TSTP Solution File: SYN575-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% 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 02:53:05 EDT 2022
% Result : Unsatisfiable 0.45s 1.08s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 23:10:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.08 *** allocated 10000 integers for termspace/termends
% 0.45/1.08 *** allocated 10000 integers for clauses
% 0.45/1.08 *** allocated 10000 integers for justifications
% 0.45/1.08 Bliksem 1.12
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Automatic Strategy Selection
% 0.45/1.08
% 0.45/1.08 Clauses:
% 0.45/1.08 [
% 0.45/1.08 [ p10( X, X ) ],
% 0.45/1.08 [ p7( X, X ) ],
% 0.45/1.08 [ p3( X, X ) ],
% 0.45/1.08 [ p2( X, X ) ],
% 0.45/1.08 [ p9( c12, c13 ) ],
% 0.45/1.08 [ p11( c14, c15 ) ],
% 0.45/1.08 [ p3( f4( f5( X ) ), f4( X ) ) ],
% 0.45/1.08 [ p3( f6( f5( X ) ), f6( X ) ) ],
% 0.45/1.08 [ p9( X, c13 ), ~( p9( X, f6( c14 ) ) ) ],
% 0.45/1.08 [ p9( X, f6( c14 ) ), ~( p9( X, c13 ) ) ],
% 0.45/1.08 [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.45/1.08 [ p3( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ],
% 0.45/1.08 [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.45/1.08 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.45/1.08 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.45/1.08 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.45/1.08 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.45/1.08 [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, Y ) ) ]
% 0.45/1.08 ,
% 0.45/1.08 [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p3( T, Y ) ) ],
% 0.45/1.08 [ p7( f8( X, Y ), f8( Z, T ) ), ~( p2( Y, T ) ), ~( p3( X, Z ) ) ],
% 0.45/1.08 [ p9( f8( X, Y ), X ), p9( f8( X, Y ), f6( Y ) ), ~( p11( Z, c15 ) ),
% 0.45/1.08 ~( p9( c12, X ) ), ~( p2( Y, f5( Z ) ) ) ],
% 0.45/1.08 [ ~( p11( X, c15 ) ), ~( p9( c12, Y ) ), ~( p2( Z, f5( X ) ) ), ~( p9(
% 0.45/1.08 f8( Y, Z ), Y ) ), ~( p9( f8( Y, Z ), f6( Z ) ) ) ]
% 0.45/1.08 ] .
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 percentage equality = 0.000000, percentage horn = 0.954545
% 0.45/1.08 This is a near-Horn, non-equality problem
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Options Used:
% 0.45/1.08
% 0.45/1.08 useres = 1
% 0.45/1.08 useparamod = 0
% 0.45/1.08 useeqrefl = 0
% 0.45/1.08 useeqfact = 0
% 0.45/1.08 usefactor = 1
% 0.45/1.08 usesimpsplitting = 0
% 0.45/1.08 usesimpdemod = 0
% 0.45/1.08 usesimpres = 4
% 0.45/1.08
% 0.45/1.08 resimpinuse = 1000
% 0.45/1.08 resimpclauses = 20000
% 0.45/1.08 substype = standard
% 0.45/1.08 backwardsubs = 1
% 0.45/1.08 selectoldest = 5
% 0.45/1.08
% 0.45/1.08 litorderings [0] = split
% 0.45/1.08 litorderings [1] = liftord
% 0.45/1.08
% 0.45/1.08 termordering = none
% 0.45/1.08
% 0.45/1.08 litapriori = 1
% 0.45/1.08 termapriori = 0
% 0.45/1.08 litaposteriori = 0
% 0.45/1.08 termaposteriori = 0
% 0.45/1.08 demodaposteriori = 0
% 0.45/1.08 ordereqreflfact = 0
% 0.45/1.08
% 0.45/1.08 litselect = negative
% 0.45/1.08
% 0.45/1.08 maxweight = 30000
% 0.45/1.08 maxdepth = 30000
% 0.45/1.08 maxlength = 115
% 0.45/1.08 maxnrvars = 195
% 0.45/1.08 excuselevel = 0
% 0.45/1.08 increasemaxweight = 0
% 0.45/1.08
% 0.45/1.08 maxselected = 10000000
% 0.45/1.08 maxnrclauses = 10000000
% 0.45/1.08
% 0.45/1.08 showgenerated = 0
% 0.45/1.08 showkept = 0
% 0.45/1.08 showselected = 0
% 0.45/1.08 showdeleted = 0
% 0.45/1.08 showresimp = 1
% 0.45/1.08 showstatus = 2000
% 0.45/1.08
% 0.45/1.08 prologoutput = 1
% 0.45/1.08 nrgoals = 5000000
% 0.45/1.08 totalproof = 1
% 0.45/1.08
% 0.45/1.08 Symbols occurring in the translation:
% 0.45/1.08
% 0.45/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.08 . [1, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.45/1.08 ! [4, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.45/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.08 p10 [40, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.45/1.08 p7 [42, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.45/1.08 p3 [44, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.45/1.08 p2 [46, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.45/1.08 c12 [47, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.45/1.08 c13 [48, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.45/1.08 p9 [49, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.45/1.08 c14 [50, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.45/1.08 c15 [51, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.45/1.08 p11 [52, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.45/1.08 f5 [54, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.45/1.08 f4 [55, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.45/1.08 f6 [57, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.45/1.08 f8 [83, 2] (w:1, o:88, a:1, s:1, b:0).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Starting Search:
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Bliksems!, er is een bewijs:
% 0.45/1.08 % SZS status Unsatisfiable
% 0.45/1.08 % SZS output start Refutation
% 0.45/1.08
% 0.45/1.08 clause( 1, [ p7( X, X ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 2, [ p3( X, X ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 3, [ p2( X, X ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 4, [ p9( c12, c13 ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 5, [ p11( c14, c15 ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 7, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 9, [ p9( X, f6( c14 ) ), ~( p9( X, c13 ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 15, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 18, [ ~( p9( Z, T ) ), ~( p3( T, Y ) ), p9( X, Y ), ~( p7( Z, X ) )
% 0.45/1.08 ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 20, [ ~( p11( Z, c15 ) ), p9( f8( X, Y ), X ), ~( p9( c12, X ) ),
% 0.45/1.08 p9( f8( X, Y ), f6( Y ) ), ~( p2( Y, f5( Z ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 21, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, Z ), Y ) ), ~( p9( c12, Y )
% 0.45/1.08 ), ~( p9( f8( Y, Z ), f6( Z ) ) ), ~( p2( Z, f5( X ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 24, [ p9( c12, f6( c14 ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 29, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 31, [ p3( f6( X ), f6( f5( X ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 45, [ ~( p9( X, Y ) ), p9( X, Z ), ~( p3( Y, Z ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 77, [ ~( p11( X, c15 ) ), p9( f8( Y, f5( X ) ), Y ), p9( f8( Y, f5(
% 0.45/1.08 X ) ), f6( f5( X ) ) ), ~( p9( c12, Y ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 78, [ ~( p11( X, c15 ) ), p9( f8( f6( f5( X ) ), f5( X ) ), f6( f5(
% 0.45/1.08 X ) ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 87, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, f5( X ) ), Y ) ), ~( p9( f8(
% 0.45/1.08 Y, f5( X ) ), f6( f5( X ) ) ) ), ~( p9( c12, Y ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 88, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 114, [ p9( X, f6( f5( Y ) ) ), ~( p9( X, f6( Y ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 118, [ p9( c12, f6( f5( c14 ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 120, [] )
% 0.45/1.08 .
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 % SZS output end Refutation
% 0.45/1.08 found a proof!
% 0.45/1.08
% 0.45/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.08
% 0.45/1.08 initialclauses(
% 0.45/1.08 [ clause( 122, [ p10( X, X ) ] )
% 0.45/1.08 , clause( 123, [ p7( X, X ) ] )
% 0.45/1.08 , clause( 124, [ p3( X, X ) ] )
% 0.45/1.08 , clause( 125, [ p2( X, X ) ] )
% 0.45/1.08 , clause( 126, [ p9( c12, c13 ) ] )
% 0.45/1.08 , clause( 127, [ p11( c14, c15 ) ] )
% 0.45/1.08 , clause( 128, [ p3( f4( f5( X ) ), f4( X ) ) ] )
% 0.45/1.08 , clause( 129, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.45/1.08 , clause( 130, [ p9( X, c13 ), ~( p9( X, f6( c14 ) ) ) ] )
% 0.45/1.08 , clause( 131, [ p9( X, f6( c14 ) ), ~( p9( X, c13 ) ) ] )
% 0.45/1.08 , clause( 132, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 0.45/1.08 , clause( 133, [ p3( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ] )
% 0.45/1.08 , clause( 134, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.45/1.08 , clause( 135, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.45/1.08 , clause( 136, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.45/1.08 , clause( 137, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.45/1.08 , clause( 138, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.45/1.08 , clause( 139, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T
% 0.45/1.08 , Y ) ) ] )
% 0.45/1.08 , clause( 140, [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p3( T, Y
% 0.45/1.08 ) ) ] )
% 0.45/1.08 , clause( 141, [ p7( f8( X, Y ), f8( Z, T ) ), ~( p2( Y, T ) ), ~( p3( X, Z
% 0.45/1.08 ) ) ] )
% 0.45/1.08 , clause( 142, [ p9( f8( X, Y ), X ), p9( f8( X, Y ), f6( Y ) ), ~( p11( Z
% 0.45/1.08 , c15 ) ), ~( p9( c12, X ) ), ~( p2( Y, f5( Z ) ) ) ] )
% 0.45/1.08 , clause( 143, [ ~( p11( X, c15 ) ), ~( p9( c12, Y ) ), ~( p2( Z, f5( X ) )
% 0.45/1.08 ), ~( p9( f8( Y, Z ), Y ) ), ~( p9( f8( Y, Z ), f6( Z ) ) ) ] )
% 0.45/1.08 ] ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 1, [ p7( X, X ) ] )
% 0.45/1.08 , clause( 123, [ p7( X, X ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 2, [ p3( X, X ) ] )
% 0.45/1.08 , clause( 124, [ p3( X, X ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 3, [ p2( X, X ) ] )
% 0.45/1.08 , clause( 125, [ p2( X, X ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 4, [ p9( c12, c13 ) ] )
% 0.45/1.08 , clause( 126, [ p9( c12, c13 ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 5, [ p11( c14, c15 ) ] )
% 0.45/1.08 , clause( 127, [ p11( c14, c15 ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 7, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.45/1.08 , clause( 129, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 9, [ p9( X, f6( c14 ) ), ~( p9( X, c13 ) ) ] )
% 0.45/1.08 , clause( 131, [ p9( X, f6( c14 ) ), ~( p9( X, c13 ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.08 1 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 15, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.45/1.08 , clause( 137, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 18, [ ~( p9( Z, T ) ), ~( p3( T, Y ) ), p9( X, Y ), ~( p7( Z, X ) )
% 0.45/1.08 ] )
% 0.45/1.08 , clause( 140, [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p3( T, Y
% 0.45/1.08 ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.08 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 1 )] )
% 0.45/1.08 ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 20, [ ~( p11( Z, c15 ) ), p9( f8( X, Y ), X ), ~( p9( c12, X ) ),
% 0.45/1.08 p9( f8( X, Y ), f6( Y ) ), ~( p2( Y, f5( Z ) ) ) ] )
% 0.45/1.08 , clause( 142, [ p9( f8( X, Y ), X ), p9( f8( X, Y ), f6( Y ) ), ~( p11( Z
% 0.45/1.08 , c15 ) ), ~( p9( c12, X ) ), ~( p2( Y, f5( Z ) ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 2 ),
% 0.45/1.08 ==>( 4, 4 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 21, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, Z ), Y ) ), ~( p9( c12, Y )
% 0.45/1.08 ), ~( p9( f8( Y, Z ), f6( Z ) ) ), ~( p2( Z, f5( X ) ) ) ] )
% 0.45/1.08 , clause( 143, [ ~( p11( X, c15 ) ), ~( p9( c12, Y ) ), ~( p2( Z, f5( X ) )
% 0.45/1.08 ), ~( p9( f8( Y, Z ), Y ) ), ~( p9( f8( Y, Z ), f6( Z ) ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 4 ), ==>( 3, 1 ),
% 0.45/1.08 ==>( 4, 3 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 162, [ p9( c12, f6( c14 ) ) ] )
% 0.45/1.08 , clause( 9, [ p9( X, f6( c14 ) ), ~( p9( X, c13 ) ) ] )
% 0.45/1.08 , 1, clause( 4, [ p9( c12, c13 ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, c12 )] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 24, [ p9( c12, f6( c14 ) ) ] )
% 0.45/1.08 , clause( 162, [ p9( c12, f6( c14 ) ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 164, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.45/1.08 , clause( 15, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.45/1.08 , 2, clause( 2, [ p3( X, X ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.45/1.08 substitution( 1, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 29, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.45/1.08 , clause( 164, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.08 ), ==>( 1, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 165, [ p3( f6( X ), f6( f5( X ) ) ) ] )
% 0.45/1.08 , clause( 29, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.45/1.08 , 1, clause( 7, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, f6( f5( X ) ) ), :=( Y, f6( X ) )] ),
% 0.45/1.08 substitution( 1, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 31, [ p3( f6( X ), f6( f5( X ) ) ) ] )
% 0.45/1.08 , clause( 165, [ p3( f6( X ), f6( f5( X ) ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 166, [ ~( p9( X, Y ) ), ~( p3( Y, Z ) ), p9( X, Z ) ] )
% 0.45/1.08 , clause( 18, [ ~( p9( Z, T ) ), ~( p3( T, Y ) ), p9( X, Y ), ~( p7( Z, X )
% 0.45/1.08 ) ] )
% 0.45/1.08 , 3, clause( 1, [ p7( X, X ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ),
% 0.45/1.08 substitution( 1, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 45, [ ~( p9( X, Y ) ), p9( X, Z ), ~( p3( Y, Z ) ) ] )
% 0.45/1.08 , clause( 166, [ ~( p9( X, Y ) ), ~( p3( Y, Z ) ), p9( X, Z ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 167, [ ~( p11( X, c15 ) ), p9( f8( Y, f5( X ) ), Y ), ~( p9( c12, Y
% 0.45/1.08 ) ), p9( f8( Y, f5( X ) ), f6( f5( X ) ) ) ] )
% 0.45/1.08 , clause( 20, [ ~( p11( Z, c15 ) ), p9( f8( X, Y ), X ), ~( p9( c12, X ) )
% 0.45/1.08 , p9( f8( X, Y ), f6( Y ) ), ~( p2( Y, f5( Z ) ) ) ] )
% 0.45/1.08 , 4, clause( 3, [ p2( X, X ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, f5( X ) ), :=( Z, X )] ),
% 0.45/1.08 substitution( 1, [ :=( X, f5( X ) )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 77, [ ~( p11( X, c15 ) ), p9( f8( Y, f5( X ) ), Y ), p9( f8( Y, f5(
% 0.45/1.08 X ) ), f6( f5( X ) ) ), ~( p9( c12, Y ) ) ] )
% 0.45/1.08 , clause( 167, [ ~( p11( X, c15 ) ), p9( f8( Y, f5( X ) ), Y ), ~( p9( c12
% 0.45/1.08 , Y ) ), p9( f8( Y, f5( X ) ), f6( f5( X ) ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.08 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 factor(
% 0.45/1.08 clause( 169, [ ~( p11( X, c15 ) ), p9( f8( f6( f5( X ) ), f5( X ) ), f6( f5(
% 0.45/1.08 X ) ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , clause( 77, [ ~( p11( X, c15 ) ), p9( f8( Y, f5( X ) ), Y ), p9( f8( Y,
% 0.45/1.08 f5( X ) ), f6( f5( X ) ) ), ~( p9( c12, Y ) ) ] )
% 0.45/1.08 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, f6( f5( X ) ) )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 78, [ ~( p11( X, c15 ) ), p9( f8( f6( f5( X ) ), f5( X ) ), f6( f5(
% 0.45/1.08 X ) ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , clause( 169, [ ~( p11( X, c15 ) ), p9( f8( f6( f5( X ) ), f5( X ) ), f6(
% 0.45/1.08 f5( X ) ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.08 1 ), ==>( 2, 2 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 170, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, f5( X ) ), Y ) ), ~( p9(
% 0.45/1.08 c12, Y ) ), ~( p9( f8( Y, f5( X ) ), f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , clause( 21, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, Z ), Y ) ), ~( p9( c12, Y
% 0.45/1.08 ) ), ~( p9( f8( Y, Z ), f6( Z ) ) ), ~( p2( Z, f5( X ) ) ) ] )
% 0.45/1.08 , 4, clause( 3, [ p2( X, X ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, f5( X ) )] ),
% 0.45/1.08 substitution( 1, [ :=( X, f5( X ) )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 87, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, f5( X ) ), Y ) ), ~( p9( f8(
% 0.45/1.08 Y, f5( X ) ), f6( f5( X ) ) ) ), ~( p9( c12, Y ) ) ] )
% 0.45/1.08 , clause( 170, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, f5( X ) ), Y ) ), ~( p9(
% 0.45/1.08 c12, Y ) ), ~( p9( f8( Y, f5( X ) ), f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.08 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 factor(
% 0.45/1.08 clause( 172, [ ~( p11( X, c15 ) ), ~( p9( f8( f6( f5( X ) ), f5( X ) ), f6(
% 0.45/1.08 f5( X ) ) ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , clause( 87, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, f5( X ) ), Y ) ), ~( p9(
% 0.45/1.08 f8( Y, f5( X ) ), f6( f5( X ) ) ) ), ~( p9( c12, Y ) ) ] )
% 0.45/1.08 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, f6( f5( X ) ) )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 173, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ), ~( p11( X
% 0.45/1.08 , c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , clause( 172, [ ~( p11( X, c15 ) ), ~( p9( f8( f6( f5( X ) ), f5( X ) ),
% 0.45/1.08 f6( f5( X ) ) ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , 1, clause( 78, [ ~( p11( X, c15 ) ), p9( f8( f6( f5( X ) ), f5( X ) ), f6(
% 0.45/1.08 f5( X ) ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.08 ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 factor(
% 0.45/1.08 clause( 175, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ), ~( p11( X
% 0.45/1.08 , c15 ) ) ] )
% 0.45/1.08 , clause( 173, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ), ~( p11(
% 0.45/1.08 X, c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 factor(
% 0.45/1.08 clause( 176, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , clause( 175, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ), ~( p11(
% 0.45/1.08 X, c15 ) ) ] )
% 0.45/1.08 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 88, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , clause( 176, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.08 1 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 177, [ ~( p9( X, f6( Y ) ) ), p9( X, f6( f5( Y ) ) ) ] )
% 0.45/1.08 , clause( 45, [ ~( p9( X, Y ) ), p9( X, Z ), ~( p3( Y, Z ) ) ] )
% 0.45/1.08 , 2, clause( 31, [ p3( f6( X ), f6( f5( X ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, f6( Y ) ), :=( Z, f6( f5( Y ) )
% 0.45/1.08 )] ), substitution( 1, [ :=( X, Y )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 114, [ p9( X, f6( f5( Y ) ) ), ~( p9( X, f6( Y ) ) ) ] )
% 0.45/1.08 , clause( 177, [ ~( p9( X, f6( Y ) ) ), p9( X, f6( f5( Y ) ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.08 ), ==>( 1, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 178, [ p9( c12, f6( f5( c14 ) ) ) ] )
% 0.45/1.08 , clause( 114, [ p9( X, f6( f5( Y ) ) ), ~( p9( X, f6( Y ) ) ) ] )
% 0.45/1.08 , 1, clause( 24, [ p9( c12, f6( c14 ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, c12 ), :=( Y, c14 )] ), substitution( 1, [] )
% 0.45/1.08 ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 118, [ p9( c12, f6( f5( c14 ) ) ) ] )
% 0.45/1.08 , clause( 178, [ p9( c12, f6( f5( c14 ) ) ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 179, [ ~( p11( c14, c15 ) ) ] )
% 0.45/1.08 , clause( 88, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( f5( X ) ) ) ) ] )
% 0.45/1.08 , 1, clause( 118, [ p9( c12, f6( f5( c14 ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, c14 )] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 resolution(
% 0.45/1.08 clause( 180, [] )
% 0.45/1.08 , clause( 179, [ ~( p11( c14, c15 ) ) ] )
% 0.45/1.08 , 0, clause( 5, [ p11( c14, c15 ) ] )
% 0.45/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 120, [] )
% 0.45/1.08 , clause( 180, [] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 end.
% 0.45/1.08
% 0.45/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.08
% 0.45/1.08 Memory use:
% 0.45/1.08
% 0.45/1.08 space for terms: 1976
% 0.45/1.08 space for clauses: 7902
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 clauses generated: 177
% 0.45/1.08 clauses kept: 121
% 0.45/1.08 clauses selected: 54
% 0.45/1.08 clauses deleted: 0
% 0.45/1.08 clauses inuse deleted: 0
% 0.45/1.08
% 0.45/1.08 subsentry: 161
% 0.45/1.08 literals s-matched: 119
% 0.45/1.08 literals matched: 119
% 0.45/1.08 full subsumption: 0
% 0.45/1.08
% 0.45/1.08 checksum: -1929717321
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Bliksem ended
%------------------------------------------------------------------------------