TSTP Solution File: GEO087-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO087-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : Sat Jul 16 02:51:31 EDT 2022
% Result : Unsatisfiable 0.72s 1.16s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO087-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 : Sat Jun 18 07:37:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.16 *** allocated 10000 integers for termspace/termends
% 0.72/1.16 *** allocated 10000 integers for clauses
% 0.72/1.16 *** allocated 10000 integers for justifications
% 0.72/1.16 Bliksem 1.12
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Automatic Strategy Selection
% 0.72/1.16
% 0.72/1.16 Clauses:
% 0.72/1.16 [
% 0.72/1.16 [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ), 'incident_c'( Z, Y
% 0.72/1.16 ) ],
% 0.72/1.16 [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ],
% 0.72/1.16 [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X, Y ) ],
% 0.72/1.16 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, X ) ), 'incident_c'( T,
% 0.72/1.16 Y ), 'incident_c'( T, Z ) ],
% 0.72/1.16 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Y ) ), 'incident_c'( T,
% 0.72/1.16 X ) ],
% 0.72/1.16 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Z ) ), 'incident_c'( T,
% 0.72/1.16 X ) ],
% 0.72/1.16 [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), 'incident_c'( 'ax0_sk2'( X, Y
% 0.72/1.16 , Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X ) )
% 0.72/1.16 ],
% 0.72/1.16 [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), ~( 'incident_c'( 'ax0_sk2'( X
% 0.72/1.16 , Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.72/1.16 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), 'incident_c'( 'ax0_sk2'(
% 0.72/1.16 X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X
% 0.72/1.16 ) ) ],
% 0.72/1.16 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), 'incident_c'( 'ax0_sk2'(
% 0.72/1.16 X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X
% 0.72/1.16 ) ) ],
% 0.72/1.16 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), ~( 'incident_c'(
% 0.72/1.16 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.72/1.16 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), ~( 'incident_c'(
% 0.72/1.16 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.72/1.16 [ ~( 'end_point'( X, Y ) ), 'incident_c'( X, Y ) ],
% 0.72/1.16 [ ~( 'end_point'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 'part_of'( T, Y )
% 0.72/1.16 ), ~( 'incident_c'( X, Z ) ), ~( 'incident_c'( X, T ) ), 'part_of'( Z, T
% 0.72/1.16 ), 'part_of'( T, Z ) ],
% 0.72/1.16 [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk3'( Y, X ), Y ),
% 0.72/1.16 'end_point'( X, Y ) ],
% 0.72/1.16 [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk4'( Y, X ), Y ),
% 0.72/1.16 'end_point'( X, Y ) ],
% 0.72/1.16 [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk3'( Y, X ) ),
% 0.72/1.16 'end_point'( X, Y ) ],
% 0.72/1.16 [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk4'( Y, X ) ),
% 0.72/1.16 'end_point'( X, Y ) ],
% 0.72/1.16 [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk3'( Y, X ), 'ax0_sk4'(
% 0.72/1.16 Y, X ) ) ), 'end_point'( X, Y ) ],
% 0.72/1.16 [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk4'( Y, X ), 'ax0_sk3'(
% 0.72/1.16 Y, X ) ) ), 'end_point'( X, Y ) ],
% 0.72/1.16 [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ],
% 0.72/1.16 [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ],
% 0.72/1.16 [ ~( 'incident_c'( X, Y ) ), 'end_point'( X, Y ), 'inner_point'( X, Y )
% 0.72/1.16 ],
% 0.72/1.16 [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Y ) ],
% 0.72/1.16 [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Z ) ],
% 0.72/1.16 [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 'incident_c'( T, Z
% 0.72/1.16 ) ), 'end_point'( T, Y ) ],
% 0.72/1.16 [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 'incident_c'( T, Z
% 0.72/1.16 ) ), 'end_point'( T, Z ) ],
% 0.72/1.16 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 'incident_c'(
% 0.72/1.16 'ax0_sk5'( Z, Y, X ), Y ), meet( X, Y, Z ) ],
% 0.72/1.16 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 'incident_c'(
% 0.72/1.16 'ax0_sk5'( Z, Y, X ), Z ), meet( X, Y, Z ) ],
% 0.72/1.16 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 'end_point'(
% 0.72/1.16 'ax0_sk5'( Z, Y, X ), Y ) ), ~( 'end_point'( 'ax0_sk5'( Z, Y, X ), Z ) )
% 0.72/1.16 , meet( X, Y, Z ) ],
% 0.72/1.16 [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ],
% 0.72/1.16 [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ],
% 0.72/1.16 [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ],
% 0.72/1.16 [ ~( 'end_point'( X, Y ) ), open( Y ) ],
% 0.72/1.16 [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ],
% 0.72/1.16 [ ~( 'part_of'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 'part_of'( T, Y ) )
% 0.72/1.16 , ~( 'end_point'( U, X ) ), ~( 'end_point'( U, Z ) ), ~( 'end_point'( U,
% 0.72/1.16 T ) ), 'part_of'( Z, T ), 'part_of'( T, Z ), 'part_of'( X, Z ), 'part_of'(
% 0.72/1.16 Z, X ), 'part_of'( X, T ), 'part_of'( T, X ) ],
% 0.72/1.16 [ 'inner_point'( 'ax0_sk8'( X ), X ) ],
% 0.72/1.16 [ ~( 'inner_point'( X, Y ) ), meet( X, 'ax0_sk9'( X, Y ), 'ax0_sk10'( X
% 0.72/1.16 , Y ) ) ],
% 0.72/1.16 [ ~( 'inner_point'( X, Y ) ), =( Y, sum( 'ax0_sk9'( X, Y ), 'ax0_sk10'(
% 0.72/1.16 X, Y ) ) ) ],
% 0.72/1.16 [ ~( 'end_point'( X, Y ) ), ~( 'end_point'( Z, Y ) ), ~( 'end_point'( T
% 0.72/1.16 , Y ) ), =( X, Z ), =( X, T ), =( Z, T ) ],
% 0.72/1.16 [ ~( 'end_point'( X, Y ) ), 'end_point'( 'ax0_sk11'( X, Y ), Y ) ],
% 0.72/1.16 [ ~( 'end_point'( X, Y ) ), ~( =( X, 'ax0_sk11'( X, Y ) ) ) ],
% 0.72/1.16 [ ~( closed( X ) ), ~( meet( Y, Z, T ) ), ~( =( X, sum( Z, T ) ) ), ~(
% 0.72/1.16 'end_point'( U, Z ) ), meet( U, Z, T ) ],
% 0.72/1.16 [ ~( meet( X, Y, Z ) ), =( 'ax0_sk12'( Z, Y ), sum( Y, Z ) ) ],
% 0.72/1.16 [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), 'incident_c'( 'ax0_sk13'( X, Y
% 0.72/1.16 ), X ), =( Y, X ) ],
% 0.72/1.16 [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), ~( 'incident_c'( 'ax0_sk13'( X
% 0.72/1.16 , Y ), Y ) ), =( Y, X ) ],
% 0.72/1.16 [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), 'incident_c'( 'ax0_sk13'(
% 0.72/1.16 X, Y ), X ), =( Y, X ) ],
% 0.72/1.16 [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), ~( 'incident_c'(
% 0.72/1.16 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ],
% 0.72/1.16 [ 'part_of'( sk14, sk15 ) ],
% 0.72/1.16 [ meet( sk16, sk14, sk15 ) ]
% 0.72/1.16 ] .
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 percentage equality = 0.115108, percentage horn = 0.644444
% 0.72/1.16 This is a problem with some equality
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Options Used:
% 0.72/1.16
% 0.72/1.16 useres = 1
% 0.72/1.16 useparamod = 1
% 0.72/1.16 useeqrefl = 1
% 0.72/1.16 useeqfact = 1
% 0.72/1.16 usefactor = 1
% 0.72/1.16 usesimpsplitting = 0
% 0.72/1.16 usesimpdemod = 5
% 0.72/1.16 usesimpres = 3
% 0.72/1.16
% 0.72/1.16 resimpinuse = 1000
% 0.72/1.16 resimpclauses = 20000
% 0.72/1.16 substype = eqrewr
% 0.72/1.16 backwardsubs = 1
% 0.72/1.16 selectoldest = 5
% 0.72/1.16
% 0.72/1.16 litorderings [0] = split
% 0.72/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.16
% 0.72/1.16 termordering = kbo
% 0.72/1.16
% 0.72/1.16 litapriori = 0
% 0.72/1.16 termapriori = 1
% 0.72/1.16 litaposteriori = 0
% 0.72/1.16 termaposteriori = 0
% 0.72/1.16 demodaposteriori = 0
% 0.72/1.16 ordereqreflfact = 0
% 0.72/1.16
% 0.72/1.16 litselect = negord
% 0.72/1.16
% 0.72/1.16 maxweight = 15
% 0.72/1.16 maxdepth = 30000
% 0.72/1.16 maxlength = 115
% 0.72/1.16 maxnrvars = 195
% 0.72/1.16 excuselevel = 1
% 0.72/1.16 increasemaxweight = 1
% 0.72/1.16
% 0.72/1.16 maxselected = 10000000
% 0.72/1.16 maxnrclauses = 10000000
% 0.72/1.16
% 0.72/1.16 showgenerated = 0
% 0.72/1.16 showkept = 0
% 0.72/1.16 showselected = 0
% 0.72/1.16 showdeleted = 0
% 0.72/1.16 showresimp = 1
% 0.72/1.16 showstatus = 2000
% 0.72/1.16
% 0.72/1.16 prologoutput = 1
% 0.72/1.16 nrgoals = 5000000
% 0.72/1.16 totalproof = 1
% 0.72/1.16
% 0.72/1.16 Symbols occurring in the translation:
% 0.72/1.16
% 0.72/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.16 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.16 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.72/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.16 'part_of' [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.16 'incident_c' [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk1' [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.16 sum [45, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk2' [47, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.16 'end_point' [48, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk3' [49, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk4' [50, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.16 'inner_point' [51, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.16 meet [52, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk5' [53, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.72/1.16 closed [54, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk6' [55, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.16 open [56, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk7' [57, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk8' [59, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk9' [60, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk10' [61, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk11' [62, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk12' [63, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.16 'ax0_sk13' [64, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.16 sk14 [65, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.72/1.16 sk15 [66, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.72/1.16 sk16 [67, 0] (w:1, o:7, a:1, s:1, b:0).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Starting Search:
% 0.72/1.16
% 0.72/1.16 Resimplifying inuse:
% 0.72/1.16 Done
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Bliksems!, er is een bewijs:
% 0.72/1.16 % SZS status Unsatisfiable
% 0.72/1.16 % SZS output start Refutation
% 0.72/1.16
% 0.72/1.16 clause( 0, [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ),
% 0.72/1.16 'incident_c'( Z, Y ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 17, [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 18, [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 22, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 0.72/1.16 'incident_c'( T, Z ) ), 'end_point'( T, Y ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 33, [ 'inner_point'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 43, [ 'part_of'( sk14, sk15 ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 44, [ meet( sk16, sk14, sk15 ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 66, [ ~( 'incident_c'( X, sk14 ) ), 'incident_c'( X, sk15 ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 67, [ ~( 'end_point'( 'ax0_sk8'( X ), X ) ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 69, [ 'incident_c'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 1219, [ ~( 'incident_c'( X, sk14 ) ), 'end_point'( X, sk14 ) ] )
% 0.72/1.16 .
% 0.72/1.16 clause( 1266, [] )
% 0.72/1.16 .
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 % SZS output end Refutation
% 0.72/1.16 found a proof!
% 0.72/1.16
% 0.72/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.16
% 0.72/1.16 initialclauses(
% 0.72/1.16 [ clause( 1268, [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ),
% 0.72/1.16 'incident_c'( Z, Y ) ] )
% 0.72/1.16 , clause( 1269, [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ]
% 0.72/1.16 )
% 0.72/1.16 , clause( 1270, [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X,
% 0.72/1.16 Y ) ] )
% 0.72/1.16 , clause( 1271, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, X ) ),
% 0.72/1.16 'incident_c'( T, Y ), 'incident_c'( T, Z ) ] )
% 0.72/1.16 , clause( 1272, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Y ) ),
% 0.72/1.16 'incident_c'( T, X ) ] )
% 0.72/1.16 , clause( 1273, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Z ) ),
% 0.72/1.16 'incident_c'( T, X ) ] )
% 0.72/1.16 , clause( 1274, [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), 'incident_c'(
% 0.72/1.16 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z
% 0.72/1.16 , sum( Y, X ) ) ] )
% 0.72/1.16 , clause( 1275, [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), ~( 'incident_c'(
% 0.72/1.16 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.72/1.16 , clause( 1276, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ),
% 0.72/1.16 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z
% 0.72/1.16 ), X ), =( Z, sum( Y, X ) ) ] )
% 0.72/1.16 , clause( 1277, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ),
% 0.72/1.16 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z
% 0.72/1.16 ), X ), =( Z, sum( Y, X ) ) ] )
% 0.72/1.16 , clause( 1278, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), ~(
% 0.72/1.16 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.72/1.16 , clause( 1279, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), ~(
% 0.72/1.16 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.72/1.16 , clause( 1280, [ ~( 'end_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.72/1.16 , clause( 1281, [ ~( 'end_point'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~(
% 0.72/1.16 'part_of'( T, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 'incident_c'( X, T ) )
% 0.72/1.16 , 'part_of'( Z, T ), 'part_of'( T, Z ) ] )
% 0.72/1.16 , clause( 1282, [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk3'( Y, X ),
% 0.72/1.16 Y ), 'end_point'( X, Y ) ] )
% 0.72/1.16 , clause( 1283, [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk4'( Y, X ),
% 0.72/1.16 Y ), 'end_point'( X, Y ) ] )
% 0.72/1.16 , clause( 1284, [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk3'( Y
% 0.72/1.16 , X ) ), 'end_point'( X, Y ) ] )
% 0.72/1.16 , clause( 1285, [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk4'( Y
% 0.72/1.16 , X ) ), 'end_point'( X, Y ) ] )
% 0.72/1.16 , clause( 1286, [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk3'( Y, X
% 0.72/1.16 ), 'ax0_sk4'( Y, X ) ) ), 'end_point'( X, Y ) ] )
% 0.72/1.16 , clause( 1287, [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk4'( Y, X
% 0.72/1.16 ), 'ax0_sk3'( Y, X ) ) ), 'end_point'( X, Y ) ] )
% 0.72/1.16 , clause( 1288, [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.72/1.16 , clause( 1289, [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ] )
% 0.72/1.16 , clause( 1290, [ ~( 'incident_c'( X, Y ) ), 'end_point'( X, Y ),
% 0.72/1.16 'inner_point'( X, Y ) ] )
% 0.72/1.16 , clause( 1291, [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Y ) ] )
% 0.72/1.16 , clause( 1292, [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Z ) ] )
% 0.72/1.16 , clause( 1293, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 0.72/1.16 'incident_c'( T, Z ) ), 'end_point'( T, Y ) ] )
% 0.72/1.16 , clause( 1294, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 0.72/1.16 'incident_c'( T, Z ) ), 'end_point'( T, Z ) ] )
% 0.72/1.16 , clause( 1295, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ),
% 0.72/1.16 'incident_c'( 'ax0_sk5'( Z, Y, X ), Y ), meet( X, Y, Z ) ] )
% 0.72/1.16 , clause( 1296, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ),
% 0.72/1.16 'incident_c'( 'ax0_sk5'( Z, Y, X ), Z ), meet( X, Y, Z ) ] )
% 0.72/1.16 , clause( 1297, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), ~(
% 0.72/1.16 'end_point'( 'ax0_sk5'( Z, Y, X ), Y ) ), ~( 'end_point'( 'ax0_sk5'( Z, Y
% 0.72/1.16 , X ), Z ) ), meet( X, Y, Z ) ] )
% 0.72/1.16 , clause( 1298, [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ] )
% 0.72/1.16 , clause( 1299, [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ] )
% 0.72/1.16 , clause( 1300, [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ] )
% 0.72/1.16 , clause( 1301, [ ~( 'end_point'( X, Y ) ), open( Y ) ] )
% 0.72/1.16 , clause( 1302, [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ] )
% 0.72/1.16 , clause( 1303, [ ~( 'part_of'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~(
% 0.72/1.16 'part_of'( T, Y ) ), ~( 'end_point'( U, X ) ), ~( 'end_point'( U, Z ) ),
% 0.72/1.16 ~( 'end_point'( U, T ) ), 'part_of'( Z, T ), 'part_of'( T, Z ), 'part_of'(
% 0.72/1.16 X, Z ), 'part_of'( Z, X ), 'part_of'( X, T ), 'part_of'( T, X ) ] )
% 0.72/1.16 , clause( 1304, [ 'inner_point'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.16 , clause( 1305, [ ~( 'inner_point'( X, Y ) ), meet( X, 'ax0_sk9'( X, Y ),
% 0.72/1.16 'ax0_sk10'( X, Y ) ) ] )
% 0.72/1.16 , clause( 1306, [ ~( 'inner_point'( X, Y ) ), =( Y, sum( 'ax0_sk9'( X, Y )
% 0.72/1.16 , 'ax0_sk10'( X, Y ) ) ) ] )
% 0.72/1.16 , clause( 1307, [ ~( 'end_point'( X, Y ) ), ~( 'end_point'( Z, Y ) ), ~(
% 0.72/1.16 'end_point'( T, Y ) ), =( X, Z ), =( X, T ), =( Z, T ) ] )
% 0.72/1.16 , clause( 1308, [ ~( 'end_point'( X, Y ) ), 'end_point'( 'ax0_sk11'( X, Y )
% 0.72/1.16 , Y ) ] )
% 0.72/1.16 , clause( 1309, [ ~( 'end_point'( X, Y ) ), ~( =( X, 'ax0_sk11'( X, Y ) ) )
% 0.72/1.16 ] )
% 0.72/1.16 , clause( 1310, [ ~( closed( X ) ), ~( meet( Y, Z, T ) ), ~( =( X, sum( Z,
% 0.72/1.16 T ) ) ), ~( 'end_point'( U, Z ) ), meet( U, Z, T ) ] )
% 0.72/1.16 , clause( 1311, [ ~( meet( X, Y, Z ) ), =( 'ax0_sk12'( Z, Y ), sum( Y, Z )
% 0.72/1.16 ) ] )
% 0.72/1.16 , clause( 1312, [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), 'incident_c'(
% 0.72/1.16 'ax0_sk13'( X, Y ), X ), =( Y, X ) ] )
% 0.72/1.16 , clause( 1313, [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), ~( 'incident_c'(
% 0.72/1.16 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ] )
% 0.72/1.16 , clause( 1314, [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), 'incident_c'(
% 0.72/1.16 'ax0_sk13'( X, Y ), X ), =( Y, X ) ] )
% 0.72/1.16 , clause( 1315, [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), ~(
% 0.72/1.16 'incident_c'( 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ] )
% 0.72/1.16 , clause( 1316, [ 'part_of'( sk14, sk15 ) ] )
% 0.72/1.16 , clause( 1317, [ meet( sk16, sk14, sk15 ) ] )
% 0.72/1.16 ] ).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 subsumption(
% 0.72/1.16 clause( 0, [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ),
% 0.72/1.16 'incident_c'( Z, Y ) ] )
% 0.72/1.16 , clause( 1268, [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ),
% 0.72/1.16 'incident_c'( Z, Y ) ] )
% 0.72/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 subsumption(
% 0.72/1.16 clause( 17, [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.72/1.16 , clause( 1288, [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.72/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.16 ), ==>( 1, 1 )] ) ).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 subsumption(
% 0.72/1.16 clause( 18, [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ] )
% 0.72/1.16 , clause( 1289, [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ] )
% 0.72/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.16 ), ==>( 1, 1 )] ) ).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 subsumption(
% 0.72/1.16 clause( 22, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 0.72/1.16 'incident_c'( T, Z ) ), 'end_point'( T, Y ) ] )
% 0.72/1.16 , clause( 1293, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 0.72/1.16 'incident_c'( T, Z ) ), 'end_point'( T, Y ) ] )
% 0.72/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.72/1.17 ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 33, [ 'inner_point'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.17 , clause( 1304, [ 'inner_point'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 43, [ 'part_of'( sk14, sk15 ) ] )
% 0.72/1.17 , clause( 1316, [ 'part_of'( sk14, sk15 ) ] )
% 0.72/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 44, [ meet( sk16, sk14, sk15 ) ] )
% 0.72/1.17 , clause( 1317, [ meet( sk16, sk14, sk15 ) ] )
% 0.72/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 resolution(
% 0.72/1.17 clause( 1580, [ ~( 'incident_c'( X, sk14 ) ), 'incident_c'( X, sk15 ) ] )
% 0.72/1.17 , clause( 0, [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ),
% 0.72/1.17 'incident_c'( Z, Y ) ] )
% 0.72/1.17 , 0, clause( 43, [ 'part_of'( sk14, sk15 ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, sk14 ), :=( Y, sk15 ), :=( Z, X )] ),
% 0.72/1.17 substitution( 1, [] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 66, [ ~( 'incident_c'( X, sk14 ) ), 'incident_c'( X, sk15 ) ] )
% 0.72/1.17 , clause( 1580, [ ~( 'incident_c'( X, sk14 ) ), 'incident_c'( X, sk15 ) ]
% 0.72/1.17 )
% 0.72/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.17 1 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 resolution(
% 0.72/1.17 clause( 1581, [ ~( 'end_point'( 'ax0_sk8'( X ), X ) ) ] )
% 0.72/1.17 , clause( 18, [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ] )
% 0.72/1.17 , 0, clause( 33, [ 'inner_point'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, 'ax0_sk8'( X ) ), :=( Y, X )] ),
% 0.72/1.17 substitution( 1, [ :=( X, X )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 67, [ ~( 'end_point'( 'ax0_sk8'( X ), X ) ) ] )
% 0.72/1.17 , clause( 1581, [ ~( 'end_point'( 'ax0_sk8'( X ), X ) ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 resolution(
% 0.72/1.17 clause( 1582, [ 'incident_c'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.17 , clause( 17, [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.72/1.17 , 0, clause( 33, [ 'inner_point'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, 'ax0_sk8'( X ) ), :=( Y, X )] ),
% 0.72/1.17 substitution( 1, [ :=( X, X )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 69, [ 'incident_c'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.17 , clause( 1582, [ 'incident_c'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 resolution(
% 0.72/1.17 clause( 1583, [ ~( 'incident_c'( X, sk14 ) ), ~( 'incident_c'( X, sk15 ) )
% 0.72/1.17 , 'end_point'( X, sk14 ) ] )
% 0.72/1.17 , clause( 22, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 0.72/1.17 'incident_c'( T, Z ) ), 'end_point'( T, Y ) ] )
% 0.72/1.17 , 0, clause( 44, [ meet( sk16, sk14, sk15 ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, sk16 ), :=( Y, sk14 ), :=( Z, sk15 ), :=( T
% 0.72/1.17 , X )] ), substitution( 1, [] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 resolution(
% 0.72/1.17 clause( 1584, [ ~( 'incident_c'( X, sk14 ) ), 'end_point'( X, sk14 ), ~(
% 0.72/1.17 'incident_c'( X, sk14 ) ) ] )
% 0.72/1.17 , clause( 1583, [ ~( 'incident_c'( X, sk14 ) ), ~( 'incident_c'( X, sk15 )
% 0.72/1.17 ), 'end_point'( X, sk14 ) ] )
% 0.72/1.17 , 1, clause( 66, [ ~( 'incident_c'( X, sk14 ) ), 'incident_c'( X, sk15 ) ]
% 0.72/1.17 )
% 0.72/1.17 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.17 ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 factor(
% 0.72/1.17 clause( 1585, [ ~( 'incident_c'( X, sk14 ) ), 'end_point'( X, sk14 ) ] )
% 0.72/1.17 , clause( 1584, [ ~( 'incident_c'( X, sk14 ) ), 'end_point'( X, sk14 ), ~(
% 0.72/1.17 'incident_c'( X, sk14 ) ) ] )
% 0.72/1.17 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 1219, [ ~( 'incident_c'( X, sk14 ) ), 'end_point'( X, sk14 ) ] )
% 0.72/1.17 , clause( 1585, [ ~( 'incident_c'( X, sk14 ) ), 'end_point'( X, sk14 ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.17 1 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 resolution(
% 0.72/1.17 clause( 1586, [ 'end_point'( 'ax0_sk8'( sk14 ), sk14 ) ] )
% 0.72/1.17 , clause( 1219, [ ~( 'incident_c'( X, sk14 ) ), 'end_point'( X, sk14 ) ] )
% 0.72/1.17 , 0, clause( 69, [ 'incident_c'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, 'ax0_sk8'( sk14 ) )] ), substitution( 1, [
% 0.72/1.17 :=( X, sk14 )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 resolution(
% 0.72/1.17 clause( 1587, [] )
% 0.72/1.17 , clause( 67, [ ~( 'end_point'( 'ax0_sk8'( X ), X ) ) ] )
% 0.72/1.17 , 0, clause( 1586, [ 'end_point'( 'ax0_sk8'( sk14 ), sk14 ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, sk14 )] ), substitution( 1, [] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 1266, [] )
% 0.72/1.17 , clause( 1587, [] )
% 0.72/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 end.
% 0.72/1.17
% 0.72/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.17
% 0.72/1.17 Memory use:
% 0.72/1.17
% 0.72/1.17 space for terms: 22065
% 0.72/1.17 space for clauses: 61872
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 clauses generated: 3149
% 0.72/1.17 clauses kept: 1267
% 0.72/1.17 clauses selected: 94
% 0.72/1.17 clauses deleted: 0
% 0.72/1.17 clauses inuse deleted: 0
% 0.72/1.17
% 0.72/1.17 subsentry: 6451
% 0.72/1.17 literals s-matched: 4615
% 0.72/1.17 literals matched: 4206
% 0.72/1.17 full subsumption: 1699
% 0.72/1.17
% 0.72/1.17 checksum: 2074915513
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 Bliksem ended
%------------------------------------------------------------------------------