TSTP Solution File: COL109-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL109-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 00:12:46 EDT 2022
% Result : Unsatisfiable 3.71s 4.08s
% Output : Refutation 3.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL109-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.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 05:10:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.60/3.96 *** allocated 10000 integers for termspace/termends
% 3.60/3.96 *** allocated 10000 integers for clauses
% 3.60/3.96 *** allocated 10000 integers for justifications
% 3.60/3.96 Bliksem 1.12
% 3.60/3.96
% 3.60/3.96
% 3.60/3.96 Automatic Strategy Selection
% 3.60/3.96
% 3.60/3.96 Clauses:
% 3.60/3.96 [
% 3.60/3.96 [ 'c_in'( 'c_Pair'( 'v_z', 'v_w', 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.60/3.96 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 3.60/3.96 ,
% 3.60/3.96 [ 'c_in'( 'c_Pair'( 'v_xb', 'v_x_H', 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.60/3.96 , 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) )
% 3.60/3.96 ],
% 3.60/3.96 [ 'c_in'( 'c_Pair'( 'v_yb', 'v_y_Ha', 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.60/3.96 , 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) )
% 3.60/3.96 ],
% 3.60/3.96 [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.60/3.96 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.60/3.96 'v_yb', 'v_z' ) ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.60/3.96 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.60/3.96 , ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.60/3.96 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS', 'v_x_H' ), 'v_y_Ha' ), 'v_w'
% 3.60/3.96 ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract',
% 3.60/3.96 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ],
% 3.60/3.96 [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.60/3.96 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS', X ), Y ), Z ),
% 3.60/3.96 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z ),
% 3.60/3.96 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ) ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.60/3.96 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 3.60/3.96 ,
% 3.60/3.96 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.60/3.96 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.60/3.96 , ~( 'c_in'( 'c_Pair'( Z, T, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.60/3.96 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.60/3.96 , 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( Z, X ),
% 3.60/3.96 'c_Comb_Ocomb_Oop_A_D_D'( T, Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.60/3.96 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 3.60/3.96
% 3.60/3.96 ] .
% 3.60/3.96
% 3.60/3.96
% 3.60/3.96 percentage equality = 0.000000, percentage horn = 1.000000
% 3.60/3.96 This is a near-Horn, non-equality problem
% 3.60/3.96
% 3.60/3.96
% 3.60/3.96 Options Used:
% 3.60/3.96
% 3.60/3.96 useres = 1
% 3.60/3.96 useparamod = 0
% 3.60/3.96 useeqrefl = 0
% 3.60/3.96 useeqfact = 0
% 3.60/3.96 usefactor = 1
% 3.60/3.96 usesimpsplitting = 0
% 3.60/3.96 usesimpdemod = 0
% 3.60/3.96 usesimpres = 4
% 3.60/3.96
% 3.60/3.96 resimpinuse = 1000
% 3.60/3.96 resimpclauses = 20000
% 3.60/3.96 substype = standard
% 3.60/3.96 backwardsubs = 1
% 3.60/3.96 selectoldest = 5
% 3.60/3.96
% 3.60/3.96 litorderings [0] = split
% 3.60/3.96 litorderings [1] = liftord
% 3.60/3.96
% 3.60/3.96 termordering = none
% 3.60/3.96
% 3.60/3.96 litapriori = 1
% 3.60/3.96 termapriori = 0
% 3.60/3.96 litaposteriori = 0
% 3.60/3.96 termaposteriori = 0
% 3.60/3.96 demodaposteriori = 0
% 3.60/3.96 ordereqreflfact = 0
% 3.60/3.96
% 3.60/3.96 litselect = negative
% 3.60/3.96
% 3.60/3.96 maxweight = 30000
% 3.60/3.96 maxdepth = 30000
% 3.60/3.96 maxlength = 115
% 3.60/3.96 maxnrvars = 195
% 3.60/3.96 excuselevel = 0
% 3.60/3.96 increasemaxweight = 0
% 3.60/3.96
% 3.60/3.96 maxselected = 10000000
% 3.60/3.96 maxnrclauses = 10000000
% 3.60/3.96
% 3.60/3.96 showgenerated = 0
% 3.60/3.96 showkept = 0
% 3.60/3.96 showselected = 0
% 3.60/3.96 showdeleted = 0
% 3.60/3.96 showresimp = 1
% 3.60/3.96 showstatus = 2000
% 3.60/3.96
% 3.60/3.96 prologoutput = 1
% 3.60/3.96 nrgoals = 5000000
% 3.60/3.96 totalproof = 1
% 3.60/3.96
% 3.60/3.96 Symbols occurring in the translation:
% 3.60/3.96
% 3.60/3.96 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.60/3.96 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 3.60/3.96 ! [4, 1] (w:1, o:23, a:1, s:1, b:0),
% 3.60/3.96 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.60/3.96 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.60/3.96 'v_z' [39, 0] (w:1, o:11, a:1, s:1, b:0),
% 3.60/3.96 'v_w' [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 3.60/3.96 'tc_Comb_Ocomb' [41, 0] (w:1, o:13, a:1, s:1, b:0),
% 3.60/3.96 'c_Pair' [42, 4] (w:1, o:56, a:1, s:1, b:0),
% 3.60/3.96 'c_Comb_Oparcontract' [43, 0] (w:1, o:14, a:1, s:1, b:0),
% 3.60/3.96 'tc_prod' [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 3.60/3.96 'c_in' [45, 3] (w:1, o:55, a:1, s:1, b:0),
% 3.60/3.96 'v_xb' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 3.60/3.96 'v_x_H' [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 3.60/3.96 'v_yb' [48, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.60/3.96 'v_y_Ha' [49, 0] (w:1, o:10, a:1, s:1, b:0),
% 3.60/3.96 'c_Comb_Ocomb_Oop_A_D_D' [50, 2] (w:1, o:54, a:1, s:1, b:0),
% 3.60/3.96 'c_Comb_Ocomb_OS' [52, 0] (w:1, o:18, a:1, s:1, b:0).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Starting Search:
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 2093
% 3.71/4.08 Kept: 2080
% 3.71/4.08 Inuse: 141
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 4111
% 3.71/4.08 Kept: 4093
% 3.71/4.08 Inuse: 210
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 6114
% 3.71/4.08 Kept: 6095
% 3.71/4.08 Inuse: 290
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 8244
% 3.71/4.08 Kept: 8223
% 3.71/4.08 Inuse: 356
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 10252
% 3.71/4.08 Kept: 10229
% 3.71/4.08 Inuse: 408
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 12277
% 3.71/4.08 Kept: 12254
% 3.71/4.08 Inuse: 483
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 14287
% 3.71/4.08 Kept: 14262
% 3.71/4.08 Inuse: 523
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 16542
% 3.71/4.08 Kept: 16515
% 3.71/4.08 Inuse: 566
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 18557
% 3.71/4.08 Kept: 18530
% 3.71/4.08 Inuse: 631
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying clauses:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 21203
% 3.71/4.08 Kept: 21175
% 3.71/4.08 Inuse: 696
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 23218
% 3.71/4.08 Kept: 23189
% 3.71/4.08 Inuse: 738
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 25884
% 3.71/4.08 Kept: 25853
% 3.71/4.08 Inuse: 776
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 27914
% 3.71/4.08 Kept: 27883
% 3.71/4.08 Inuse: 834
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 29944
% 3.71/4.08 Kept: 29913
% 3.71/4.08 Inuse: 892
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 32653
% 3.71/4.08 Kept: 32620
% 3.71/4.08 Inuse: 921
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 34675
% 3.71/4.08 Kept: 34641
% 3.71/4.08 Inuse: 952
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 36679
% 3.71/4.08 Kept: 36644
% 3.71/4.08 Inuse: 981
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 38707
% 3.71/4.08 Kept: 38672
% 3.71/4.08 Inuse: 1033
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying clauses:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 40735
% 3.71/4.08 Kept: 40700
% 3.71/4.08 Inuse: 1085
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 42763
% 3.71/4.08 Kept: 42728
% 3.71/4.08 Inuse: 1137
% 3.71/4.08 Deleted: 1
% 3.71/4.08 Deletedinuse: 1
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 45150
% 3.71/4.08 Kept: 45114
% 3.71/4.08 Inuse: 1171
% 3.71/4.08 Deleted: 9
% 3.71/4.08 Deletedinuse: 9
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 47632
% 3.71/4.08 Kept: 47595
% 3.71/4.08 Inuse: 1206
% 3.71/4.08 Deleted: 9
% 3.71/4.08 Deletedinuse: 9
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 50182
% 3.71/4.08 Kept: 50144
% 3.71/4.08 Inuse: 1241
% 3.71/4.08 Deleted: 9
% 3.71/4.08 Deletedinuse: 9
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 52800
% 3.71/4.08 Kept: 52761
% 3.71/4.08 Inuse: 1276
% 3.71/4.08 Deleted: 9
% 3.71/4.08 Deletedinuse: 9
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Intermediate Status:
% 3.71/4.08 Generated: 54816
% 3.71/4.08 Kept: 54777
% 3.71/4.08 Inuse: 1324
% 3.71/4.08 Deleted: 10
% 3.71/4.08 Deletedinuse: 9
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08 Resimplifying inuse:
% 3.71/4.08 Done
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 Bliksems!, er is een bewijs:
% 3.71/4.08 % SZS status Unsatisfiable
% 3.71/4.08 % SZS output start Refutation
% 3.71/4.08
% 3.71/4.08 clause( 0, [ 'c_in'( 'c_Pair'( 'v_z', 'v_w', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 1, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_x_H', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 2, [ 'c_in'( 'c_Pair'( 'v_yb', 'v_y_Ha', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 3, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS',
% 3.71/4.08 'v_x_H' ), 'v_y_Ha' ), 'v_w' ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 , ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb', 'v_z' ) ), X,
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'(
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 4, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS', X
% 3.71/4.08 ), Y ), Z ), 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ) ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 , 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) )
% 3.71/4.08 ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 , 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) )
% 3.71/4.08 ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( Z, X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( T, Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ),
% 3.71/4.08 ~( 'c_in'( 'c_Pair'( Z, T, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 21, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 3.71/4.08 ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 22, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb', X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 3.71/4.08 ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 368, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 377, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), X ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), Y ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ) ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 448, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb', 'v_z' )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 56004, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_yb', 'v_z' ) ), 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_x_H', 'v_w' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ) ),
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'(
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 .
% 3.71/4.08 clause( 56305, [] )
% 3.71/4.08 .
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 % SZS output end Refutation
% 3.71/4.08 found a proof!
% 3.71/4.08
% 3.71/4.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.71/4.08
% 3.71/4.08 initialclauses(
% 3.71/4.08 [ clause( 56307, [ 'c_in'( 'c_Pair'( 'v_z', 'v_w', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 56308, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_x_H', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 56309, [ 'c_in'( 'c_Pair'( 'v_yb', 'v_y_Ha', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 56310, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_yb', 'v_z' ) ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 , ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS', 'v_x_H' ), 'v_y_Ha' ), 'v_w'
% 3.71/4.08 ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract',
% 3.71/4.08 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 3.71/4.08 , clause( 56311, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS', X
% 3.71/4.08 ), Y ), Z ), 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ) ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 , 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) )
% 3.71/4.08 ] )
% 3.71/4.08 , clause( 56312, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ), ~( 'c_in'( 'c_Pair'( Z, T, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( Z, X )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( T, Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 3.71/4.08 )
% 3.71/4.08 ] ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 0, [ 'c_in'( 'c_Pair'( 'v_z', 'v_w', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 56307, [ 'c_in'( 'c_Pair'( 'v_z', 'v_w', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 1, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_x_H', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 56308, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_x_H', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 2, [ 'c_in'( 'c_Pair'( 'v_yb', 'v_y_Ha', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 56309, [ 'c_in'( 'c_Pair'( 'v_yb', 'v_y_Ha', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 3, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS',
% 3.71/4.08 'v_x_H' ), 'v_y_Ha' ), 'v_w' ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 , ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb', 'v_z' ) ), X,
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'(
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 3.71/4.08 , clause( 56310, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_yb', 'v_z' ) ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 , ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS', 'v_x_H' ), 'v_y_Ha' ), 'v_w'
% 3.71/4.08 ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract',
% 3.71/4.08 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 3.71/4.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 3.71/4.08 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 4, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS', X
% 3.71/4.08 ), Y ), Z ), 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ) ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 , 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) )
% 3.71/4.08 ] )
% 3.71/4.08 , clause( 56311, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS', X
% 3.71/4.08 ), Y ), Z ), 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ) ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 , 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) )
% 3.71/4.08 ] )
% 3.71/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.71/4.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 , 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) )
% 3.71/4.08 ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( Z, X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( T, Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ),
% 3.71/4.08 ~( 'c_in'( 'c_Pair'( Z, T, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 , clause( 56312, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ), ~( 'c_in'( 'c_Pair'( Z, T, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( Z, X )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( T, Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ]
% 3.71/4.08 )
% 3.71/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.71/4.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 resolution(
% 3.71/4.08 clause( 56315, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb'
% 3.71/4.08 , X ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', Y ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 3.71/4.08 ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( Z, X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( T, Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ),
% 3.71/4.08 ~( 'c_in'( 'c_Pair'( Z, T, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 , 2, clause( 1, [ 'c_in'( 'c_Pair'( 'v_xb', 'v_x_H', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'v_xb' ), :=( T,
% 3.71/4.08 'v_x_H' )] ), substitution( 1, [] )).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 21, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 3.71/4.08 ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 , clause( 56315, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb'
% 3.71/4.08 , X ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', Y ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 3.71/4.08 ), ==>( 1, 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 resolution(
% 3.71/4.08 clause( 56317, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb'
% 3.71/4.08 , X ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', Y ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 3.71/4.08 ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( Z, X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( T, Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ),
% 3.71/4.08 ~( 'c_in'( 'c_Pair'( Z, T, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 , 2, clause( 2, [ 'c_in'( 'c_Pair'( 'v_yb', 'v_y_Ha', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'v_yb' ), :=( T,
% 3.71/4.08 'v_y_Ha' )] ), substitution( 1, [] )).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 22, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb', X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 3.71/4.08 ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 , clause( 56317, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb'
% 3.71/4.08 , X ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', Y ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 3.71/4.08 ), ==>( 1, 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 resolution(
% 3.71/4.08 clause( 56318, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z'
% 3.71/4.08 ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 21, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 3.71/4.08 ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 , 1, clause( 0, [ 'c_in'( 'c_Pair'( 'v_z', 'v_w', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , 0, substitution( 0, [ :=( X, 'v_z' ), :=( Y, 'v_w' )] ), substitution( 1
% 3.71/4.08 , [] )).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 368, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 56318, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb',
% 3.71/4.08 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 resolution(
% 3.71/4.08 clause( 56320, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), X ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), Y ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 5, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 3.71/4.08 ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( Z, X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( T, Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ),
% 3.71/4.08 ~( 'c_in'( 'c_Pair'( Z, T, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 , 2, clause( 368, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb',
% 3.71/4.08 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ) ), :=( T,
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ) )] ), substitution( 1, [] )
% 3.71/4.08 ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 377, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), X ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), Y ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ) ] )
% 3.71/4.08 , clause( 56320, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ), 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), X ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), Y ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 3.71/4.08 ), ==>( 1, 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 resolution(
% 3.71/4.08 clause( 56321, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb', 'v_z'
% 3.71/4.08 ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 22, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb', X ),
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', Y ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb'
% 3.71/4.08 ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.08 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 , 1, clause( 0, [ 'c_in'( 'c_Pair'( 'v_z', 'v_w', 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , 0, substitution( 0, [ :=( X, 'v_z' ), :=( Y, 'v_w' )] ), substitution( 1
% 3.71/4.08 , [] )).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 448, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb', 'v_z' )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 56321, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb',
% 3.71/4.08 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 resolution(
% 3.71/4.08 clause( 56322, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_yb', 'v_z' ) ), 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_x_H', 'v_w' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ) ),
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'(
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 377, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), X ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), Y ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ) ] )
% 3.71/4.08 , 1, clause( 448, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb',
% 3.71/4.08 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ), 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb',
% 3.71/4.08 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , 0, substitution( 0, [ :=( X, 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb', 'v_z' ) )
% 3.71/4.08 , :=( Y, 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ) )] ), substitution(
% 3.71/4.08 1, [] )).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 subsumption(
% 3.71/4.08 clause( 56004, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_yb', 'v_z' ) ), 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_x_H', 'v_w' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ) ),
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'(
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , clause( 56322, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_yb', 'v_z' ) ), 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_x_H', 'v_w' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ) ),
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'(
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 resolution(
% 3.71/4.08 clause( 56323, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS',
% 3.71/4.08 'v_x_H' ), 'v_y_Ha' ), 'v_w' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_y_Ha', 'v_w' ) ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 , clause( 3, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS',
% 3.71/4.08 'v_x_H' ), 'v_y_Ha' ), 'v_w' ), X, 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 , ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_yb', 'v_z' ) ), X,
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'(
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ) ] )
% 3.71/4.08 , 1, clause( 56004, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_xb', 'v_z' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_yb', 'v_z' ) ), 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_x_H', 'v_w' ), 'c_Comb_Ocomb_Oop_A_D_D'( 'v_y_Ha', 'v_w' ) ),
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ), 'c_Comb_Oparcontract', 'tc_prod'(
% 3.71/4.08 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) ] )
% 3.71/4.08 , 0, substitution( 0, [ :=( X, 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_y_Ha', 'v_w' ) ) )] ), substitution( 1, [] )).
% 3.71/4.08
% 3.71/4.08
% 3.71/4.08 resolution(
% 3.71/4.08 clause( 56324, [] )
% 3.71/4.08 , clause( 56323, [ ~( 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS',
% 3.71/4.08 'v_x_H' ), 'v_y_Ha' ), 'v_w' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'v_x_H', 'v_w' ), 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'v_y_Ha', 'v_w' ) ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ),
% 3.71/4.08 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) ) )
% 3.71/4.08 ] )
% 3.71/4.08 , 0, clause( 4, [ 'c_in'( 'c_Pair'( 'c_Comb_Ocomb_Oop_A_D_D'(
% 3.71/4.08 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_OS', X
% 3.71/4.08 ), Y ), Z ), 'c_Comb_Ocomb_Oop_A_D_D'( 'c_Comb_Ocomb_Oop_A_D_D'( X, Z )
% 3.71/4.08 , 'c_Comb_Ocomb_Oop_A_D_D'( Y, Z ) ), 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' )
% 3.71/4.09 , 'c_Comb_Oparcontract', 'tc_prod'( 'tc_Comb_Ocomb', 'tc_Comb_Ocomb' ) )
% 3.71/4.09 ] )
% 3.71/4.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x_H' ), :=( Y,
% 3.71/4.09 'v_y_Ha' ), :=( Z, 'v_w' )] )).
% 3.71/4.09
% 3.71/4.09
% 3.71/4.09 subsumption(
% 3.71/4.09 clause( 56305, [] )
% 3.71/4.09 , clause( 56324, [] )
% 3.71/4.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.71/4.09
% 3.71/4.09
% 3.71/4.09 end.
% 3.71/4.09
% 3.71/4.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.71/4.09
% 3.71/4.09 Memory use:
% 3.71/4.09
% 3.71/4.09 space for terms: 2231002
% 3.71/4.09 space for clauses: 12595055
% 3.71/4.09
% 3.71/4.09
% 3.71/4.09 clauses generated: 56346
% 3.71/4.09 clauses kept: 56306
% 3.71/4.09 clauses selected: 1331
% 3.71/4.09 clauses deleted: 10
% 3.71/4.09 clauses inuse deleted: 9
% 3.71/4.09
% 3.71/4.09 subsentry: 4569
% 3.71/4.09 literals s-matched: 50
% 3.71/4.09 literals matched: 50
% 3.71/4.09 full subsumption: 0
% 3.71/4.09
% 3.71/4.09 checksum: -935582599
% 3.71/4.09
% 3.71/4.09
% 3.71/4.09 Bliksem ended
%------------------------------------------------------------------------------