .
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 % SZS output end Refutation
% 0.45/1.12 found a proof!
% 0.45/1.12
% 0.45/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.12
% 0.45/1.12 initialclauses(
% 0.45/1.12 [ clause( 155, [ ~( f( y( X ) ) ), g( y( X ) ), ~( f( X ) ) ] )
% 0.45/1.12 , clause( 156, [ f( y( X ) ), f( X ) ] )
% 0.45/1.12 , clause( 157, [ ~( g( y( X ) ) ), f( X ) ] )
% 0.45/1.12 , clause( 158, [ ~( f( y( X ) ) ), h( y( X ) ), ~( g( X ) ) ] )
% 0.45/1.12 , clause( 159, [ f( y( X ) ), g( X ) ] )
% 0.45/1.12 , clause( 160, [ ~( h( y( X ) ) ), g( X ) ] )
% 0.45/1.12 , clause( 161, [ f( y( X ) ), h( y( X ) ), ~( h( X ) ) ] )
% 0.45/1.12 , clause( 162, [ ~( g( y( X ) ) ), h( y( X ) ), ~( h( X ) ) ] )
% 0.45/1.12 , clause( 163, [ ~( f( y( X ) ) ), g( y( X ) ), h( X ) ] )
% 0.45/1.12 , clause( 164, [ ~( h( y( X ) ) ), h( X ) ] )
% 0.45/1.12 , clause( 165, [ ~( f( z( X ) ) ), ~( g( z( X ) ) ), ~( h( z( X ) ) ) ] )
% 0.45/1.12 ] ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 0, [ ~( f( y( X ) ) ), ~( f( X ) ), g( y( X ) ) ] )
% 0.45/1.12 , clause( 155, [ ~( f( y( X ) ) ), g( y( X ) ), ~( f( X ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 2 ), ==>( 2, 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 1, [ f( X ), f( y( X ) ) ] )
% 0.45/1.12 , clause( 156, [ f( y( X ) ), f( X ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 2, [ f( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , clause( 157, [ ~( g( y( X ) ) ), f( X ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 3, [ ~( f( y( X ) ) ), ~( g( X ) ), h( y( X ) ) ] )
% 0.45/1.12 , clause( 158, [ ~( f( y( X ) ) ), h( y( X ) ), ~( g( X ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 2 ), ==>( 2, 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 4, [ f( y( X ) ), g( X ) ] )
% 0.45/1.12 , clause( 159, [ f( y( X ) ), g( X ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 5, [ g( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , clause( 160, [ ~( h( y( X ) ) ), g( X ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 7, [ ~( g( y( X ) ) ), ~( h( X ) ), h( y( X ) ) ] )
% 0.45/1.12 , clause( 162, [ ~( g( y( X ) ) ), h( y( X ) ), ~( h( X ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 2 ), ==>( 2, 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 8, [ ~( f( y( X ) ) ), g( y( X ) ), h( X ) ] )
% 0.45/1.12 , clause( 163, [ ~( f( y( X ) ) ), g( y( X ) ), h( X ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 ), ==>( 2, 2 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 9, [ h( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , clause( 164, [ ~( h( y( X ) ) ), h( X ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 10, [ ~( f( z( X ) ) ), ~( g( z( X ) ) ), ~( h( z( X ) ) ) ] )
% 0.45/1.12 , clause( 165, [ ~( f( z( X ) ) ), ~( g( z( X ) ) ), ~( h( z( X ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 ), ==>( 2, 2 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 166, [ h( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 , clause( 9, [ h( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , 1, clause( 9, [ h( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 11, [ h( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 , clause( 166, [ h( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 167, [ g( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 , clause( 5, [ g( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , 1, clause( 9, [ h( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 12, [ g( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 , clause( 167, [ g( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 168, [ f( X ), f( y( y( X ) ) ) ] )
% 0.45/1.12 , clause( 2, [ f( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , 1, clause( 4, [ f( y( X ) ), g( X ) ] )
% 0.45/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 13, [ f( y( y( X ) ) ), f( X ) ] )
% 0.45/1.12 , clause( 168, [ f( X ), f( y( y( X ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 169, [ g( X ), ~( h( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 12, [ g( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 9, [ h( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( y( X )
% 0.45/1.12 ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 14, [ g( X ), ~( h( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 169, [ g( X ), ~( h( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 171, [ g( X ), ~( f( y( y( X ) ) ) ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , clause( 12, [ g( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 3, [ ~( f( y( X ) ) ), ~( g( X ) ), h( y( X ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 23, [ ~( f( y( y( X ) ) ) ), g( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , clause( 171, [ g( X ), ~( f( y( y( X ) ) ) ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 ), ==>( 2, 2 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 172, [ h( X ), ~( f( y( X ) ) ), ~( g( X ) ) ] )
% 0.45/1.12 , clause( 9, [ h( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , 1, clause( 3, [ ~( f( y( X ) ) ), ~( g( X ) ), h( y( X ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 24, [ ~( f( y( X ) ) ), ~( g( X ) ), h( X ) ] )
% 0.45/1.12 , clause( 172, [ h( X ), ~( f( y( X ) ) ), ~( g( X ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.45/1.12 0 ), ==>( 2, 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 174, [ g( X ), ~( f( y( y( y( X ) ) ) ) ), ~( g( y( y( X ) ) ) ) ]
% 0.45/1.12 )
% 0.45/1.12 , clause( 12, [ g( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 24, [ ~( f( y( X ) ) ), ~( g( X ) ), h( X ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( y( X )
% 0.45/1.12 ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 26, [ ~( f( y( y( y( X ) ) ) ) ), g( X ), ~( g( y( y( X ) ) ) ) ]
% 0.45/1.12 )
% 0.45/1.12 , clause( 174, [ g( X ), ~( f( y( y( y( X ) ) ) ) ), ~( g( y( y( X ) ) ) )
% 0.45/1.12 ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 ), ==>( 2, 2 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 175, [ g( X ), ~( f( y( y( y( y( X ) ) ) ) ) ), g( y( y( y( y( X )
% 0.45/1.12 ) ) ) ) ] )
% 0.45/1.12 , clause( 14, [ g( X ), ~( h( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 8, [ ~( f( y( X ) ) ), g( y( X ) ), h( X ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( y( y( X
% 0.45/1.12 ) ) ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 29, [ ~( f( y( y( y( y( X ) ) ) ) ) ), g( X ), g( y( y( y( y( X ) )
% 0.45/1.12 ) ) ) ] )
% 0.45/1.12 , clause( 175, [ g( X ), ~( f( y( y( y( y( X ) ) ) ) ) ), g( y( y( y( y( X
% 0.45/1.12 ) ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 ), ==>( 2, 2 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 177, [ g( X ), ~( g( y( X ) ) ), ~( h( X ) ) ] )
% 0.45/1.12 , clause( 5, [ g( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , 1, clause( 7, [ ~( g( y( X ) ) ), ~( h( X ) ), h( y( X ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 37, [ ~( g( y( X ) ) ), g( X ), ~( h( X ) ) ] )
% 0.45/1.12 , clause( 177, [ g( X ), ~( g( y( X ) ) ), ~( h( X ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 ), ==>( 2, 2 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 178, [ ~( g( y( y( X ) ) ) ), g( y( X ) ), ~( f( y( X ) ) ), ~( g(
% 0.45/1.12 X ) ) ] )
% 0.45/1.12 , clause( 37, [ ~( g( y( X ) ) ), g( X ), ~( h( X ) ) ] )
% 0.45/1.12 , 2, clause( 3, [ ~( f( y( X ) ) ), ~( g( X ) ), h( y( X ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, y( X ) )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 179, [ ~( g( y( y( X ) ) ) ), g( y( X ) ), ~( g( X ) ), ~( g( y( y(
% 0.45/1.12 X ) ) ) ) ] )
% 0.45/1.12 , clause( 178, [ ~( g( y( y( X ) ) ) ), g( y( X ) ), ~( f( y( X ) ) ), ~( g(
% 0.45/1.12 X ) ) ] )
% 0.45/1.12 , 2, clause( 2, [ f( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 180, [ ~( g( y( y( X ) ) ) ), g( y( X ) ), ~( g( X ) ) ] )
% 0.45/1.12 , clause( 179, [ ~( g( y( y( X ) ) ) ), g( y( X ) ), ~( g( X ) ), ~( g( y(
% 0.45/1.12 y( X ) ) ) ) ] )
% 0.45/1.12 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 40, [ g( y( X ) ), ~( g( X ) ), ~( g( y( y( X ) ) ) ) ] )
% 0.45/1.12 , clause( 180, [ ~( g( y( y( X ) ) ) ), g( y( X ) ), ~( g( X ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.45/1.12 0 ), ==>( 2, 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 181, [ ~( f( z( X ) ) ), ~( g( z( X ) ) ), ~( h( y( z( X ) ) ) ) ]
% 0.45/1.12 )
% 0.45/1.12 , clause( 10, [ ~( f( z( X ) ) ), ~( g( z( X ) ) ), ~( h( z( X ) ) ) ] )
% 0.45/1.12 , 2, clause( 9, [ h( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, z( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 182, [ ~( f( z( X ) ) ), ~( h( y( z( X ) ) ) ), ~( h( y( z( X ) ) )
% 0.45/1.12 ) ] )
% 0.45/1.12 , clause( 181, [ ~( f( z( X ) ) ), ~( g( z( X ) ) ), ~( h( y( z( X ) ) ) )
% 0.45/1.12 ] )
% 0.45/1.12 , 1, clause( 5, [ g( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, z( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 183, [ ~( f( z( X ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 , clause( 182, [ ~( f( z( X ) ) ), ~( h( y( z( X ) ) ) ), ~( h( y( z( X ) )
% 0.45/1.12 ) ) ] )
% 0.45/1.12 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 51, [ ~( f( z( X ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 , clause( 183, [ ~( f( z( X ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 184, [ ~( f( z( X ) ) ), ~( g( y( z( X ) ) ) ), ~( h( z( X ) ) ) ]
% 0.45/1.12 )
% 0.45/1.12 , clause( 51, [ ~( f( z( X ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 7, [ ~( g( y( X ) ) ), ~( h( X ) ), h( y( X ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, z( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 185, [ ~( g( y( z( X ) ) ) ), ~( h( z( X ) ) ), ~( g( y( z( X ) ) )
% 0.45/1.12 ) ] )
% 0.45/1.12 , clause( 184, [ ~( f( z( X ) ) ), ~( g( y( z( X ) ) ) ), ~( h( z( X ) ) )
% 0.45/1.12 ] )
% 0.45/1.12 , 0, clause( 2, [ f( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, z( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 186, [ ~( g( y( z( X ) ) ) ), ~( h( z( X ) ) ) ] )
% 0.45/1.12 , clause( 185, [ ~( g( y( z( X ) ) ) ), ~( h( z( X ) ) ), ~( g( y( z( X ) )
% 0.45/1.12 ) ) ] )
% 0.45/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 60, [ ~( g( y( z( X ) ) ) ), ~( h( z( X ) ) ) ] )
% 0.45/1.12 , clause( 186, [ ~( g( y( z( X ) ) ) ), ~( h( z( X ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 187, [ ~( f( z( X ) ) ), ~( f( y( y( z( X ) ) ) ) ), g( y( y( z( X
% 0.45/1.12 ) ) ) ) ] )
% 0.45/1.12 , clause( 51, [ ~( f( z( X ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 8, [ ~( f( y( X ) ) ), g( y( X ) ), h( X ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( z( X )
% 0.45/1.12 ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 61, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ), g( y( y( z( X )
% 0.45/1.12 ) ) ) ] )
% 0.45/1.12 , clause( 187, [ ~( f( z( X ) ) ), ~( f( y( y( z( X ) ) ) ) ), g( y( y( z(
% 0.45/1.12 X ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 ), ==>( 2, 2 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 188, [ ~( g( y( z( X ) ) ) ), ~( h( y( y( z( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 60, [ ~( g( y( z( X ) ) ) ), ~( h( z( X ) ) ) ] )
% 0.45/1.12 , 1, clause( 11, [ h( X ), ~( h( y( y( X ) ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, z( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 189, [ ~( h( y( y( z( X ) ) ) ) ), ~( h( y( y( z( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 188, [ ~( g( y( z( X ) ) ) ), ~( h( y( y( z( X ) ) ) ) ) ] )
% 0.45/1.12 , 0, clause( 5, [ g( X ), ~( h( y( X ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( z( X )
% 0.45/1.12 ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 190, [ ~( h( y( y( z( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 189, [ ~( h( y( y( z( X ) ) ) ) ), ~( h( y( y( z( X ) ) ) ) ) ]
% 0.45/1.12 )
% 0.45/1.12 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 72, [ ~( h( y( y( z( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 190, [ ~( h( y( y( z( X ) ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 191, [ ~( g( y( y( z( X ) ) ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 , clause( 72, [ ~( h( y( y( z( X ) ) ) ) ) ] )
% 0.45/1.12 , 0, clause( 7, [ ~( g( y( X ) ) ), ~( h( X ) ), h( y( X ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( z( X )
% 0.45/1.12 ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 76, [ ~( g( y( y( z( X ) ) ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 , clause( 191, [ ~( g( y( y( z( X ) ) ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 193, [ g( y( X ) ), ~( g( X ) ), ~( f( y( y( X ) ) ) ), ~( f( y( X
% 0.45/1.12 ) ) ) ] )
% 0.45/1.12 , clause( 40, [ g( y( X ) ), ~( g( X ) ), ~( g( y( y( X ) ) ) ) ] )
% 0.45/1.12 , 2, clause( 0, [ ~( f( y( X ) ) ), ~( f( X ) ), g( y( X ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 197, [ g( y( X ) ), ~( g( X ) ), ~( f( y( X ) ) ), g( y( X ) ) ] )
% 0.45/1.12 , clause( 193, [ g( y( X ) ), ~( g( X ) ), ~( f( y( y( X ) ) ) ), ~( f( y(
% 0.45/1.12 X ) ) ) ] )
% 0.45/1.12 , 2, clause( 4, [ f( y( X ) ), g( X ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 199, [ g( y( X ) ), ~( g( X ) ), ~( f( y( X ) ) ) ] )
% 0.45/1.12 , clause( 197, [ g( y( X ) ), ~( g( X ) ), ~( f( y( X ) ) ), g( y( X ) ) ]
% 0.45/1.12 )
% 0.45/1.12 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 92, [ ~( f( y( X ) ) ), g( y( X ) ), ~( g( X ) ) ] )
% 0.45/1.12 , clause( 199, [ g( y( X ) ), ~( g( X ) ), ~( f( y( X ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 2 ), ==>( 2, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 201, [ f( X ), ~( f( y( X ) ) ), ~( g( X ) ) ] )
% 0.45/1.12 , clause( 2, [ f( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , 1, clause( 92, [ ~( f( y( X ) ) ), g( y( X ) ), ~( g( X ) ) ] )
% 0.45/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 203, [ f( X ), ~( g( X ) ), f( X ) ] )
% 0.45/1.12 , clause( 201, [ f( X ), ~( f( y( X ) ) ), ~( g( X ) ) ] )
% 0.45/1.12 , 1, clause( 1, [ f( X ), f( y( X ) ) ] )
% 0.45/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 204, [ f( X ), ~( g( X ) ) ] )
% 0.45/1.12 , clause( 203, [ f( X ), ~( g( X ) ), f( X ) ] )
% 0.45/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 96, [ f( X ), ~( g( X ) ) ] )
% 0.45/1.12 , clause( 204, [ f( X ), ~( g( X ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 205, [ ~( f( y( y( X ) ) ) ), g( X ), ~( f( y( X ) ) ), ~( f( X ) )
% 0.45/1.12 ] )
% 0.45/1.12 , clause( 23, [ ~( f( y( y( X ) ) ) ), g( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , 2, clause( 0, [ ~( f( y( X ) ) ), ~( f( X ) ), g( y( X ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 207, [ ~( f( y( y( X ) ) ) ), g( X ), ~( f( X ) ), g( X ) ] )
% 0.45/1.12 , clause( 205, [ ~( f( y( y( X ) ) ) ), g( X ), ~( f( y( X ) ) ), ~( f( X )
% 0.45/1.12 ) ] )
% 0.45/1.12 , 2, clause( 4, [ f( y( X ) ), g( X ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 208, [ ~( f( y( y( X ) ) ) ), g( X ), ~( f( X ) ) ] )
% 0.45/1.12 , clause( 207, [ ~( f( y( y( X ) ) ) ), g( X ), ~( f( X ) ), g( X ) ] )
% 0.45/1.12 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 105, [ ~( f( y( y( X ) ) ) ), ~( f( X ) ), g( X ) ] )
% 0.45/1.12 , clause( 208, [ ~( f( y( y( X ) ) ) ), g( X ), ~( f( X ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 2 ), ==>( 2, 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 209, [ g( y( X ) ), ~( g( y( y( X ) ) ) ), ~( f( y( y( X ) ) ) ),
% 0.45/1.12 ~( f( X ) ) ] )
% 0.45/1.12 , clause( 40, [ g( y( X ) ), ~( g( X ) ), ~( g( y( y( X ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 105, [ ~( f( y( y( X ) ) ) ), ~( f( X ) ), g( X ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 211, [ g( y( X ) ), ~( g( y( y( X ) ) ) ), ~( f( X ) ), ~( g( y( y(
% 0.45/1.12 X ) ) ) ) ] )
% 0.45/1.12 , clause( 209, [ g( y( X ) ), ~( g( y( y( X ) ) ) ), ~( f( y( y( X ) ) ) )
% 0.45/1.12 , ~( f( X ) ) ] )
% 0.45/1.12 , 2, clause( 96, [ f( X ), ~( g( X ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( y( X )
% 0.45/1.12 ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 213, [ g( y( X ) ), ~( g( y( y( X ) ) ) ), ~( f( X ) ) ] )
% 0.45/1.12 , clause( 211, [ g( y( X ) ), ~( g( y( y( X ) ) ) ), ~( f( X ) ), ~( g( y(
% 0.45/1.12 y( X ) ) ) ) ] )
% 0.45/1.12 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 108, [ ~( f( X ) ), ~( g( y( y( X ) ) ) ), g( y( X ) ) ] )
% 0.45/1.12 , clause( 213, [ g( y( X ) ), ~( g( y( y( X ) ) ) ), ~( f( X ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.45/1.12 1 ), ==>( 2, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 219, [ f( X ), ~( f( y( y( y( X ) ) ) ) ), ~( f( y( X ) ) ) ] )
% 0.45/1.12 , clause( 2, [ f( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , 1, clause( 105, [ ~( f( y( y( X ) ) ) ), ~( f( X ) ), g( X ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 223, [ f( X ), ~( f( y( y( y( X ) ) ) ) ), f( X ) ] )
% 0.45/1.12 , clause( 219, [ f( X ), ~( f( y( y( y( X ) ) ) ) ), ~( f( y( X ) ) ) ] )
% 0.45/1.12 , 2, clause( 1, [ f( X ), f( y( X ) ) ] )
% 0.45/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 224, [ f( X ), ~( f( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 223, [ f( X ), ~( f( y( y( y( X ) ) ) ) ), f( X ) ] )
% 0.45/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 110, [ f( X ), ~( f( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 224, [ f( X ), ~( f( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 225, [ f( X ), f( y( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 110, [ f( X ), ~( f( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 1, [ f( X ), f( y( X ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( y( y( X
% 0.45/1.12 ) ) ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 113, [ f( y( y( y( y( X ) ) ) ) ), f( X ) ] )
% 0.45/1.12 , clause( 225, [ f( X ), f( y( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.12 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 228, [ f( X ), ~( f( y( y( y( y( X ) ) ) ) ) ), ~( g( y( y( y( X )
% 0.45/1.12 ) ) ) ) ] )
% 0.45/1.12 , clause( 2, [ f( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , 1, clause( 26, [ ~( f( y( y( y( X ) ) ) ) ), g( X ), ~( g( y( y( X ) ) )
% 0.45/1.12 ) ] )
% 0.45/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 229, [ f( X ), ~( g( y( y( y( X ) ) ) ) ), f( X ) ] )
% 0.45/1.12 , clause( 228, [ f( X ), ~( f( y( y( y( y( X ) ) ) ) ) ), ~( g( y( y( y( X
% 0.45/1.12 ) ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 113, [ f( y( y( y( y( X ) ) ) ) ), f( X ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 230, [ f( X ), ~( g( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 229, [ f( X ), ~( g( y( y( y( X ) ) ) ) ), f( X ) ] )
% 0.45/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 120, [ f( X ), ~( g( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 230, [ f( X ), ~( g( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 231, [ f( X ), ~( f( y( y( X ) ) ) ), ~( g( y( y( y( y( X ) ) ) ) )
% 0.45/1.12 ) ] )
% 0.45/1.12 , clause( 120, [ f( X ), ~( g( y( y( y( X ) ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 108, [ ~( f( X ) ), ~( g( y( y( X ) ) ) ), g( y( X ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( y( X )
% 0.45/1.12 ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 232, [ f( X ), ~( g( y( y( y( y( X ) ) ) ) ) ), f( X ) ] )
% 0.45/1.12 , clause( 231, [ f( X ), ~( f( y( y( X ) ) ) ), ~( g( y( y( y( y( X ) ) ) )
% 0.45/1.12 ) ) ] )
% 0.45/1.12 , 1, clause( 13, [ f( y( y( X ) ) ), f( X ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 233, [ f( X ), ~( g( y( y( y( y( X ) ) ) ) ) ) ] )
% 0.45/1.12 , clause( 232, [ f( X ), ~( g( y( y( y( y( X ) ) ) ) ) ), f( X ) ] )
% 0.45/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 121, [ f( X ), ~( g( y( y( y( y( X ) ) ) ) ) ) ] )
% 0.45/1.12 , clause( 233, [ f( X ), ~( g( y( y( y( y( X ) ) ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 234, [ ~( g( y( y( z( X ) ) ) ) ), ~( f( y( z( X ) ) ) ), ~( g( z(
% 0.45/1.12 X ) ) ) ] )
% 0.45/1.12 , clause( 76, [ ~( g( y( y( z( X ) ) ) ) ), ~( h( y( z( X ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 3, [ ~( f( y( X ) ) ), ~( g( X ) ), h( y( X ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, z( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 235, [ ~( g( y( y( z( X ) ) ) ) ), ~( g( z( X ) ) ), ~( g( y( y( z(
% 0.45/1.12 X ) ) ) ) ) ] )
% 0.45/1.12 , clause( 234, [ ~( g( y( y( z( X ) ) ) ) ), ~( f( y( z( X ) ) ) ), ~( g( z(
% 0.45/1.12 X ) ) ) ] )
% 0.45/1.12 , 1, clause( 2, [ f( X ), ~( g( y( X ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( z( X )
% 0.45/1.12 ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 236, [ ~( g( y( y( z( X ) ) ) ) ), ~( g( z( X ) ) ) ] )
% 0.45/1.12 , clause( 235, [ ~( g( y( y( z( X ) ) ) ) ), ~( g( z( X ) ) ), ~( g( y( y(
% 0.45/1.12 z( X ) ) ) ) ) ] )
% 0.45/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 123, [ ~( g( y( y( z( X ) ) ) ) ), ~( g( z( X ) ) ) ] )
% 0.45/1.12 , clause( 236, [ ~( g( y( y( z( X ) ) ) ) ), ~( g( z( X ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 238, [ ~( g( y( y( z( X ) ) ) ) ), ~( f( y( y( z( X ) ) ) ) ), ~( f(
% 0.45/1.12 z( X ) ) ) ] )
% 0.45/1.12 , clause( 123, [ ~( g( y( y( z( X ) ) ) ) ), ~( g( z( X ) ) ) ] )
% 0.45/1.12 , 1, clause( 105, [ ~( f( y( y( X ) ) ) ), ~( f( X ) ), g( X ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, z( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 239, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ), ~( f( y( y( z(
% 0.45/1.12 X ) ) ) ) ), ~( f( z( X ) ) ) ] )
% 0.45/1.12 , clause( 238, [ ~( g( y( y( z( X ) ) ) ) ), ~( f( y( y( z( X ) ) ) ) ),
% 0.45/1.12 ~( f( z( X ) ) ) ] )
% 0.45/1.12 , 0, clause( 61, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ), g( y( y( z(
% 0.45/1.12 X ) ) ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 240, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ), ~( f( z( X ) )
% 0.45/1.12 ) ] )
% 0.45/1.12 , clause( 239, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ), ~( f( y( y(
% 0.45/1.12 z( X ) ) ) ) ), ~( f( z( X ) ) ) ] )
% 0.45/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 241, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ) ] )
% 0.45/1.12 , clause( 240, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ), ~( f( z( X )
% 0.45/1.12 ) ) ] )
% 0.45/1.12 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 126, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ) ] )
% 0.45/1.12 , clause( 241, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 244, [ f( X ), ~( f( y( y( y( y( X ) ) ) ) ) ), g( X ) ] )
% 0.45/1.12 , clause( 121, [ f( X ), ~( g( y( y( y( y( X ) ) ) ) ) ) ] )
% 0.45/1.12 , 1, clause( 29, [ ~( f( y( y( y( y( X ) ) ) ) ) ), g( X ), g( y( y( y( y(
% 0.45/1.12 X ) ) ) ) ) ] )
% 0.45/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 247, [ f( X ), g( X ), f( X ) ] )
% 0.45/1.12 , clause( 244, [ f( X ), ~( f( y( y( y( y( X ) ) ) ) ) ), g( X ) ] )
% 0.45/1.12 , 1, clause( 113, [ f( y( y( y( y( X ) ) ) ) ), f( X ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 248, [ f( X ), g( X ) ] )
% 0.45/1.12 , clause( 247, [ f( X ), g( X ), f( X ) ] )
% 0.45/1.12 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 135, [ f( X ), g( X ) ] )
% 0.45/1.12 , clause( 248, [ f( X ), g( X ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.12 1 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 249, [ f( X ), f( X ) ] )
% 0.45/1.12 , clause( 96, [ f( X ), ~( g( X ) ) ] )
% 0.45/1.12 , 1, clause( 135, [ f( X ), g( X ) ] )
% 0.45/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 factor(
% 0.45/1.12 clause( 250, [ f( X ) ] )
% 0.45/1.12 , clause( 249, [ f( X ), f( X ) ] )
% 0.45/1.12 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 152, [ f( X ) ] )
% 0.45/1.12 , clause( 250, [ f( X ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 251, [ ~( f( z( X ) ) ) ] )
% 0.45/1.12 , clause( 126, [ ~( f( y( y( z( X ) ) ) ) ), ~( f( z( X ) ) ) ] )
% 0.45/1.12 , 0, clause( 152, [ f( X ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, y( y( z( X
% 0.45/1.12 ) ) ) )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 253, [] )
% 0.45/1.12 , clause( 251, [ ~( f( z( X ) ) ) ] )
% 0.45/1.12 , 0, clause( 152, [ f( X ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, z( X ) )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 153, [] )
% 0.45/1.12 , clause( 253, [] )
% 0.45/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 end.
% 0.45/1.12
% 0.45/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.12
% 0.45/1.12 Memory use:
% 0.45/1.12
% 0.45/1.12 space for terms: 1997
% 0.45/1.12 space for clauses: 7935
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 clauses generated: 639
% 0.45/1.12 clauses kept: 154
% 0.45/1.12 clauses selected: 64
% 0.45/1.12 clauses deleted: 4
% 0.45/1.12 clauses inuse deleted: 0
% 0.45/1.12
% 0.45/1.12 subsentry: 1280
% 0.45/1.12 literals s-matched: 1239
% 0.45/1.12 literals matched: 1239
% 0.45/1.12 full subsumption: 100
% 0.45/1.12
% 0.45/1.12 checksum: 201352381
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Bliksem ended
%------------------------------------------------------------------------------