TSTP Solution File: COL092-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL092-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 00:12:39 EDT 2022
% Result : Unsatisfiable 1.64s 1.93s
% Output : Refutation 1.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL092-1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.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 : Tue May 31 16:14:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.08 *** allocated 10000 integers for termspace/termends
% 0.44/1.08 *** allocated 10000 integers for clauses
% 0.44/1.08 *** allocated 10000 integers for justifications
% 0.44/1.08 Bliksem 1.12
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Automatic Strategy Selection
% 0.44/1.08
% 0.44/1.08 Clauses:
% 0.44/1.08 [
% 0.44/1.08 [ ~( =( combK, combS ) ) ],
% 0.44/1.08 [ ~( =( combK, 'comb_app'( X, Y ) ) ) ],
% 0.44/1.08 [ ~( =( combS, 'comb_app'( X, Y ) ) ) ],
% 0.44/1.08 [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( X, Z ) ],
% 0.44/1.08 [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ],
% 0.44/1.08 [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ), 'comb_app'( Y,
% 0.44/1.08 T ) ) ],
% 0.44/1.08 [ ~( member( 'comb_app'( X, Y ), comb ) ), member( X, comb ) ],
% 0.44/1.08 [ ~( member( 'comb_app'( X, Y ), comb ) ), member( Y, comb ) ],
% 0.44/1.08 [ member( combK, comb ) ],
% 0.44/1.08 [ member( combS, comb ) ],
% 0.44/1.08 [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member( 'comb_app'( X
% 0.44/1.08 , Y ), comb ) ],
% 0.44/1.08 [ ~( member( X, comb ) ), member( pair( X, X ), rtrancl( contract ) ) ]
% 0.44/1.08 ,
% 0.44/1.08 [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member( pair(
% 0.44/1.08 'comb_app'( 'comb_app'( combK, X ), Y ), X ), contract ) ],
% 0.44/1.08 [ ~( member( X, comb ) ), ~( member( Y, comb ) ), ~( member( Z, comb ) )
% 0.44/1.08 , member( pair( 'comb_app'( 'comb_app'( 'comb_app'( combS, X ), Y ), Z )
% 0.44/1.08 , 'comb_app'( 'comb_app'( X, Z ), 'comb_app'( Y, Z ) ) ), contract ) ]
% 0.44/1.08 ,
% 0.44/1.08 [ ~( member( pair( 'comb_app'( X, Y ), Z ), contract ) ),
% 0.44/1.08 'ap_contractE_c1'( X, Y, Z ), 'ap_contractE_c2'( X, Y, Z ),
% 0.44/1.08 'ap_contractE_c3'( X, Y, Z ), 'ap_contractE_c4'( X, Y, Z ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c1'( X, Y, Z ) ), member( Z, comb ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c1'( X, Y, Z ) ), member( Y, comb ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c1'( X, Y, Z ) ), =( X, 'comb_app'( combK, Z ) ) ]
% 0.44/1.08 ,
% 0.44/1.08 [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member( 'ap_contractE_sk1p'( X, Y,
% 0.44/1.08 Z ), comb ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member( 'ap_contractE_sk1q'( X, Y,
% 0.44/1.08 Z ), comb ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member( Y, comb ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c2'( X, Y, Z ) ), =( Z, 'comb_app'( 'comb_app'(
% 0.44/1.08 'ap_contractE_sk1p'( X, Y, Z ), Y ), 'comb_app'( 'ap_contractE_sk1q'( X,
% 0.44/1.08 Y, Z ), Y ) ) ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c2'( X, Y, Z ) ), =( X, 'comb_app'( 'comb_app'( combS
% 0.44/1.08 , 'ap_contractE_sk1p'( X, Y, Z ) ), 'ap_contractE_sk1q'( X, Y, Z ) ) ) ]
% 0.44/1.08 ,
% 0.44/1.08 [ ~( 'ap_contractE_c3'( X, Y, Z ) ), member( pair( X,
% 0.44/1.08 'ap_contractE_sk2q'( X, Y, Z ) ), contract ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c3'( X, Y, Z ) ), member( Y, comb ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c3'( X, Y, Z ) ), =( Z, 'comb_app'(
% 0.44/1.08 'ap_contractE_sk2q'( X, Y, Z ), Y ) ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c4'( X, Y, Z ) ), member( pair( Y,
% 0.44/1.08 'ap_contractE_sk3q'( X, Y, Z ) ), contract ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c4'( X, Y, Z ) ), member( X, comb ) ],
% 0.44/1.08 [ ~( 'ap_contractE_c4'( X, Y, Z ) ), =( Z, 'comb_app'( X,
% 0.44/1.08 'ap_contractE_sk3q'( X, Y, Z ) ) ) ],
% 0.44/1.08 [ ~( member( pair( combK, X ), contract ) ) ],
% 0.44/1.08 [ ~( member( pair( combS, X ), contract ) ) ],
% 0.44/1.08 [ ~( member( X, comb ) ), member( pair( X, X ), parcontract ) ],
% 0.44/1.08 [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member( pair(
% 0.44/1.08 'comb_app'( 'comb_app'( combK, X ), Y ), X ), parcontract ) ],
% 0.44/1.08 [ ~( member( X, comb ) ), ~( member( Y, comb ) ), ~( member( Z, comb ) )
% 0.44/1.08 , member( pair( 'comb_app'( 'comb_app'( 'comb_app'( combS, X ), Y ), Z )
% 0.44/1.08 , 'comb_app'( 'comb_app'( X, Z ), 'comb_app'( Y, Z ) ) ), parcontract ) ]
% 0.44/1.08 ,
% 0.44/1.08 [ ~( member( pair( X, Y ), parcontract ) ), ~( member( pair( Z, T ),
% 0.44/1.08 parcontract ) ), member( pair( 'comb_app'( X, Z ), 'comb_app'( Y, T ) ),
% 0.44/1.08 parcontract ) ],
% 0.44/1.08 [ ~( member( pair( combK, X ), parcontract ) ), member( combK, comb ) ]
% 0.44/1.08 ,
% 0.44/1.08 [ ~( member( pair( combK, X ), parcontract ) ), =( X, combK ) ],
% 0.44/1.08 [ ~( member( pair( combS, X ), parcontract ) ), member( combS, comb ) ]
% 0.44/1.08 ,
% 0.44/1.08 [ ~( member( pair( combS, X ), parcontract ) ), =( X, combS ) ],
% 0.44/1.08 [ ~( member( pair( 'comb_app'( X, Y ), Z ), parcontract ) ),
% 0.44/1.08 'ap_parcontractE_c1'( X, Y, Z ), 'ap_parcontractE_c2'( X, Y, Z ),
% 0.44/1.08 'ap_parcontractE_c3'( X, Y, Z ), 'ap_parcontractE_c4'( X, Y, Z ) ],
% 0.44/1.08 [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( 'comb_app'( X, Y ), comb
% 0.44/1.08 ) ],
% 0.44/1.08 [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), =( Z, 'comb_app'( X, Y ) ) ]
% 1.64/1.93 ,
% 1.64/1.93 [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), member( Z, comb ) ],
% 1.64/1.93 [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), member( Y, comb ) ],
% 1.64/1.93 [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), =( X, 'comb_app'( combK, Z ) ) ]
% 1.64/1.93 ,
% 1.64/1.93 [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member( 'ap_parcontractE_sk1p'(
% 1.64/1.93 X, Y, Z ), comb ) ],
% 1.64/1.93 [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member( 'ap_parcontractE_sk1q'(
% 1.64/1.93 X, Y, Z ), comb ) ],
% 1.64/1.93 [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member( Y, comb ) ],
% 1.64/1.93 [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( Z, 'comb_app'( 'comb_app'(
% 1.64/1.93 'ap_parcontractE_sk1p'( X, Y, Z ), Y ), 'comb_app'(
% 1.64/1.93 'ap_parcontractE_sk1q'( X, Y, Z ), Y ) ) ) ],
% 1.64/1.93 [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( X, 'comb_app'( 'comb_app'(
% 1.64/1.93 combS, 'ap_parcontractE_sk1p'( X, Y, Z ) ), 'ap_parcontractE_sk1q'( X, Y
% 1.64/1.93 , Z ) ) ) ],
% 1.64/1.93 [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( X,
% 1.64/1.93 'ap_parcontractE_sk2q'( X, Y, Z ) ), parcontract ) ],
% 1.64/1.93 [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( Y,
% 1.64/1.93 'ap_parcontractE_sk2s'( X, Y, Z ) ), parcontract ) ],
% 1.64/1.93 [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), =( Z, 'comb_app'(
% 1.64/1.93 'ap_parcontractE_sk2q'( X, Y, Z ), 'ap_parcontractE_sk2s'( X, Y, Z ) ) )
% 1.64/1.93 ],
% 1.64/1.93 [ member( pair( 'comb_app'( combK, p ), r ), parcontract ) ],
% 1.64/1.93 [ ~( =( r, 'comb_app'( combK, X ) ) ), ~( member( pair( p, X ),
% 1.64/1.93 parcontract ) ) ]
% 1.64/1.93 ] .
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 percentage equality = 0.203540, percentage horn = 0.962264
% 1.64/1.93 This is a problem with some equality
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 Options Used:
% 1.64/1.93
% 1.64/1.93 useres = 1
% 1.64/1.93 useparamod = 1
% 1.64/1.93 useeqrefl = 1
% 1.64/1.93 useeqfact = 1
% 1.64/1.93 usefactor = 1
% 1.64/1.93 usesimpsplitting = 0
% 1.64/1.93 usesimpdemod = 5
% 1.64/1.93 usesimpres = 3
% 1.64/1.93
% 1.64/1.93 resimpinuse = 1000
% 1.64/1.93 resimpclauses = 20000
% 1.64/1.93 substype = eqrewr
% 1.64/1.93 backwardsubs = 1
% 1.64/1.93 selectoldest = 5
% 1.64/1.93
% 1.64/1.93 litorderings [0] = split
% 1.64/1.93 litorderings [1] = extend the termordering, first sorting on arguments
% 1.64/1.93
% 1.64/1.93 termordering = kbo
% 1.64/1.93
% 1.64/1.93 litapriori = 0
% 1.64/1.93 termapriori = 1
% 1.64/1.93 litaposteriori = 0
% 1.64/1.93 termaposteriori = 0
% 1.64/1.93 demodaposteriori = 0
% 1.64/1.93 ordereqreflfact = 0
% 1.64/1.93
% 1.64/1.93 litselect = negord
% 1.64/1.93
% 1.64/1.93 maxweight = 15
% 1.64/1.93 maxdepth = 30000
% 1.64/1.93 maxlength = 115
% 1.64/1.93 maxnrvars = 195
% 1.64/1.93 excuselevel = 1
% 1.64/1.93 increasemaxweight = 1
% 1.64/1.93
% 1.64/1.93 maxselected = 10000000
% 1.64/1.93 maxnrclauses = 10000000
% 1.64/1.93
% 1.64/1.93 showgenerated = 0
% 1.64/1.93 showkept = 0
% 1.64/1.93 showselected = 0
% 1.64/1.93 showdeleted = 0
% 1.64/1.93 showresimp = 1
% 1.64/1.93 showstatus = 2000
% 1.64/1.93
% 1.64/1.93 prologoutput = 1
% 1.64/1.93 nrgoals = 5000000
% 1.64/1.93 totalproof = 1
% 1.64/1.93
% 1.64/1.93 Symbols occurring in the translation:
% 1.64/1.93
% 1.64/1.93 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.64/1.93 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 1.64/1.93 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 1.64/1.93 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.64/1.93 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.64/1.93 combK [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.64/1.93 combS [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.64/1.93 'comb_app' [43, 2] (w:1, o:57, a:1, s:1, b:0),
% 1.64/1.93 comb [48, 0] (w:1, o:18, a:1, s:1, b:0),
% 1.64/1.93 member [49, 2] (w:1, o:58, a:1, s:1, b:0),
% 1.64/1.93 pair [51, 2] (w:1, o:59, a:1, s:1, b:0),
% 1.64/1.93 contract [52, 0] (w:1, o:20, a:1, s:1, b:0),
% 1.64/1.93 rtrancl [53, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.64/1.93 'ap_contractE_c1' [55, 3] (w:1, o:60, a:1, s:1, b:0),
% 1.64/1.93 'ap_contractE_c2' [56, 3] (w:1, o:61, a:1, s:1, b:0),
% 1.64/1.93 'ap_contractE_c3' [57, 3] (w:1, o:62, a:1, s:1, b:0),
% 1.64/1.93 'ap_contractE_c4' [58, 3] (w:1, o:63, a:1, s:1, b:0),
% 1.64/1.93 'ap_contractE_sk1p' [59, 3] (w:1, o:64, a:1, s:1, b:0),
% 1.64/1.93 'ap_contractE_sk1q' [60, 3] (w:1, o:65, a:1, s:1, b:0),
% 1.64/1.93 'ap_contractE_sk2q' [61, 3] (w:1, o:66, a:1, s:1, b:0),
% 1.64/1.93 'ap_contractE_sk3q' [62, 3] (w:1, o:67, a:1, s:1, b:0),
% 1.64/1.93 parcontract [63, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.64/1.93 'ap_parcontractE_c1' [65, 3] (w:1, o:68, a:1, s:1, b:0),
% 1.64/1.93 'ap_parcontractE_c2' [66, 3] (w:1, o:69, a:1, s:1, b:0),
% 1.64/1.93 'ap_parcontractE_c3' [67, 3] (w:1, o:70, a:1, s:1, b:0),
% 1.64/1.93 'ap_parcontractE_c4' [68, 3] (w:1, o:71, a:1, s:1, b:0),
% 1.64/1.93 'ap_parcontractE_sk1p' [69, 3] (w:1, o:72, a:1, s:1, b:0),
% 1.64/1.93 'ap_parcontractE_sk1q' [70, 3] (w:1, o:73, a:1, s:1, b:0),
% 1.64/1.93 'ap_parcontractE_sk2q' [71, 3] (w:1, o:74, a:1, s:1, b:0),
% 1.64/1.93 'ap_parcontractE_sk2s' [72, 3] (w:1, o:75, a:1, s:1, b:0),
% 1.64/1.93 p [73, 0] (w:1, o:24, a:1, s:1, b:0),
% 1.64/1.93 r [74, 0] (w:1, o:25, a:1, s:1, b:0).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 Starting Search:
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 Intermediate Status:
% 1.64/1.93 Generated: 6237
% 1.64/1.93 Kept: 2174
% 1.64/1.93 Inuse: 119
% 1.64/1.93 Deleted: 2
% 1.64/1.93 Deletedinuse: 0
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 Intermediate Status:
% 1.64/1.93 Generated: 12966
% 1.64/1.93 Kept: 4197
% 1.64/1.93 Inuse: 212
% 1.64/1.93 Deleted: 8
% 1.64/1.93 Deletedinuse: 0
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 Intermediate Status:
% 1.64/1.93 Generated: 33349
% 1.64/1.93 Kept: 6204
% 1.64/1.93 Inuse: 341
% 1.64/1.93 Deleted: 41
% 1.64/1.93 Deletedinuse: 9
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 Intermediate Status:
% 1.64/1.93 Generated: 51740
% 1.64/1.93 Kept: 8231
% 1.64/1.93 Inuse: 455
% 1.64/1.93 Deleted: 43
% 1.64/1.93 Deletedinuse: 9
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 Intermediate Status:
% 1.64/1.93 Generated: 85430
% 1.64/1.93 Kept: 10239
% 1.64/1.93 Inuse: 542
% 1.64/1.93 Deleted: 50
% 1.64/1.93 Deletedinuse: 9
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 Intermediate Status:
% 1.64/1.93 Generated: 112707
% 1.64/1.93 Kept: 12269
% 1.64/1.93 Inuse: 672
% 1.64/1.93 Deleted: 54
% 1.64/1.93 Deletedinuse: 9
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93 Resimplifying inuse:
% 1.64/1.93 Done
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 Bliksems!, er is een bewijs:
% 1.64/1.93 % SZS status Unsatisfiable
% 1.64/1.93 % SZS output start Refutation
% 1.64/1.93
% 1.64/1.93 clause( 1, [ ~( =( 'comb_app'( X, Y ), combK ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 4, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ]
% 1.64/1.93 )
% 1.64/1.93 .
% 1.64/1.93 clause( 5, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 1.64/1.93 'comb_app'( Y, T ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 7, [ ~( member( 'comb_app'( X, Y ), comb ) ), member( Y, comb ) ]
% 1.64/1.93 )
% 1.64/1.93 .
% 1.64/1.93 clause( 31, [ ~( member( X, comb ) ), member( pair( X, X ), parcontract ) ]
% 1.64/1.93 )
% 1.64/1.93 .
% 1.64/1.93 clause( 35, [ ~( member( pair( combK, X ), parcontract ) ), =( X, combK ) ]
% 1.64/1.93 )
% 1.64/1.93 .
% 1.64/1.93 clause( 37, [ ~( member( pair( 'comb_app'( X, Y ), Z ), parcontract ) ),
% 1.64/1.93 'ap_parcontractE_c1'( X, Y, Z ), 'ap_parcontractE_c2'( X, Y, Z ),
% 1.64/1.93 'ap_parcontractE_c3'( X, Y, Z ), 'ap_parcontractE_c4'( X, Y, Z ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 38, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( 'comb_app'( X,
% 1.64/1.93 Y ), comb ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 39, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), =( Z, 'comb_app'( X, Y
% 1.64/1.93 ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 42, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), =( X, 'comb_app'( combK
% 1.64/1.93 , Z ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 47, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( 'comb_app'(
% 1.64/1.93 'comb_app'( combS, 'ap_parcontractE_sk1p'( X, Y, Z ) ),
% 1.64/1.93 'ap_parcontractE_sk1q'( X, Y, Z ) ), X ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 48, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( X,
% 1.64/1.93 'ap_parcontractE_sk2q'( X, Y, Z ) ), parcontract ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 49, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( Y,
% 1.64/1.93 'ap_parcontractE_sk2s'( X, Y, Z ) ), parcontract ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 50, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), =( 'comb_app'(
% 1.64/1.93 'ap_parcontractE_sk2q'( X, Y, Z ), 'ap_parcontractE_sk2s'( X, Y, Z ) ), Z
% 1.64/1.93 ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 51, [ member( pair( 'comb_app'( combK, p ), r ), parcontract ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 52, [ ~( =( 'comb_app'( combK, X ), r ) ), ~( member( pair( p, X )
% 1.64/1.93 , parcontract ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 124, [ ~( =( X, U ) ), ~( =( Y, W ) ), =( 'comb_app'( Z, T ),
% 1.64/1.93 'comb_app'( U, W ) ), ~( =( X, Z ) ), ~( =( Y, T ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 222, [ member( pair( 'comb_app'( X, Y ), r ), parcontract ), ~( =(
% 1.64/1.93 combK, X ) ), ~( =( p, Y ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 236, [ member( pair( 'comb_app'( X, p ), r ), parcontract ), ~( =(
% 1.64/1.93 combK, X ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 2392, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( Y, comb ) ]
% 1.64/1.93 )
% 1.64/1.93 .
% 1.64/1.93 clause( 3249, [ ~( =( Y, combK ) ), ~( 'ap_parcontractE_c2'( Y, Z, X ) ) ]
% 1.64/1.93 )
% 1.64/1.93 .
% 1.64/1.93 clause( 3254, [ ~( 'ap_parcontractE_c2'( combK, X, Y ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 3514, [ ~( 'ap_parcontractE_c3'( combK, X, Y ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 3732, [ ~( =( 'comb_app'( combK, p ), r ) ), ~( member( p, comb ) )
% 1.64/1.93 ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 4453, [ ~( =( X, r ) ), ~( member( p, comb ) ), ~(
% 1.64/1.93 'ap_parcontractE_c1'( combK, p, X ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 4473, [ ~( member( p, comb ) ), ~( 'ap_parcontractE_c1'( combK, p,
% 1.64/1.93 r ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 4551, [ ~( 'ap_parcontractE_c1'( combK, p, r ) ), ~(
% 1.64/1.93 'ap_parcontractE_c1'( X, p, Y ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 4566, [ ~( 'ap_parcontractE_c1'( combK, p, r ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 8739, [ ~( =( X, Y ) ), ~( =( Z, T ) ), ~( =( X, U ) ), ~( =( Z, W
% 1.64/1.93 ) ), =( W, T ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 8741, [ ~( =( X, Y ) ), ~( =( X, Z ) ), ~( =( T, U ) ), =( U, T ) ]
% 1.64/1.93 )
% 1.64/1.93 .
% 1.64/1.93 clause( 8742, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( T, Z ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 8743, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 9020, [ ~( 'ap_parcontractE_c1'( X, p, r ) ), ~( =( X, combK ) ) ]
% 1.64/1.93 )
% 1.64/1.93 .
% 1.64/1.93 clause( 9399, [ ~( =( X, combK ) ), 'ap_parcontractE_c2'( X, p, r ),
% 1.64/1.93 'ap_parcontractE_c3'( X, p, r ), 'ap_parcontractE_c4'( X, p, r ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 9418, [ 'ap_parcontractE_c3'( combK, p, r ), 'ap_parcontractE_c4'(
% 1.64/1.93 combK, p, r ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 9481, [ 'ap_parcontractE_c4'( combK, p, r ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 9485, [ member( pair( p, 'ap_parcontractE_sk2s'( combK, p, r ) ),
% 1.64/1.93 parcontract ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 9486, [ member( pair( combK, 'ap_parcontractE_sk2q'( combK, p, r )
% 1.64/1.93 ), parcontract ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 13405, [ ~( =( 'comb_app'( combK, 'ap_parcontractE_sk2s'( combK, p
% 1.64/1.93 , r ) ), r ) ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 13603, [ =( 'ap_parcontractE_sk2q'( combK, p, r ), combK ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 13664, [ =( 'comb_app'( combK, 'ap_parcontractE_sk2s'( combK, p, r
% 1.64/1.93 ) ), r ) ] )
% 1.64/1.93 .
% 1.64/1.93 clause( 13740, [] )
% 1.64/1.93 .
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 % SZS output end Refutation
% 1.64/1.93 found a proof!
% 1.64/1.93
% 1.64/1.93 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.64/1.93
% 1.64/1.93 initialclauses(
% 1.64/1.93 [ clause( 13742, [ ~( =( combK, combS ) ) ] )
% 1.64/1.93 , clause( 13743, [ ~( =( combK, 'comb_app'( X, Y ) ) ) ] )
% 1.64/1.93 , clause( 13744, [ ~( =( combS, 'comb_app'( X, Y ) ) ) ] )
% 1.64/1.93 , clause( 13745, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( X,
% 1.64/1.93 Z ) ] )
% 1.64/1.93 , clause( 13746, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y,
% 1.64/1.93 T ) ] )
% 1.64/1.93 , clause( 13747, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 1.64/1.93 'comb_app'( Y, T ) ) ] )
% 1.64/1.93 , clause( 13748, [ ~( member( 'comb_app'( X, Y ), comb ) ), member( X, comb
% 1.64/1.93 ) ] )
% 1.64/1.93 , clause( 13749, [ ~( member( 'comb_app'( X, Y ), comb ) ), member( Y, comb
% 1.64/1.93 ) ] )
% 1.64/1.93 , clause( 13750, [ member( combK, comb ) ] )
% 1.64/1.93 , clause( 13751, [ member( combS, comb ) ] )
% 1.64/1.93 , clause( 13752, [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member(
% 1.64/1.93 'comb_app'( X, Y ), comb ) ] )
% 1.64/1.93 , clause( 13753, [ ~( member( X, comb ) ), member( pair( X, X ), rtrancl(
% 1.64/1.93 contract ) ) ] )
% 1.64/1.93 , clause( 13754, [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member(
% 1.64/1.93 pair( 'comb_app'( 'comb_app'( combK, X ), Y ), X ), contract ) ] )
% 1.64/1.93 , clause( 13755, [ ~( member( X, comb ) ), ~( member( Y, comb ) ), ~(
% 1.64/1.93 member( Z, comb ) ), member( pair( 'comb_app'( 'comb_app'( 'comb_app'(
% 1.64/1.93 combS, X ), Y ), Z ), 'comb_app'( 'comb_app'( X, Z ), 'comb_app'( Y, Z )
% 1.64/1.93 ) ), contract ) ] )
% 1.64/1.93 , clause( 13756, [ ~( member( pair( 'comb_app'( X, Y ), Z ), contract ) ),
% 1.64/1.93 'ap_contractE_c1'( X, Y, Z ), 'ap_contractE_c2'( X, Y, Z ),
% 1.64/1.93 'ap_contractE_c3'( X, Y, Z ), 'ap_contractE_c4'( X, Y, Z ) ] )
% 1.64/1.93 , clause( 13757, [ ~( 'ap_contractE_c1'( X, Y, Z ) ), member( Z, comb ) ]
% 1.64/1.93 )
% 1.64/1.93 , clause( 13758, [ ~( 'ap_contractE_c1'( X, Y, Z ) ), member( Y, comb ) ]
% 1.64/1.93 )
% 1.64/1.93 , clause( 13759, [ ~( 'ap_contractE_c1'( X, Y, Z ) ), =( X, 'comb_app'(
% 1.64/1.93 combK, Z ) ) ] )
% 1.64/1.93 , clause( 13760, [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member(
% 1.64/1.93 'ap_contractE_sk1p'( X, Y, Z ), comb ) ] )
% 1.64/1.93 , clause( 13761, [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member(
% 1.64/1.93 'ap_contractE_sk1q'( X, Y, Z ), comb ) ] )
% 1.64/1.93 , clause( 13762, [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member( Y, comb ) ]
% 1.64/1.93 )
% 1.64/1.93 , clause( 13763, [ ~( 'ap_contractE_c2'( X, Y, Z ) ), =( Z, 'comb_app'(
% 1.64/1.93 'comb_app'( 'ap_contractE_sk1p'( X, Y, Z ), Y ), 'comb_app'(
% 1.64/1.93 'ap_contractE_sk1q'( X, Y, Z ), Y ) ) ) ] )
% 1.64/1.93 , clause( 13764, [ ~( 'ap_contractE_c2'( X, Y, Z ) ), =( X, 'comb_app'(
% 1.64/1.93 'comb_app'( combS, 'ap_contractE_sk1p'( X, Y, Z ) ), 'ap_contractE_sk1q'(
% 1.64/1.93 X, Y, Z ) ) ) ] )
% 1.64/1.93 , clause( 13765, [ ~( 'ap_contractE_c3'( X, Y, Z ) ), member( pair( X,
% 1.64/1.93 'ap_contractE_sk2q'( X, Y, Z ) ), contract ) ] )
% 1.64/1.93 , clause( 13766, [ ~( 'ap_contractE_c3'( X, Y, Z ) ), member( Y, comb ) ]
% 1.64/1.93 )
% 1.64/1.93 , clause( 13767, [ ~( 'ap_contractE_c3'( X, Y, Z ) ), =( Z, 'comb_app'(
% 1.64/1.93 'ap_contractE_sk2q'( X, Y, Z ), Y ) ) ] )
% 1.64/1.93 , clause( 13768, [ ~( 'ap_contractE_c4'( X, Y, Z ) ), member( pair( Y,
% 1.64/1.93 'ap_contractE_sk3q'( X, Y, Z ) ), contract ) ] )
% 1.64/1.93 , clause( 13769, [ ~( 'ap_contractE_c4'( X, Y, Z ) ), member( X, comb ) ]
% 1.64/1.93 )
% 1.64/1.93 , clause( 13770, [ ~( 'ap_contractE_c4'( X, Y, Z ) ), =( Z, 'comb_app'( X,
% 1.64/1.93 'ap_contractE_sk3q'( X, Y, Z ) ) ) ] )
% 1.64/1.93 , clause( 13771, [ ~( member( pair( combK, X ), contract ) ) ] )
% 1.64/1.93 , clause( 13772, [ ~( member( pair( combS, X ), contract ) ) ] )
% 1.64/1.93 , clause( 13773, [ ~( member( X, comb ) ), member( pair( X, X ),
% 1.64/1.93 parcontract ) ] )
% 1.64/1.93 , clause( 13774, [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member(
% 1.64/1.93 pair( 'comb_app'( 'comb_app'( combK, X ), Y ), X ), parcontract ) ] )
% 1.64/1.93 , clause( 13775, [ ~( member( X, comb ) ), ~( member( Y, comb ) ), ~(
% 1.64/1.93 member( Z, comb ) ), member( pair( 'comb_app'( 'comb_app'( 'comb_app'(
% 1.64/1.93 combS, X ), Y ), Z ), 'comb_app'( 'comb_app'( X, Z ), 'comb_app'( Y, Z )
% 1.64/1.93 ) ), parcontract ) ] )
% 1.64/1.93 , clause( 13776, [ ~( member( pair( X, Y ), parcontract ) ), ~( member(
% 1.64/1.93 pair( Z, T ), parcontract ) ), member( pair( 'comb_app'( X, Z ),
% 1.64/1.93 'comb_app'( Y, T ) ), parcontract ) ] )
% 1.64/1.93 , clause( 13777, [ ~( member( pair( combK, X ), parcontract ) ), member(
% 1.64/1.93 combK, comb ) ] )
% 1.64/1.93 , clause( 13778, [ ~( member( pair( combK, X ), parcontract ) ), =( X,
% 1.64/1.93 combK ) ] )
% 1.64/1.93 , clause( 13779, [ ~( member( pair( combS, X ), parcontract ) ), member(
% 1.64/1.93 combS, comb ) ] )
% 1.64/1.93 , clause( 13780, [ ~( member( pair( combS, X ), parcontract ) ), =( X,
% 1.64/1.93 combS ) ] )
% 1.64/1.93 , clause( 13781, [ ~( member( pair( 'comb_app'( X, Y ), Z ), parcontract )
% 1.64/1.93 ), 'ap_parcontractE_c1'( X, Y, Z ), 'ap_parcontractE_c2'( X, Y, Z ),
% 1.64/1.93 'ap_parcontractE_c3'( X, Y, Z ), 'ap_parcontractE_c4'( X, Y, Z ) ] )
% 1.64/1.93 , clause( 13782, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( 'comb_app'(
% 1.64/1.93 X, Y ), comb ) ] )
% 1.64/1.93 , clause( 13783, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), =( Z, 'comb_app'(
% 1.64/1.93 X, Y ) ) ] )
% 1.64/1.93 , clause( 13784, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), member( Z, comb )
% 1.64/1.93 ] )
% 1.64/1.93 , clause( 13785, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), member( Y, comb )
% 1.64/1.93 ] )
% 1.64/1.93 , clause( 13786, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), =( X, 'comb_app'(
% 1.64/1.93 combK, Z ) ) ] )
% 1.64/1.93 , clause( 13787, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member(
% 1.64/1.93 'ap_parcontractE_sk1p'( X, Y, Z ), comb ) ] )
% 1.64/1.93 , clause( 13788, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member(
% 1.64/1.93 'ap_parcontractE_sk1q'( X, Y, Z ), comb ) ] )
% 1.64/1.93 , clause( 13789, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member( Y, comb )
% 1.64/1.93 ] )
% 1.64/1.93 , clause( 13790, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( Z, 'comb_app'(
% 1.64/1.93 'comb_app'( 'ap_parcontractE_sk1p'( X, Y, Z ), Y ), 'comb_app'(
% 1.64/1.93 'ap_parcontractE_sk1q'( X, Y, Z ), Y ) ) ) ] )
% 1.64/1.93 , clause( 13791, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( X, 'comb_app'(
% 1.64/1.93 'comb_app'( combS, 'ap_parcontractE_sk1p'( X, Y, Z ) ),
% 1.64/1.93 'ap_parcontractE_sk1q'( X, Y, Z ) ) ) ] )
% 1.64/1.93 , clause( 13792, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( X,
% 1.64/1.93 'ap_parcontractE_sk2q'( X, Y, Z ) ), parcontract ) ] )
% 1.64/1.93 , clause( 13793, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( Y,
% 1.64/1.93 'ap_parcontractE_sk2s'( X, Y, Z ) ), parcontract ) ] )
% 1.64/1.93 , clause( 13794, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), =( Z, 'comb_app'(
% 1.64/1.93 'ap_parcontractE_sk2q'( X, Y, Z ), 'ap_parcontractE_sk2s'( X, Y, Z ) ) )
% 1.64/1.93 ] )
% 1.64/1.93 , clause( 13795, [ member( pair( 'comb_app'( combK, p ), r ), parcontract )
% 1.64/1.93 ] )
% 1.64/1.93 , clause( 13796, [ ~( =( r, 'comb_app'( combK, X ) ) ), ~( member( pair( p
% 1.64/1.93 , X ), parcontract ) ) ] )
% 1.64/1.93 ] ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 eqswap(
% 1.64/1.93 clause( 13798, [ ~( =( 'comb_app'( X, Y ), combK ) ) ] )
% 1.64/1.93 , clause( 13743, [ ~( =( combK, 'comb_app'( X, Y ) ) ) ] )
% 1.64/1.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 1, [ ~( =( 'comb_app'( X, Y ), combK ) ) ] )
% 1.64/1.93 , clause( 13798, [ ~( =( 'comb_app'( X, Y ), combK ) ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.64/1.93 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 4, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ]
% 1.64/1.93 )
% 1.64/1.93 , clause( 13746, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y,
% 1.64/1.93 T ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.64/1.93 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 5, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 1.64/1.93 'comb_app'( Y, T ) ) ] )
% 1.64/1.93 , clause( 13747, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 1.64/1.93 'comb_app'( Y, T ) ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.64/1.93 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 7, [ ~( member( 'comb_app'( X, Y ), comb ) ), member( Y, comb ) ]
% 1.64/1.93 )
% 1.64/1.93 , clause( 13749, [ ~( member( 'comb_app'( X, Y ), comb ) ), member( Y, comb
% 1.64/1.93 ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.64/1.93 ), ==>( 1, 1 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 31, [ ~( member( X, comb ) ), member( pair( X, X ), parcontract ) ]
% 1.64/1.93 )
% 1.64/1.93 , clause( 13773, [ ~( member( X, comb ) ), member( pair( X, X ),
% 1.64/1.93 parcontract ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.64/1.93 1 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 35, [ ~( member( pair( combK, X ), parcontract ) ), =( X, combK ) ]
% 1.64/1.93 )
% 1.64/1.93 , clause( 13778, [ ~( member( pair( combK, X ), parcontract ) ), =( X,
% 1.64/1.93 combK ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.64/1.93 1 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 37, [ ~( member( pair( 'comb_app'( X, Y ), Z ), parcontract ) ),
% 1.64/1.93 'ap_parcontractE_c1'( X, Y, Z ), 'ap_parcontractE_c2'( X, Y, Z ),
% 1.64/1.93 'ap_parcontractE_c3'( X, Y, Z ), 'ap_parcontractE_c4'( X, Y, Z ) ] )
% 1.64/1.93 , clause( 13781, [ ~( member( pair( 'comb_app'( X, Y ), Z ), parcontract )
% 1.64/1.93 ), 'ap_parcontractE_c1'( X, Y, Z ), 'ap_parcontractE_c2'( X, Y, Z ),
% 1.64/1.93 'ap_parcontractE_c3'( X, Y, Z ), 'ap_parcontractE_c4'( X, Y, Z ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.64/1.93 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 1.64/1.93 ==>( 4, 4 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 38, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( 'comb_app'( X,
% 1.64/1.93 Y ), comb ) ] )
% 1.64/1.93 , clause( 13782, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( 'comb_app'(
% 1.64/1.93 X, Y ), comb ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.64/1.93 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 39, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), =( Z, 'comb_app'( X, Y
% 1.64/1.93 ) ) ] )
% 1.64/1.93 , clause( 13783, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), =( Z, 'comb_app'(
% 1.64/1.93 X, Y ) ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.64/1.93 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 42, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), =( X, 'comb_app'( combK
% 1.64/1.93 , Z ) ) ] )
% 1.64/1.93 , clause( 13786, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), =( X, 'comb_app'(
% 1.64/1.93 combK, Z ) ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.64/1.93 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 eqswap(
% 1.64/1.93 clause( 14042, [ =( 'comb_app'( 'comb_app'( combS, 'ap_parcontractE_sk1p'(
% 1.64/1.93 X, Y, Z ) ), 'ap_parcontractE_sk1q'( X, Y, Z ) ), X ), ~(
% 1.64/1.93 'ap_parcontractE_c3'( X, Y, Z ) ) ] )
% 1.64/1.93 , clause( 13791, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( X, 'comb_app'(
% 1.64/1.93 'comb_app'( combS, 'ap_parcontractE_sk1p'( X, Y, Z ) ),
% 1.64/1.93 'ap_parcontractE_sk1q'( X, Y, Z ) ) ) ] )
% 1.64/1.93 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 47, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( 'comb_app'(
% 1.64/1.93 'comb_app'( combS, 'ap_parcontractE_sk1p'( X, Y, Z ) ),
% 1.64/1.93 'ap_parcontractE_sk1q'( X, Y, Z ) ), X ) ] )
% 1.64/1.93 , clause( 14042, [ =( 'comb_app'( 'comb_app'( combS, 'ap_parcontractE_sk1p'(
% 1.64/1.93 X, Y, Z ) ), 'ap_parcontractE_sk1q'( X, Y, Z ) ), X ), ~(
% 1.64/1.93 'ap_parcontractE_c3'( X, Y, Z ) ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.64/1.93 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 48, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( X,
% 1.64/1.93 'ap_parcontractE_sk2q'( X, Y, Z ) ), parcontract ) ] )
% 1.64/1.93 , clause( 13792, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( X,
% 1.64/1.93 'ap_parcontractE_sk2q'( X, Y, Z ) ), parcontract ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.64/1.93 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 49, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( Y,
% 1.64/1.93 'ap_parcontractE_sk2s'( X, Y, Z ) ), parcontract ) ] )
% 1.64/1.93 , clause( 13793, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( Y,
% 1.64/1.93 'ap_parcontractE_sk2s'( X, Y, Z ) ), parcontract ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.64/1.93 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 eqswap(
% 1.64/1.93 clause( 14148, [ =( 'comb_app'( 'ap_parcontractE_sk2q'( Y, Z, X ),
% 1.64/1.93 'ap_parcontractE_sk2s'( Y, Z, X ) ), X ), ~( 'ap_parcontractE_c4'( Y, Z,
% 1.64/1.93 X ) ) ] )
% 1.64/1.93 , clause( 13794, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), =( Z, 'comb_app'(
% 1.64/1.93 'ap_parcontractE_sk2q'( X, Y, Z ), 'ap_parcontractE_sk2s'( X, Y, Z ) ) )
% 1.64/1.93 ] )
% 1.64/1.93 , 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 50, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), =( 'comb_app'(
% 1.64/1.93 'ap_parcontractE_sk2q'( X, Y, Z ), 'ap_parcontractE_sk2s'( X, Y, Z ) ), Z
% 1.64/1.93 ) ] )
% 1.64/1.93 , clause( 14148, [ =( 'comb_app'( 'ap_parcontractE_sk2q'( Y, Z, X ),
% 1.64/1.93 'ap_parcontractE_sk2s'( Y, Z, X ) ), X ), ~( 'ap_parcontractE_c4'( Y, Z,
% 1.64/1.93 X ) ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.64/1.93 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 51, [ member( pair( 'comb_app'( combK, p ), r ), parcontract ) ] )
% 1.64/1.93 , clause( 13795, [ member( pair( 'comb_app'( combK, p ), r ), parcontract )
% 1.64/1.93 ] )
% 1.64/1.93 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 eqswap(
% 1.64/1.93 clause( 14221, [ ~( =( 'comb_app'( combK, X ), r ) ), ~( member( pair( p, X
% 1.64/1.93 ), parcontract ) ) ] )
% 1.64/1.93 , clause( 13796, [ ~( =( r, 'comb_app'( combK, X ) ) ), ~( member( pair( p
% 1.64/1.93 , X ), parcontract ) ) ] )
% 1.64/1.93 , 0, substitution( 0, [ :=( X, X )] )).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 subsumption(
% 1.64/1.93 clause( 52, [ ~( =( 'comb_app'( combK, X ), r ) ), ~( member( pair( p, X )
% 1.64/1.93 , parcontract ) ) ] )
% 1.64/1.93 , clause( 14221, [ ~( =( 'comb_app'( combK, X ), r ) ), ~( member( pair( p
% 1.64/1.93 , X ), parcontract ) ) ] )
% 1.64/1.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.64/1.93 1 )] ) ).
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 assignments is full
% 1.64/1.93
% 1.64/1.93 Memory use:
% 1.64/1.93
% 1.64/1.93 space for terms: 221342
% 1.64/1.93 space for clauses: 608107
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 clauses generated: 126678
% 1.64/1.93 clauses kept: 13741
% 1.64/1.93 clauses selected: 741
% 1.64/1.93 clauses deleted: 60
% 1.64/1.93 clauses inuse deleted: 9
% 1.64/1.93
% 1.64/1.93 subsentry: 164961
% 1.64/1.93 literals s-matched: 102985
% 1.64/1.93 literals matched: 99048
% 1.64/1.93 full subsumption: 34977
% 1.64/1.93
% 1.64/1.93 checksum: 2051263344
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 Bliksem ended
%------------------------------------------------------------------------------