%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL093-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 00:12:40 EDT 2022
% Result : Unsatisfiable 2.14s 2.51s
% Output : Refutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL093-1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue May 31 16:20:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.09 *** allocated 10000 integers for termspace/termends
% 0.41/1.09 *** allocated 10000 integers for clauses
% 0.41/1.09 *** allocated 10000 integers for justifications
% 0.41/1.09 Bliksem 1.12
% 0.41/1.09
% 0.41/1.09
% 0.41/1.09 Automatic Strategy Selection
% 0.41/1.09
% 0.41/1.09 Clauses:
% 0.41/1.09 [
% 0.41/1.09 [ ~( =( combK, combS ) ) ],
% 0.41/1.09 [ ~( =( combK, 'comb_app'( X, Y ) ) ) ],
% 0.41/1.09 [ ~( =( combS, 'comb_app'( X, Y ) ) ) ],
% 0.41/1.09 [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( X, Z ) ],
% 0.41/1.09 [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ],
% 0.41/1.09 [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ), 'comb_app'( Y,
% 0.41/1.09 T ) ) ],
% 0.41/1.09 [ ~( member( 'comb_app'( X, Y ), comb ) ), member( X, comb ) ],
% 0.41/1.09 [ ~( member( 'comb_app'( X, Y ), comb ) ), member( Y, comb ) ],
% 0.41/1.09 [ member( combK, comb ) ],
% 0.41/1.09 [ member( combS, comb ) ],
% 0.41/1.09 [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member( 'comb_app'( X
% 0.41/1.09 , Y ), comb ) ],
% 0.41/1.09 [ ~( member( X, comb ) ), member( pair( X, X ), rtrancl( contract ) ) ]
% 0.41/1.09 ,
% 0.41/1.09 [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member( pair(
% 0.41/1.09 'comb_app'( 'comb_app'( combK, X ), Y ), X ), contract ) ],
% 0.41/1.09 [ ~( member( X, comb ) ), ~( member( Y, comb ) ), ~( member( Z, comb ) )
% 0.41/1.09 , member( pair( 'comb_app'( 'comb_app'( 'comb_app'( combS, X ), Y ), Z )
% 0.41/1.09 , 'comb_app'( 'comb_app'( X, Z ), 'comb_app'( Y, Z ) ) ), contract ) ]
% 0.41/1.09 ,
% 0.41/1.09 [ ~( member( pair( 'comb_app'( X, Y ), Z ), contract ) ),
% 0.41/1.09 'ap_contractE_c1'( X, Y, Z ), 'ap_contractE_c2'( X, Y, Z ),
% 0.41/1.09 'ap_contractE_c3'( X, Y, Z ), 'ap_contractE_c4'( X, Y, Z ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c1'( X, Y, Z ) ), member( Z, comb ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c1'( X, Y, Z ) ), member( Y, comb ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c1'( X, Y, Z ) ), =( X, 'comb_app'( combK, Z ) ) ]
% 0.41/1.09 ,
% 0.41/1.09 [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member( 'ap_contractE_sk1p'( X, Y,
% 0.41/1.09 Z ), comb ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member( 'ap_contractE_sk1q'( X, Y,
% 0.41/1.09 Z ), comb ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member( Y, comb ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c2'( X, Y, Z ) ), =( Z, 'comb_app'( 'comb_app'(
% 0.41/1.09 'ap_contractE_sk1p'( X, Y, Z ), Y ), 'comb_app'( 'ap_contractE_sk1q'( X,
% 0.41/1.09 Y, Z ), Y ) ) ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c2'( X, Y, Z ) ), =( X, 'comb_app'( 'comb_app'( combS
% 0.41/1.09 , 'ap_contractE_sk1p'( X, Y, Z ) ), 'ap_contractE_sk1q'( X, Y, Z ) ) ) ]
% 0.41/1.09 ,
% 0.41/1.09 [ ~( 'ap_contractE_c3'( X, Y, Z ) ), member( pair( X,
% 0.41/1.09 'ap_contractE_sk2q'( X, Y, Z ) ), contract ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c3'( X, Y, Z ) ), member( Y, comb ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c3'( X, Y, Z ) ), =( Z, 'comb_app'(
% 0.41/1.09 'ap_contractE_sk2q'( X, Y, Z ), Y ) ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c4'( X, Y, Z ) ), member( pair( Y,
% 0.41/1.09 'ap_contractE_sk3q'( X, Y, Z ) ), contract ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c4'( X, Y, Z ) ), member( X, comb ) ],
% 0.41/1.09 [ ~( 'ap_contractE_c4'( X, Y, Z ) ), =( Z, 'comb_app'( X,
% 0.41/1.09 'ap_contractE_sk3q'( X, Y, Z ) ) ) ],
% 0.41/1.09 [ ~( member( pair( combK, X ), contract ) ) ],
% 0.41/1.09 [ ~( member( pair( combS, X ), contract ) ) ],
% 0.41/1.09 [ ~( member( X, comb ) ), member( pair( X, X ), parcontract ) ],
% 0.41/1.09 [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member( pair(
% 0.41/1.09 'comb_app'( 'comb_app'( combK, X ), Y ), X ), parcontract ) ],
% 0.41/1.09 [ ~( member( X, comb ) ), ~( member( Y, comb ) ), ~( member( Z, comb ) )
% 0.41/1.09 , member( pair( 'comb_app'( 'comb_app'( 'comb_app'( combS, X ), Y ), Z )
% 0.41/1.09 , 'comb_app'( 'comb_app'( X, Z ), 'comb_app'( Y, Z ) ) ), parcontract ) ]
% 0.41/1.09 ,
% 0.41/1.09 [ ~( member( pair( X, Y ), parcontract ) ), ~( member( pair( Z, T ),
% 0.41/1.09 parcontract ) ), member( pair( 'comb_app'( X, Z ), 'comb_app'( Y, T ) ),
% 0.41/1.09 parcontract ) ],
% 0.41/1.09 [ ~( member( pair( combK, X ), parcontract ) ), member( combK, comb ) ]
% 0.41/1.09 ,
% 0.41/1.09 [ ~( member( pair( combK, X ), parcontract ) ), =( X, combK ) ],
% 0.41/1.09 [ ~( member( pair( combS, X ), parcontract ) ), member( combS, comb ) ]
% 0.41/1.09 ,
% 0.41/1.09 [ ~( member( pair( combS, X ), parcontract ) ), =( X, combS ) ],
% 0.41/1.09 [ ~( member( pair( 'comb_app'( X, Y ), Z ), parcontract ) ),
% 0.41/1.09 'ap_parcontractE_c1'( X, Y, Z ), 'ap_parcontractE_c2'( X, Y, Z ),
% 0.41/1.09 'ap_parcontractE_c3'( X, Y, Z ), 'ap_parcontractE_c4'( X, Y, Z ) ],
% 0.41/1.09 [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( 'comb_app'( X, Y ), comb
% 0.41/1.09 ) ],
% 0.41/1.09 [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), =( Z, 'comb_app'( X, Y ) ) ]
% 2.14/2.51 ,
% 2.14/2.51 [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), member( Z, comb ) ],
% 2.14/2.51 [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), member( Y, comb ) ],
% 2.14/2.51 [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), =( X, 'comb_app'( combK, Z ) ) ]
% 2.14/2.51 ,
% 2.14/2.51 [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member( 'ap_parcontractE_sk1p'(
% 2.14/2.51 X, Y, Z ), comb ) ],
% 2.14/2.51 [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member( 'ap_parcontractE_sk1q'(
% 2.14/2.51 X, Y, Z ), comb ) ],
% 2.14/2.51 [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member( Y, comb ) ],
% 2.14/2.51 [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( Z, 'comb_app'( 'comb_app'(
% 2.14/2.51 'ap_parcontractE_sk1p'( X, Y, Z ), Y ), 'comb_app'(
% 2.14/2.51 'ap_parcontractE_sk1q'( X, Y, Z ), Y ) ) ) ],
% 2.14/2.51 [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( X, 'comb_app'( 'comb_app'(
% 2.14/2.51 combS, 'ap_parcontractE_sk1p'( X, Y, Z ) ), 'ap_parcontractE_sk1q'( X, Y
% 2.14/2.51 , Z ) ) ) ],
% 2.14/2.51 [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( X,
% 2.14/2.51 'ap_parcontractE_sk2q'( X, Y, Z ) ), parcontract ) ],
% 2.14/2.51 [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( Y,
% 2.14/2.51 'ap_parcontractE_sk2s'( X, Y, Z ) ), parcontract ) ],
% 2.14/2.51 [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), =( Z, 'comb_app'(
% 2.14/2.51 'ap_parcontractE_sk2q'( X, Y, Z ), 'ap_parcontractE_sk2s'( X, Y, Z ) ) )
% 2.14/2.51 ],
% 2.14/2.51 [ member( pair( 'comb_app'( combS, p ), r ), parcontract ) ],
% 2.14/2.51 [ ~( =( r, 'comb_app'( combS, X ) ) ), ~( member( pair( p, X ),
% 2.14/2.51 parcontract ) ) ]
% 2.14/2.51 ] .
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 percentage equality = 0.203540, percentage horn = 0.962264
% 2.14/2.51 This is a problem with some equality
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Options Used:
% 2.14/2.51
% 2.14/2.51 useres = 1
% 2.14/2.51 useparamod = 1
% 2.14/2.51 useeqrefl = 1
% 2.14/2.51 useeqfact = 1
% 2.14/2.51 usefactor = 1
% 2.14/2.51 usesimpsplitting = 0
% 2.14/2.51 usesimpdemod = 5
% 2.14/2.51 usesimpres = 3
% 2.14/2.51
% 2.14/2.51 resimpinuse = 1000
% 2.14/2.51 resimpclauses = 20000
% 2.14/2.51 substype = eqrewr
% 2.14/2.51 backwardsubs = 1
% 2.14/2.51 selectoldest = 5
% 2.14/2.51
% 2.14/2.51 litorderings [0] = split
% 2.14/2.51 litorderings [1] = extend the termordering, first sorting on arguments
% 2.14/2.51
% 2.14/2.51 termordering = kbo
% 2.14/2.51
% 2.14/2.51 litapriori = 0
% 2.14/2.51 termapriori = 1
% 2.14/2.51 litaposteriori = 0
% 2.14/2.51 termaposteriori = 0
% 2.14/2.51 demodaposteriori = 0
% 2.14/2.51 ordereqreflfact = 0
% 2.14/2.51
% 2.14/2.51 litselect = negord
% 2.14/2.51
% 2.14/2.51 maxweight = 15
% 2.14/2.51 maxdepth = 30000
% 2.14/2.51 maxlength = 115
% 2.14/2.51 maxnrvars = 195
% 2.14/2.51 excuselevel = 1
% 2.14/2.51 increasemaxweight = 1
% 2.14/2.51
% 2.14/2.51 maxselected = 10000000
% 2.14/2.51 maxnrclauses = 10000000
% 2.14/2.51
% 2.14/2.51 showgenerated = 0
% 2.14/2.51 showkept = 0
% 2.14/2.51 showselected = 0
% 2.14/2.51 showdeleted = 0
% 2.14/2.51 showresimp = 1
% 2.14/2.51 showstatus = 2000
% 2.14/2.51
% 2.14/2.51 prologoutput = 1
% 2.14/2.51 nrgoals = 5000000
% 2.14/2.51 totalproof = 1
% 2.14/2.51
% 2.14/2.51 Symbols occurring in the translation:
% 2.14/2.51
% 2.14/2.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.14/2.51 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 2.14/2.51 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 2.14/2.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.14/2.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.14/2.51 combK [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.14/2.51 combS [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 2.14/2.51 'comb_app' [43, 2] (w:1, o:57, a:1, s:1, b:0),
% 2.14/2.51 comb [48, 0] (w:1, o:18, a:1, s:1, b:0),
% 2.14/2.51 member [49, 2] (w:1, o:58, a:1, s:1, b:0),
% 2.14/2.51 pair [51, 2] (w:1, o:59, a:1, s:1, b:0),
% 2.14/2.51 contract [52, 0] (w:1, o:20, a:1, s:1, b:0),
% 2.14/2.51 rtrancl [53, 1] (w:1, o:31, a:1, s:1, b:0),
% 2.14/2.51 'ap_contractE_c1' [55, 3] (w:1, o:60, a:1, s:1, b:0),
% 2.14/2.51 'ap_contractE_c2' [56, 3] (w:1, o:61, a:1, s:1, b:0),
% 2.14/2.51 'ap_contractE_c3' [57, 3] (w:1, o:62, a:1, s:1, b:0),
% 2.14/2.51 'ap_contractE_c4' [58, 3] (w:1, o:63, a:1, s:1, b:0),
% 2.14/2.51 'ap_contractE_sk1p' [59, 3] (w:1, o:64, a:1, s:1, b:0),
% 2.14/2.51 'ap_contractE_sk1q' [60, 3] (w:1, o:65, a:1, s:1, b:0),
% 2.14/2.51 'ap_contractE_sk2q' [61, 3] (w:1, o:66, a:1, s:1, b:0),
% 2.14/2.51 'ap_contractE_sk3q' [62, 3] (w:1, o:67, a:1, s:1, b:0),
% 2.14/2.51 parcontract [63, 0] (w:1, o:22, a:1, s:1, b:0),
% 2.14/2.51 'ap_parcontractE_c1' [65, 3] (w:1, o:68, a:1, s:1, b:0),
% 2.14/2.51 'ap_parcontractE_c2' [66, 3] (w:1, o:69, a:1, s:1, b:0),
% 2.14/2.51 'ap_parcontractE_c3' [67, 3] (w:1, o:70, a:1, s:1, b:0),
% 2.14/2.51 'ap_parcontractE_c4' [68, 3] (w:1, o:71, a:1, s:1, b:0),
% 2.14/2.51 'ap_parcontractE_sk1p' [69, 3] (w:1, o:72, a:1, s:1, b:0),
% 2.14/2.51 'ap_parcontractE_sk1q' [70, 3] (w:1, o:73, a:1, s:1, b:0),
% 2.14/2.51 'ap_parcontractE_sk2q' [71, 3] (w:1, o:74, a:1, s:1, b:0),
% 2.14/2.51 'ap_parcontractE_sk2s' [72, 3] (w:1, o:75, a:1, s:1, b:0),
% 2.14/2.51 p [73, 0] (w:1, o:24, a:1, s:1, b:0),
% 2.14/2.51 r [74, 0] (w:1, o:25, a:1, s:1, b:0).
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Starting Search:
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Intermediate Status:
% 2.14/2.51 Generated: 6236
% 2.14/2.51 Kept: 2171
% 2.14/2.51 Inuse: 119
% 2.14/2.51 Deleted: 2
% 2.14/2.51 Deletedinuse: 0
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Intermediate Status:
% 2.14/2.51 Generated: 12960
% 2.14/2.51 Kept: 4187
% 2.14/2.51 Inuse: 212
% 2.14/2.51 Deleted: 8
% 2.14/2.51 Deletedinuse: 0
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Intermediate Status:
% 2.14/2.51 Generated: 24124
% 2.14/2.51 Kept: 6192
% 2.14/2.51 Inuse: 296
% 2.14/2.51 Deleted: 18
% 2.14/2.51 Deletedinuse: 3
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Intermediate Status:
% 2.14/2.51 Generated: 40252
% 2.14/2.51 Kept: 8193
% 2.14/2.51 Inuse: 380
% 2.14/2.51 Deleted: 20
% 2.14/2.51 Deletedinuse: 5
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Intermediate Status:
% 2.14/2.51 Generated: 56936
% 2.14/2.51 Kept: 10215
% 2.14/2.51 Inuse: 469
% 2.14/2.51 Deleted: 20
% 2.14/2.51 Deletedinuse: 5
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Intermediate Status:
% 2.14/2.51 Generated: 74788
% 2.14/2.51 Kept: 13184
% 2.14/2.51 Inuse: 515
% 2.14/2.51 Deleted: 20
% 2.14/2.51 Deletedinuse: 5
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Intermediate Status:
% 2.14/2.51 Generated: 98402
% 2.14/2.51 Kept: 15191
% 2.14/2.51 Inuse: 560
% 2.14/2.51 Deleted: 27
% 2.14/2.51 Deletedinuse: 5
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Intermediate Status:
% 2.14/2.51 Generated: 120288
% 2.14/2.51 Kept: 17198
% 2.14/2.51 Inuse: 644
% 2.14/2.51 Deleted: 28
% 2.14/2.51 Deletedinuse: 5
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Intermediate Status:
% 2.14/2.51 Generated: 135222
% 2.14/2.51 Kept: 19200
% 2.14/2.51 Inuse: 725
% 2.14/2.51 Deleted: 33
% 2.14/2.51 Deletedinuse: 5
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51 Resimplifying clauses:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Intermediate Status:
% 2.14/2.51 Generated: 147861
% 2.14/2.51 Kept: 21218
% 2.14/2.51 Inuse: 780
% 2.14/2.51 Deleted: 801
% 2.14/2.51 Deletedinuse: 5
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51 Resimplifying inuse:
% 2.14/2.51 Done
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 Bliksems!, er is een bewijs:
% 2.14/2.51 % SZS status Unsatisfiable
% 2.14/2.51 % SZS output start Refutation
% 2.14/2.51
% 2.14/2.51 clause( 2, [ ~( =( 'comb_app'( X, Y ), combS ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 4, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ]
% 2.14/2.51 )
% 2.14/2.51 .
% 2.14/2.51 clause( 5, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 2.14/2.51 'comb_app'( Y, T ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 7, [ ~( member( 'comb_app'( X, Y ), comb ) ), member( Y, comb ) ]
% 2.14/2.51 )
% 2.14/2.51 .
% 2.14/2.51 clause( 31, [ ~( member( X, comb ) ), member( pair( X, X ), parcontract ) ]
% 2.14/2.51 )
% 2.14/2.51 .
% 2.14/2.51 clause( 36, [ ~( member( pair( combS, X ), parcontract ) ), =( X, combS ) ]
% 2.14/2.51 )
% 2.14/2.51 .
% 2.14/2.51 clause( 37, [ ~( member( pair( 'comb_app'( X, Y ), Z ), parcontract ) ),
% 2.14/2.51 'ap_parcontractE_c1'( X, Y, Z ), 'ap_parcontractE_c2'( X, Y, Z ),
% 2.14/2.51 'ap_parcontractE_c3'( X, Y, Z ), 'ap_parcontractE_c4'( X, Y, Z ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 38, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( 'comb_app'( X,
% 2.14/2.51 Y ), comb ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 39, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), =( Z, 'comb_app'( X, Y
% 2.14/2.51 ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 42, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), =( X, 'comb_app'( combK
% 2.14/2.51 , Z ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 47, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( 'comb_app'(
% 2.14/2.51 'comb_app'( combS, 'ap_parcontractE_sk1p'( X, Y, Z ) ),
% 2.14/2.51 'ap_parcontractE_sk1q'( X, Y, Z ) ), X ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 48, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( X,
% 2.14/2.51 'ap_parcontractE_sk2q'( X, Y, Z ) ), parcontract ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 49, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( Y,
% 2.14/2.51 'ap_parcontractE_sk2s'( X, Y, Z ) ), parcontract ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 50, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), =( 'comb_app'(
% 2.14/2.51 'ap_parcontractE_sk2q'( X, Y, Z ), 'ap_parcontractE_sk2s'( X, Y, Z ) ), Z
% 2.14/2.51 ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 51, [ member( pair( 'comb_app'( combS, p ), r ), parcontract ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 52, [ ~( =( 'comb_app'( combS, X ), r ) ), ~( member( pair( p, X )
% 2.14/2.51 , parcontract ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 124, [ ~( =( X, U ) ), ~( =( Y, W ) ), =( 'comb_app'( Z, T ),
% 2.14/2.51 'comb_app'( U, W ) ), ~( =( X, Z ) ), ~( =( Y, T ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 222, [ member( pair( 'comb_app'( X, Y ), r ), parcontract ), ~( =(
% 2.14/2.51 combS, X ) ), ~( =( p, Y ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 236, [ member( pair( 'comb_app'( X, p ), r ), parcontract ), ~( =(
% 2.14/2.51 combS, X ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 2389, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( Y, comb ) ]
% 2.14/2.51 )
% 2.14/2.51 .
% 2.14/2.51 clause( 3246, [ ~( =( Y, combS ) ), ~( 'ap_parcontractE_c2'( Y, Z, X ) ) ]
% 2.14/2.51 )
% 2.14/2.51 .
% 2.14/2.51 clause( 3249, [ ~( 'ap_parcontractE_c2'( combS, X, Y ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 3511, [ ~( 'ap_parcontractE_c3'( combS, X, Y ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 3728, [ ~( =( 'comb_app'( combS, p ), r ) ), ~( member( p, comb ) )
% 2.14/2.51 ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 4385, [ ~( =( X, r ) ), ~( member( p, comb ) ), ~(
% 2.14/2.51 'ap_parcontractE_c1'( combS, p, X ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 4402, [ ~( member( p, comb ) ), ~( 'ap_parcontractE_c1'( combS, p,
% 2.14/2.51 r ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 4408, [ ~( 'ap_parcontractE_c1'( combS, p, r ) ), ~(
% 2.14/2.51 'ap_parcontractE_c1'( X, p, Y ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 4421, [ ~( 'ap_parcontractE_c1'( combS, p, r ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 13193, [ ~( =( X, Y ) ), ~( =( Z, T ) ), ~( =( X, U ) ), ~( =( Z, W
% 2.14/2.51 ) ), =( W, T ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 13195, [ ~( =( X, Y ) ), ~( =( X, Z ) ), ~( =( T, U ) ), =( U, T )
% 2.14/2.51 ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 13196, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( T, Z ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 13197, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 13483, [ ~( 'ap_parcontractE_c1'( X, p, r ) ), ~( =( X, combS ) ) ]
% 2.14/2.51 )
% 2.14/2.51 .
% 2.14/2.51 clause( 14089, [ ~( =( X, combS ) ), 'ap_parcontractE_c2'( X, p, r ),
% 2.14/2.51 'ap_parcontractE_c3'( X, p, r ), 'ap_parcontractE_c4'( X, p, r ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 14119, [ 'ap_parcontractE_c3'( combS, p, r ), 'ap_parcontractE_c4'(
% 2.14/2.51 combS, p, r ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 14702, [ 'ap_parcontractE_c4'( combS, p, r ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 14706, [ member( pair( p, 'ap_parcontractE_sk2s'( combS, p, r ) ),
% 2.14/2.51 parcontract ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 14707, [ member( pair( combS, 'ap_parcontractE_sk2q'( combS, p, r )
% 2.14/2.51 ), parcontract ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 22142, [ ~( =( 'comb_app'( combS, 'ap_parcontractE_sk2s'( combS, p
% 2.14/2.51 , r ) ), r ) ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 22323, [ =( 'ap_parcontractE_sk2q'( combS, p, r ), combS ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 22380, [ =( 'comb_app'( combS, 'ap_parcontractE_sk2s'( combS, p, r
% 2.14/2.51 ) ), r ) ] )
% 2.14/2.51 .
% 2.14/2.51 clause( 22436, [] )
% 2.14/2.51 .
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 % SZS output end Refutation
% 2.14/2.51 found a proof!
% 2.14/2.51
% 2.14/2.51 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.14/2.51
% 2.14/2.51 initialclauses(
% 2.14/2.51 [ clause( 22438, [ ~( =( combK, combS ) ) ] )
% 2.14/2.51 , clause( 22439, [ ~( =( combK, 'comb_app'( X, Y ) ) ) ] )
% 2.14/2.51 , clause( 22440, [ ~( =( combS, 'comb_app'( X, Y ) ) ) ] )
% 2.14/2.51 , clause( 22441, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( X,
% 2.14/2.51 Z ) ] )
% 2.14/2.51 , clause( 22442, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y,
% 2.14/2.51 T ) ] )
% 2.14/2.51 , clause( 22443, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 2.14/2.51 'comb_app'( Y, T ) ) ] )
% 2.14/2.51 , clause( 22444, [ ~( member( 'comb_app'( X, Y ), comb ) ), member( X, comb
% 2.14/2.51 ) ] )
% 2.14/2.51 , clause( 22445, [ ~( member( 'comb_app'( X, Y ), comb ) ), member( Y, comb
% 2.14/2.51 ) ] )
% 2.14/2.51 , clause( 22446, [ member( combK, comb ) ] )
% 2.14/2.51 , clause( 22447, [ member( combS, comb ) ] )
% 2.14/2.51 , clause( 22448, [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member(
% 2.14/2.51 'comb_app'( X, Y ), comb ) ] )
% 2.14/2.51 , clause( 22449, [ ~( member( X, comb ) ), member( pair( X, X ), rtrancl(
% 2.14/2.51 contract ) ) ] )
% 2.14/2.51 , clause( 22450, [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member(
% 2.14/2.51 pair( 'comb_app'( 'comb_app'( combK, X ), Y ), X ), contract ) ] )
% 2.14/2.51 , clause( 22451, [ ~( member( X, comb ) ), ~( member( Y, comb ) ), ~(
% 2.14/2.51 member( Z, comb ) ), member( pair( 'comb_app'( 'comb_app'( 'comb_app'(
% 2.14/2.51 combS, X ), Y ), Z ), 'comb_app'( 'comb_app'( X, Z ), 'comb_app'( Y, Z )
% 2.14/2.51 ) ), contract ) ] )
% 2.14/2.51 , clause( 22452, [ ~( member( pair( 'comb_app'( X, Y ), Z ), contract ) ),
% 2.14/2.51 'ap_contractE_c1'( X, Y, Z ), 'ap_contractE_c2'( X, Y, Z ),
% 2.14/2.51 'ap_contractE_c3'( X, Y, Z ), 'ap_contractE_c4'( X, Y, Z ) ] )
% 2.14/2.51 , clause( 22453, [ ~( 'ap_contractE_c1'( X, Y, Z ) ), member( Z, comb ) ]
% 2.14/2.51 )
% 2.14/2.51 , clause( 22454, [ ~( 'ap_contractE_c1'( X, Y, Z ) ), member( Y, comb ) ]
% 2.14/2.51 )
% 2.14/2.51 , clause( 22455, [ ~( 'ap_contractE_c1'( X, Y, Z ) ), =( X, 'comb_app'(
% 2.14/2.51 combK, Z ) ) ] )
% 2.14/2.51 , clause( 22456, [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member(
% 2.14/2.51 'ap_contractE_sk1p'( X, Y, Z ), comb ) ] )
% 2.14/2.51 , clause( 22457, [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member(
% 2.14/2.51 'ap_contractE_sk1q'( X, Y, Z ), comb ) ] )
% 2.14/2.51 , clause( 22458, [ ~( 'ap_contractE_c2'( X, Y, Z ) ), member( Y, comb ) ]
% 2.14/2.51 )
% 2.14/2.51 , clause( 22459, [ ~( 'ap_contractE_c2'( X, Y, Z ) ), =( Z, 'comb_app'(
% 2.14/2.51 'comb_app'( 'ap_contractE_sk1p'( X, Y, Z ), Y ), 'comb_app'(
% 2.14/2.51 'ap_contractE_sk1q'( X, Y, Z ), Y ) ) ) ] )
% 2.14/2.51 , clause( 22460, [ ~( 'ap_contractE_c2'( X, Y, Z ) ), =( X, 'comb_app'(
% 2.14/2.51 'comb_app'( combS, 'ap_contractE_sk1p'( X, Y, Z ) ), 'ap_contractE_sk1q'(
% 2.14/2.51 X, Y, Z ) ) ) ] )
% 2.14/2.51 , clause( 22461, [ ~( 'ap_contractE_c3'( X, Y, Z ) ), member( pair( X,
% 2.14/2.51 'ap_contractE_sk2q'( X, Y, Z ) ), contract ) ] )
% 2.14/2.51 , clause( 22462, [ ~( 'ap_contractE_c3'( X, Y, Z ) ), member( Y, comb ) ]
% 2.14/2.51 )
% 2.14/2.51 , clause( 22463, [ ~( 'ap_contractE_c3'( X, Y, Z ) ), =( Z, 'comb_app'(
% 2.14/2.51 'ap_contractE_sk2q'( X, Y, Z ), Y ) ) ] )
% 2.14/2.51 , clause( 22464, [ ~( 'ap_contractE_c4'( X, Y, Z ) ), member( pair( Y,
% 2.14/2.51 'ap_contractE_sk3q'( X, Y, Z ) ), contract ) ] )
% 2.14/2.51 , clause( 22465, [ ~( 'ap_contractE_c4'( X, Y, Z ) ), member( X, comb ) ]
% 2.14/2.51 )
% 2.14/2.51 , clause( 22466, [ ~( 'ap_contractE_c4'( X, Y, Z ) ), =( Z, 'comb_app'( X,
% 2.14/2.51 'ap_contractE_sk3q'( X, Y, Z ) ) ) ] )
% 2.14/2.51 , clause( 22467, [ ~( member( pair( combK, X ), contract ) ) ] )
% 2.14/2.51 , clause( 22468, [ ~( member( pair( combS, X ), contract ) ) ] )
% 2.14/2.51 , clause( 22469, [ ~( member( X, comb ) ), member( pair( X, X ),
% 2.14/2.51 parcontract ) ] )
% 2.14/2.51 , clause( 22470, [ ~( member( X, comb ) ), ~( member( Y, comb ) ), member(
% 2.14/2.51 pair( 'comb_app'( 'comb_app'( combK, X ), Y ), X ), parcontract ) ] )
% 2.14/2.51 , clause( 22471, [ ~( member( X, comb ) ), ~( member( Y, comb ) ), ~(
% 2.14/2.51 member( Z, comb ) ), member( pair( 'comb_app'( 'comb_app'( 'comb_app'(
% 2.14/2.51 combS, X ), Y ), Z ), 'comb_app'( 'comb_app'( X, Z ), 'comb_app'( Y, Z )
% 2.14/2.51 ) ), parcontract ) ] )
% 2.14/2.51 , clause( 22472, [ ~( member( pair( X, Y ), parcontract ) ), ~( member(
% 2.14/2.51 pair( Z, T ), parcontract ) ), member( pair( 'comb_app'( X, Z ),
% 2.14/2.51 'comb_app'( Y, T ) ), parcontract ) ] )
% 2.14/2.51 , clause( 22473, [ ~( member( pair( combK, X ), parcontract ) ), member(
% 2.14/2.51 combK, comb ) ] )
% 2.14/2.51 , clause( 22474, [ ~( member( pair( combK, X ), parcontract ) ), =( X,
% 2.14/2.51 combK ) ] )
% 2.14/2.51 , clause( 22475, [ ~( member( pair( combS, X ), parcontract ) ), member(
% 2.14/2.51 combS, comb ) ] )
% 2.14/2.51 , clause( 22476, [ ~( member( pair( combS, X ), parcontract ) ), =( X,
% 2.14/2.51 combS ) ] )
% 2.14/2.51 , clause( 22477, [ ~( member( pair( 'comb_app'( X, Y ), Z ), parcontract )
% 2.14/2.51 ), 'ap_parcontractE_c1'( X, Y, Z ), 'ap_parcontractE_c2'( X, Y, Z ),
% 2.14/2.51 'ap_parcontractE_c3'( X, Y, Z ), 'ap_parcontractE_c4'( X, Y, Z ) ] )
% 2.14/2.51 , clause( 22478, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( 'comb_app'(
% 2.14/2.51 X, Y ), comb ) ] )
% 2.14/2.51 , clause( 22479, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), =( Z, 'comb_app'(
% 2.14/2.51 X, Y ) ) ] )
% 2.14/2.51 , clause( 22480, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), member( Z, comb )
% 2.14/2.51 ] )
% 2.14/2.51 , clause( 22481, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), member( Y, comb )
% 2.14/2.51 ] )
% 2.14/2.51 , clause( 22482, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), =( X, 'comb_app'(
% 2.14/2.51 combK, Z ) ) ] )
% 2.14/2.51 , clause( 22483, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member(
% 2.14/2.51 'ap_parcontractE_sk1p'( X, Y, Z ), comb ) ] )
% 2.14/2.51 , clause( 22484, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member(
% 2.14/2.51 'ap_parcontractE_sk1q'( X, Y, Z ), comb ) ] )
% 2.14/2.51 , clause( 22485, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), member( Y, comb )
% 2.14/2.51 ] )
% 2.14/2.51 , clause( 22486, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( Z, 'comb_app'(
% 2.14/2.51 'comb_app'( 'ap_parcontractE_sk1p'( X, Y, Z ), Y ), 'comb_app'(
% 2.14/2.51 'ap_parcontractE_sk1q'( X, Y, Z ), Y ) ) ) ] )
% 2.14/2.51 , clause( 22487, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( X, 'comb_app'(
% 2.14/2.51 'comb_app'( combS, 'ap_parcontractE_sk1p'( X, Y, Z ) ),
% 2.14/2.51 'ap_parcontractE_sk1q'( X, Y, Z ) ) ) ] )
% 2.14/2.51 , clause( 22488, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( X,
% 2.14/2.51 'ap_parcontractE_sk2q'( X, Y, Z ) ), parcontract ) ] )
% 2.14/2.51 , clause( 22489, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( Y,
% 2.14/2.51 'ap_parcontractE_sk2s'( X, Y, Z ) ), parcontract ) ] )
% 2.14/2.51 , clause( 22490, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), =( Z, 'comb_app'(
% 2.14/2.51 'ap_parcontractE_sk2q'( X, Y, Z ), 'ap_parcontractE_sk2s'( X, Y, Z ) ) )
% 2.14/2.51 ] )
% 2.14/2.51 , clause( 22491, [ member( pair( 'comb_app'( combS, p ), r ), parcontract )
% 2.14/2.51 ] )
% 2.14/2.51 , clause( 22492, [ ~( =( r, 'comb_app'( combS, X ) ) ), ~( member( pair( p
% 2.14/2.51 , X ), parcontract ) ) ] )
% 2.14/2.51 ] ).
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 eqswap(
% 2.14/2.51 clause( 22495, [ ~( =( 'comb_app'( X, Y ), combS ) ) ] )
% 2.14/2.51 , clause( 22440, [ ~( =( combS, 'comb_app'( X, Y ) ) ) ] )
% 2.14/2.51 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 subsumption(
% 2.14/2.51 clause( 2, [ ~( =( 'comb_app'( X, Y ), combS ) ) ] )
% 2.14/2.51 , clause( 22495, [ ~( =( 'comb_app'( X, Y ), combS ) ) ] )
% 2.14/2.51 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.14/2.51 )] ) ).
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 subsumption(
% 2.14/2.51 clause( 4, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ]
% 2.14/2.51 )
% 2.14/2.51 , clause( 22442, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y,
% 2.14/2.51 T ) ] )
% 2.14/2.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.14/2.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 subsumption(
% 2.14/2.51 clause( 5, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 2.14/2.51 'comb_app'( Y, T ) ) ] )
% 2.14/2.51 , clause( 22443, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 2.14/2.51 'comb_app'( Y, T ) ) ] )
% 2.14/2.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.14/2.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.14/2.51
% 2.14/2.51
% 2.14/2.51 subsumption(
% 2.14/2.51 clause( 7, [ ~( member( 'comb_app'( X, Y ), comb ) ), member( Y, comb ) ]
% 2.14/2.52 )
% 2.14/2.52 , clause( 22445, [ ~( member( 'comb_app'( X, Y ), comb ) ), member( Y, comb
% 2.14/2.52 ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.14/2.52 ), ==>( 1, 1 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 31, [ ~( member( X, comb ) ), member( pair( X, X ), parcontract ) ]
% 2.14/2.52 )
% 2.14/2.52 , clause( 22469, [ ~( member( X, comb ) ), member( pair( X, X ),
% 2.14/2.52 parcontract ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.14/2.52 1 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 36, [ ~( member( pair( combS, X ), parcontract ) ), =( X, combS ) ]
% 2.14/2.52 )
% 2.14/2.52 , clause( 22476, [ ~( member( pair( combS, X ), parcontract ) ), =( X,
% 2.14/2.52 combS ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.14/2.52 1 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 37, [ ~( member( pair( 'comb_app'( X, Y ), Z ), parcontract ) ),
% 2.14/2.52 'ap_parcontractE_c1'( X, Y, Z ), 'ap_parcontractE_c2'( X, Y, Z ),
% 2.14/2.52 'ap_parcontractE_c3'( X, Y, Z ), 'ap_parcontractE_c4'( X, Y, Z ) ] )
% 2.14/2.52 , clause( 22477, [ ~( member( pair( 'comb_app'( X, Y ), Z ), parcontract )
% 2.14/2.52 ), 'ap_parcontractE_c1'( X, Y, Z ), 'ap_parcontractE_c2'( X, Y, Z ),
% 2.14/2.52 'ap_parcontractE_c3'( X, Y, Z ), 'ap_parcontractE_c4'( X, Y, Z ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.14/2.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 2.14/2.52 ==>( 4, 4 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 38, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( 'comb_app'( X,
% 2.14/2.52 Y ), comb ) ] )
% 2.14/2.52 , clause( 22478, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), member( 'comb_app'(
% 2.14/2.52 X, Y ), comb ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.14/2.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 39, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), =( Z, 'comb_app'( X, Y
% 2.14/2.52 ) ) ] )
% 2.14/2.52 , clause( 22479, [ ~( 'ap_parcontractE_c1'( X, Y, Z ) ), =( Z, 'comb_app'(
% 2.14/2.52 X, Y ) ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.14/2.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 42, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), =( X, 'comb_app'( combK
% 2.14/2.52 , Z ) ) ] )
% 2.14/2.52 , clause( 22482, [ ~( 'ap_parcontractE_c2'( X, Y, Z ) ), =( X, 'comb_app'(
% 2.14/2.52 combK, Z ) ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.14/2.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 eqswap(
% 2.14/2.52 clause( 22740, [ =( 'comb_app'( 'comb_app'( combS, 'ap_parcontractE_sk1p'(
% 2.14/2.52 X, Y, Z ) ), 'ap_parcontractE_sk1q'( X, Y, Z ) ), X ), ~(
% 2.14/2.52 'ap_parcontractE_c3'( X, Y, Z ) ) ] )
% 2.14/2.52 , clause( 22487, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( X, 'comb_app'(
% 2.14/2.52 'comb_app'( combS, 'ap_parcontractE_sk1p'( X, Y, Z ) ),
% 2.14/2.52 'ap_parcontractE_sk1q'( X, Y, Z ) ) ) ] )
% 2.14/2.52 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 47, [ ~( 'ap_parcontractE_c3'( X, Y, Z ) ), =( 'comb_app'(
% 2.14/2.52 'comb_app'( combS, 'ap_parcontractE_sk1p'( X, Y, Z ) ),
% 2.14/2.52 'ap_parcontractE_sk1q'( X, Y, Z ) ), X ) ] )
% 2.14/2.52 , clause( 22740, [ =( 'comb_app'( 'comb_app'( combS, 'ap_parcontractE_sk1p'(
% 2.14/2.52 X, Y, Z ) ), 'ap_parcontractE_sk1q'( X, Y, Z ) ), X ), ~(
% 2.14/2.52 'ap_parcontractE_c3'( X, Y, Z ) ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.14/2.52 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 48, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( X,
% 2.14/2.52 'ap_parcontractE_sk2q'( X, Y, Z ) ), parcontract ) ] )
% 2.14/2.52 , clause( 22488, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( X,
% 2.14/2.52 'ap_parcontractE_sk2q'( X, Y, Z ) ), parcontract ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.14/2.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 49, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( Y,
% 2.14/2.52 'ap_parcontractE_sk2s'( X, Y, Z ) ), parcontract ) ] )
% 2.14/2.52 , clause( 22489, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), member( pair( Y,
% 2.14/2.52 'ap_parcontractE_sk2s'( X, Y, Z ) ), parcontract ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.14/2.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 eqswap(
% 2.14/2.52 clause( 22846, [ =( 'comb_app'( 'ap_parcontractE_sk2q'( Y, Z, X ),
% 2.14/2.52 'ap_parcontractE_sk2s'( Y, Z, X ) ), X ), ~( 'ap_parcontractE_c4'( Y, Z,
% 2.14/2.52 X ) ) ] )
% 2.14/2.52 , clause( 22490, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), =( Z, 'comb_app'(
% 2.14/2.52 'ap_parcontractE_sk2q'( X, Y, Z ), 'ap_parcontractE_sk2s'( X, Y, Z ) ) )
% 2.14/2.52 ] )
% 2.14/2.52 , 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 50, [ ~( 'ap_parcontractE_c4'( X, Y, Z ) ), =( 'comb_app'(
% 2.14/2.52 'ap_parcontractE_sk2q'( X, Y, Z ), 'ap_parcontractE_sk2s'( X, Y, Z ) ), Z
% 2.14/2.52 ) ] )
% 2.14/2.52 , clause( 22846, [ =( 'comb_app'( 'ap_parcontractE_sk2q'( Y, Z, X ),
% 2.14/2.52 'ap_parcontractE_sk2s'( Y, Z, X ) ), X ), ~( 'ap_parcontractE_c4'( Y, Z,
% 2.14/2.52 X ) ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.14/2.52 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 51, [ member( pair( 'comb_app'( combS, p ), r ), parcontract ) ] )
% 2.14/2.52 , clause( 22491, [ member( pair( 'comb_app'( combS, p ), r ), parcontract )
% 2.14/2.52 ] )
% 2.14/2.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 eqswap(
% 2.14/2.52 clause( 22919, [ ~( =( 'comb_app'( combS, X ), r ) ), ~( member( pair( p, X
% 2.14/2.52 ), parcontract ) ) ] )
% 2.14/2.52 , clause( 22492, [ ~( =( r, 'comb_app'( combS, X ) ) ), ~( member( pair( p
% 2.14/2.52 , X ), parcontract ) ) ] )
% 2.14/2.52 , 0, substitution( 0, [ :=( X, X )] )).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 subsumption(
% 2.14/2.52 clause( 52, [ ~( =( 'comb_app'( combS, X ), r ) ), ~( member( pair( p, X )
% 2.14/2.52 , parcontract ) ) ] )
% 2.14/2.52 , clause( 22919, [ ~( =( 'comb_app'( combS, X ), r ) ), ~( member( pair( p
% 2.14/2.52 , X ), parcontract ) ) ] )
% 2.14/2.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.14/2.52 1 )] ) ).
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 assignments is full
% 2.14/2.52
% 2.14/2.52 Memory use:
% 2.14/2.52
% 2.14/2.52 space for terms: 354328
% 2.14/2.52 space for clauses: 931281
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 clauses generated: 158359
% 2.14/2.52 clauses kept: 22437
% 2.14/2.52 clauses selected: 820
% 2.14/2.52 clauses deleted: 806
% 2.14/2.52 clauses inuse deleted: 6
% 2.14/2.52
% 2.14/2.52 subsentry: 480492
% 2.14/2.52 literals s-matched: 256229
% 2.14/2.52 literals matched: 240666
% 2.14/2.52 full subsumption: 76016
% 2.14/2.52
% 2.14/2.52 checksum: 2017252873
% 2.14/2.52
% 2.14/2.52
% 2.14/2.52 Bliksem ended
%------------------------------------------------------------------------------