TSTP Solution File: COL100-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 19.64s 20.02s
% Output : Refutation 19.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.11 % Command : bliksem %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % DateTime : Tue May 31 06:27:58 EDT 2022
% 0.11/0.30 % CPUTime :
% 19.64/20.02 *** allocated 10000 integers for termspace/termends
% 19.64/20.02 *** allocated 10000 integers for clauses
% 19.64/20.02 *** allocated 10000 integers for justifications
% 19.64/20.02 Bliksem 1.12
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Automatic Strategy Selection
% 19.64/20.02
% 19.64/20.02 Clauses:
% 19.64/20.02 [
% 19.64/20.02 [ ~( =( combK, combS ) ) ],
% 19.64/20.02 [ ~( =( combK, 'comb_app'( X, Y ) ) ) ],
% 19.64/20.02 [ ~( =( combS, 'comb_app'( X, Y ) ) ) ],
% 19.64/20.02 [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( X, Z ) ],
% 19.64/20.02 [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ],
% 19.64/20.02 [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ), 'comb_app'( Y,
% 19.64/20.02 T ) ) ],
% 19.64/20.02 [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ), trancl( Z ) ) ]
% 19.64/20.02 ,
% 19.64/20.02 [ trans( trancl( X ) ) ],
% 19.64/20.02 [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~( member( pair( Z, T
% 19.64/20.02 ), X ) ), member( pair( Y, T ), X ) ],
% 19.64/20.02 [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ), ~( member(
% 19.64/20.02 pair( Y, T ), X ) ), member( pair( T, 'diamond_strip_lemmaD_sk1'( Y, Z, T
% 19.64/20.02 , X ) ), trancl( X ) ) ],
% 19.64/20.02 [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ), ~( member(
% 19.64/20.02 pair( Y, T ), X ) ), member( pair( Z, 'diamond_strip_lemmaD_sk1'( Y, Z, T
% 19.64/20.02 , X ) ), X ) ],
% 19.64/20.02 [ diamond( r ) ],
% 19.64/20.02 [ member( pair( y, ya ), trancl( r ) ) ],
% 19.64/20.02 [ member( pair( ya, z ), r ) ],
% 19.64/20.02 [ ~( member( pair( y, X ), trancl( r ) ) ), member( pair( ya, sk1( X ) )
% 19.64/20.02 , trancl( r ) ) ],
% 19.64/20.02 [ ~( member( pair( y, X ), trancl( r ) ) ), member( pair( X, sk1( X ) )
% 19.64/20.02 , trancl( r ) ) ],
% 19.64/20.02 [ member( pair( y, yp ), trancl( r ) ) ],
% 19.64/20.02 [ ~( member( pair( z, X ), trancl( r ) ) ), ~( member( pair( yp, X ),
% 19.64/20.02 trancl( r ) ) ) ]
% 19.64/20.02 ] .
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 percentage equality = 0.285714, percentage horn = 1.000000
% 19.64/20.02 This is a problem with some equality
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Options Used:
% 19.64/20.02
% 19.64/20.02 useres = 1
% 19.64/20.02 useparamod = 1
% 19.64/20.02 useeqrefl = 1
% 19.64/20.02 useeqfact = 1
% 19.64/20.02 usefactor = 1
% 19.64/20.02 usesimpsplitting = 0
% 19.64/20.02 usesimpdemod = 5
% 19.64/20.02 usesimpres = 3
% 19.64/20.02
% 19.64/20.02 resimpinuse = 1000
% 19.64/20.02 resimpclauses = 20000
% 19.64/20.02 substype = eqrewr
% 19.64/20.02 backwardsubs = 1
% 19.64/20.02 selectoldest = 5
% 19.64/20.02
% 19.64/20.02 litorderings [0] = split
% 19.64/20.02 litorderings [1] = extend the termordering, first sorting on arguments
% 19.64/20.02
% 19.64/20.02 termordering = kbo
% 19.64/20.02
% 19.64/20.02 litapriori = 0
% 19.64/20.02 termapriori = 1
% 19.64/20.02 litaposteriori = 0
% 19.64/20.02 termaposteriori = 0
% 19.64/20.02 demodaposteriori = 0
% 19.64/20.02 ordereqreflfact = 0
% 19.64/20.02
% 19.64/20.02 litselect = negord
% 19.64/20.02
% 19.64/20.02 maxweight = 15
% 19.64/20.02 maxdepth = 30000
% 19.64/20.02 maxlength = 115
% 19.64/20.02 maxnrvars = 195
% 19.64/20.02 excuselevel = 1
% 19.64/20.02 increasemaxweight = 1
% 19.64/20.02
% 19.64/20.02 maxselected = 10000000
% 19.64/20.02 maxnrclauses = 10000000
% 19.64/20.02
% 19.64/20.02 showgenerated = 0
% 19.64/20.02 showkept = 0
% 19.64/20.02 showselected = 0
% 19.64/20.02 showdeleted = 0
% 19.64/20.02 showresimp = 1
% 19.64/20.02 showstatus = 2000
% 19.64/20.02
% 19.64/20.02 prologoutput = 1
% 19.64/20.02 nrgoals = 5000000
% 19.64/20.02 totalproof = 1
% 19.64/20.02
% 19.64/20.02 Symbols occurring in the translation:
% 19.64/20.02
% 19.64/20.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 19.64/20.02 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 19.64/20.02 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 19.64/20.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 19.64/20.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 19.64/20.02 combK [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 19.64/20.02 combS [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 19.64/20.02 'comb_app' [43, 2] (w:1, o:64, a:1, s:1, b:0),
% 19.64/20.02 pair [50, 2] (w:1, o:65, a:1, s:1, b:0),
% 19.64/20.02 member [52, 2] (w:1, o:66, a:1, s:1, b:0),
% 19.64/20.02 trancl [53, 1] (w:1, o:36, a:1, s:1, b:0),
% 19.64/20.02 trans [54, 1] (w:1, o:37, a:1, s:1, b:0),
% 19.64/20.02 diamond [56, 1] (w:1, o:38, a:1, s:1, b:0),
% 19.64/20.02 'diamond_strip_lemmaD_sk1' [60, 4] (w:1, o:67, a:1, s:1, b:0),
% 19.64/20.02 r [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 19.64/20.02 y [62, 0] (w:1, o:25, a:1, s:1, b:0),
% 19.64/20.02 ya [63, 0] (w:1, o:26, a:1, s:1, b:0),
% 19.64/20.02 z [64, 0] (w:1, o:28, a:1, s:1, b:0),
% 19.64/20.02 sk1 [65, 1] (w:1, o:35, a:1, s:1, b:0),
% 19.64/20.02 yp [66, 0] (w:1, o:27, a:1, s:1, b:0).
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Starting Search:
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 80648
% 19.64/20.02 Kept: 3144
% 19.64/20.02 Inuse: 443
% 19.64/20.02 Deleted: 9
% 19.64/20.02 Deletedinuse: 0
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 153125
% 19.64/20.02 Kept: 5146
% 19.64/20.02 Inuse: 669
% 19.64/20.02 Deleted: 138
% 19.64/20.02 Deletedinuse: 95
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 212780
% 19.64/20.02 Kept: 7150
% 19.64/20.02 Inuse: 908
% 19.64/20.02 Deleted: 251
% 19.64/20.02 Deletedinuse: 175
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 255834
% 19.64/20.02 Kept: 9150
% 19.64/20.02 Inuse: 1062
% 19.64/20.02 Deleted: 300
% 19.64/20.02 Deletedinuse: 223
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 309111
% 19.64/20.02 Kept: 11157
% 19.64/20.02 Inuse: 1258
% 19.64/20.02 Deleted: 324
% 19.64/20.02 Deletedinuse: 237
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 397308
% 19.64/20.02 Kept: 13162
% 19.64/20.02 Inuse: 1488
% 19.64/20.02 Deleted: 388
% 19.64/20.02 Deletedinuse: 291
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 437106
% 19.64/20.02 Kept: 15168
% 19.64/20.02 Inuse: 1610
% 19.64/20.02 Deleted: 419
% 19.64/20.02 Deletedinuse: 322
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 476376
% 19.64/20.02 Kept: 17179
% 19.64/20.02 Inuse: 1745
% 19.64/20.02 Deleted: 433
% 19.64/20.02 Deletedinuse: 335
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 544701
% 19.64/20.02 Kept: 19213
% 19.64/20.02 Inuse: 1982
% 19.64/20.02 Deleted: 435
% 19.64/20.02 Deletedinuse: 335
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying clauses:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 575379
% 19.64/20.02 Kept: 21261
% 19.64/20.02 Inuse: 2077
% 19.64/20.02 Deleted: 3320
% 19.64/20.02 Deletedinuse: 337
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 618396
% 19.64/20.02 Kept: 23264
% 19.64/20.02 Inuse: 2230
% 19.64/20.02 Deleted: 3320
% 19.64/20.02 Deletedinuse: 337
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 668216
% 19.64/20.02 Kept: 25268
% 19.64/20.02 Inuse: 2391
% 19.64/20.02 Deleted: 3321
% 19.64/20.02 Deletedinuse: 337
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 746634
% 19.64/20.02 Kept: 27268
% 19.64/20.02 Inuse: 2630
% 19.64/20.02 Deleted: 3321
% 19.64/20.02 Deletedinuse: 337
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 867937
% 19.64/20.02 Kept: 29417
% 19.64/20.02 Inuse: 2820
% 19.64/20.02 Deleted: 3321
% 19.64/20.02 Deletedinuse: 337
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 994626
% 19.64/20.02 Kept: 31419
% 19.64/20.02 Inuse: 3247
% 19.64/20.02 Deleted: 3321
% 19.64/20.02 Deletedinuse: 337
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 1063616
% 19.64/20.02 Kept: 33432
% 19.64/20.02 Inuse: 3459
% 19.64/20.02 Deleted: 3321
% 19.64/20.02 Deletedinuse: 337
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 1194744
% 19.64/20.02 Kept: 35432
% 19.64/20.02 Inuse: 3723
% 19.64/20.02 Deleted: 3321
% 19.64/20.02 Deletedinuse: 337
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 1335247
% 19.64/20.02 Kept: 37435
% 19.64/20.02 Inuse: 4106
% 19.64/20.02 Deleted: 3321
% 19.64/20.02 Deletedinuse: 337
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 1518280
% 19.64/20.02 Kept: 39442
% 19.64/20.02 Inuse: 4618
% 19.64/20.02 Deleted: 3323
% 19.64/20.02 Deletedinuse: 338
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying clauses:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 1640472
% 19.64/20.02 Kept: 41449
% 19.64/20.02 Inuse: 5009
% 19.64/20.02 Deleted: 3480
% 19.64/20.02 Deletedinuse: 338
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 1786346
% 19.64/20.02 Kept: 43450
% 19.64/20.02 Inuse: 5476
% 19.64/20.02 Deleted: 3480
% 19.64/20.02 Deletedinuse: 338
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Intermediate Status:
% 19.64/20.02 Generated: 1991390
% 19.64/20.02 Kept: 45457
% 19.64/20.02 Inuse: 6079
% 19.64/20.02 Deleted: 3480
% 19.64/20.02 Deletedinuse: 338
% 19.64/20.02
% 19.64/20.02 Resimplifying inuse:
% 19.64/20.02 Done
% 19.64/20.02
% 19.64/20.02
% 19.64/20.02 Bliksems!, er is een bewijs:
% 19.64/20.02 % SZS status Unsatisfiable
% 19.64/20.02 % SZS output start Refutation
% 19.64/20.02
% 19.64/20.02 clause( 4, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ]
% 19.64/20.02 )
% 19.64/20.02 .
% 19.64/20.02 clause( 5, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 19.64/20.02 'comb_app'( Y, T ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 6, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ), trancl(
% 19.64/20.02 Z ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 7, [ trans( trancl( X ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 8, [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~( member(
% 19.64/20.02 pair( Z, T ), X ) ), member( pair( Y, T ), X ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 9, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ),
% 19.64/20.02 ~( member( pair( Y, T ), X ) ), member( pair( T,
% 19.64/20.02 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), trancl( X ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 10, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ),
% 19.64/20.02 ~( member( pair( Y, T ), X ) ), member( pair( Z,
% 19.64/20.02 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), X ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 11, [ diamond( r ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 13, [ member( pair( ya, z ), r ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 14, [ ~( member( pair( y, X ), trancl( r ) ) ), member( pair( ya,
% 19.64/20.02 sk1( X ) ), trancl( r ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 15, [ ~( member( pair( y, X ), trancl( r ) ) ), member( pair( X,
% 19.64/20.02 sk1( X ) ), trancl( r ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 16, [ member( pair( y, yp ), trancl( r ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 17, [ ~( member( pair( z, X ), trancl( r ) ) ), ~( member( pair( yp
% 19.64/20.02 , X ), trancl( r ) ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 123, [ ~( =( X, U ) ), ~( =( Y, W ) ), =( 'comb_app'( Z, T ),
% 19.64/20.02 'comb_app'( U, W ) ), ~( =( X, Z ) ), ~( =( Y, T ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 372, [ ~( member( pair( ya, X ), trancl( r ) ) ), member( pair( X,
% 19.64/20.02 'diamond_strip_lemmaD_sk1'( ya, X, z, r ) ), r ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 402, [ member( pair( ya, sk1( yp ) ), trancl( r ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 493, [ member( pair( yp, sk1( yp ) ), trancl( r ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 507, [ ~( member( pair( sk1( yp ), X ), trancl( r ) ) ), member(
% 19.64/20.02 pair( yp, X ), trancl( r ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 571, [ ~( member( pair( yp, 'diamond_strip_lemmaD_sk1'( X, Y, z, r
% 19.64/20.02 ) ), trancl( r ) ) ), ~( member( pair( X, Y ), trancl( r ) ) ), ~(
% 19.64/20.02 member( pair( X, z ), r ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 1950, [ ~( =( X, Y ) ), ~( =( Z, T ) ), ~( =( X, U ) ), ~( =( Z, W
% 19.64/20.02 ) ), =( W, T ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 1952, [ ~( =( X, Y ) ), ~( =( X, Z ) ), ~( =( T, U ) ), =( U, T ) ]
% 19.64/20.02 )
% 19.64/20.02 .
% 19.64/20.02 clause( 1953, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( T, Z ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 1954, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 2913, [ member( pair( ya, sk1( yp ) ), trancl( X ) ), ~( =( X, r )
% 19.64/20.02 ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 12568, [ member( pair( sk1( yp ), 'diamond_strip_lemmaD_sk1'( ya,
% 19.64/20.02 sk1( yp ), z, r ) ), r ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 24469, [ ~( member( pair( yp, 'diamond_strip_lemmaD_sk1'( ya, sk1(
% 19.64/20.02 yp ), z, r ) ), trancl( r ) ) ) ] )
% 19.64/20.02 .
% 19.64/20.02 clause( 45719, [ ~( member( pair( sk1( yp ), 'diamond_strip_lemmaD_sk1'( ya
% 19.64/20.03 , sk1( yp ), z, r ) ), trancl( r ) ) ) ] )
% 19.64/20.03 .
% 19.64/20.03 clause( 46253, [] )
% 19.64/20.03 .
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 % SZS output end Refutation
% 19.64/20.03 found a proof!
% 19.64/20.03
% 19.64/20.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 19.64/20.03
% 19.64/20.03 initialclauses(
% 19.64/20.03 [ clause( 46255, [ ~( =( combK, combS ) ) ] )
% 19.64/20.03 , clause( 46256, [ ~( =( combK, 'comb_app'( X, Y ) ) ) ] )
% 19.64/20.03 , clause( 46257, [ ~( =( combS, 'comb_app'( X, Y ) ) ) ] )
% 19.64/20.03 , clause( 46258, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( X,
% 19.64/20.03 Z ) ] )
% 19.64/20.03 , clause( 46259, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y,
% 19.64/20.03 T ) ] )
% 19.64/20.03 , clause( 46260, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 19.64/20.03 'comb_app'( Y, T ) ) ] )
% 19.64/20.03 , clause( 46261, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ),
% 19.64/20.03 trancl( Z ) ) ] )
% 19.64/20.03 , clause( 46262, [ trans( trancl( X ) ) ] )
% 19.64/20.03 , clause( 46263, [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~(
% 19.64/20.03 member( pair( Z, T ), X ) ), member( pair( Y, T ), X ) ] )
% 19.64/20.03 , clause( 46264, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X )
% 19.64/20.03 ) ), ~( member( pair( Y, T ), X ) ), member( pair( T,
% 19.64/20.03 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), trancl( X ) ) ] )
% 19.64/20.03 , clause( 46265, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X )
% 19.64/20.03 ) ), ~( member( pair( Y, T ), X ) ), member( pair( Z,
% 19.64/20.03 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), X ) ] )
% 19.64/20.03 , clause( 46266, [ diamond( r ) ] )
% 19.64/20.03 , clause( 46267, [ member( pair( y, ya ), trancl( r ) ) ] )
% 19.64/20.03 , clause( 46268, [ member( pair( ya, z ), r ) ] )
% 19.64/20.03 , clause( 46269, [ ~( member( pair( y, X ), trancl( r ) ) ), member( pair(
% 19.64/20.03 ya, sk1( X ) ), trancl( r ) ) ] )
% 19.64/20.03 , clause( 46270, [ ~( member( pair( y, X ), trancl( r ) ) ), member( pair(
% 19.64/20.03 X, sk1( X ) ), trancl( r ) ) ] )
% 19.64/20.03 , clause( 46271, [ member( pair( y, yp ), trancl( r ) ) ] )
% 19.64/20.03 , clause( 46272, [ ~( member( pair( z, X ), trancl( r ) ) ), ~( member(
% 19.64/20.03 pair( yp, X ), trancl( r ) ) ) ] )
% 19.64/20.03 ] ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 4, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ]
% 19.64/20.03 )
% 19.64/20.03 , clause( 46259, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y,
% 19.64/20.03 T ) ] )
% 19.64/20.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 19.64/20.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 5, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 19.64/20.03 'comb_app'( Y, T ) ) ] )
% 19.64/20.03 , clause( 46260, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 19.64/20.03 'comb_app'( Y, T ) ) ] )
% 19.64/20.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 19.64/20.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 6, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ), trancl(
% 19.64/20.03 Z ) ) ] )
% 19.64/20.03 , clause( 46261, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ),
% 19.64/20.03 trancl( Z ) ) ] )
% 19.64/20.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 19.64/20.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 7, [ trans( trancl( X ) ) ] )
% 19.64/20.03 , clause( 46262, [ trans( trancl( X ) ) ] )
% 19.64/20.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 8, [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~( member(
% 19.64/20.03 pair( Z, T ), X ) ), member( pair( Y, T ), X ) ] )
% 19.64/20.03 , clause( 46263, [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~(
% 19.64/20.03 member( pair( Z, T ), X ) ), member( pair( Y, T ), X ) ] )
% 19.64/20.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 19.64/20.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 19.64/20.03 ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 9, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ),
% 19.64/20.03 ~( member( pair( Y, T ), X ) ), member( pair( T,
% 19.64/20.03 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), trancl( X ) ) ] )
% 19.64/20.03 , clause( 46264, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X )
% 19.64/20.03 ) ), ~( member( pair( Y, T ), X ) ), member( pair( T,
% 19.64/20.03 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), trancl( X ) ) ] )
% 19.64/20.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 19.64/20.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 19.64/20.03 ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 10, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X ) ) ),
% 19.64/20.03 ~( member( pair( Y, T ), X ) ), member( pair( Z,
% 19.64/20.03 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), X ) ] )
% 19.64/20.03 , clause( 46265, [ ~( diamond( X ) ), ~( member( pair( Y, Z ), trancl( X )
% 19.64/20.03 ) ), ~( member( pair( Y, T ), X ) ), member( pair( Z,
% 19.64/20.03 'diamond_strip_lemmaD_sk1'( Y, Z, T, X ) ), X ) ] )
% 19.64/20.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 19.64/20.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 19.64/20.03 ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 11, [ diamond( r ) ] )
% 19.64/20.03 , clause( 46266, [ diamond( r ) ] )
% 19.64/20.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 13, [ member( pair( ya, z ), r ) ] )
% 19.64/20.03 , clause( 46268, [ member( pair( ya, z ), r ) ] )
% 19.64/20.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 14, [ ~( member( pair( y, X ), trancl( r ) ) ), member( pair( ya,
% 19.64/20.03 sk1( X ) ), trancl( r ) ) ] )
% 19.64/20.03 , clause( 46269, [ ~( member( pair( y, X ), trancl( r ) ) ), member( pair(
% 19.64/20.03 ya, sk1( X ) ), trancl( r ) ) ] )
% 19.64/20.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 19.64/20.03 1 )] ) ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 15, [ ~( member( pair( y, X ), trancl( r ) ) ), member( pair( X,
% 19.64/20.03 sk1( X ) ), trancl( r ) ) ] )
% 19.64/20.03 , clause( 46270, [ ~( member( pair( y, X ), trancl( r ) ) ), member( pair(
% 19.64/20.03 X, sk1( X ) ), trancl( r ) ) ] )
% 19.64/20.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 19.64/20.03 1 )] ) ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 16, [ member( pair( y, yp ), trancl( r ) ) ] )
% 19.64/20.03 , clause( 46271, [ member( pair( y, yp ), trancl( r ) ) ] )
% 19.64/20.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 subsumption(
% 19.64/20.03 clause( 17, [ ~( member( pair( z, X ), trancl( r ) ) ), ~( member( pair( yp
% 19.64/20.03 , X ), trancl( r ) ) ) ] )
% 19.64/20.03 , clause( 46272, [ ~( member( pair( z, X ), trancl( r ) ) ), ~( member(
% 19.64/20.03 pair( yp, X ), trancl( r ) ) ) ] )
% 19.64/20.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 19.64/20.03 1 )] ) ).
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 assignments is full
% 19.64/20.03
% 19.64/20.03 Memory use:
% 19.64/20.03
% 19.64/20.03 space for terms: 728926
% 19.64/20.03 space for clauses: 2032789
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 clauses generated: 2028740
% 19.64/20.03 clauses kept: 46254
% 19.64/20.03 clauses selected: 6193
% 19.64/20.03 clauses deleted: 3480
% 19.64/20.03 clauses inuse deleted: 338
% 19.64/20.03
% 19.64/20.03 subsentry: 2695422
% 19.64/20.03 literals s-matched: 918194
% 19.64/20.03 literals matched: 888764
% 19.64/20.03 full subsumption: 344747
% 19.64/20.03
% 19.64/20.03 checksum: -2094562899
% 19.64/20.03
% 19.64/20.03
% 19.64/20.03 Bliksem ended
%------------------------------------------------------------------------------