TSTP Solution File: SYN554-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN554-1 : TPTP v8.1.0. Released v2.5.0.
% 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 02:52:55 EDT 2022
% Result : Unsatisfiable 0.69s 1.12s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN554-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Mon Jul 11 20:28:12 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.69/1.12 *** allocated 10000 integers for termspace/termends
% 0.69/1.12 *** allocated 10000 integers for clauses
% 0.69/1.12 *** allocated 10000 integers for justifications
% 0.69/1.12 Bliksem 1.12
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Automatic Strategy Selection
% 0.69/1.12
% 0.69/1.12 Clauses:
% 0.69/1.12 [
% 0.69/1.12 [ p2( X, X ) ],
% 0.69/1.12 [ ~( p4( X, X ) ) ],
% 0.69/1.12 [ ~( p2( c6, c7 ) ) ],
% 0.69/1.12 [ p2( f3( c5, c6 ), f3( c5, c7 ) ) ],
% 0.69/1.12 [ p2( X, Y ), p4( X, Y ), p4( Y, X ) ],
% 0.69/1.12 [ p2( X, Y ), ~( p2( Z, Y ) ), ~( p2( Z, X ) ) ],
% 0.69/1.12 [ p4( f3( c5, X ), f3( c5, Y ) ), ~( p4( X, Y ) ) ],
% 0.69/1.12 [ p4( X, Y ), ~( p2( Z, Y ) ), ~( p4( T, Z ) ), ~( p2( T, X ) ) ],
% 0.69/1.12 [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.69/1.12 ] .
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 percentage equality = 0.000000, percentage horn = 0.888889
% 0.69/1.12 This a non-horn, non-equality problem
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Options Used:
% 0.69/1.12
% 0.69/1.12 useres = 1
% 0.69/1.12 useparamod = 0
% 0.69/1.12 useeqrefl = 0
% 0.69/1.12 useeqfact = 0
% 0.69/1.12 usefactor = 1
% 0.69/1.12 usesimpsplitting = 0
% 0.69/1.12 usesimpdemod = 0
% 0.69/1.12 usesimpres = 3
% 0.69/1.12
% 0.69/1.12 resimpinuse = 1000
% 0.69/1.12 resimpclauses = 20000
% 0.69/1.12 substype = standard
% 0.69/1.12 backwardsubs = 1
% 0.69/1.12 selectoldest = 5
% 0.69/1.12
% 0.69/1.12 litorderings [0] = split
% 0.69/1.12 litorderings [1] = liftord
% 0.69/1.12
% 0.69/1.12 termordering = none
% 0.69/1.12
% 0.69/1.12 litapriori = 1
% 0.69/1.12 termapriori = 0
% 0.69/1.12 litaposteriori = 0
% 0.69/1.12 termaposteriori = 0
% 0.69/1.12 demodaposteriori = 0
% 0.69/1.12 ordereqreflfact = 0
% 0.69/1.12
% 0.69/1.12 litselect = none
% 0.69/1.12
% 0.69/1.12 maxweight = 15
% 0.69/1.12 maxdepth = 30000
% 0.69/1.12 maxlength = 115
% 0.69/1.12 maxnrvars = 195
% 0.69/1.12 excuselevel = 1
% 0.69/1.12 increasemaxweight = 1
% 0.69/1.12
% 0.69/1.12 maxselected = 10000000
% 0.69/1.12 maxnrclauses = 10000000
% 0.69/1.12
% 0.69/1.12 showgenerated = 0
% 0.69/1.12 showkept = 0
% 0.69/1.12 showselected = 0
% 0.69/1.12 showdeleted = 0
% 0.69/1.12 showresimp = 1
% 0.69/1.12 showstatus = 2000
% 0.69/1.12
% 0.69/1.12 prologoutput = 1
% 0.69/1.12 nrgoals = 5000000
% 0.69/1.12 totalproof = 1
% 0.69/1.12
% 0.69/1.12 Symbols occurring in the translation:
% 0.69/1.12
% 0.69/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.12 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.69/1.12 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.69/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.12 p2 [40, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.69/1.12 p4 [42, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.69/1.12 c6 [43, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.12 c7 [44, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.12 c5 [45, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.69/1.12 f3 [46, 2] (w:1, o:60, a:1, s:1, b:0).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Starting Search:
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Bliksems!, er is een bewijs:
% 0.69/1.12 % SZS status Unsatisfiable
% 0.69/1.12 % SZS output start Refutation
% 0.69/1.12
% 0.69/1.12 clause( 0, [ p2( X, X ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 1, [ ~( p4( X, X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 2, [ ~( p2( c6, c7 ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 3, [ p2( f3( c5, c6 ), f3( c5, c7 ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 4, [ p2( X, Y ), p4( Y, X ), p4( X, Y ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 5, [ ~( p2( Z, Y ) ), ~( p2( Z, X ) ), p2( X, Y ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 6, [ ~( p4( X, Y ) ), p4( f3( c5, X ), f3( c5, Y ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 7, [ ~( p2( Z, Y ) ), ~( p2( T, X ) ), p4( X, Y ), ~( p4( T, Z ) )
% 0.69/1.12 ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 15, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 18, [ p2( f3( c5, c7 ), f3( c5, c6 ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 48, [ ~( p2( X, Y ) ), ~( p2( Z, Y ) ), ~( p4( Z, X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 55, [ ~( p2( X, Y ) ), ~( p2( Z, Y ) ), ~( p2( T, X ) ), ~( p2( U,
% 0.69/1.12 Z ) ), ~( p4( U, T ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 58, [ ~( p2( Y, X ) ), ~( p2( Z, Y ) ), ~( p4( Z, Y ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 63, [ ~( p2( X, Y ) ), ~( p2( Z, X ) ), ~( p2( T, X ) ), ~( p2( U,
% 0.69/1.12 Z ) ), ~( p4( U, T ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 65, [ ~( p2( Y, X ) ), ~( p2( Z, X ) ), ~( p4( X, Z ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 66, [ ~( p2( X, Y ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 67, [ ~( p2( X, Y ) ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p4( T,
% 0.69/1.12 Z ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 68, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 69, [ ~( p2( Y, X ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 95, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p4( X, Y ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 313, [ p2( Y, X ), ~( p2( f3( c5, X ), f3( c5, Y ) ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 355, [] )
% 0.69/1.12 .
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 % SZS output end Refutation
% 0.69/1.12 found a proof!
% 0.69/1.12
% 0.69/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.12
% 0.69/1.12 initialclauses(
% 0.69/1.12 [ clause( 357, [ p2( X, X ) ] )
% 0.69/1.12 , clause( 358, [ ~( p4( X, X ) ) ] )
% 0.69/1.12 , clause( 359, [ ~( p2( c6, c7 ) ) ] )
% 0.69/1.12 , clause( 360, [ p2( f3( c5, c6 ), f3( c5, c7 ) ) ] )
% 0.69/1.12 , clause( 361, [ p2( X, Y ), p4( X, Y ), p4( Y, X ) ] )
% 0.69/1.12 , clause( 362, [ p2( X, Y ), ~( p2( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.69/1.12 , clause( 363, [ p4( f3( c5, X ), f3( c5, Y ) ), ~( p4( X, Y ) ) ] )
% 0.69/1.12 , clause( 364, [ p4( X, Y ), ~( p2( Z, Y ) ), ~( p4( T, Z ) ), ~( p2( T, X
% 0.69/1.12 ) ) ] )
% 0.69/1.12 , clause( 365, [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T
% 0.69/1.12 ) ) ] )
% 0.69/1.12 ] ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 0, [ p2( X, X ) ] )
% 0.69/1.12 , clause( 357, [ p2( X, X ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 1, [ ~( p4( X, X ) ) ] )
% 0.69/1.12 , clause( 358, [ ~( p4( X, X ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 2, [ ~( p2( c6, c7 ) ) ] )
% 0.69/1.12 , clause( 359, [ ~( p2( c6, c7 ) ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 3, [ p2( f3( c5, c6 ), f3( c5, c7 ) ) ] )
% 0.69/1.12 , clause( 360, [ p2( f3( c5, c6 ), f3( c5, c7 ) ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 4, [ p2( X, Y ), p4( Y, X ), p4( X, Y ) ] )
% 0.69/1.12 , clause( 361, [ p2( X, Y ), p4( X, Y ), p4( Y, X ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.12 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 5, [ ~( p2( Z, Y ) ), ~( p2( Z, X ) ), p2( X, Y ) ] )
% 0.69/1.12 , clause( 362, [ p2( X, Y ), ~( p2( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 6, [ ~( p4( X, Y ) ), p4( f3( c5, X ), f3( c5, Y ) ) ] )
% 0.69/1.12 , clause( 363, [ p4( f3( c5, X ), f3( c5, Y ) ), ~( p4( X, Y ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.69/1.12 ), ==>( 1, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 7, [ ~( p2( Z, Y ) ), ~( p2( T, X ) ), p4( X, Y ), ~( p4( T, Z ) )
% 0.69/1.12 ] )
% 0.69/1.12 , clause( 364, [ p4( X, Y ), ~( p2( Z, Y ) ), ~( p4( T, Z ) ), ~( p2( T, X
% 0.69/1.12 ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 3 ), ==>( 3, 1 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 374, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.69/1.12 , clause( 5, [ ~( p2( Z, Y ) ), ~( p2( Z, X ) ), p2( X, Y ) ] )
% 0.69/1.12 , 0, clause( 0, [ p2( X, X ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.69/1.12 substitution( 1, [ :=( X, X )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 15, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.69/1.12 , clause( 374, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.69/1.12 ), ==>( 1, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 376, [ p2( f3( c5, c7 ), f3( c5, c6 ) ) ] )
% 0.69/1.12 , clause( 15, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.69/1.12 , 1, clause( 3, [ p2( f3( c5, c6 ), f3( c5, c7 ) ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, f3( c5, c6 ) ), :=( Y, f3( c5, c7 ) )] ),
% 0.69/1.12 substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 18, [ p2( f3( c5, c7 ), f3( c5, c6 ) ) ] )
% 0.69/1.12 , clause( 376, [ p2( f3( c5, c7 ), f3( c5, c6 ) ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 377, [ ~( p2( Y, X ) ), ~( p2( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.69/1.12 , clause( 1, [ ~( p4( X, X ) ) ] )
% 0.69/1.12 , 0, clause( 7, [ ~( p2( Z, Y ) ), ~( p2( T, X ) ), p4( X, Y ), ~( p4( T, Z
% 0.69/1.12 ) ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.69/1.12 , X ), :=( Z, Y ), :=( T, Z )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 48, [ ~( p2( X, Y ) ), ~( p2( Z, Y ) ), ~( p4( Z, X ) ) ] )
% 0.69/1.12 , clause( 377, [ ~( p2( Y, X ) ), ~( p2( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.69/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 379, [ ~( p2( X, Y ) ), ~( p2( Z, Y ) ), ~( p2( T, X ) ), ~( p2( U
% 0.69/1.12 , Z ) ), ~( p4( U, T ) ) ] )
% 0.69/1.12 , clause( 48, [ ~( p2( X, Y ) ), ~( p2( Z, Y ) ), ~( p4( Z, X ) ) ] )
% 0.69/1.12 , 2, clause( 7, [ ~( p2( Z, Y ) ), ~( p2( T, X ) ), p4( X, Y ), ~( p4( T, Z
% 0.69/1.12 ) ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.12 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, U )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 55, [ ~( p2( X, Y ) ), ~( p2( Z, Y ) ), ~( p2( T, X ) ), ~( p2( U,
% 0.69/1.12 Z ) ), ~( p4( U, T ) ) ] )
% 0.69/1.12 , clause( 379, [ ~( p2( X, Y ) ), ~( p2( Z, Y ) ), ~( p2( T, X ) ), ~( p2(
% 0.69/1.12 U, Z ) ), ~( p4( U, T ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.69/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 0.69/1.12 , 3 ), ==>( 4, 4 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 392, [ ~( p2( X, X ) ), ~( p2( Y, X ) ), ~( p2( Z, Y ) ), ~( p4( Z
% 0.69/1.12 , Y ) ) ] )
% 0.69/1.12 , clause( 55, [ ~( p2( X, Y ) ), ~( p2( Z, Y ) ), ~( p2( T, X ) ), ~( p2( U
% 0.69/1.12 , Z ) ), ~( p4( U, T ) ) ] )
% 0.69/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Y ),
% 0.69/1.12 :=( U, Z )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 403, [ ~( p2( Y, X ) ), ~( p2( Z, Y ) ), ~( p4( Z, Y ) ) ] )
% 0.69/1.12 , clause( 392, [ ~( p2( X, X ) ), ~( p2( Y, X ) ), ~( p2( Z, Y ) ), ~( p4(
% 0.69/1.12 Z, Y ) ) ] )
% 0.69/1.12 , 0, clause( 0, [ p2( X, X ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.12 substitution( 1, [ :=( X, X )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 58, [ ~( p2( Y, X ) ), ~( p2( Z, Y ) ), ~( p4( Z, Y ) ) ] )
% 0.69/1.12 , clause( 403, [ ~( p2( Y, X ) ), ~( p2( Z, Y ) ), ~( p4( Z, Y ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 405, [ ~( p2( X, Y ) ), ~( p2( Z, X ) ), ~( p2( T, X ) ), ~( p2( U
% 0.69/1.12 , Z ) ), ~( p4( U, T ) ) ] )
% 0.69/1.12 , clause( 58, [ ~( p2( Y, X ) ), ~( p2( Z, Y ) ), ~( p4( Z, Y ) ) ] )
% 0.69/1.12 , 2, clause( 7, [ ~( p2( Z, Y ) ), ~( p2( T, X ) ), p4( X, Y ), ~( p4( T, Z
% 0.69/1.12 ) ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.69/1.12 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, U )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 63, [ ~( p2( X, Y ) ), ~( p2( Z, X ) ), ~( p2( T, X ) ), ~( p2( U,
% 0.69/1.12 Z ) ), ~( p4( U, T ) ) ] )
% 0.69/1.12 , clause( 405, [ ~( p2( X, Y ) ), ~( p2( Z, X ) ), ~( p2( T, X ) ), ~( p2(
% 0.69/1.12 U, Z ) ), ~( p4( U, T ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.69/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 0.69/1.12 , 3 ), ==>( 4, 4 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 417, [ ~( p2( X, Y ) ), ~( p2( Y, X ) ), ~( p2( Z, X ) ), ~( p4( X
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , clause( 63, [ ~( p2( X, Y ) ), ~( p2( Z, X ) ), ~( p2( T, X ) ), ~( p2( U
% 0.69/1.12 , Z ) ), ~( p4( U, T ) ) ] )
% 0.69/1.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ),
% 0.69/1.12 :=( U, X )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 446, [ ~( p2( Y, X ) ), ~( p2( Z, X ) ), ~( p4( X, Z ) ), ~( p2( Y
% 0.69/1.12 , X ) ) ] )
% 0.69/1.12 , clause( 417, [ ~( p2( X, Y ) ), ~( p2( Y, X ) ), ~( p2( Z, X ) ), ~( p4(
% 0.69/1.12 X, Z ) ) ] )
% 0.69/1.12 , 0, clause( 15, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.12 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 448, [ ~( p2( X, Y ) ), ~( p4( Y, X ) ), ~( p2( X, Y ) ) ] )
% 0.69/1.12 , clause( 446, [ ~( p2( Y, X ) ), ~( p2( Z, X ) ), ~( p4( X, Z ) ), ~( p2(
% 0.69/1.12 Y, X ) ) ] )
% 0.69/1.12 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 65, [ ~( p2( Y, X ) ), ~( p2( Z, X ) ), ~( p4( X, Z ) ) ] )
% 0.69/1.12 , clause( 448, [ ~( p2( X, Y ) ), ~( p4( Y, X ) ), ~( p2( X, Y ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.69/1.12 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 451, [ ~( p2( X, Y ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , clause( 65, [ ~( p2( Y, X ) ), ~( p2( Z, X ) ), ~( p4( X, Z ) ) ] )
% 0.69/1.12 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 66, [ ~( p2( X, Y ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , clause( 451, [ ~( p2( X, Y ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.12 ), ==>( 1, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 452, [ ~( p2( X, Y ) ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p4( T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , clause( 66, [ ~( p2( X, Y ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , 1, clause( 7, [ ~( p2( Z, Y ) ), ~( p2( T, X ) ), p4( X, Y ), ~( p4( T, Z
% 0.69/1.12 ) ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.69/1.12 , Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 67, [ ~( p2( X, Y ) ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p4( T,
% 0.69/1.12 Z ) ) ] )
% 0.69/1.12 , clause( 452, [ ~( p2( X, Y ) ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p4(
% 0.69/1.12 T, Z ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 457, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , clause( 66, [ ~( p2( X, Y ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , 1, clause( 6, [ ~( p4( X, Y ) ), p4( f3( c5, X ), f3( c5, Y ) ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, f3( c5, X ) ), :=( Y, f3( c5, Y ) )] ),
% 0.69/1.12 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 68, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , clause( 457, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.12 ), ==>( 1, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 458, [ ~( p2( X, X ) ), ~( p2( Y, X ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , clause( 67, [ ~( p2( X, Y ) ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p4( T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 462, [ ~( p2( Y, X ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , clause( 458, [ ~( p2( X, X ) ), ~( p2( Y, X ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , 0, clause( 0, [ p2( X, X ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.69/1.12 , X )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 69, [ ~( p2( Y, X ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , clause( 462, [ ~( p2( Y, X ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.12 ), ==>( 1, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 463, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p4( X, Y ) ) ] )
% 0.69/1.12 , clause( 69, [ ~( p2( Y, X ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.12 , 1, clause( 6, [ ~( p4( X, Y ) ), p4( f3( c5, X ), f3( c5, Y ) ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, f3( c5, Y ) ), :=( Y, f3( c5, X ) )] ),
% 0.69/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 95, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p4( X, Y ) ) ] )
% 0.69/1.12 , clause( 463, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p4( X, Y ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.12 ), ==>( 1, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 465, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), p2( Y, X ), p4( Y, X )
% 0.69/1.13 ] )
% 0.69/1.13 , clause( 95, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p4( X, Y ) ) ] )
% 0.69/1.13 , 1, clause( 4, [ p2( X, Y ), p4( Y, X ), p4( X, Y ) ] )
% 0.69/1.13 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.69/1.13 , Y ), :=( Y, X )] )).
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 resolution(
% 0.69/1.13 clause( 471, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p2( f3( c5, X ), f3(
% 0.69/1.13 c5, Y ) ) ), p2( Y, X ) ] )
% 0.69/1.13 , clause( 68, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p4( Y, X ) ) ] )
% 0.69/1.13 , 1, clause( 465, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), p2( Y, X ), p4( Y
% 0.69/1.13 , X ) ] )
% 0.69/1.13 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.69/1.13 , X ), :=( Y, Y )] )).
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 factor(
% 0.69/1.13 clause( 472, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), p2( Y, X ) ] )
% 0.69/1.13 , clause( 471, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), ~( p2( f3( c5, X ),
% 0.69/1.13 f3( c5, Y ) ) ), p2( Y, X ) ] )
% 0.69/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 subsumption(
% 0.69/1.13 clause( 313, [ p2( Y, X ), ~( p2( f3( c5, X ), f3( c5, Y ) ) ) ] )
% 0.69/1.13 , clause( 472, [ ~( p2( f3( c5, X ), f3( c5, Y ) ) ), p2( Y, X ) ] )
% 0.69/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.69/1.13 ), ==>( 1, 0 )] ) ).
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 resolution(
% 0.69/1.13 clause( 473, [ p2( c6, c7 ) ] )
% 0.69/1.13 , clause( 313, [ p2( Y, X ), ~( p2( f3( c5, X ), f3( c5, Y ) ) ) ] )
% 0.69/1.13 , 1, clause( 18, [ p2( f3( c5, c7 ), f3( c5, c6 ) ) ] )
% 0.69/1.13 , 0, substitution( 0, [ :=( X, c7 ), :=( Y, c6 )] ), substitution( 1, [] )
% 0.69/1.13 ).
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 resolution(
% 0.69/1.13 clause( 474, [] )
% 0.69/1.13 , clause( 2, [ ~( p2( c6, c7 ) ) ] )
% 0.69/1.13 , 0, clause( 473, [ p2( c6, c7 ) ] )
% 0.69/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 subsumption(
% 0.69/1.13 clause( 355, [] )
% 0.69/1.13 , clause( 474, [] )
% 0.69/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 end.
% 0.69/1.13
% 0.69/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.13
% 0.69/1.13 Memory use:
% 0.69/1.13
% 0.69/1.13 space for terms: 5504
% 0.69/1.13 space for clauses: 15783
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 clauses generated: 1424
% 0.69/1.13 clauses kept: 356
% 0.69/1.13 clauses selected: 44
% 0.69/1.13 clauses deleted: 4
% 0.69/1.13 clauses inuse deleted: 0
% 0.69/1.13
% 0.69/1.13 subsentry: 15796
% 0.69/1.13 literals s-matched: 6860
% 0.69/1.13 literals matched: 6814
% 0.69/1.13 full subsumption: 5597
% 0.69/1.13
% 0.69/1.13 checksum: 22024822
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Bliksem ended
%------------------------------------------------------------------------------