TSTP Solution File: COL099-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL099-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 : Fri Jul 15 00:12:42 EDT 2022
% Result : Unsatisfiable 2.07s 2.51s
% Output : Refutation 2.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COL099-1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue May 31 07:54:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.07/2.51 *** allocated 10000 integers for termspace/termends
% 2.07/2.51 *** allocated 10000 integers for clauses
% 2.07/2.51 *** allocated 10000 integers for justifications
% 2.07/2.51 Bliksem 1.12
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 Automatic Strategy Selection
% 2.07/2.51
% 2.07/2.51 Clauses:
% 2.07/2.51 [
% 2.07/2.51 [ ~( =( combK, combS ) ) ],
% 2.07/2.51 [ ~( =( combK, 'comb_app'( X, Y ) ) ) ],
% 2.07/2.51 [ ~( =( combS, 'comb_app'( X, Y ) ) ) ],
% 2.07/2.51 [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( X, Z ) ],
% 2.07/2.51 [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ],
% 2.07/2.51 [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ), 'comb_app'( Y,
% 2.07/2.51 T ) ) ],
% 2.07/2.51 [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ), trancl( Z ) ) ]
% 2.07/2.51 ,
% 2.07/2.51 [ trans( trancl( X ) ) ],
% 2.07/2.51 [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~( member( pair( Z, T
% 2.07/2.51 ), X ) ), member( pair( Y, T ), X ) ],
% 2.07/2.51 [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ), ~( member(
% 2.07/2.51 pair( Y, T ), X ) ), member( pair( T, 'diamond_strip_lemmaD_sk1'( Y, Z, T
% 2.07/2.51 , X ) ), trancl( X ) ) ],
% 2.07/2.51 [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ), ~( member(
% 2.07/2.51 pair( Y, T ), X ) ), member( pair( Z, 'diamond_strip_lemmaD_sk1'( Y, Z, T
% 2.07/2.51 , X ) ), X ) ],
% 2.07/2.51 [ diamond( r ) ],
% 2.07/2.51 [ member( pair( y, ya ), r ) ],
% 2.07/2.51 [ member( pair( y, yp ), trancl( r ) ) ],
% 2.07/2.51 [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member( pair( yp, X ),
% 2.07/2.51 trancl( r ) ) ) ]
% 2.07/2.51 ] .
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 percentage equality = 0.333333, percentage horn = 1.000000
% 2.07/2.51 This is a problem with some equality
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 Options Used:
% 2.07/2.51
% 2.07/2.51 useres = 1
% 2.07/2.51 useparamod = 1
% 2.07/2.51 useeqrefl = 1
% 2.07/2.51 useeqfact = 1
% 2.07/2.51 usefactor = 1
% 2.07/2.51 usesimpsplitting = 0
% 2.07/2.51 usesimpdemod = 5
% 2.07/2.51 usesimpres = 3
% 2.07/2.51
% 2.07/2.51 resimpinuse = 1000
% 2.07/2.51 resimpclauses = 20000
% 2.07/2.51 substype = eqrewr
% 2.07/2.51 backwardsubs = 1
% 2.07/2.51 selectoldest = 5
% 2.07/2.51
% 2.07/2.51 litorderings [0] = split
% 2.07/2.51 litorderings [1] = extend the termordering, first sorting on arguments
% 2.07/2.51
% 2.07/2.51 termordering = kbo
% 2.07/2.51
% 2.07/2.51 litapriori = 0
% 2.07/2.51 termapriori = 1
% 2.07/2.51 litaposteriori = 0
% 2.07/2.51 termaposteriori = 0
% 2.07/2.51 demodaposteriori = 0
% 2.07/2.51 ordereqreflfact = 0
% 2.07/2.51
% 2.07/2.51 litselect = negord
% 2.07/2.51
% 2.07/2.51 maxweight = 15
% 2.07/2.51 maxdepth = 30000
% 2.07/2.51 maxlength = 115
% 2.07/2.51 maxnrvars = 195
% 2.07/2.51 excuselevel = 1
% 2.07/2.51 increasemaxweight = 1
% 2.07/2.51
% 2.07/2.51 maxselected = 10000000
% 2.07/2.51 maxnrclauses = 10000000
% 2.07/2.51
% 2.07/2.51 showgenerated = 0
% 2.07/2.51 showkept = 0
% 2.07/2.51 showselected = 0
% 2.07/2.51 showdeleted = 0
% 2.07/2.51 showresimp = 1
% 2.07/2.51 showstatus = 2000
% 2.07/2.51
% 2.07/2.51 prologoutput = 1
% 2.07/2.51 nrgoals = 5000000
% 2.07/2.51 totalproof = 1
% 2.07/2.51
% 2.07/2.51 Symbols occurring in the translation:
% 2.07/2.51
% 2.07/2.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.07/2.51 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 2.07/2.51 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 2.07/2.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.07/2.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.07/2.51 combK [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.07/2.51 combS [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 2.07/2.51 'comb_app' [43, 2] (w:1, o:62, a:1, s:1, b:0),
% 2.07/2.51 pair [50, 2] (w:1, o:63, a:1, s:1, b:0),
% 2.07/2.51 member [52, 2] (w:1, o:64, a:1, s:1, b:0),
% 2.07/2.51 trancl [53, 1] (w:1, o:34, a:1, s:1, b:0),
% 2.07/2.51 trans [54, 1] (w:1, o:35, a:1, s:1, b:0),
% 2.07/2.51 diamond [56, 1] (w:1, o:36, a:1, s:1, b:0),
% 2.07/2.51 'diamond_strip_lemmaD_sk1' [60, 4] (w:1, o:65, a:1, s:1, b:0),
% 2.07/2.51 r [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 2.07/2.51 y [62, 0] (w:1, o:25, a:1, s:1, b:0),
% 2.07/2.51 ya [63, 0] (w:1, o:26, a:1, s:1, b:0),
% 2.07/2.51 yp [64, 0] (w:1, o:27, a:1, s:1, b:0).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 Starting Search:
% 2.07/2.51
% 2.07/2.51 Resimplifying inuse:
% 2.07/2.51 Done
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 Intermediate Status:
% 2.07/2.51 Generated: 69999
% 2.07/2.51 Kept: 2395
% 2.07/2.51 Inuse: 373
% 2.07/2.51 Deleted: 14
% 2.07/2.51 Deletedinuse: 0
% 2.07/2.51
% 2.07/2.51 Resimplifying inuse:
% 2.07/2.51 Done
% 2.07/2.51
% 2.07/2.51 Resimplifying inuse:
% 2.07/2.51 Done
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 Intermediate Status:
% 2.07/2.51 Generated: 213637
% 2.07/2.51 Kept: 4399
% 2.07/2.51 Inuse: 800
% 2.07/2.51 Deleted: 69
% 2.07/2.51 Deletedinuse: 35
% 2.07/2.51
% 2.07/2.51 Resimplifying inuse:
% 2.07/2.51 Done
% 2.07/2.51
% 2.07/2.51 Resimplifying inuse:
% 2.07/2.51 Done
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 Intermediate Status:
% 2.07/2.51 Generated: 304439
% 2.07/2.51 Kept: 6399
% 2.07/2.51 Inuse: 1037
% 2.07/2.51 Deleted: 76
% 2.07/2.51 Deletedinuse: 35
% 2.07/2.51
% 2.07/2.51 Resimplifying inuse:
% 2.07/2.51 Done
% 2.07/2.51
% 2.07/2.51 Resimplifying inuse:
% 2.07/2.51 Done
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 Bliksems!, er is een bewijs:
% 2.07/2.51 % SZS status Unsatisfiable
% 2.07/2.51 % SZS output start Refutation
% 2.07/2.51
% 2.07/2.51 clause( 6, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ), trancl(
% 2.07/2.51 Z ) ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 9, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ),
% 2.07/2.51 ~( member( pair( Y, T ), X ) ), member( pair( T,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), trancl( X ) ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 10, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ),
% 2.07/2.51 ~( member( pair( Y, T ), X ) ), member( pair( Z,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), X ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 11, [ diamond( r ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 12, [ member( pair( y, ya ), r ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 13, [ member( pair( y, yp ), trancl( r ) ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 14, [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member( pair(
% 2.07/2.51 yp, X ), trancl( r ) ) ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 293, [ ~( member( pair( y, X ), r ) ), member( pair( X,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), trancl( r ) ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 327, [ ~( member( pair( y, X ), r ) ), member( pair( yp,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), r ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 360, [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member( pair(
% 2.07/2.51 yp, X ), r ) ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 6357, [ ~( member( pair( yp, 'diamond_strip_lemmaD_sk1'( y, yp, ya
% 2.07/2.51 , r ) ), r ) ) ] )
% 2.07/2.51 .
% 2.07/2.51 clause( 7956, [] )
% 2.07/2.51 .
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 % SZS output end Refutation
% 2.07/2.51 found a proof!
% 2.07/2.51
% 2.07/2.51 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.07/2.51
% 2.07/2.51 initialclauses(
% 2.07/2.51 [ clause( 7958, [ ~( =( combK, combS ) ) ] )
% 2.07/2.51 , clause( 7959, [ ~( =( combK, 'comb_app'( X, Y ) ) ) ] )
% 2.07/2.51 , clause( 7960, [ ~( =( combS, 'comb_app'( X, Y ) ) ) ] )
% 2.07/2.51 , clause( 7961, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( X, Z
% 2.07/2.51 ) ] )
% 2.07/2.51 , clause( 7962, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T
% 2.07/2.51 ) ] )
% 2.07/2.51 , clause( 7963, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 2.07/2.51 'comb_app'( Y, T ) ) ] )
% 2.07/2.51 , clause( 7964, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ),
% 2.07/2.51 trancl( Z ) ) ] )
% 2.07/2.51 , clause( 7965, [ trans( trancl( X ) ) ] )
% 2.07/2.51 , clause( 7966, [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~(
% 2.07/2.51 member( pair( Z, T ), X ) ), member( pair( Y, T ), X ) ] )
% 2.07/2.51 , clause( 7967, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) )
% 2.07/2.51 ), ~( member( pair( Y, T ), X ) ), member( pair( T,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), trancl( X ) ) ] )
% 2.07/2.51 , clause( 7968, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) )
% 2.07/2.51 ), ~( member( pair( Y, T ), X ) ), member( pair( Z,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), X ) ] )
% 2.07/2.51 , clause( 7969, [ diamond( r ) ] )
% 2.07/2.51 , clause( 7970, [ member( pair( y, ya ), r ) ] )
% 2.07/2.51 , clause( 7971, [ member( pair( y, yp ), trancl( r ) ) ] )
% 2.07/2.51 , clause( 7972, [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member(
% 2.07/2.51 pair( yp, X ), trancl( r ) ) ) ] )
% 2.07/2.51 ] ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 6, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ), trancl(
% 2.07/2.51 Z ) ) ] )
% 2.07/2.51 , clause( 7964, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ),
% 2.07/2.51 trancl( Z ) ) ] )
% 2.07/2.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.07/2.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 9, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ),
% 2.07/2.51 ~( member( pair( Y, T ), X ) ), member( pair( T,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), trancl( X ) ) ] )
% 2.07/2.51 , clause( 7967, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) )
% 2.07/2.51 ), ~( member( pair( Y, T ), X ) ), member( pair( T,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), trancl( X ) ) ] )
% 2.07/2.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.07/2.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 2.07/2.51 ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 10, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ),
% 2.07/2.51 ~( member( pair( Y, T ), X ) ), member( pair( Z,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), X ) ] )
% 2.07/2.51 , clause( 7968, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) )
% 2.07/2.51 ), ~( member( pair( Y, T ), X ) ), member( pair( Z,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), X ) ] )
% 2.07/2.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.07/2.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 2.07/2.51 ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 11, [ diamond( r ) ] )
% 2.07/2.51 , clause( 7969, [ diamond( r ) ] )
% 2.07/2.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 12, [ member( pair( y, ya ), r ) ] )
% 2.07/2.51 , clause( 7970, [ member( pair( y, ya ), r ) ] )
% 2.07/2.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 13, [ member( pair( y, yp ), trancl( r ) ) ] )
% 2.07/2.51 , clause( 7971, [ member( pair( y, yp ), trancl( r ) ) ] )
% 2.07/2.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 14, [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member( pair(
% 2.07/2.51 yp, X ), trancl( r ) ) ) ] )
% 2.07/2.51 , clause( 7972, [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member(
% 2.07/2.51 pair( yp, X ), trancl( r ) ) ) ] )
% 2.07/2.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.07/2.51 1 )] ) ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 resolution(
% 2.07/2.51 clause( 8063, [ ~( diamond( r ) ), ~( member( pair( y, X ), r ) ), member(
% 2.07/2.51 pair( X, 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), trancl( r ) ) ] )
% 2.07/2.51 , clause( 9, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) )
% 2.07/2.51 , ~( member( pair( Y, T ), X ) ), member( pair( T,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), trancl( X ) ) ] )
% 2.07/2.51 , 1, clause( 13, [ member( pair( y, yp ), trancl( r ) ) ] )
% 2.07/2.51 , 0, substitution( 0, [ :=( X, r ), :=( Y, y ), :=( Z, yp ), :=( T, X )] )
% 2.07/2.51 , substitution( 1, [] )).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 resolution(
% 2.07/2.51 clause( 8065, [ ~( member( pair( y, X ), r ) ), member( pair( X,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), trancl( r ) ) ] )
% 2.07/2.51 , clause( 8063, [ ~( diamond( r ) ), ~( member( pair( y, X ), r ) ), member(
% 2.07/2.51 pair( X, 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), trancl( r ) ) ] )
% 2.07/2.51 , 0, clause( 11, [ diamond( r ) ] )
% 2.07/2.51 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 293, [ ~( member( pair( y, X ), r ) ), member( pair( X,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), trancl( r ) ) ] )
% 2.07/2.51 , clause( 8065, [ ~( member( pair( y, X ), r ) ), member( pair( X,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), trancl( r ) ) ] )
% 2.07/2.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.07/2.51 1 )] ) ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 resolution(
% 2.07/2.51 clause( 8066, [ ~( diamond( r ) ), ~( member( pair( y, X ), r ) ), member(
% 2.07/2.51 pair( yp, 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), r ) ] )
% 2.07/2.51 , clause( 10, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) )
% 2.07/2.51 , ~( member( pair( Y, T ), X ) ), member( pair( Z,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), X ) ] )
% 2.07/2.51 , 1, clause( 13, [ member( pair( y, yp ), trancl( r ) ) ] )
% 2.07/2.51 , 0, substitution( 0, [ :=( X, r ), :=( Y, y ), :=( Z, yp ), :=( T, X )] )
% 2.07/2.51 , substitution( 1, [] )).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 resolution(
% 2.07/2.51 clause( 8068, [ ~( member( pair( y, X ), r ) ), member( pair( yp,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), r ) ] )
% 2.07/2.51 , clause( 8066, [ ~( diamond( r ) ), ~( member( pair( y, X ), r ) ), member(
% 2.07/2.51 pair( yp, 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), r ) ] )
% 2.07/2.51 , 0, clause( 11, [ diamond( r ) ] )
% 2.07/2.51 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 327, [ ~( member( pair( y, X ), r ) ), member( pair( yp,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), r ) ] )
% 2.07/2.51 , clause( 8068, [ ~( member( pair( y, X ), r ) ), member( pair( yp,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), r ) ] )
% 2.07/2.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.07/2.51 1 )] ) ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 resolution(
% 2.07/2.51 clause( 8070, [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member( pair(
% 2.07/2.51 yp, X ), r ) ) ] )
% 2.07/2.51 , clause( 14, [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member( pair(
% 2.07/2.51 yp, X ), trancl( r ) ) ) ] )
% 2.07/2.51 , 1, clause( 6, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ),
% 2.07/2.51 trancl( Z ) ) ] )
% 2.07/2.51 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, yp ), :=(
% 2.07/2.51 Y, X ), :=( Z, r )] )).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 360, [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member( pair(
% 2.07/2.51 yp, X ), r ) ) ] )
% 2.07/2.51 , clause( 8070, [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member(
% 2.07/2.51 pair( yp, X ), r ) ) ] )
% 2.07/2.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.07/2.51 1 )] ) ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 resolution(
% 2.07/2.51 clause( 8071, [ ~( member( pair( yp, 'diamond_strip_lemmaD_sk1'( y, yp, ya
% 2.07/2.51 , r ) ), r ) ), ~( member( pair( y, ya ), r ) ) ] )
% 2.07/2.51 , clause( 360, [ ~( member( pair( ya, X ), trancl( r ) ) ), ~( member( pair(
% 2.07/2.51 yp, X ), r ) ) ] )
% 2.07/2.51 , 0, clause( 293, [ ~( member( pair( y, X ), r ) ), member( pair( X,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), trancl( r ) ) ] )
% 2.07/2.51 , 1, substitution( 0, [ :=( X, 'diamond_strip_lemmaD_sk1'( y, yp, ya, r ) )] )
% 2.07/2.51 , substitution( 1, [ :=( X, ya )] )).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 resolution(
% 2.07/2.51 clause( 8072, [ ~( member( pair( yp, 'diamond_strip_lemmaD_sk1'( y, yp, ya
% 2.07/2.51 , r ) ), r ) ) ] )
% 2.07/2.51 , clause( 8071, [ ~( member( pair( yp, 'diamond_strip_lemmaD_sk1'( y, yp,
% 2.07/2.51 ya, r ) ), r ) ), ~( member( pair( y, ya ), r ) ) ] )
% 2.07/2.51 , 1, clause( 12, [ member( pair( y, ya ), r ) ] )
% 2.07/2.51 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 6357, [ ~( member( pair( yp, 'diamond_strip_lemmaD_sk1'( y, yp, ya
% 2.07/2.51 , r ) ), r ) ) ] )
% 2.07/2.51 , clause( 8072, [ ~( member( pair( yp, 'diamond_strip_lemmaD_sk1'( y, yp,
% 2.07/2.51 ya, r ) ), r ) ) ] )
% 2.07/2.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 resolution(
% 2.07/2.51 clause( 8073, [ ~( member( pair( y, ya ), r ) ) ] )
% 2.07/2.51 , clause( 6357, [ ~( member( pair( yp, 'diamond_strip_lemmaD_sk1'( y, yp,
% 2.07/2.51 ya, r ) ), r ) ) ] )
% 2.07/2.51 , 0, clause( 327, [ ~( member( pair( y, X ), r ) ), member( pair( yp,
% 2.07/2.51 'diamond_strip_lemmaD_sk1'( y, yp, X, r ) ), r ) ] )
% 2.07/2.51 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, ya )] )).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 resolution(
% 2.07/2.51 clause( 8074, [] )
% 2.07/2.51 , clause( 8073, [ ~( member( pair( y, ya ), r ) ) ] )
% 2.07/2.51 , 0, clause( 12, [ member( pair( y, ya ), r ) ] )
% 2.07/2.51 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 subsumption(
% 2.07/2.51 clause( 7956, [] )
% 2.07/2.51 , clause( 8074, [] )
% 2.07/2.51 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 end.
% 2.07/2.51
% 2.07/2.51 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.07/2.51
% 2.07/2.51 Memory use:
% 2.07/2.51
% 2.07/2.51 space for terms: 129962
% 2.07/2.51 space for clauses: 347588
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 clauses generated: 368947
% 2.07/2.51 clauses kept: 7957
% 2.07/2.51 clauses selected: 1192
% 2.07/2.51 clauses deleted: 368
% 2.07/2.51 clauses inuse deleted: 324
% 2.07/2.51
% 2.07/2.51 subsentry: 246589
% 2.07/2.51 literals s-matched: 108488
% 2.07/2.51 literals matched: 105004
% 2.07/2.51 full subsumption: 40899
% 2.07/2.51
% 2.07/2.51 checksum: 1849650527
% 2.07/2.51
% 2.07/2.51
% 2.07/2.51 Bliksem ended
%------------------------------------------------------------------------------