TSTP Solution File: GEO086-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO086-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Sat Jul 16 02:51:30 EDT 2022
% Result : Unsatisfiable 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO086-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jun 17 23:13:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13 [
% 0.72/1.13 [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ), 'incident_c'( Z, Y
% 0.72/1.13 ) ],
% 0.72/1.13 [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ],
% 0.72/1.13 [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X, Y ) ],
% 0.72/1.13 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, X ) ), 'incident_c'( T,
% 0.72/1.13 Y ), 'incident_c'( T, Z ) ],
% 0.72/1.13 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Y ) ), 'incident_c'( T,
% 0.72/1.13 X ) ],
% 0.72/1.13 [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Z ) ), 'incident_c'( T,
% 0.72/1.13 X ) ],
% 0.72/1.13 [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), 'incident_c'( 'ax0_sk2'( X, Y
% 0.72/1.13 , Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X ) )
% 0.72/1.13 ],
% 0.72/1.13 [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), ~( 'incident_c'( 'ax0_sk2'( X
% 0.72/1.13 , Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.72/1.13 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), 'incident_c'( 'ax0_sk2'(
% 0.72/1.13 X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X
% 0.72/1.13 ) ) ],
% 0.72/1.13 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), 'incident_c'( 'ax0_sk2'(
% 0.72/1.13 X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z, sum( Y, X
% 0.72/1.13 ) ) ],
% 0.72/1.13 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), ~( 'incident_c'(
% 0.72/1.13 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.72/1.13 [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), ~( 'incident_c'(
% 0.72/1.13 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ],
% 0.72/1.13 [ ~( 'end_point'( X, Y ) ), 'incident_c'( X, Y ) ],
% 0.72/1.13 [ ~( 'end_point'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 'part_of'( T, Y )
% 0.72/1.13 ), ~( 'incident_c'( X, Z ) ), ~( 'incident_c'( X, T ) ), 'part_of'( Z, T
% 0.72/1.13 ), 'part_of'( T, Z ) ],
% 0.72/1.13 [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk3'( Y, X ), Y ),
% 0.72/1.13 'end_point'( X, Y ) ],
% 0.72/1.13 [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk4'( Y, X ), Y ),
% 0.72/1.13 'end_point'( X, Y ) ],
% 0.72/1.13 [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk3'( Y, X ) ),
% 0.72/1.13 'end_point'( X, Y ) ],
% 0.72/1.13 [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk4'( Y, X ) ),
% 0.72/1.13 'end_point'( X, Y ) ],
% 0.72/1.13 [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk3'( Y, X ), 'ax0_sk4'(
% 0.72/1.13 Y, X ) ) ), 'end_point'( X, Y ) ],
% 0.72/1.13 [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk4'( Y, X ), 'ax0_sk3'(
% 0.72/1.13 Y, X ) ) ), 'end_point'( X, Y ) ],
% 0.72/1.13 [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ],
% 0.72/1.13 [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ],
% 0.72/1.13 [ ~( 'incident_c'( X, Y ) ), 'end_point'( X, Y ), 'inner_point'( X, Y )
% 0.72/1.13 ],
% 0.72/1.13 [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Y ) ],
% 0.72/1.13 [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Z ) ],
% 0.72/1.13 [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 'incident_c'( T, Z
% 0.72/1.13 ) ), 'end_point'( T, Y ) ],
% 0.72/1.13 [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~( 'incident_c'( T, Z
% 0.72/1.13 ) ), 'end_point'( T, Z ) ],
% 0.72/1.13 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 'incident_c'(
% 0.72/1.13 'ax0_sk5'( Z, Y, X ), Y ), meet( X, Y, Z ) ],
% 0.72/1.13 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), 'incident_c'(
% 0.72/1.13 'ax0_sk5'( Z, Y, X ), Z ), meet( X, Y, Z ) ],
% 0.72/1.13 [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 'end_point'(
% 0.72/1.13 'ax0_sk5'( Z, Y, X ), Y ) ), ~( 'end_point'( 'ax0_sk5'( Z, Y, X ), Z ) )
% 0.72/1.13 , meet( X, Y, Z ) ],
% 0.72/1.13 [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ],
% 0.72/1.13 [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ],
% 0.72/1.13 [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ],
% 0.72/1.13 [ ~( 'end_point'( X, Y ) ), open( Y ) ],
% 0.72/1.13 [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ],
% 0.72/1.13 [ ~( 'part_of'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~( 'part_of'( T, Y ) )
% 0.72/1.13 , ~( 'end_point'( U, X ) ), ~( 'end_point'( U, Z ) ), ~( 'end_point'( U,
% 0.72/1.13 T ) ), 'part_of'( Z, T ), 'part_of'( T, Z ), 'part_of'( X, Z ), 'part_of'(
% 0.72/1.13 Z, X ), 'part_of'( X, T ), 'part_of'( T, X ) ],
% 0.72/1.13 [ 'inner_point'( 'ax0_sk8'( X ), X ) ],
% 0.72/1.13 [ ~( 'inner_point'( X, Y ) ), meet( X, 'ax0_sk9'( X, Y ), 'ax0_sk10'( X
% 0.72/1.13 , Y ) ) ],
% 0.72/1.13 [ ~( 'inner_point'( X, Y ) ), =( Y, sum( 'ax0_sk9'( X, Y ), 'ax0_sk10'(
% 0.72/1.13 X, Y ) ) ) ],
% 0.72/1.13 [ ~( 'end_point'( X, Y ) ), ~( 'end_point'( Z, Y ) ), ~( 'end_point'( T
% 0.72/1.13 , Y ) ), =( X, Z ), =( X, T ), =( Z, T ) ],
% 0.72/1.13 [ ~( 'end_point'( X, Y ) ), 'end_point'( 'ax0_sk11'( X, Y ), Y ) ],
% 0.72/1.13 [ ~( 'end_point'( X, Y ) ), ~( =( X, 'ax0_sk11'( X, Y ) ) ) ],
% 0.72/1.13 [ ~( closed( X ) ), ~( meet( Y, Z, T ) ), ~( =( X, sum( Z, T ) ) ), ~(
% 0.72/1.13 'end_point'( U, Z ) ), meet( U, Z, T ) ],
% 0.72/1.13 [ ~( meet( X, Y, Z ) ), =( 'ax0_sk12'( Z, Y ), sum( Y, Z ) ) ],
% 0.72/1.13 [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), 'incident_c'( 'ax0_sk13'( X, Y
% 0.72/1.13 ), X ), =( Y, X ) ],
% 0.72/1.13 [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), ~( 'incident_c'( 'ax0_sk13'( X
% 0.72/1.13 , Y ), Y ) ), =( Y, X ) ],
% 0.72/1.13 [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), 'incident_c'( 'ax0_sk13'(
% 0.72/1.13 X, Y ), X ), =( Y, X ) ],
% 0.72/1.13 [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), ~( 'incident_c'(
% 0.72/1.13 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ],
% 0.72/1.13 [ open( sk14 ) ],
% 0.72/1.13 [ 'part_of'( sk15, sk14 ) ],
% 0.72/1.13 [ ~( open( sk15 ) ) ]
% 0.72/1.13 ] .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 percentage equality = 0.114286, percentage horn = 0.652174
% 0.72/1.13 This is a problem with some equality
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 1
% 0.72/1.13 useeqrefl = 1
% 0.72/1.13 useeqfact = 1
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 5
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = eqrewr
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.13
% 0.72/1.13 termordering = kbo
% 0.72/1.13
% 0.72/1.13 litapriori = 0
% 0.72/1.13 termapriori = 1
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negord
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 1
% 0.72/1.13 increasemaxweight = 1
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 1
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 'part_of' [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.13 'incident_c' [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk1' [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.13 sum [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk2' [47, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.13 'end_point' [48, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk3' [49, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk4' [50, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.13 'inner_point' [51, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.13 meet [52, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk5' [53, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.72/1.13 closed [54, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk6' [55, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.13 open [56, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk7' [57, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk8' [59, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk9' [60, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk10' [61, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk11' [62, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk12' [63, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.13 'ax0_sk13' [64, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.13 sk14 [65, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.72/1.13 sk15 [66, 0] (w:1, o:6, a:1, s:1, b:0).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 clause( 27, [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 28, [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 29, [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 30, [ ~( 'end_point'( X, Y ) ), open( Y ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 31, [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 43, [ open( sk14 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 44, [ 'part_of'( sk15, sk14 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 45, [ ~( open( sk15 ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 66, [ ~( 'end_point'( X, sk15 ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 92, [ ~( open( X ) ), ~( closed( X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 142, [ ~( closed( sk14 ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 307, [ closed( sk15 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 1377, [ =( sk15, sk14 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 1651, [] )
% 0.72/1.13 .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 initialclauses(
% 0.72/1.13 [ clause( 1653, [ ~( 'part_of'( X, Y ) ), ~( 'incident_c'( Z, X ) ),
% 0.72/1.13 'incident_c'( Z, Y ) ] )
% 0.72/1.13 , clause( 1654, [ 'incident_c'( 'ax0_sk1'( X, Y ), X ), 'part_of'( X, Y ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 1655, [ ~( 'incident_c'( 'ax0_sk1'( X, Y ), Y ) ), 'part_of'( X,
% 0.72/1.13 Y ) ] )
% 0.72/1.13 , clause( 1656, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, X ) ),
% 0.72/1.13 'incident_c'( T, Y ), 'incident_c'( T, Z ) ] )
% 0.72/1.13 , clause( 1657, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Y ) ),
% 0.72/1.13 'incident_c'( T, X ) ] )
% 0.72/1.13 , clause( 1658, [ ~( =( X, sum( Y, Z ) ) ), ~( 'incident_c'( T, Z ) ),
% 0.72/1.13 'incident_c'( T, X ) ] )
% 0.72/1.13 , clause( 1659, [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), 'incident_c'(
% 0.72/1.13 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ), =( Z
% 0.72/1.13 , sum( Y, X ) ) ] )
% 0.72/1.13 , clause( 1660, [ 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ), ~( 'incident_c'(
% 0.72/1.13 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.72/1.13 , clause( 1661, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ),
% 0.72/1.13 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z
% 0.72/1.13 ), X ), =( Z, sum( Y, X ) ) ] )
% 0.72/1.13 , clause( 1662, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ),
% 0.72/1.13 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ), 'incident_c'( 'ax0_sk2'( X, Y, Z
% 0.72/1.13 ), X ), =( Z, sum( Y, X ) ) ] )
% 0.72/1.13 , clause( 1663, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), Y ) ), ~(
% 0.72/1.13 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.72/1.13 , clause( 1664, [ ~( 'incident_c'( 'ax0_sk2'( X, Y, Z ), X ) ), ~(
% 0.72/1.13 'incident_c'( 'ax0_sk2'( X, Y, Z ), Z ) ), =( Z, sum( Y, X ) ) ] )
% 0.72/1.13 , clause( 1665, [ ~( 'end_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.72/1.13 , clause( 1666, [ ~( 'end_point'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~(
% 0.72/1.13 'part_of'( T, Y ) ), ~( 'incident_c'( X, Z ) ), ~( 'incident_c'( X, T ) )
% 0.72/1.13 , 'part_of'( Z, T ), 'part_of'( T, Z ) ] )
% 0.72/1.13 , clause( 1667, [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk3'( Y, X ),
% 0.72/1.13 Y ), 'end_point'( X, Y ) ] )
% 0.72/1.13 , clause( 1668, [ ~( 'incident_c'( X, Y ) ), 'part_of'( 'ax0_sk4'( Y, X ),
% 0.72/1.13 Y ), 'end_point'( X, Y ) ] )
% 0.72/1.13 , clause( 1669, [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk3'( Y
% 0.72/1.13 , X ) ), 'end_point'( X, Y ) ] )
% 0.72/1.13 , clause( 1670, [ ~( 'incident_c'( X, Y ) ), 'incident_c'( X, 'ax0_sk4'( Y
% 0.72/1.13 , X ) ), 'end_point'( X, Y ) ] )
% 0.72/1.13 , clause( 1671, [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk3'( Y, X
% 0.72/1.13 ), 'ax0_sk4'( Y, X ) ) ), 'end_point'( X, Y ) ] )
% 0.72/1.13 , clause( 1672, [ ~( 'incident_c'( X, Y ) ), ~( 'part_of'( 'ax0_sk4'( Y, X
% 0.72/1.13 ), 'ax0_sk3'( Y, X ) ) ), 'end_point'( X, Y ) ] )
% 0.72/1.13 , clause( 1673, [ ~( 'inner_point'( X, Y ) ), 'incident_c'( X, Y ) ] )
% 0.72/1.13 , clause( 1674, [ ~( 'inner_point'( X, Y ) ), ~( 'end_point'( X, Y ) ) ] )
% 0.72/1.13 , clause( 1675, [ ~( 'incident_c'( X, Y ) ), 'end_point'( X, Y ),
% 0.72/1.13 'inner_point'( X, Y ) ] )
% 0.72/1.13 , clause( 1676, [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Y ) ] )
% 0.72/1.13 , clause( 1677, [ ~( meet( X, Y, Z ) ), 'incident_c'( X, Z ) ] )
% 0.72/1.13 , clause( 1678, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 0.72/1.13 'incident_c'( T, Z ) ), 'end_point'( T, Y ) ] )
% 0.72/1.13 , clause( 1679, [ ~( meet( X, Y, Z ) ), ~( 'incident_c'( T, Y ) ), ~(
% 0.72/1.13 'incident_c'( T, Z ) ), 'end_point'( T, Z ) ] )
% 0.72/1.13 , clause( 1680, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ),
% 0.72/1.13 'incident_c'( 'ax0_sk5'( Z, Y, X ), Y ), meet( X, Y, Z ) ] )
% 0.72/1.13 , clause( 1681, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ),
% 0.72/1.13 'incident_c'( 'ax0_sk5'( Z, Y, X ), Z ), meet( X, Y, Z ) ] )
% 0.72/1.13 , clause( 1682, [ ~( 'incident_c'( X, Y ) ), ~( 'incident_c'( X, Z ) ), ~(
% 0.72/1.13 'end_point'( 'ax0_sk5'( Z, Y, X ), Y ) ), ~( 'end_point'( 'ax0_sk5'( Z, Y
% 0.72/1.13 , X ), Z ) ), meet( X, Y, Z ) ] )
% 0.72/1.13 , clause( 1683, [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ] )
% 0.72/1.13 , clause( 1684, [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ] )
% 0.72/1.13 , clause( 1685, [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ] )
% 0.72/1.13 , clause( 1686, [ ~( 'end_point'( X, Y ) ), open( Y ) ] )
% 0.72/1.13 , clause( 1687, [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ] )
% 0.72/1.13 , clause( 1688, [ ~( 'part_of'( X, Y ) ), ~( 'part_of'( Z, Y ) ), ~(
% 0.72/1.13 'part_of'( T, Y ) ), ~( 'end_point'( U, X ) ), ~( 'end_point'( U, Z ) ),
% 0.72/1.13 ~( 'end_point'( U, T ) ), 'part_of'( Z, T ), 'part_of'( T, Z ), 'part_of'(
% 0.72/1.13 X, Z ), 'part_of'( Z, X ), 'part_of'( X, T ), 'part_of'( T, X ) ] )
% 0.72/1.13 , clause( 1689, [ 'inner_point'( 'ax0_sk8'( X ), X ) ] )
% 0.72/1.13 , clause( 1690, [ ~( 'inner_point'( X, Y ) ), meet( X, 'ax0_sk9'( X, Y ),
% 0.72/1.13 'ax0_sk10'( X, Y ) ) ] )
% 0.72/1.13 , clause( 1691, [ ~( 'inner_point'( X, Y ) ), =( Y, sum( 'ax0_sk9'( X, Y )
% 0.72/1.13 , 'ax0_sk10'( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 1692, [ ~( 'end_point'( X, Y ) ), ~( 'end_point'( Z, Y ) ), ~(
% 0.72/1.13 'end_point'( T, Y ) ), =( X, Z ), =( X, T ), =( Z, T ) ] )
% 0.72/1.13 , clause( 1693, [ ~( 'end_point'( X, Y ) ), 'end_point'( 'ax0_sk11'( X, Y )
% 0.72/1.13 , Y ) ] )
% 0.72/1.13 , clause( 1694, [ ~( 'end_point'( X, Y ) ), ~( =( X, 'ax0_sk11'( X, Y ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 1695, [ ~( closed( X ) ), ~( meet( Y, Z, T ) ), ~( =( X, sum( Z,
% 0.72/1.13 T ) ) ), ~( 'end_point'( U, Z ) ), meet( U, Z, T ) ] )
% 0.72/1.13 , clause( 1696, [ ~( meet( X, Y, Z ) ), =( 'ax0_sk12'( Z, Y ), sum( Y, Z )
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 1697, [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), 'incident_c'(
% 0.72/1.13 'ax0_sk13'( X, Y ), X ), =( Y, X ) ] )
% 0.72/1.13 , clause( 1698, [ 'incident_c'( 'ax0_sk13'( X, Y ), Y ), ~( 'incident_c'(
% 0.72/1.13 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ] )
% 0.72/1.13 , clause( 1699, [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), 'incident_c'(
% 0.72/1.13 'ax0_sk13'( X, Y ), X ), =( Y, X ) ] )
% 0.72/1.13 , clause( 1700, [ ~( 'incident_c'( 'ax0_sk13'( X, Y ), X ) ), ~(
% 0.72/1.13 'incident_c'( 'ax0_sk13'( X, Y ), Y ) ), =( Y, X ) ] )
% 0.72/1.13 , clause( 1701, [ open( sk14 ) ] )
% 0.72/1.13 , clause( 1702, [ 'part_of'( sk15, sk14 ) ] )
% 0.72/1.13 , clause( 1703, [ ~( open( sk15 ) ) ] )
% 0.72/1.13 ] ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 27, [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ] )
% 0.72/1.13 , clause( 1683, [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 ), ==>( 1, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 28, [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ] )
% 0.72/1.13 , clause( 1684, [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.13 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 29, [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ] )
% 0.72/1.13 , clause( 1685, [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.13 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 30, [ ~( 'end_point'( X, Y ) ), open( Y ) ] )
% 0.72/1.13 , clause( 1686, [ ~( 'end_point'( X, Y ) ), open( Y ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 ), ==>( 1, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 31, [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ] )
% 0.72/1.13 , clause( 1687, [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 43, [ open( sk14 ) ] )
% 0.72/1.13 , clause( 1701, [ open( sk14 ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 44, [ 'part_of'( sk15, sk14 ) ] )
% 0.72/1.13 , clause( 1702, [ 'part_of'( sk15, sk14 ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 45, [ ~( open( sk15 ) ) ] )
% 0.72/1.13 , clause( 1703, [ ~( open( sk15 ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2076, [ ~( 'end_point'( X, sk15 ) ) ] )
% 0.72/1.13 , clause( 45, [ ~( open( sk15 ) ) ] )
% 0.72/1.13 , 0, clause( 30, [ ~( 'end_point'( X, Y ) ), open( Y ) ] )
% 0.72/1.13 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, sk15 )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 66, [ ~( 'end_point'( X, sk15 ) ) ] )
% 0.72/1.13 , clause( 2076, [ ~( 'end_point'( X, sk15 ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2077, [ ~( closed( X ) ), ~( open( X ) ) ] )
% 0.72/1.13 , clause( 27, [ ~( closed( X ) ), ~( 'end_point'( Y, X ) ) ] )
% 0.72/1.13 , 1, clause( 29, [ ~( open( X ) ), 'end_point'( 'ax0_sk7'( X ), X ) ] )
% 0.72/1.13 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'ax0_sk7'( X ) )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 92, [ ~( open( X ) ), ~( closed( X ) ) ] )
% 0.72/1.13 , clause( 2077, [ ~( closed( X ) ), ~( open( X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.13 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2078, [ ~( closed( sk14 ) ) ] )
% 0.72/1.13 , clause( 92, [ ~( open( X ) ), ~( closed( X ) ) ] )
% 0.72/1.13 , 0, clause( 43, [ open( sk14 ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, sk14 )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 142, [ ~( closed( sk14 ) ) ] )
% 0.72/1.13 , clause( 2078, [ ~( closed( sk14 ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2079, [ closed( sk15 ) ] )
% 0.72/1.13 , clause( 66, [ ~( 'end_point'( X, sk15 ) ) ] )
% 0.72/1.13 , 0, clause( 28, [ 'end_point'( 'ax0_sk6'( X ), X ), closed( X ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'ax0_sk6'( sk15 ) )] ), substitution( 1, [
% 0.72/1.13 :=( X, sk15 )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 307, [ closed( sk15 ) ] )
% 0.72/1.13 , clause( 2079, [ closed( sk15 ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 2080, [ =( Y, X ), ~( 'part_of'( X, Y ) ), open( X ) ] )
% 0.72/1.13 , clause( 31, [ ~( 'part_of'( X, Y ) ), =( X, Y ), open( X ) ] )
% 0.72/1.13 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2081, [ =( sk14, sk15 ), open( sk15 ) ] )
% 0.72/1.13 , clause( 2080, [ =( Y, X ), ~( 'part_of'( X, Y ) ), open( X ) ] )
% 0.72/1.13 , 1, clause( 44, [ 'part_of'( sk15, sk14 ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, sk15 ), :=( Y, sk14 )] ), substitution( 1, [] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2082, [ =( sk14, sk15 ) ] )
% 0.72/1.13 , clause( 45, [ ~( open( sk15 ) ) ] )
% 0.72/1.13 , 0, clause( 2081, [ =( sk14, sk15 ), open( sk15 ) ] )
% 0.72/1.13 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 2083, [ =( sk15, sk14 ) ] )
% 0.72/1.13 , clause( 2082, [ =( sk14, sk15 ) ] )
% 0.72/1.13 , 0, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 1377, [ =( sk15, sk14 ) ] )
% 0.72/1.13 , clause( 2083, [ =( sk15, sk14 ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 2085, [ closed( sk14 ) ] )
% 0.72/1.13 , clause( 1377, [ =( sk15, sk14 ) ] )
% 0.72/1.13 , 0, clause( 307, [ closed( sk15 ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2086, [] )
% 0.72/1.13 , clause( 142, [ ~( closed( sk14 ) ) ] )
% 0.72/1.13 , 0, clause( 2085, [ closed( sk14 ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 1651, [] )
% 0.72/1.13 , clause( 2086, [] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 end.
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 30919
% 0.72/1.13 space for clauses: 77579
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 4691
% 0.72/1.13 clauses kept: 1652
% 0.72/1.13 clauses selected: 112
% 0.72/1.13 clauses deleted: 0
% 0.72/1.13 clauses inuse deleted: 0
% 0.72/1.13
% 0.72/1.13 subsentry: 10599
% 0.72/1.13 literals s-matched: 7847
% 0.72/1.13 literals matched: 7280
% 0.72/1.13 full subsumption: 3237
% 0.72/1.13
% 0.72/1.13 checksum: -1910329871
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------