%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LDA001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 : Sun Jul 17 16:41:33 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
% 0.07/0.12 % Problem : LDA001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n022.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 May 30 02:08:07 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 [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ],
% 0.45/1.08 [ =( n2, f( n1, n1 ) ) ],
% 0.45/1.08 [ =( n3, f( n2, n1 ) ) ],
% 0.45/1.08 [ =( u, f( n2, n2 ) ) ],
% 0.45/1.08 [ ~( =( f( f( n3, n2 ), u ), f( f( u, u ), u ) ) ) ]
% 0.45/1.08 ] .
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.45/1.08 This is a pure equality problem
% 0.45/1.08
% 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 = 1
% 0.45/1.08 useeqrefl = 1
% 0.45/1.08 useeqfact = 1
% 0.45/1.08 usefactor = 1
% 0.45/1.08 usesimpsplitting = 0
% 0.45/1.08 usesimpdemod = 5
% 0.45/1.08 usesimpres = 3
% 0.45/1.08
% 0.45/1.08 resimpinuse = 1000
% 0.45/1.08 resimpclauses = 20000
% 0.45/1.08 substype = eqrewr
% 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] = extend the termordering, first sorting on arguments
% 0.45/1.08
% 0.45/1.08 termordering = kbo
% 0.45/1.08
% 0.45/1.08 litapriori = 0
% 0.45/1.08 termapriori = 1
% 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 = negord
% 0.45/1.08
% 0.45/1.08 maxweight = 15
% 0.45/1.08 maxdepth = 30000
% 0.45/1.08 maxlength = 115
% 0.45/1.08 maxnrvars = 195
% 0.45/1.08 excuselevel = 1
% 0.45/1.08 increasemaxweight = 1
% 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:21, a:1, s:1, b:0),
% 0.45/1.08 ! [4, 1] (w:0, o:16, 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 f [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.45/1.08 n2 [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.45/1.08 n1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.45/1.08 n3 [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.45/1.08 u [46, 0] (w:1, o:15, 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( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 1, [ =( f( n1, n1 ), n2 ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 2, [ =( f( n2, n1 ), n3 ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 3, [ =( f( n2, n2 ), u ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 4, [ ~( =( f( f( u, u ), u ), f( f( n3, n2 ), u ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 7, [ =( f( n2, f( n1, X ) ), f( n1, f( n1, X ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 8, [ =( f( n1, f( X, n1 ) ), f( f( n1, X ), n2 ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 9, [ =( f( n3, f( n2, X ) ), f( n1, f( n1, X ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 13, [ =( f( n1, n2 ), u ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 15, [ =( f( n1, f( n2, X ) ), f( u, f( n1, X ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 16, [ =( f( n1, f( X, n2 ) ), f( f( n1, X ), u ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 22, [ =( f( n1, n3 ), f( u, n2 ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 23, [ =( f( u, u ), f( n1, u ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 28, [ ~( =( f( f( n1, u ), u ), f( f( n3, n2 ), u ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 32, [ =( f( n3, n3 ), u ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 35, [ =( f( n3, f( X, n3 ) ), f( f( n3, X ), u ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 39, [ =( f( f( n1, u ), u ), f( f( n3, n2 ), u ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 49, [] )
% 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( 51, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , clause( 52, [ =( n2, f( n1, n1 ) ) ] )
% 0.45/1.08 , clause( 53, [ =( n3, f( n2, n1 ) ) ] )
% 0.45/1.08 , clause( 54, [ =( u, f( n2, n2 ) ) ] )
% 0.45/1.08 , clause( 55, [ ~( =( f( f( n3, n2 ), u ), f( f( u, u ), u ) ) ) ] )
% 0.45/1.08 ] ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 56, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.45/1.08 , clause( 51, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.45/1.08 , clause( 56, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 58, [ =( f( n1, n1 ), n2 ) ] )
% 0.45/1.08 , clause( 52, [ =( n2, f( n1, n1 ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 1, [ =( f( n1, n1 ), n2 ) ] )
% 0.45/1.08 , clause( 58, [ =( f( n1, n1 ), n2 ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 61, [ =( f( n2, n1 ), n3 ) ] )
% 0.45/1.08 , clause( 53, [ =( n3, f( n2, n1 ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 2, [ =( f( n2, n1 ), n3 ) ] )
% 0.45/1.08 , clause( 61, [ =( f( n2, n1 ), n3 ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 65, [ =( f( n2, n2 ), u ) ] )
% 0.45/1.08 , clause( 54, [ =( u, f( n2, n2 ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 3, [ =( f( n2, n2 ), u ) ] )
% 0.45/1.08 , clause( 65, [ =( f( n2, n2 ), u ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 70, [ ~( =( f( f( u, u ), u ), f( f( n3, n2 ), u ) ) ) ] )
% 0.45/1.08 , clause( 55, [ ~( =( f( f( n3, n2 ), u ), f( f( u, u ), u ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 4, [ ~( =( f( f( u, u ), u ), f( f( n3, n2 ), u ) ) ) ] )
% 0.45/1.08 , clause( 70, [ ~( =( f( f( u, u ), u ), f( f( n3, n2 ), u ) ) ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 72, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 74, [ =( f( n1, f( n1, X ) ), f( n2, f( n1, X ) ) ) ] )
% 0.45/1.08 , clause( 1, [ =( f( n1, n1 ), n2 ) ] )
% 0.45/1.08 , 0, clause( 72, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, n1 ), :=( Y, n1 )
% 0.45/1.08 , :=( Z, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 77, [ =( f( n2, f( n1, X ) ), f( n1, f( n1, X ) ) ) ] )
% 0.45/1.08 , clause( 74, [ =( f( n1, f( n1, X ) ), f( n2, f( n1, X ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 7, [ =( f( n2, f( n1, X ) ), f( n1, f( n1, X ) ) ) ] )
% 0.45/1.08 , clause( 77, [ =( f( n2, f( n1, X ) ), f( n1, f( n1, 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 eqswap(
% 0.45/1.08 clause( 80, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 83, [ =( f( n1, f( X, n1 ) ), f( f( n1, X ), n2 ) ) ] )
% 0.45/1.08 , clause( 1, [ =( f( n1, n1 ), n2 ) ] )
% 0.45/1.08 , 0, clause( 80, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, n1 ), :=( Y, X )
% 0.45/1.08 , :=( Z, n1 )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 8, [ =( f( n1, f( X, n1 ) ), f( f( n1, X ), n2 ) ) ] )
% 0.45/1.08 , clause( 83, [ =( f( n1, f( X, n1 ) ), f( f( n1, X ), n2 ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 88, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 91, [ =( f( n2, f( n1, X ) ), f( n3, f( n2, X ) ) ) ] )
% 0.45/1.08 , clause( 2, [ =( f( n2, n1 ), n3 ) ] )
% 0.45/1.08 , 0, clause( 88, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, n2 ), :=( Y, n1 )
% 0.45/1.08 , :=( Z, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 93, [ =( f( n1, f( n1, X ) ), f( n3, f( n2, X ) ) ) ] )
% 0.45/1.08 , clause( 7, [ =( f( n2, f( n1, X ) ), f( n1, f( n1, X ) ) ) ] )
% 0.45/1.08 , 0, clause( 91, [ =( f( n2, f( n1, X ) ), f( n3, f( n2, X ) ) ) ] )
% 0.45/1.08 , 0, 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 eqswap(
% 0.45/1.08 clause( 94, [ =( f( n3, f( n2, X ) ), f( n1, f( n1, X ) ) ) ] )
% 0.45/1.08 , clause( 93, [ =( f( n1, f( n1, X ) ), f( n3, f( n2, X ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 9, [ =( f( n3, f( n2, X ) ), f( n1, f( n1, X ) ) ) ] )
% 0.45/1.08 , clause( 94, [ =( f( n3, f( n2, X ) ), f( n1, f( n1, 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 eqswap(
% 0.45/1.08 clause( 96, [ =( f( n1, f( n1, X ) ), f( n2, f( n1, X ) ) ) ] )
% 0.45/1.08 , clause( 7, [ =( f( n2, f( n1, X ) ), f( n1, f( n1, X ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 99, [ =( f( n1, f( n1, n1 ) ), f( n2, n2 ) ) ] )
% 0.45/1.08 , clause( 1, [ =( f( n1, n1 ), n2 ) ] )
% 0.45/1.08 , 0, clause( 96, [ =( f( n1, f( n1, X ) ), f( n2, f( n1, X ) ) ) ] )
% 0.45/1.08 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, n1 )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 100, [ =( f( n1, n2 ), f( n2, n2 ) ) ] )
% 0.45/1.08 , clause( 1, [ =( f( n1, n1 ), n2 ) ] )
% 0.45/1.08 , 0, clause( 99, [ =( f( n1, f( n1, n1 ) ), f( n2, n2 ) ) ] )
% 0.45/1.08 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 103, [ =( f( n1, n2 ), u ) ] )
% 0.45/1.08 , clause( 3, [ =( f( n2, n2 ), u ) ] )
% 0.45/1.08 , 0, clause( 100, [ =( f( n1, n2 ), f( n2, n2 ) ) ] )
% 0.45/1.08 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 13, [ =( f( n1, n2 ), u ) ] )
% 0.45/1.08 , clause( 103, [ =( f( n1, n2 ), u ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 106, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 108, [ =( f( n1, f( n2, X ) ), f( u, f( n1, X ) ) ) ] )
% 0.45/1.08 , clause( 13, [ =( f( n1, n2 ), u ) ] )
% 0.45/1.08 , 0, clause( 106, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, n1 ), :=( Y, n2 )
% 0.45/1.08 , :=( Z, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 15, [ =( f( n1, f( n2, X ) ), f( u, f( n1, X ) ) ) ] )
% 0.45/1.08 , clause( 108, [ =( f( n1, f( n2, X ) ), f( u, f( n1, 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 eqswap(
% 0.45/1.08 clause( 114, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 117, [ =( f( n1, f( X, n2 ) ), f( f( n1, X ), u ) ) ] )
% 0.45/1.08 , clause( 13, [ =( f( n1, n2 ), u ) ] )
% 0.45/1.08 , 0, clause( 114, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, n1 ), :=( Y, X )
% 0.45/1.08 , :=( Z, n2 )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 16, [ =( f( n1, f( X, n2 ) ), f( f( n1, X ), u ) ) ] )
% 0.45/1.08 , clause( 117, [ =( f( n1, f( X, n2 ) ), f( f( n1, X ), u ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 122, [ =( f( u, f( n1, X ) ), f( n1, f( n2, X ) ) ) ] )
% 0.45/1.08 , clause( 15, [ =( f( n1, f( n2, X ) ), f( u, f( n1, X ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 124, [ =( f( u, f( n1, n1 ) ), f( n1, n3 ) ) ] )
% 0.45/1.08 , clause( 2, [ =( f( n2, n1 ), n3 ) ] )
% 0.45/1.08 , 0, clause( 122, [ =( f( u, f( n1, X ) ), f( n1, f( n2, X ) ) ) ] )
% 0.45/1.08 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, n1 )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 125, [ =( f( u, n2 ), f( n1, n3 ) ) ] )
% 0.45/1.08 , clause( 1, [ =( f( n1, n1 ), n2 ) ] )
% 0.45/1.08 , 0, clause( 124, [ =( f( u, f( n1, n1 ) ), f( n1, n3 ) ) ] )
% 0.45/1.08 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 126, [ =( f( n1, n3 ), f( u, n2 ) ) ] )
% 0.45/1.08 , clause( 125, [ =( f( u, n2 ), f( n1, n3 ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 22, [ =( f( n1, n3 ), f( u, n2 ) ) ] )
% 0.45/1.08 , clause( 126, [ =( f( n1, n3 ), f( u, n2 ) ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 128, [ =( f( u, f( n1, X ) ), f( n1, f( n2, X ) ) ) ] )
% 0.45/1.08 , clause( 15, [ =( f( n1, f( n2, X ) ), f( u, f( n1, X ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 130, [ =( f( u, f( n1, n2 ) ), f( n1, u ) ) ] )
% 0.45/1.08 , clause( 3, [ =( f( n2, n2 ), u ) ] )
% 0.45/1.08 , 0, clause( 128, [ =( f( u, f( n1, X ) ), f( n1, f( n2, X ) ) ) ] )
% 0.45/1.08 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, n2 )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 131, [ =( f( u, u ), f( n1, u ) ) ] )
% 0.45/1.08 , clause( 13, [ =( f( n1, n2 ), u ) ] )
% 0.45/1.08 , 0, clause( 130, [ =( f( u, f( n1, n2 ) ), f( n1, u ) ) ] )
% 0.45/1.08 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 23, [ =( f( u, u ), f( n1, u ) ) ] )
% 0.45/1.08 , clause( 131, [ =( f( u, u ), f( n1, u ) ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 134, [ ~( =( f( f( n3, n2 ), u ), f( f( u, u ), u ) ) ) ] )
% 0.45/1.08 , clause( 4, [ ~( =( f( f( u, u ), u ), f( f( n3, n2 ), u ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 135, [ ~( =( f( f( n3, n2 ), u ), f( f( n1, u ), u ) ) ) ] )
% 0.45/1.08 , clause( 23, [ =( f( u, u ), f( n1, u ) ) ] )
% 0.45/1.08 , 0, clause( 134, [ ~( =( f( f( n3, n2 ), u ), f( f( u, u ), u ) ) ) ] )
% 0.45/1.08 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 136, [ ~( =( f( f( n1, u ), u ), f( f( n3, n2 ), u ) ) ) ] )
% 0.45/1.08 , clause( 135, [ ~( =( f( f( n3, n2 ), u ), f( f( n1, u ), u ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 28, [ ~( =( f( f( n1, u ), u ), f( f( n3, n2 ), u ) ) ) ] )
% 0.45/1.08 , clause( 136, [ ~( =( f( f( n1, u ), u ), f( f( n3, n2 ), u ) ) ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 138, [ =( f( n1, f( n1, X ) ), f( n3, f( n2, X ) ) ) ] )
% 0.45/1.08 , clause( 9, [ =( f( n3, f( n2, X ) ), f( n1, f( n1, X ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 142, [ =( f( n1, f( n1, n1 ) ), f( n3, n3 ) ) ] )
% 0.45/1.08 , clause( 2, [ =( f( n2, n1 ), n3 ) ] )
% 0.45/1.08 , 0, clause( 138, [ =( f( n1, f( n1, X ) ), f( n3, f( n2, X ) ) ) ] )
% 0.45/1.08 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, n1 )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 143, [ =( f( f( n1, n1 ), n2 ), f( n3, n3 ) ) ] )
% 0.45/1.08 , clause( 8, [ =( f( n1, f( X, n1 ) ), f( f( n1, X ), n2 ) ) ] )
% 0.45/1.08 , 0, clause( 142, [ =( f( n1, f( n1, n1 ) ), f( n3, n3 ) ) ] )
% 0.45/1.08 , 0, 1, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 144, [ =( f( n2, n2 ), f( n3, n3 ) ) ] )
% 0.45/1.08 , clause( 1, [ =( f( n1, n1 ), n2 ) ] )
% 0.45/1.08 , 0, clause( 143, [ =( f( f( n1, n1 ), n2 ), f( n3, n3 ) ) ] )
% 0.45/1.08 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 145, [ =( u, f( n3, n3 ) ) ] )
% 0.45/1.08 , clause( 3, [ =( f( n2, n2 ), u ) ] )
% 0.45/1.08 , 0, clause( 144, [ =( f( n2, n2 ), f( n3, n3 ) ) ] )
% 0.45/1.08 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 146, [ =( f( n3, n3 ), u ) ] )
% 0.45/1.08 , clause( 145, [ =( u, f( n3, n3 ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 32, [ =( f( n3, n3 ), u ) ] )
% 0.45/1.08 , clause( 146, [ =( f( n3, n3 ), u ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 148, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 151, [ =( f( n3, f( X, n3 ) ), f( f( n3, X ), u ) ) ] )
% 0.45/1.08 , clause( 32, [ =( f( n3, n3 ), u ) ] )
% 0.45/1.08 , 0, clause( 148, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.45/1.08 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, n3 ), :=( Y, X )
% 0.45/1.08 , :=( Z, n3 )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 35, [ =( f( n3, f( X, n3 ) ), f( f( n3, X ), u ) ) ] )
% 0.45/1.08 , clause( 151, [ =( f( n3, f( X, n3 ) ), f( f( n3, X ), u ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 155, [ =( f( f( n3, X ), u ), f( n3, f( X, n3 ) ) ) ] )
% 0.45/1.08 , clause( 35, [ =( f( n3, f( X, n3 ) ), f( f( n3, X ), u ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 160, [ =( f( f( n3, n2 ), u ), f( n1, f( n1, n3 ) ) ) ] )
% 0.45/1.08 , clause( 9, [ =( f( n3, f( n2, X ) ), f( n1, f( n1, X ) ) ) ] )
% 0.45/1.08 , 0, clause( 155, [ =( f( f( n3, X ), u ), f( n3, f( X, n3 ) ) ) ] )
% 0.45/1.08 , 0, 6, substitution( 0, [ :=( X, n3 )] ), substitution( 1, [ :=( X, n2 )] )
% 0.45/1.08 ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 161, [ =( f( f( n3, n2 ), u ), f( n1, f( u, n2 ) ) ) ] )
% 0.45/1.08 , clause( 22, [ =( f( n1, n3 ), f( u, n2 ) ) ] )
% 0.45/1.08 , 0, clause( 160, [ =( f( f( n3, n2 ), u ), f( n1, f( n1, n3 ) ) ) ] )
% 0.45/1.08 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 162, [ =( f( f( n3, n2 ), u ), f( f( n1, u ), u ) ) ] )
% 0.45/1.08 , clause( 16, [ =( f( n1, f( X, n2 ) ), f( f( n1, X ), u ) ) ] )
% 0.45/1.08 , 0, clause( 161, [ =( f( f( n3, n2 ), u ), f( n1, f( u, n2 ) ) ) ] )
% 0.45/1.08 , 0, 6, substitution( 0, [ :=( X, u )] ), substitution( 1, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 163, [ =( f( f( n1, u ), u ), f( f( n3, n2 ), u ) ) ] )
% 0.45/1.08 , clause( 162, [ =( f( f( n3, n2 ), u ), f( f( n1, u ), u ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 39, [ =( f( f( n1, u ), u ), f( f( n3, n2 ), u ) ) ] )
% 0.45/1.08 , clause( 163, [ =( f( f( n1, u ), u ), f( f( n3, n2 ), u ) ) ] )
% 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( 166, [] )
% 0.45/1.08 , clause( 28, [ ~( =( f( f( n1, u ), u ), f( f( n3, n2 ), u ) ) ) ] )
% 0.45/1.08 , 0, clause( 39, [ =( f( f( n1, u ), u ), f( f( n3, n2 ), u ) ) ] )
% 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( 49, [] )
% 0.45/1.08 , clause( 166, [] )
% 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: 680
% 0.45/1.08 space for clauses: 5682
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 clauses generated: 282
% 0.45/1.08 clauses kept: 50
% 0.45/1.08 clauses selected: 24
% 0.45/1.08 clauses deleted: 1
% 0.45/1.08 clauses inuse deleted: 0
% 0.45/1.08
% 0.45/1.08 subsentry: 351
% 0.45/1.08 literals s-matched: 106
% 0.45/1.08 literals matched: 106
% 0.45/1.08 full subsumption: 0
% 0.45/1.08
% 0.45/1.08 checksum: 907805
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Bliksem ended
%------------------------------------------------------------------------------