TSTP Solution File: SYN100-1.005 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN100-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 21 02:47:43 EDT 2022
% Result : Unsatisfiable 0.68s 1.07s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN100-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.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 : Mon Jul 11 21:06:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.68/1.07 *** allocated 10000 integers for termspace/termends
% 0.68/1.07 *** allocated 10000 integers for clauses
% 0.68/1.07 *** allocated 10000 integers for justifications
% 0.68/1.07 Bliksem 1.12
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Automatic Strategy Selection
% 0.68/1.07
% 0.68/1.07 Clauses:
% 0.68/1.07 [
% 0.68/1.07 [ ~( 'p_0'( X ) ), ~( 'q_0'( X ) ) ],
% 0.68/1.07 [ 'p_0'( X ), ~( 'p_1'( X ) ), ~( 'p_2'( X ) ) ],
% 0.68/1.07 [ 'p_0'( X ), ~( 'q_1'( X ) ), ~( 'q_2'( X ) ) ],
% 0.68/1.07 [ 'p_1'( X ), ~( 'p_2'( X ) ), ~( 'p_3'( X ) ) ],
% 0.68/1.07 [ 'p_1'( X ), ~( 'q_2'( X ) ), ~( 'q_3'( X ) ) ],
% 0.68/1.07 [ 'p_2'( X ), ~( 'p_3'( X ) ), ~( 'p_4'( X ) ) ],
% 0.68/1.07 [ 'p_2'( X ), ~( 'q_3'( X ) ), ~( 'q_4'( X ) ) ],
% 0.68/1.07 [ 'p_3'( X ), ~( 'p_4'( X ) ), ~( 'p_5'( X ) ) ],
% 0.68/1.07 [ 'p_3'( X ), ~( 'q_4'( X ) ), ~( 'q_5'( X ) ) ],
% 0.68/1.07 [ 'p_4'( X ), ~( 'p_5'( X ) ), ~( 'p_6'( X ) ) ],
% 0.68/1.07 [ 'p_4'( X ), ~( 'q_5'( X ) ), ~( 'q_6'( X ) ) ],
% 0.68/1.07 [ 'p_5'( X ), ~( 'p_6'( X ) ), ~( 'p_7'( X ) ) ],
% 0.68/1.07 [ 'p_5'( X ), ~( 'q_6'( X ) ), ~( 'q_7'( X ) ) ],
% 0.68/1.07 [ 'p_6'( X ), ~( 'p_7'( X ) ), ~( 'p_8'( X ) ) ],
% 0.68/1.07 [ 'p_6'( X ), ~( 'q_7'( X ) ), ~( 'q_8'( X ) ) ],
% 0.68/1.07 [ 'p_7'( X ), ~( 'p_8'( X ) ), ~( 'p_9'( X ) ) ],
% 0.68/1.07 [ 'p_7'( X ), ~( 'q_8'( X ) ), ~( 'q_9'( X ) ) ],
% 0.68/1.07 [ 'q_0'( X ), ~( 'p_1'( X ) ), ~( 'q_2'( X ) ) ],
% 0.68/1.07 [ 'q_0'( X ), ~( 'q_1'( X ) ), ~( 'p_2'( X ) ) ],
% 0.68/1.07 [ 'q_1'( X ), ~( 'p_2'( X ) ), ~( 'q_3'( X ) ) ],
% 0.68/1.07 [ 'q_1'( X ), ~( 'q_2'( X ) ), ~( 'p_3'( X ) ) ],
% 0.68/1.07 [ 'q_2'( X ), ~( 'p_3'( X ) ), ~( 'q_4'( X ) ) ],
% 0.68/1.07 [ 'q_2'( X ), ~( 'q_3'( X ) ), ~( 'p_4'( X ) ) ],
% 0.68/1.07 [ 'q_3'( X ), ~( 'p_4'( X ) ), ~( 'q_5'( X ) ) ],
% 0.68/1.07 [ 'q_3'( X ), ~( 'q_4'( X ) ), ~( 'p_5'( X ) ) ],
% 0.68/1.07 [ 'q_4'( X ), ~( 'p_5'( X ) ), ~( 'q_6'( X ) ) ],
% 0.68/1.07 [ 'q_4'( X ), ~( 'q_5'( X ) ), ~( 'p_6'( X ) ) ],
% 0.68/1.07 [ 'q_5'( X ), ~( 'p_6'( X ) ), ~( 'q_7'( X ) ) ],
% 0.68/1.07 [ 'q_5'( X ), ~( 'q_6'( X ) ), ~( 'p_7'( X ) ) ],
% 0.68/1.07 [ 'q_6'( X ), ~( 'p_7'( X ) ), ~( 'q_8'( X ) ) ],
% 0.68/1.07 [ 'q_6'( X ), ~( 'q_7'( X ) ), ~( 'p_8'( X ) ) ],
% 0.68/1.07 [ 'q_7'( X ), ~( 'p_8'( X ) ), ~( 'q_9'( X ) ) ],
% 0.68/1.07 [ 'q_7'( X ), ~( 'q_8'( X ) ), ~( 'p_9'( X ) ) ],
% 0.68/1.07 [ 'p_9'( X ), ~( 'p_4'( X ) ) ],
% 0.68/1.07 [ 'p_10'( X ), ~( 'p_5'( X ) ) ],
% 0.68/1.07 [ 'q_9'( X ), ~( 'q_4'( X ) ) ],
% 0.68/1.07 [ 'q_10'( X ), ~( 'q_5'( X ) ) ],
% 0.68/1.07 [ 'p_8'( a ) ],
% 0.68/1.07 [ 'p_9'( a ) ],
% 0.68/1.07 [ 'q_8'( a ) ],
% 0.68/1.07 [ 'q_9'( a ) ],
% 0.68/1.07 [ 'sym_p_0'( X ), 'sym_q_0'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_0'( X ) ), 'sym_p_1'( X ), 'sym_p_2'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_0'( X ) ), 'sym_q_1'( X ), 'sym_q_2'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_1'( X ) ), 'sym_p_2'( X ), 'sym_p_3'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_1'( X ) ), 'sym_q_2'( X ), 'sym_q_3'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_2'( X ) ), 'sym_p_3'( X ), 'sym_p_4'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_2'( X ) ), 'sym_q_3'( X ), 'sym_q_4'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_3'( X ) ), 'sym_p_4'( X ), 'sym_p_5'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_3'( X ) ), 'sym_q_4'( X ), 'sym_q_5'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_4'( X ) ), 'sym_p_5'( X ), 'sym_p_6'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_4'( X ) ), 'sym_q_5'( X ), 'sym_q_6'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_5'( X ) ), 'sym_p_6'( X ), 'sym_p_7'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_5'( X ) ), 'sym_q_6'( X ), 'sym_q_7'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_6'( X ) ), 'sym_p_7'( X ), 'sym_p_8'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_6'( X ) ), 'sym_q_7'( X ), 'sym_q_8'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_7'( X ) ), 'sym_p_8'( X ), 'sym_p_9'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_7'( X ) ), 'sym_q_8'( X ), 'sym_q_9'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_0'( X ) ), 'sym_p_1'( X ), 'sym_q_2'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_0'( X ) ), 'sym_q_1'( X ), 'sym_p_2'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_1'( X ) ), 'sym_p_2'( X ), 'sym_q_3'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_1'( X ) ), 'sym_q_2'( X ), 'sym_p_3'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_2'( X ) ), 'sym_p_3'( X ), 'sym_q_4'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_2'( X ) ), 'sym_q_3'( X ), 'sym_p_4'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_3'( X ) ), 'sym_p_4'( X ), 'sym_q_5'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_3'( X ) ), 'sym_q_4'( X ), 'sym_p_5'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_4'( X ) ), 'sym_p_5'( X ), 'sym_q_6'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_4'( X ) ), 'sym_q_5'( X ), 'sym_p_6'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_5'( X ) ), 'sym_p_6'( X ), 'sym_q_7'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_5'( X ) ), 'sym_q_6'( X ), 'sym_p_7'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_6'( X ) ), 'sym_p_7'( X ), 'sym_q_8'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_6'( X ) ), 'sym_q_7'( X ), 'sym_p_8'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_7'( X ) ), 'sym_p_8'( X ), 'sym_q_9'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_7'( X ) ), 'sym_q_8'( X ), 'sym_p_9'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_9'( X ) ), 'sym_p_4'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_10'( X ) ), 'sym_p_5'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_9'( X ) ), 'sym_q_4'( X ) ],
% 0.68/1.07 [ ~( 'sym_q_10'( X ) ), 'sym_q_5'( X ) ],
% 0.68/1.07 [ ~( 'sym_p_8'( a ) ) ],
% 0.68/1.07 [ ~( 'sym_p_9'( a ) ) ],
% 0.68/1.07 [ ~( 'sym_q_8'( a ) ) ],
% 0.68/1.07 [ ~( 'sym_q_9'( a ) ) ]
% 0.68/1.07 ] .
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 percentage equality = 0.000000, percentage horn = 0.597561
% 0.68/1.07 This a non-horn, non-equality problem
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Options Used:
% 0.68/1.07
% 0.68/1.07 useres = 1
% 0.68/1.07 useparamod = 0
% 0.68/1.07 useeqrefl = 0
% 0.68/1.07 useeqfact = 0
% 0.68/1.07 usefactor = 1
% 0.68/1.07 usesimpsplitting = 0
% 0.68/1.07 usesimpdemod = 0
% 0.68/1.07 usesimpres = 3
% 0.68/1.07
% 0.68/1.07 resimpinuse = 1000
% 0.68/1.07 resimpclauses = 20000
% 0.68/1.07 substype = standard
% 0.68/1.07 backwardsubs = 1
% 0.68/1.07 selectoldest = 5
% 0.68/1.07
% 0.68/1.07 litorderings [0] = split
% 0.68/1.07 litorderings [1] = liftord
% 0.68/1.07
% 0.68/1.07 termordering = none
% 0.68/1.07
% 0.68/1.07 litapriori = 1
% 0.68/1.07 termapriori = 0
% 0.68/1.07 litaposteriori = 0
% 0.68/1.07 termaposteriori = 0
% 0.68/1.07 demodaposteriori = 0
% 0.68/1.07 ordereqreflfact = 0
% 0.68/1.07
% 0.68/1.07 litselect = none
% 0.68/1.07
% 0.68/1.07 maxweight = 15
% 0.68/1.07 maxdepth = 30000
% 0.68/1.07 maxlength = 115
% 0.68/1.07 maxnrvars = 195
% 0.68/1.07 excuselevel = 1
% 0.68/1.07 increasemaxweight = 1
% 0.68/1.07
% 0.68/1.07 maxselected = 10000000
% 0.68/1.07 maxnrclauses = 10000000
% 0.68/1.07
% 0.68/1.07 showgenerated = 0
% 0.68/1.07 showkept = 0
% 0.68/1.07 showselected = 0
% 0.68/1.07 showdeleted = 0
% 0.68/1.07 showresimp = 1
% 0.68/1.07 showstatus = 2000
% 0.68/1.07
% 0.68/1.07 prologoutput = 1
% 0.68/1.07 nrgoals = 5000000
% 0.68/1.07 totalproof = 1
% 0.68/1.07
% 0.68/1.07 Symbols occurring in the translation:
% 0.68/1.07
% 0.68/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.07 . [1, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.68/1.07 ! [4, 1] (w:0, o:11, a:1, s:1, b:0),
% 0.68/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.07 'p_0' [40, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.68/1.07 'q_0' [41, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.68/1.07 'p_1' [42, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.68/1.07 'p_2' [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.68/1.07 'q_1' [44, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.68/1.07 'q_2' [45, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.68/1.07 'p_3' [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.68/1.07 'q_3' [47, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.68/1.07 'p_4' [48, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.68/1.07 'q_4' [49, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.68/1.07 'p_5' [50, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.68/1.07 'q_5' [51, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.68/1.07 'p_6' [52, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.68/1.07 'q_6' [53, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.68/1.07 'p_7' [54, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.68/1.07 'q_7' [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.68/1.07 'p_8' [56, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.68/1.07 'q_8' [57, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.68/1.07 'p_9' [58, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.68/1.07 'q_9' [59, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.68/1.07 'p_10' [60, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.68/1.07 'q_10' [61, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.68/1.07 a [62, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_0' [63, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_0' [64, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_1' [65, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_2' [66, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_1' [67, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_2' [68, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_3' [69, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_3' [70, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_4' [71, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_4' [72, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_5' [73, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_5' [74, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_6' [75, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_6' [76, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_7' [77, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_7' [78, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_8' [79, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_8' [80, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_9' [81, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_9' [82, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.68/1.07 'sym_p_10' [83, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.68/1.07 'sym_q_10' [84, 1] (w:1, o:51, a:1, s:1, b:0).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Starting Search:
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Bliksems!, er is een bewijs:
% 0.68/1.07 % SZS status Unsatisfiable
% 0.68/1.07 % SZS output start Refutation
% 0.68/1.07
% 0.68/1.07 clause( 0, [ ~( 'p_0'( X ) ), ~( 'q_0'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 1, [ 'p_0'( X ), ~( 'p_1'( X ) ), ~( 'p_2'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 3, [ 'p_1'( X ), ~( 'p_2'( X ) ), ~( 'p_3'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 5, [ 'p_2'( X ), ~( 'p_3'( X ) ), ~( 'p_4'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 7, [ 'p_3'( X ), ~( 'p_4'( X ) ), ~( 'p_5'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 9, [ 'p_4'( X ), ~( 'p_5'( X ) ), ~( 'p_6'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 11, [ 'p_5'( X ), ~( 'p_6'( X ) ), ~( 'p_7'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 13, [ 'p_6'( X ), ~( 'p_7'( X ) ), ~( 'p_8'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 15, [ 'p_7'( X ), ~( 'p_8'( X ) ), ~( 'p_9'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 17, [ ~( 'p_1'( X ) ), 'q_0'( X ), ~( 'q_2'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 22, [ 'q_2'( X ), ~( 'p_4'( X ) ), ~( 'q_3'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 23, [ ~( 'p_4'( X ) ), 'q_3'( X ), ~( 'q_5'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 28, [ 'q_5'( X ), ~( 'p_7'( X ) ), ~( 'q_6'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 30, [ 'q_6'( X ), ~( 'p_8'( X ) ), ~( 'q_7'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 32, [ 'q_7'( X ), ~( 'p_9'( X ) ), ~( 'q_8'( X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 37, [ 'p_8'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 38, [ 'p_9'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 39, [ 'q_8'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 108, [ 'p_6'( a ), ~( 'p_7'( a ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 117, [ 'p_7'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 118, [ 'p_6'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 119, [ 'p_5'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 120, [ 'p_4'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 121, [ 'p_2'( a ), ~( 'p_3'( a ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 122, [ 'p_3'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 125, [ 'p_1'( a ), ~( 'p_2'( a ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 126, [ 'p_2'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 127, [ 'p_1'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 128, [ 'p_0'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 135, [ 'q_7'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 139, [ 'q_6'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 142, [ 'q_5'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 143, [ 'q_3'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 145, [ 'q_2'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 147, [ 'q_0'( a ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 149, [] )
% 0.68/1.07 .
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 % SZS output end Refutation
% 0.68/1.07 found a proof!
% 0.68/1.07
% 0.68/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.07
% 0.68/1.07 initialclauses(
% 0.68/1.07 [ clause( 151, [ ~( 'p_0'( X ) ), ~( 'q_0'( X ) ) ] )
% 0.68/1.07 , clause( 152, [ 'p_0'( X ), ~( 'p_1'( X ) ), ~( 'p_2'( X ) ) ] )
% 0.68/1.07 , clause( 153, [ 'p_0'( X ), ~( 'q_1'( X ) ), ~( 'q_2'( X ) ) ] )
% 0.68/1.07 , clause( 154, [ 'p_1'( X ), ~( 'p_2'( X ) ), ~( 'p_3'( X ) ) ] )
% 0.68/1.07 , clause( 155, [ 'p_1'( X ), ~( 'q_2'( X ) ), ~( 'q_3'( X ) ) ] )
% 0.68/1.07 , clause( 156, [ 'p_2'( X ), ~( 'p_3'( X ) ), ~( 'p_4'( X ) ) ] )
% 0.68/1.07 , clause( 157, [ 'p_2'( X ), ~( 'q_3'( X ) ), ~( 'q_4'( X ) ) ] )
% 0.68/1.07 , clause( 158, [ 'p_3'( X ), ~( 'p_4'( X ) ), ~( 'p_5'( X ) ) ] )
% 0.68/1.07 , clause( 159, [ 'p_3'( X ), ~( 'q_4'( X ) ), ~( 'q_5'( X ) ) ] )
% 0.68/1.07 , clause( 160, [ 'p_4'( X ), ~( 'p_5'( X ) ), ~( 'p_6'( X ) ) ] )
% 0.68/1.07 , clause( 161, [ 'p_4'( X ), ~( 'q_5'( X ) ), ~( 'q_6'( X ) ) ] )
% 0.68/1.07 , clause( 162, [ 'p_5'( X ), ~( 'p_6'( X ) ), ~( 'p_7'( X ) ) ] )
% 0.68/1.07 , clause( 163, [ 'p_5'( X ), ~( 'q_6'( X ) ), ~( 'q_7'( X ) ) ] )
% 0.68/1.07 , clause( 164, [ 'p_6'( X ), ~( 'p_7'( X ) ), ~( 'p_8'( X ) ) ] )
% 0.68/1.07 , clause( 165, [ 'p_6'( X ), ~( 'q_7'( X ) ), ~( 'q_8'( X ) ) ] )
% 0.68/1.07 , clause( 166, [ 'p_7'( X ), ~( 'p_8'( X ) ), ~( 'p_9'( X ) ) ] )
% 0.68/1.07 , clause( 167, [ 'p_7'( X ), ~( 'q_8'( X ) ), ~( 'q_9'( X ) ) ] )
% 0.68/1.07 , clause( 168, [ 'q_0'( X ), ~( 'p_1'( X ) ), ~( 'q_2'( X ) ) ] )
% 0.68/1.07 , clause( 169, [ 'q_0'( X ), ~( 'q_1'( X ) ), ~( 'p_2'( X ) ) ] )
% 0.68/1.07 , clause( 170, [ 'q_1'( X ), ~( 'p_2'( X ) ), ~( 'q_3'( X ) ) ] )
% 0.68/1.07 , clause( 171, [ 'q_1'( X ), ~( 'q_2'( X ) ), ~( 'p_3'( X ) ) ] )
% 0.68/1.07 , clause( 172, [ 'q_2'( X ), ~( 'p_3'( X ) ), ~( 'q_4'( X ) ) ] )
% 0.68/1.07 , clause( 173, [ 'q_2'( X ), ~( 'q_3'( X ) ), ~( 'p_4'( X ) ) ] )
% 0.68/1.07 , clause( 174, [ 'q_3'( X ), ~( 'p_4'( X ) ), ~( 'q_5'( X ) ) ] )
% 0.68/1.07 , clause( 175, [ 'q_3'( X ), ~( 'q_4'( X ) ), ~( 'p_5'( X ) ) ] )
% 0.68/1.07 , clause( 176, [ 'q_4'( X ), ~( 'p_5'( X ) ), ~( 'q_6'( X ) ) ] )
% 0.68/1.07 , clause( 177, [ 'q_4'( X ), ~( 'q_5'( X ) ), ~( 'p_6'( X ) ) ] )
% 0.68/1.07 , clause( 178, [ 'q_5'( X ), ~( 'p_6'( X ) ), ~( 'q_7'( X ) ) ] )
% 0.68/1.07 , clause( 179, [ 'q_5'( X ), ~( 'q_6'( X ) ), ~( 'p_7'( X ) ) ] )
% 0.68/1.07 , clause( 180, [ 'q_6'( X ), ~( 'p_7'( X ) ), ~( 'q_8'( X ) ) ] )
% 0.68/1.07 , clause( 181, [ 'q_6'( X ), ~( 'q_7'( X ) ), ~( 'p_8'( X ) ) ] )
% 0.68/1.07 , clause( 182, [ 'q_7'( X ), ~( 'p_8'( X ) ), ~( 'q_9'( X ) ) ] )
% 0.68/1.07 , clause( 183, [ 'q_7'( X ), ~( 'q_8'( X ) ), ~( 'p_9'( X ) ) ] )
% 0.68/1.07 , clause( 184, [ 'p_9'( X ), ~( 'p_4'( X ) ) ] )
% 0.68/1.07 , clause( 185, [ 'p_10'( X ), ~( 'p_5'( X ) ) ] )
% 0.68/1.07 , clause( 186, [ 'q_9'( X ), ~( 'q_4'( X ) ) ] )
% 0.68/1.07 , clause( 187, [ 'q_10'( X ), ~( 'q_5'( X ) ) ] )
% 0.68/1.07 , clause( 188, [ 'p_8'( a ) ] )
% 0.68/1.07 , clause( 189, [ 'p_9'( a ) ] )
% 0.68/1.07 , clause( 190, [ 'q_8'( a ) ] )
% 0.68/1.07 , clause( 191, [ 'q_9'( a ) ] )
% 0.68/1.07 , clause( 192, [ 'sym_p_0'( X ), 'sym_q_0'( X ) ] )
% 0.68/1.07 , clause( 193, [ ~( 'sym_p_0'( X ) ), 'sym_p_1'( X ), 'sym_p_2'( X ) ] )
% 0.68/1.07 , clause( 194, [ ~( 'sym_p_0'( X ) ), 'sym_q_1'( X ), 'sym_q_2'( X ) ] )
% 0.68/1.07 , clause( 195, [ ~( 'sym_p_1'( X ) ), 'sym_p_2'( X ), 'sym_p_3'( X ) ] )
% 0.68/1.07 , clause( 196, [ ~( 'sym_p_1'( X ) ), 'sym_q_2'( X ), 'sym_q_3'( X ) ] )
% 0.68/1.07 , clause( 197, [ ~( 'sym_p_2'( X ) ), 'sym_p_3'( X ), 'sym_p_4'( X ) ] )
% 0.68/1.07 , clause( 198, [ ~( 'sym_p_2'( X ) ), 'sym_q_3'( X ), 'sym_q_4'( X ) ] )
% 0.68/1.07 , clause( 199, [ ~( 'sym_p_3'( X ) ), 'sym_p_4'( X ), 'sym_p_5'( X ) ] )
% 0.68/1.07 , clause( 200, [ ~( 'sym_p_3'( X ) ), 'sym_q_4'( X ), 'sym_q_5'( X ) ] )
% 0.68/1.07 , clause( 201, [ ~( 'sym_p_4'( X ) ), 'sym_p_5'( X ), 'sym_p_6'( X ) ] )
% 0.68/1.07 , clause( 202, [ ~( 'sym_p_4'( X ) ), 'sym_q_5'( X ), 'sym_q_6'( X ) ] )
% 0.68/1.07 , clause( 203, [ ~( 'sym_p_5'( X ) ), 'sym_p_6'( X ), 'sym_p_7'( X ) ] )
% 0.68/1.07 , clause( 204, [ ~( 'sym_p_5'( X ) ), 'sym_q_6'( X ), 'sym_q_7'( X ) ] )
% 0.68/1.07 , clause( 205, [ ~( 'sym_p_6'( X ) ), 'sym_p_7'( X ), 'sym_p_8'( X ) ] )
% 0.68/1.07 , clause( 206, [ ~( 'sym_p_6'( X ) ), 'sym_q_7'( X ), 'sym_q_8'( X ) ] )
% 0.68/1.07 , clause( 207, [ ~( 'sym_p_7'( X ) ), 'sym_p_8'( X ), 'sym_p_9'( X ) ] )
% 0.68/1.07 , clause( 208, [ ~( 'sym_p_7'( X ) ), 'sym_q_8'( X ), 'sym_q_9'( X ) ] )
% 0.68/1.07 , clause( 209, [ ~( 'sym_q_0'( X ) ), 'sym_p_1'( X ), 'sym_q_2'( X ) ] )
% 0.68/1.07 , clause( 210, [ ~( 'sym_q_0'( X ) ), 'sym_q_1'( X ), 'sym_p_2'( X ) ] )
% 0.68/1.07 , clause( 211, [ ~( 'sym_q_1'( X ) ), 'sym_p_2'( X ), 'sym_q_3'( X ) ] )
% 0.68/1.07 , clause( 212, [ ~( 'sym_q_1'( X ) ), 'sym_q_2'( X ), 'sym_p_3'( X ) ] )
% 0.68/1.07 , clause( 213, [ ~( 'sym_q_2'( X ) ), 'sym_p_3'( X ), 'sym_q_4'( X ) ] )
% 0.68/1.07 , clause( 214, [ ~( 'sym_q_2'( X ) ), 'sym_q_3'( X ), 'sym_p_4'( X ) ] )
% 0.68/1.07 , clause( 215, [ ~( 'sym_q_3'( X ) ), 'sym_p_4'( X ), 'sym_q_5'( X ) ] )
% 0.68/1.07 , clause( 216, [ ~( 'sym_q_3'( X ) ), 'sym_q_4'( X ), 'sym_p_5'( X ) ] )
% 0.68/1.07 , clause( 217, [ ~( 'sym_q_4'( X ) ), 'sym_p_5'( X ), 'sym_q_6'( X ) ] )
% 0.68/1.07 , clause( 218, [ ~( 'sym_q_4'( X ) ), 'sym_q_5'( X ), 'sym_p_6'( X ) ] )
% 0.68/1.07 , clause( 219, [ ~( 'sym_q_5'( X ) ), 'sym_p_6'( X ), 'sym_q_7'( X ) ] )
% 0.68/1.07 , clause( 220, [ ~( 'sym_q_5'( X ) ), 'sym_q_6'( X ), 'sym_p_7'( X ) ] )
% 0.68/1.07 , clause( 221, [ ~( 'sym_q_6'( X ) ), 'sym_p_7'( X ), 'sym_q_8'( X ) ] )
% 0.68/1.07 , clause( 222, [ ~( 'sym_q_6'( X ) ), 'sym_q_7'( X ), 'sym_p_8'( X ) ] )
% 0.68/1.07 , clause( 223, [ ~( 'sym_q_7'( X ) ), 'sym_p_8'( X ), 'sym_q_9'( X ) ] )
% 0.68/1.07 , clause( 224, [ ~( 'sym_q_7'( X ) ), 'sym_q_8'( X ), 'sym_p_9'( X ) ] )
% 0.68/1.07 , clause( 225, [ ~( 'sym_p_9'( X ) ), 'sym_p_4'( X ) ] )
% 0.68/1.07 , clause( 226, [ ~( 'sym_p_10'( X ) ), 'sym_p_5'( X ) ] )
% 0.68/1.07 , clause( 227, [ ~( 'sym_q_9'( X ) ), 'sym_q_4'( X ) ] )
% 0.68/1.07 , clause( 228, [ ~( 'sym_q_10'( X ) ), 'sym_q_5'( X ) ] )
% 0.68/1.07 , clause( 229, [ ~( 'sym_p_8'( a ) ) ] )
% 0.68/1.07 , clause( 230, [ ~( 'sym_p_9'( a ) ) ] )
% 0.68/1.07 , clause( 231, [ ~( 'sym_q_8'( a ) ) ] )
% 0.68/1.07 , clause( 232, [ ~( 'sym_q_9'( a ) ) ] )
% 0.68/1.07 ] ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 0, [ ~( 'p_0'( X ) ), ~( 'q_0'( X ) ) ] )
% 0.68/1.07 , clause( 151, [ ~( 'p_0'( X ) ), ~( 'q_0'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 1 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 1, [ 'p_0'( X ), ~( 'p_1'( X ) ), ~( 'p_2'( X ) ) ] )
% 0.68/1.07 , clause( 152, [ 'p_0'( X ), ~( 'p_1'( X ) ), ~( 'p_2'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 3, [ 'p_1'( X ), ~( 'p_2'( X ) ), ~( 'p_3'( X ) ) ] )
% 0.68/1.07 , clause( 154, [ 'p_1'( X ), ~( 'p_2'( X ) ), ~( 'p_3'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 5, [ 'p_2'( X ), ~( 'p_3'( X ) ), ~( 'p_4'( X ) ) ] )
% 0.68/1.07 , clause( 156, [ 'p_2'( X ), ~( 'p_3'( X ) ), ~( 'p_4'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 7, [ 'p_3'( X ), ~( 'p_4'( X ) ), ~( 'p_5'( X ) ) ] )
% 0.68/1.07 , clause( 158, [ 'p_3'( X ), ~( 'p_4'( X ) ), ~( 'p_5'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 9, [ 'p_4'( X ), ~( 'p_5'( X ) ), ~( 'p_6'( X ) ) ] )
% 0.68/1.07 , clause( 160, [ 'p_4'( X ), ~( 'p_5'( X ) ), ~( 'p_6'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 11, [ 'p_5'( X ), ~( 'p_6'( X ) ), ~( 'p_7'( X ) ) ] )
% 0.68/1.07 , clause( 162, [ 'p_5'( X ), ~( 'p_6'( X ) ), ~( 'p_7'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 13, [ 'p_6'( X ), ~( 'p_7'( X ) ), ~( 'p_8'( X ) ) ] )
% 0.68/1.07 , clause( 164, [ 'p_6'( X ), ~( 'p_7'( X ) ), ~( 'p_8'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 15, [ 'p_7'( X ), ~( 'p_8'( X ) ), ~( 'p_9'( X ) ) ] )
% 0.68/1.07 , clause( 166, [ 'p_7'( X ), ~( 'p_8'( X ) ), ~( 'p_9'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 17, [ ~( 'p_1'( X ) ), 'q_0'( X ), ~( 'q_2'( X ) ) ] )
% 0.68/1.07 , clause( 168, [ 'q_0'( X ), ~( 'p_1'( X ) ), ~( 'q_2'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.07 0 ), ==>( 2, 2 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 22, [ 'q_2'( X ), ~( 'p_4'( X ) ), ~( 'q_3'( X ) ) ] )
% 0.68/1.07 , clause( 173, [ 'q_2'( X ), ~( 'q_3'( X ) ), ~( 'p_4'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 23, [ ~( 'p_4'( X ) ), 'q_3'( X ), ~( 'q_5'( X ) ) ] )
% 0.68/1.07 , clause( 174, [ 'q_3'( X ), ~( 'p_4'( X ) ), ~( 'q_5'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.07 0 ), ==>( 2, 2 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 28, [ 'q_5'( X ), ~( 'p_7'( X ) ), ~( 'q_6'( X ) ) ] )
% 0.68/1.07 , clause( 179, [ 'q_5'( X ), ~( 'q_6'( X ) ), ~( 'p_7'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 30, [ 'q_6'( X ), ~( 'p_8'( X ) ), ~( 'q_7'( X ) ) ] )
% 0.68/1.07 , clause( 181, [ 'q_6'( X ), ~( 'q_7'( X ) ), ~( 'p_8'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 32, [ 'q_7'( X ), ~( 'p_9'( X ) ), ~( 'q_8'( X ) ) ] )
% 0.68/1.07 , clause( 183, [ 'q_7'( X ), ~( 'q_8'( X ) ), ~( 'p_9'( X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 37, [ 'p_8'( a ) ] )
% 0.68/1.07 , clause( 188, [ 'p_8'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 38, [ 'p_9'( a ) ] )
% 0.68/1.07 , clause( 189, [ 'p_9'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 39, [ 'q_8'( a ) ] )
% 0.68/1.07 , clause( 190, [ 'q_8'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 233, [ 'p_6'( a ), ~( 'p_7'( a ) ) ] )
% 0.68/1.07 , clause( 13, [ 'p_6'( X ), ~( 'p_7'( X ) ), ~( 'p_8'( X ) ) ] )
% 0.68/1.07 , 2, clause( 37, [ 'p_8'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 108, [ 'p_6'( a ), ~( 'p_7'( a ) ) ] )
% 0.68/1.07 , clause( 233, [ 'p_6'( a ), ~( 'p_7'( a ) ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.68/1.07 ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 234, [ 'p_7'( a ), ~( 'p_8'( a ) ) ] )
% 0.68/1.07 , clause( 15, [ 'p_7'( X ), ~( 'p_8'( X ) ), ~( 'p_9'( X ) ) ] )
% 0.68/1.07 , 2, clause( 38, [ 'p_9'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 235, [ 'p_7'( a ) ] )
% 0.68/1.07 , clause( 234, [ 'p_7'( a ), ~( 'p_8'( a ) ) ] )
% 0.68/1.07 , 1, clause( 37, [ 'p_8'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 117, [ 'p_7'( a ) ] )
% 0.68/1.07 , clause( 235, [ 'p_7'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 236, [ 'p_6'( a ) ] )
% 0.68/1.07 , clause( 108, [ 'p_6'( a ), ~( 'p_7'( a ) ) ] )
% 0.68/1.07 , 1, clause( 117, [ 'p_7'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 118, [ 'p_6'( a ) ] )
% 0.68/1.07 , clause( 236, [ 'p_6'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 237, [ 'p_5'( a ), ~( 'p_6'( a ) ) ] )
% 0.68/1.07 , clause( 11, [ 'p_5'( X ), ~( 'p_6'( X ) ), ~( 'p_7'( X ) ) ] )
% 0.68/1.07 , 2, clause( 117, [ 'p_7'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 238, [ 'p_5'( a ) ] )
% 0.68/1.07 , clause( 237, [ 'p_5'( a ), ~( 'p_6'( a ) ) ] )
% 0.68/1.07 , 1, clause( 118, [ 'p_6'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 119, [ 'p_5'( a ) ] )
% 0.68/1.07 , clause( 238, [ 'p_5'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 239, [ 'p_4'( a ), ~( 'p_5'( a ) ) ] )
% 0.68/1.07 , clause( 9, [ 'p_4'( X ), ~( 'p_5'( X ) ), ~( 'p_6'( X ) ) ] )
% 0.68/1.07 , 2, clause( 118, [ 'p_6'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 240, [ 'p_4'( a ) ] )
% 0.68/1.07 , clause( 239, [ 'p_4'( a ), ~( 'p_5'( a ) ) ] )
% 0.68/1.07 , 1, clause( 119, [ 'p_5'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 120, [ 'p_4'( a ) ] )
% 0.68/1.07 , clause( 240, [ 'p_4'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 241, [ 'p_2'( a ), ~( 'p_3'( a ) ) ] )
% 0.68/1.07 , clause( 5, [ 'p_2'( X ), ~( 'p_3'( X ) ), ~( 'p_4'( X ) ) ] )
% 0.68/1.07 , 2, clause( 120, [ 'p_4'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 121, [ 'p_2'( a ), ~( 'p_3'( a ) ) ] )
% 0.68/1.07 , clause( 241, [ 'p_2'( a ), ~( 'p_3'( a ) ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.68/1.07 ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 242, [ 'p_3'( a ), ~( 'p_4'( a ) ) ] )
% 0.68/1.07 , clause( 7, [ 'p_3'( X ), ~( 'p_4'( X ) ), ~( 'p_5'( X ) ) ] )
% 0.68/1.07 , 2, clause( 119, [ 'p_5'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 243, [ 'p_3'( a ) ] )
% 0.68/1.07 , clause( 242, [ 'p_3'( a ), ~( 'p_4'( a ) ) ] )
% 0.68/1.07 , 1, clause( 120, [ 'p_4'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 122, [ 'p_3'( a ) ] )
% 0.68/1.07 , clause( 243, [ 'p_3'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 244, [ 'p_1'( a ), ~( 'p_2'( a ) ) ] )
% 0.68/1.07 , clause( 3, [ 'p_1'( X ), ~( 'p_2'( X ) ), ~( 'p_3'( X ) ) ] )
% 0.68/1.07 , 2, clause( 122, [ 'p_3'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 125, [ 'p_1'( a ), ~( 'p_2'( a ) ) ] )
% 0.68/1.07 , clause( 244, [ 'p_1'( a ), ~( 'p_2'( a ) ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.68/1.07 ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 245, [ 'p_2'( a ) ] )
% 0.68/1.07 , clause( 121, [ 'p_2'( a ), ~( 'p_3'( a ) ) ] )
% 0.68/1.07 , 1, clause( 122, [ 'p_3'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 126, [ 'p_2'( a ) ] )
% 0.68/1.07 , clause( 245, [ 'p_2'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 246, [ 'p_1'( a ) ] )
% 0.68/1.07 , clause( 125, [ 'p_1'( a ), ~( 'p_2'( a ) ) ] )
% 0.68/1.07 , 1, clause( 126, [ 'p_2'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 127, [ 'p_1'( a ) ] )
% 0.68/1.07 , clause( 246, [ 'p_1'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 247, [ 'p_0'( a ), ~( 'p_1'( a ) ) ] )
% 0.68/1.07 , clause( 1, [ 'p_0'( X ), ~( 'p_1'( X ) ), ~( 'p_2'( X ) ) ] )
% 0.68/1.07 , 2, clause( 126, [ 'p_2'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 248, [ 'p_0'( a ) ] )
% 0.68/1.07 , clause( 247, [ 'p_0'( a ), ~( 'p_1'( a ) ) ] )
% 0.68/1.07 , 1, clause( 127, [ 'p_1'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 128, [ 'p_0'( a ) ] )
% 0.68/1.07 , clause( 248, [ 'p_0'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 249, [ 'q_7'( a ), ~( 'p_9'( a ) ) ] )
% 0.68/1.07 , clause( 32, [ 'q_7'( X ), ~( 'p_9'( X ) ), ~( 'q_8'( X ) ) ] )
% 0.68/1.07 , 2, clause( 39, [ 'q_8'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 250, [ 'q_7'( a ) ] )
% 0.68/1.07 , clause( 249, [ 'q_7'( a ), ~( 'p_9'( a ) ) ] )
% 0.68/1.07 , 1, clause( 38, [ 'p_9'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 135, [ 'q_7'( a ) ] )
% 0.68/1.07 , clause( 250, [ 'q_7'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 251, [ 'q_6'( a ), ~( 'p_8'( a ) ) ] )
% 0.68/1.07 , clause( 30, [ 'q_6'( X ), ~( 'p_8'( X ) ), ~( 'q_7'( X ) ) ] )
% 0.68/1.07 , 2, clause( 135, [ 'q_7'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 252, [ 'q_6'( a ) ] )
% 0.68/1.07 , clause( 251, [ 'q_6'( a ), ~( 'p_8'( a ) ) ] )
% 0.68/1.07 , 1, clause( 37, [ 'p_8'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 139, [ 'q_6'( a ) ] )
% 0.68/1.07 , clause( 252, [ 'q_6'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 253, [ 'q_5'( a ), ~( 'p_7'( a ) ) ] )
% 0.68/1.07 , clause( 28, [ 'q_5'( X ), ~( 'p_7'( X ) ), ~( 'q_6'( X ) ) ] )
% 0.68/1.07 , 2, clause( 139, [ 'q_6'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 254, [ 'q_5'( a ) ] )
% 0.68/1.07 , clause( 253, [ 'q_5'( a ), ~( 'p_7'( a ) ) ] )
% 0.68/1.07 , 1, clause( 117, [ 'p_7'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 142, [ 'q_5'( a ) ] )
% 0.68/1.07 , clause( 254, [ 'q_5'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 255, [ ~( 'p_4'( a ) ), 'q_3'( a ) ] )
% 0.68/1.07 , clause( 23, [ ~( 'p_4'( X ) ), 'q_3'( X ), ~( 'q_5'( X ) ) ] )
% 0.68/1.07 , 2, clause( 142, [ 'q_5'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 256, [ 'q_3'( a ) ] )
% 0.68/1.07 , clause( 255, [ ~( 'p_4'( a ) ), 'q_3'( a ) ] )
% 0.68/1.07 , 0, clause( 120, [ 'p_4'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 143, [ 'q_3'( a ) ] )
% 0.68/1.07 , clause( 256, [ 'q_3'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 257, [ 'q_2'( a ), ~( 'p_4'( a ) ) ] )
% 0.68/1.07 , clause( 22, [ 'q_2'( X ), ~( 'p_4'( X ) ), ~( 'q_3'( X ) ) ] )
% 0.68/1.07 , 2, clause( 143, [ 'q_3'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 258, [ 'q_2'( a ) ] )
% 0.68/1.07 , clause( 257, [ 'q_2'( a ), ~( 'p_4'( a ) ) ] )
% 0.68/1.07 , 1, clause( 120, [ 'p_4'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 145, [ 'q_2'( a ) ] )
% 0.68/1.07 , clause( 258, [ 'q_2'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 259, [ ~( 'p_1'( a ) ), 'q_0'( a ) ] )
% 0.68/1.07 , clause( 17, [ ~( 'p_1'( X ) ), 'q_0'( X ), ~( 'q_2'( X ) ) ] )
% 0.68/1.07 , 2, clause( 145, [ 'q_2'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 260, [ 'q_0'( a ) ] )
% 0.68/1.07 , clause( 259, [ ~( 'p_1'( a ) ), 'q_0'( a ) ] )
% 0.68/1.07 , 0, clause( 127, [ 'p_1'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 147, [ 'q_0'( a ) ] )
% 0.68/1.07 , clause( 260, [ 'q_0'( a ) ] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 261, [ ~( 'p_0'( a ) ) ] )
% 0.68/1.07 , clause( 0, [ ~( 'p_0'( X ) ), ~( 'q_0'( X ) ) ] )
% 0.68/1.07 , 1, clause( 147, [ 'q_0'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 resolution(
% 0.68/1.07 clause( 262, [] )
% 0.68/1.07 , clause( 261, [ ~( 'p_0'( a ) ) ] )
% 0.68/1.07 , 0, clause( 128, [ 'p_0'( a ) ] )
% 0.68/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 149, [] )
% 0.68/1.07 , clause( 262, [] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 end.
% 0.68/1.07
% 0.68/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.07
% 0.68/1.07 Memory use:
% 0.68/1.07
% 0.68/1.07 space for terms: 2584
% 0.68/1.07 space for clauses: 7752
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 clauses generated: 183
% 0.68/1.07 clauses kept: 150
% 0.68/1.07 clauses selected: 128
% 0.68/1.07 clauses deleted: 5
% 0.68/1.07 clauses inuse deleted: 0
% 0.68/1.07
% 0.68/1.07 subsentry: 32
% 0.68/1.07 literals s-matched: 32
% 0.68/1.07 literals matched: 32
% 0.68/1.07 full subsumption: 0
% 0.68/1.07
% 0.68/1.07 checksum: -1136342325
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Bliksem ended
%------------------------------------------------------------------------------