TSTP Solution File: LDA007-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LDA007-2 : TPTP v8.1.0. Bugfixed v2.6.0.
% 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 : Sun Jul 17 16:41:34 EDT 2022
% Result : Unsatisfiable 0.71s 1.10s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LDA007-2 : TPTP v8.1.0. Bugfixed v2.6.0.
% 0.14/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n021.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 May 30 04:19:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.71/1.10 *** allocated 10000 integers for termspace/termends
% 0.71/1.10 *** allocated 10000 integers for clauses
% 0.71/1.10 *** allocated 10000 integers for justifications
% 0.71/1.10 Bliksem 1.12
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Automatic Strategy Selection
% 0.71/1.10
% 0.71/1.10 Clauses:
% 0.71/1.10 [
% 0.71/1.10 [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ],
% 0.71/1.10 [ =( a( X, a( Y, Z ) ), a( f( X, Y ), a( X, Z ) ) ) ],
% 0.71/1.10 [ =( 'critical_point'( f( X, Y ) ), a( X, 'critical_point'( Y ) ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( less( X, X ) ) ],
% 0.71/1.10 [ ~( less( X, Y ) ), less( a( Z, X ), a( Z, Y ) ) ],
% 0.71/1.10 [ =( X, a( Y, X ) ), less( X, a( Y, X ) ) ],
% 0.71/1.10 [ ~( less( X, 'critical_point'( Y ) ) ), =( a( Y, X ), X ) ],
% 0.71/1.10 [ less( X, 'critical_point'( Y ) ), less( X, a( Y, X ) ) ],
% 0.71/1.10 [ ~( =( a( X, Y ), Y ) ), =( a( f( Z, X ), Y ), Y ) ],
% 0.71/1.10 [ =( tt, f( t, t ) ) ],
% 0.71/1.10 [ =( st, f( s, t ) ) ],
% 0.71/1.10 [ =( ts, f( t, s ) ) ],
% 0.71/1.10 [ =( 'tt_ts', f( tt, ts ) ) ],
% 0.71/1.10 [ =( k, 'critical_point'( t ) ) ],
% 0.71/1.10 [ =( sk, f( s, k ) ) ],
% 0.71/1.10 [ =( tk, f( t, k ) ) ],
% 0.71/1.10 [ =( stk, f( st, k ) ) ],
% 0.71/1.10 [ =( tsk, f( ts, k ) ) ],
% 0.71/1.10 [ =( ttk, f( tt, k ) ) ],
% 0.71/1.10 [ ~( =( f( t, tsk ), f( 'tt_ts', tk ) ) ) ]
% 0.71/1.10 ] .
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 percentage equality = 0.720000, percentage horn = 0.900000
% 0.71/1.10 This is a problem with some equality
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Options Used:
% 0.71/1.10
% 0.71/1.10 useres = 1
% 0.71/1.10 useparamod = 1
% 0.71/1.10 useeqrefl = 1
% 0.71/1.10 useeqfact = 1
% 0.71/1.10 usefactor = 1
% 0.71/1.10 usesimpsplitting = 0
% 0.71/1.10 usesimpdemod = 5
% 0.71/1.10 usesimpres = 3
% 0.71/1.10
% 0.71/1.10 resimpinuse = 1000
% 0.71/1.10 resimpclauses = 20000
% 0.71/1.10 substype = eqrewr
% 0.71/1.10 backwardsubs = 1
% 0.71/1.10 selectoldest = 5
% 0.71/1.10
% 0.71/1.10 litorderings [0] = split
% 0.71/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.10
% 0.71/1.10 termordering = kbo
% 0.71/1.10
% 0.71/1.10 litapriori = 0
% 0.71/1.10 termapriori = 1
% 0.71/1.10 litaposteriori = 0
% 0.71/1.10 termaposteriori = 0
% 0.71/1.10 demodaposteriori = 0
% 0.71/1.10 ordereqreflfact = 0
% 0.71/1.10
% 0.71/1.10 litselect = negord
% 0.71/1.10
% 0.71/1.10 maxweight = 15
% 0.71/1.10 maxdepth = 30000
% 0.71/1.10 maxlength = 115
% 0.71/1.10 maxnrvars = 195
% 0.71/1.10 excuselevel = 1
% 0.71/1.10 increasemaxweight = 1
% 0.71/1.10
% 0.71/1.10 maxselected = 10000000
% 0.71/1.10 maxnrclauses = 10000000
% 0.71/1.10
% 0.71/1.10 showgenerated = 0
% 0.71/1.10 showkept = 0
% 0.71/1.10 showselected = 0
% 0.71/1.10 showdeleted = 0
% 0.71/1.10 showresimp = 1
% 0.71/1.10 showstatus = 2000
% 0.71/1.10
% 0.71/1.10 prologoutput = 1
% 0.71/1.10 nrgoals = 5000000
% 0.71/1.10 totalproof = 1
% 0.71/1.10
% 0.71/1.10 Symbols occurring in the translation:
% 0.71/1.10
% 0.71/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.10 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.71/1.10 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 0.71/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.10 f [42, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.71/1.10 a [43, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.71/1.10 'critical_point' [46, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.71/1.10 less [47, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.71/1.10 tt [48, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.10 t [49, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.10 st [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.71/1.10 s [51, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.71/1.10 ts [52, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.71/1.10 'tt_ts' [53, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.10 k [54, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.10 sk [55, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.71/1.10 tk [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.10 stk [57, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.71/1.10 tsk [58, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.10 ttk [59, 0] (w:1, o:25, a:1, s:1, b:0).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Starting Search:
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Bliksems!, er is een bewijs:
% 0.71/1.10 % SZS status Unsatisfiable
% 0.71/1.10 % SZS output start Refutation
% 0.71/1.10
% 0.71/1.10 clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 9, [ =( f( t, t ), tt ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 11, [ =( f( t, s ), ts ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 12, [ =( f( tt, ts ), 'tt_ts' ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 15, [ =( f( t, k ), tk ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 17, [ =( f( ts, k ), tsk ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 19, [ ~( =( f( 'tt_ts', tk ), f( t, tsk ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 29, [ =( f( t, f( X, k ) ), f( f( t, X ), tk ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 35, [ =( f( t, f( X, s ) ), f( f( t, X ), ts ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 307, [ =( f( f( t, ts ), tk ), f( t, tsk ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 367, [ =( f( t, ts ), 'tt_ts' ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 370, [] )
% 0.71/1.10 .
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 % SZS output end Refutation
% 0.71/1.10 found a proof!
% 0.71/1.10
% 0.71/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10
% 0.71/1.10 initialclauses(
% 0.71/1.10 [ clause( 372, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.71/1.10 , clause( 373, [ =( a( X, a( Y, Z ) ), a( f( X, Y ), a( X, Z ) ) ) ] )
% 0.71/1.10 , clause( 374, [ =( 'critical_point'( f( X, Y ) ), a( X, 'critical_point'(
% 0.71/1.10 Y ) ) ) ] )
% 0.71/1.10 , clause( 375, [ ~( less( X, X ) ) ] )
% 0.71/1.10 , clause( 376, [ ~( less( X, Y ) ), less( a( Z, X ), a( Z, Y ) ) ] )
% 0.71/1.10 , clause( 377, [ =( X, a( Y, X ) ), less( X, a( Y, X ) ) ] )
% 0.71/1.10 , clause( 378, [ ~( less( X, 'critical_point'( Y ) ) ), =( a( Y, X ), X ) ]
% 0.71/1.10 )
% 0.71/1.10 , clause( 379, [ less( X, 'critical_point'( Y ) ), less( X, a( Y, X ) ) ]
% 0.71/1.10 )
% 0.71/1.10 , clause( 380, [ ~( =( a( X, Y ), Y ) ), =( a( f( Z, X ), Y ), Y ) ] )
% 0.71/1.10 , clause( 381, [ =( tt, f( t, t ) ) ] )
% 0.71/1.10 , clause( 382, [ =( st, f( s, t ) ) ] )
% 0.71/1.10 , clause( 383, [ =( ts, f( t, s ) ) ] )
% 0.71/1.10 , clause( 384, [ =( 'tt_ts', f( tt, ts ) ) ] )
% 0.71/1.10 , clause( 385, [ =( k, 'critical_point'( t ) ) ] )
% 0.71/1.10 , clause( 386, [ =( sk, f( s, k ) ) ] )
% 0.71/1.10 , clause( 387, [ =( tk, f( t, k ) ) ] )
% 0.71/1.10 , clause( 388, [ =( stk, f( st, k ) ) ] )
% 0.71/1.10 , clause( 389, [ =( tsk, f( ts, k ) ) ] )
% 0.71/1.10 , clause( 390, [ =( ttk, f( tt, k ) ) ] )
% 0.71/1.10 , clause( 391, [ ~( =( f( t, tsk ), f( 'tt_ts', tk ) ) ) ] )
% 0.71/1.10 ] ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 392, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.71/1.10 , clause( 372, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.71/1.10 , clause( 392, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 401, [ =( f( t, t ), tt ) ] )
% 0.71/1.10 , clause( 381, [ =( tt, f( t, t ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 9, [ =( f( t, t ), tt ) ] )
% 0.71/1.10 , clause( 401, [ =( f( t, t ), tt ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 412, [ =( f( t, s ), ts ) ] )
% 0.71/1.10 , clause( 383, [ =( ts, f( t, s ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 11, [ =( f( t, s ), ts ) ] )
% 0.71/1.10 , clause( 412, [ =( f( t, s ), ts ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 424, [ =( f( tt, ts ), 'tt_ts' ) ] )
% 0.71/1.10 , clause( 384, [ =( 'tt_ts', f( tt, ts ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 12, [ =( f( tt, ts ), 'tt_ts' ) ] )
% 0.71/1.10 , clause( 424, [ =( f( tt, ts ), 'tt_ts' ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 439, [ =( f( t, k ), tk ) ] )
% 0.71/1.10 , clause( 387, [ =( tk, f( t, k ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 15, [ =( f( t, k ), tk ) ] )
% 0.71/1.10 , clause( 439, [ =( f( t, k ), tk ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 456, [ =( f( ts, k ), tsk ) ] )
% 0.71/1.10 , clause( 389, [ =( tsk, f( ts, k ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 17, [ =( f( ts, k ), tsk ) ] )
% 0.71/1.10 , clause( 456, [ =( f( ts, k ), tsk ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 475, [ ~( =( f( 'tt_ts', tk ), f( t, tsk ) ) ) ] )
% 0.71/1.10 , clause( 391, [ ~( =( f( t, tsk ), f( 'tt_ts', tk ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 19, [ ~( =( f( 'tt_ts', tk ), f( t, tsk ) ) ) ] )
% 0.71/1.10 , clause( 475, [ ~( =( f( 'tt_ts', tk ), f( t, tsk ) ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 477, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.71/1.10 , clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 480, [ =( f( t, f( X, k ) ), f( f( t, X ), tk ) ) ] )
% 0.71/1.10 , clause( 15, [ =( f( t, k ), tk ) ] )
% 0.71/1.10 , 0, clause( 477, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.71/1.10 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, t ), :=( Y, X ),
% 0.71/1.10 :=( Z, k )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 29, [ =( f( t, f( X, k ) ), f( f( t, X ), tk ) ) ] )
% 0.71/1.10 , clause( 480, [ =( f( t, f( X, k ) ), f( f( t, X ), tk ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 485, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.71/1.10 , clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 488, [ =( f( t, f( X, s ) ), f( f( t, X ), ts ) ) ] )
% 0.71/1.10 , clause( 11, [ =( f( t, s ), ts ) ] )
% 0.71/1.10 , 0, clause( 485, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.71/1.10 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, t ), :=( Y, X ),
% 0.71/1.10 :=( Z, s )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 35, [ =( f( t, f( X, s ) ), f( f( t, X ), ts ) ) ] )
% 0.71/1.10 , clause( 488, [ =( f( t, f( X, s ) ), f( f( t, X ), ts ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 493, [ =( f( f( t, X ), tk ), f( t, f( X, k ) ) ) ] )
% 0.71/1.10 , clause( 29, [ =( f( t, f( X, k ) ), f( f( t, X ), tk ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 494, [ =( f( f( t, ts ), tk ), f( t, tsk ) ) ] )
% 0.71/1.10 , clause( 17, [ =( f( ts, k ), tsk ) ] )
% 0.71/1.10 , 0, clause( 493, [ =( f( f( t, X ), tk ), f( t, f( X, k ) ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, ts )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 307, [ =( f( f( t, ts ), tk ), f( t, tsk ) ) ] )
% 0.71/1.10 , clause( 494, [ =( f( f( t, ts ), tk ), f( t, tsk ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 497, [ =( f( f( t, X ), ts ), f( t, f( X, s ) ) ) ] )
% 0.71/1.10 , clause( 35, [ =( f( t, f( X, s ) ), f( f( t, X ), ts ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 501, [ =( f( f( t, t ), ts ), f( t, ts ) ) ] )
% 0.71/1.10 , clause( 11, [ =( f( t, s ), ts ) ] )
% 0.71/1.10 , 0, clause( 497, [ =( f( f( t, X ), ts ), f( t, f( X, s ) ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, t )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 502, [ =( f( tt, ts ), f( t, ts ) ) ] )
% 0.71/1.10 , clause( 9, [ =( f( t, t ), tt ) ] )
% 0.71/1.10 , 0, clause( 501, [ =( f( f( t, t ), ts ), f( t, ts ) ) ] )
% 0.71/1.10 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 503, [ =( 'tt_ts', f( t, ts ) ) ] )
% 0.71/1.10 , clause( 12, [ =( f( tt, ts ), 'tt_ts' ) ] )
% 0.71/1.10 , 0, clause( 502, [ =( f( tt, ts ), f( t, ts ) ) ] )
% 0.71/1.10 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 504, [ =( f( t, ts ), 'tt_ts' ) ] )
% 0.71/1.10 , clause( 503, [ =( 'tt_ts', f( t, ts ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 367, [ =( f( t, ts ), 'tt_ts' ) ] )
% 0.71/1.10 , clause( 504, [ =( f( t, ts ), 'tt_ts' ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 506, [ =( f( t, tsk ), f( f( t, ts ), tk ) ) ] )
% 0.71/1.10 , clause( 307, [ =( f( f( t, ts ), tk ), f( t, tsk ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 507, [ ~( =( f( t, tsk ), f( 'tt_ts', tk ) ) ) ] )
% 0.71/1.10 , clause( 19, [ ~( =( f( 'tt_ts', tk ), f( t, tsk ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 508, [ =( f( t, tsk ), f( 'tt_ts', tk ) ) ] )
% 0.71/1.10 , clause( 367, [ =( f( t, ts ), 'tt_ts' ) ] )
% 0.71/1.10 , 0, clause( 506, [ =( f( t, tsk ), f( f( t, ts ), tk ) ) ] )
% 0.71/1.10 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 509, [] )
% 0.71/1.10 , clause( 507, [ ~( =( f( t, tsk ), f( 'tt_ts', tk ) ) ) ] )
% 0.71/1.10 , 0, clause( 508, [ =( f( t, tsk ), f( 'tt_ts', tk ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 370, [] )
% 0.71/1.10 , clause( 509, [] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 end.
% 0.71/1.10
% 0.71/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10
% 0.71/1.10 Memory use:
% 0.71/1.10
% 0.71/1.10 space for terms: 4583
% 0.71/1.10 space for clauses: 28619
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 clauses generated: 1242
% 0.71/1.10 clauses kept: 371
% 0.71/1.10 clauses selected: 108
% 0.71/1.10 clauses deleted: 9
% 0.71/1.10 clauses inuse deleted: 0
% 0.71/1.10
% 0.71/1.10 subsentry: 929
% 0.71/1.10 literals s-matched: 482
% 0.71/1.10 literals matched: 472
% 0.71/1.10 full subsumption: 2
% 0.71/1.10
% 0.71/1.10 checksum: 1974798395
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Bliksem ended
%------------------------------------------------------------------------------