TSTP Solution File: SWV888-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV888-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Wed Jul 20 16:29:03 EDT 2022
% Result : Unsatisfiable 0.44s 1.17s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV888-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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 : Wed Jun 15 03:22:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.10 *** allocated 10000 integers for termspace/termends
% 0.44/1.10 *** allocated 10000 integers for clauses
% 0.44/1.10 *** allocated 10000 integers for justifications
% 0.44/1.10 Bliksem 1.12
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Automatic Strategy Selection
% 0.44/1.10
% 0.44/1.10 Clauses:
% 0.44/1.10 [
% 0.44/1.10 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 0.44/1.10 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ =( X, 'c_Option_Ooption_OSome'(
% 0.44/1.10 'c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1'( X, Y ), Y ) ),
% 0.44/1.10 =( X, 'c_Option_Ooption_ONone'( Y ) ) ],
% 0.44/1.10 [ =( X, 'c_Suc'( 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y
% 0.44/1.10 , X, Z, T ) ) ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( Y ), Z, X, T
% 0.44/1.10 ) ) ],
% 0.44/1.10 [ 'c_Natural_Oevalc'( X,
% 0.44/1.10 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( Y, X, Z, T ), T ),
% 0.44/1.10 ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( Y, X ), Z, T ) ) ],
% 0.44/1.10 [ 'c_Natural_Oevalc'( X, Y,
% 0.44/1.10 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( X, Z, Y, T ) ), ~(
% 0.44/1.10 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Z ), Y, T ) ) ],
% 0.44/1.10 [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 0.44/1.10 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 0.44/1.10 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.44/1.10 ],
% 0.44/1.10 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.44/1.10 ) ) ],
% 0.44/1.10 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.44/1.10 ) ) ],
% 0.44/1.10 [ 'c_Natural_Oevaln'( X, Y, 'c_Natural_Osko__Natural__Xeval__eq__1__1'(
% 0.44/1.10 X, Y, Z ), Z ), ~( 'c_Natural_Oevalc'( X, Y, Z ) ) ],
% 0.44/1.10 [ =( X, 'c_Option_Ooption_OSome'(
% 0.44/1.10 'c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1'( X, Y ), Y ) ), =( X,
% 0.44/1.10 'c_Option_Ooption_ONone'( Y ) ) ],
% 0.44/1.10 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.44/1.10 , T ) ],
% 0.44/1.10 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.44/1.10 , Z ) ],
% 0.44/1.10 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.44/1.10 ) ) ],
% 0.44/1.10 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.44/1.10 ) ) ],
% 0.44/1.10 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.44/1.10 ) ) ), =( X, Z ) ],
% 0.44/1.10 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.44/1.10 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.44/1.10 [ 'c_Natural_Oevaln'( X,
% 0.44/1.10 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( Y, X, Z, T, U ), Z
% 0.44/1.10 , U ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( Y, X ), T, Z, U ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ 'c_Natural_Oevaln'( X, Y, Z,
% 0.44/1.10 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( X, T, Z, Y, U ) ),
% 0.44/1.10 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, T ), Y, Z, U ) ) ],
% 0.44/1.10 [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 0.44/1.10 , Y, Z, T ) ) ],
% 0.44/1.10 [ =( X, 'c_Option_Ooption_ONone'( Y ) ), =( X, 'c_Option_Ooption_OSome'(
% 0.44/1.10 'c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1'( X, Y ), Y ) ) ],
% 0.44/1.10 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.44/1.10 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X ) ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.44/1.10 [ 'c_Natural_Oevaln'( X, Y,
% 0.44/1.10 'c_Natural_Osko__Natural__Xevalc__evaln__1__1'( X, Y, Z ), Z ), ~(
% 0.44/1.10 'c_Natural_Oevalc'( X, Y, Z ) ) ],
% 0.44/1.10 [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ), ~(
% 0.44/1.10 'c_Com_OWT'( X ) ) ],
% 0.44/1.10 [ ~( =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'( Y, 'tc_Com_Ocom' )
% 0.44/1.10 ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ],
% 0.44/1.10 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.44/1.10 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.44/1.10 [ =( X, 'c_Option_Ooption_OSome'(
% 0.44/1.10 'c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1'( X, Y ), Y ) ), =(
% 0.44/1.10 X, 'c_Option_Ooption_ONone'( Y ) ) ],
% 0.44/1.10 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.44/1.10 [ =( 'c_Option_Othe'( 'c_Option_Ooption_OSome'( X, Y ), Y ), X ) ],
% 0.44/1.10 [ 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ), =( 'c_Com_Obody'( X ),
% 0.44/1.10 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 0.44/1.10 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.44/1.10 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ), ~(
% 0.44/1.10 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' )
% 0.44/1.10 , Y, Z ) ) ],
% 0.44/1.17 [ 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom'
% 0.44/1.17 ), Y, Z ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ) ) ]
% 0.44/1.17 ,
% 0.44/1.17 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 0.44/1.17 Z, T, Y ) ) ],
% 0.44/1.17 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.44/1.17 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 0.44/1.17 [ 'c_Natural_Oevaln'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom'
% 0.44/1.17 ), Y, 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( X, Z, Y, T )
% 0.44/1.17 , T ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( X ), Y, Z, T ) ) ],
% 0.44/1.17 [ =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'(
% 0.44/1.17 'c_Com_Osko__Com__XWTs__elim__cases__7__1'( X ), 'tc_Com_Ocom' ) ), ~(
% 0.44/1.17 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.44/1.17 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 0.44/1.17 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.44/1.17 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 0.44/1.17 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.44/1.17 ,
% 0.44/1.17 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( X ), Y, 'c_Suc'( Z ), T ), ~(
% 0.44/1.17 'c_Natural_Oevaln'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' )
% 0.44/1.17 , Y, Z, T ) ) ],
% 0.44/1.17 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.44/1.17 ],
% 0.44/1.17 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.44/1.17 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.44/1.17 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.44/1.17 ,
% 0.44/1.17 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.44/1.17 ,
% 0.44/1.17 [ 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( 'v_pn' ),
% 0.44/1.17 'tc_Com_Ocom' ), 'v_x', 'v_xa' ) ],
% 0.44/1.17 [ ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( 'v_pn' ), 'v_x', 'v_xa' ) )
% 0.44/1.17 ]
% 0.44/1.17 ] .
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 percentage equality = 0.420455, percentage horn = 0.900000
% 0.44/1.17 This is a problem with some equality
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 Options Used:
% 0.44/1.17
% 0.44/1.17 useres = 1
% 0.44/1.17 useparamod = 1
% 0.44/1.17 useeqrefl = 1
% 0.44/1.17 useeqfact = 1
% 0.44/1.17 usefactor = 1
% 0.44/1.17 usesimpsplitting = 0
% 0.44/1.17 usesimpdemod = 5
% 0.44/1.17 usesimpres = 3
% 0.44/1.17
% 0.44/1.17 resimpinuse = 1000
% 0.44/1.17 resimpclauses = 20000
% 0.44/1.17 substype = eqrewr
% 0.44/1.17 backwardsubs = 1
% 0.44/1.17 selectoldest = 5
% 0.44/1.17
% 0.44/1.17 litorderings [0] = split
% 0.44/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.17
% 0.44/1.17 termordering = kbo
% 0.44/1.17
% 0.44/1.17 litapriori = 0
% 0.44/1.17 termapriori = 1
% 0.44/1.17 litaposteriori = 0
% 0.44/1.17 termaposteriori = 0
% 0.44/1.17 demodaposteriori = 0
% 0.44/1.17 ordereqreflfact = 0
% 0.44/1.17
% 0.44/1.17 litselect = negord
% 0.44/1.17
% 0.44/1.17 maxweight = 15
% 0.44/1.17 maxdepth = 30000
% 0.44/1.17 maxlength = 115
% 0.44/1.17 maxnrvars = 195
% 0.44/1.17 excuselevel = 1
% 0.44/1.17 increasemaxweight = 1
% 0.44/1.17
% 0.44/1.17 maxselected = 10000000
% 0.44/1.17 maxnrclauses = 10000000
% 0.44/1.17
% 0.44/1.17 showgenerated = 0
% 0.44/1.17 showkept = 0
% 0.44/1.17 showselected = 0
% 0.44/1.17 showdeleted = 0
% 0.44/1.17 showresimp = 1
% 0.44/1.17 showstatus = 2000
% 0.44/1.17
% 0.44/1.17 prologoutput = 1
% 0.44/1.17 nrgoals = 5000000
% 0.44/1.17 totalproof = 1
% 0.44/1.17
% 0.44/1.17 Symbols occurring in the translation:
% 0.44/1.17
% 0.44/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.17 . [1, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.44/1.17 ! [4, 1] (w:0, o:46, a:1, s:1, b:0),
% 0.44/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.17 'c_Fun_Oid' [41, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.44/1.17 'c_Com_Ocom_OSKIP' [44, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.44/1.17 'c_Natural_Oevaln' [46, 4] (w:1, o:93, a:1, s:1, b:0),
% 0.44/1.17 'c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1' [48, 2] (w:1
% 0.44/1.17 , o:85, a:1, s:1, b:0),
% 0.44/1.17 'c_Option_Ooption_OSome' [49, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.44/1.17 'c_Option_Ooption_ONone' [50, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.44/1.17 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1' [53, 4] (w:1, o:
% 0.44/1.17 94, a:1, s:1, b:0),
% 0.44/1.17 'c_Suc' [54, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.44/1.17 'c_Com_Ocom_OBODY' [55, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.44/1.17 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1' [58, 4] (w:1, o:
% 0.44/1.17 95, a:1, s:1, b:0),
% 0.44/1.17 'c_Natural_Oevalc' [59, 3] (w:1, o:90, a:1, s:1, b:0),
% 0.44/1.17 'c_Com_Ocom_OSemi' [60, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.44/1.17 'c_Com_OWT' [61, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.44/1.17 'c_Natural_Osko__Natural__Xeval__eq__1__1' [68, 3] (w:1, o:91, a:1
% 0.44/1.17 , s:1, b:0),
% 0.44/1.17 'c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1' [69, 2] (w:1, o:83
% 0.44/1.17 , a:1, s:1, b:0),
% 0.44/1.17 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1' [78, 5] (w:1, o:
% 0.44/1.17 96, a:1, s:1, b:0),
% 0.44/1.17 'c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1' [80, 2] (w:1, o:84
% 0.44/1.17 , a:1, s:1, b:0),
% 0.44/1.17 'c_Natural_Osko__Natural__Xevalc__evaln__1__1' [81, 3] (w:1, o:92, a:
% 0.44/1.17 1, s:1, b:0),
% 0.44/1.17 'c_Com_Obody' [83, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.44/1.17 'tc_Com_Ocom' [85, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.44/1.17 'c_Com_OWT__bodies' [86, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.44/1.17 'c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1' [87, 2] (w:1
% 0.44/1.17 , o:88, a:1, s:1, b:0),
% 0.44/1.17 'c_Option_Othe' [88, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.44/1.17 'v_x' [91, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.44/1.17 't_a' [92, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.44/1.17 'c_Com_Osko__Com__XWTs__elim__cases__7__1' [93, 1] (w:1, o:56, a:1
% 0.44/1.17 , s:1, b:0),
% 0.44/1.17 'v_pn' [95, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.44/1.17 'v_xa' [96, 0] (w:1, o:45, a:1, s:1, b:0).
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 Starting Search:
% 0.44/1.17
% 0.44/1.17 Resimplifying inuse:
% 0.44/1.17 Done
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 Intermediate Status:
% 0.44/1.17 Generated: 5379
% 0.44/1.17 Kept: 2009
% 0.44/1.17 Inuse: 83
% 0.44/1.17 Deleted: 1
% 0.44/1.17 Deletedinuse: 1
% 0.44/1.17
% 0.44/1.17 Resimplifying inuse:
% 0.44/1.17 Done
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 Bliksems!, er is een bewijs:
% 0.44/1.17 % SZS status Unsatisfiable
% 0.44/1.17 % SZS output start Refutation
% 0.44/1.17
% 0.44/1.17 clause( 31, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ), ~(
% 0.44/1.17 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' )
% 0.44/1.17 , Y, Z ) ) ] )
% 0.44/1.17 .
% 0.44/1.17 clause( 43, [ 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( 'v_pn' )
% 0.44/1.17 , 'tc_Com_Ocom' ), 'v_x', 'v_xa' ) ] )
% 0.44/1.17 .
% 0.44/1.17 clause( 44, [ ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( 'v_pn' ), 'v_x',
% 0.44/1.17 'v_xa' ) ) ] )
% 0.44/1.17 .
% 0.44/1.17 clause( 2959, [] )
% 0.44/1.17 .
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 % SZS output end Refutation
% 0.44/1.17 found a proof!
% 0.44/1.17
% 0.44/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.17
% 0.44/1.17 initialclauses(
% 0.44/1.17 [ clause( 2961, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 0.44/1.17 , clause( 2962, [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y,
% 0.44/1.17 Z, X ) ) ] )
% 0.44/1.17 , clause( 2963, [ =( X, 'c_Option_Ooption_OSome'(
% 0.44/1.17 'c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1'( X, Y ), Y ) ),
% 0.44/1.17 =( X, 'c_Option_Ooption_ONone'( Y ) ) ] )
% 0.44/1.17 , clause( 2964, [ =( X, 'c_Suc'(
% 0.44/1.17 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y, X, Z, T ) ) ),
% 0.44/1.17 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( Y ), Z, X, T ) ) ] )
% 0.44/1.17 , clause( 2965, [ 'c_Natural_Oevalc'( X,
% 0.44/1.17 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( Y, X, Z, T ), T ),
% 0.44/1.17 ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( Y, X ), Z, T ) ) ] )
% 0.44/1.17 , clause( 2966, [ 'c_Natural_Oevalc'( X, Y,
% 0.44/1.17 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( X, Z, Y, T ) ), ~(
% 0.44/1.17 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Z ), Y, T ) ) ] )
% 0.44/1.17 , clause( 2967, [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ] )
% 0.44/1.17 , clause( 2968, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U )
% 0.44/1.17 , ~( 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T,
% 0.44/1.17 W ) ) ] )
% 0.44/1.17 , clause( 2969, [ ~( =( 'c_Option_Ooption_ONone'( X ),
% 0.44/1.17 'c_Option_Ooption_OSome'( Y, X ) ) ) ] )
% 0.44/1.17 , clause( 2970, [ ~( =( 'c_Option_Ooption_ONone'( X ),
% 0.44/1.17 'c_Option_Ooption_OSome'( Y, X ) ) ) ] )
% 0.44/1.17 , clause( 2971, [ 'c_Natural_Oevaln'( X, Y,
% 0.44/1.17 'c_Natural_Osko__Natural__Xeval__eq__1__1'( X, Y, Z ), Z ), ~(
% 0.44/1.17 'c_Natural_Oevalc'( X, Y, Z ) ) ] )
% 0.44/1.17 , clause( 2972, [ =( X, 'c_Option_Ooption_OSome'(
% 0.44/1.17 'c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1'( X, Y ), Y ) ), =( X,
% 0.44/1.17 'c_Option_Ooption_ONone'( Y ) ) ] )
% 0.44/1.17 , clause( 2973, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z,
% 0.44/1.17 T ) ) ), =( Y, T ) ] )
% 0.44/1.17 , clause( 2974, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z,
% 0.44/1.17 T ) ) ), =( X, Z ) ] )
% 0.44/1.17 , clause( 2975, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ),
% 0.44/1.17 'c_Option_Ooption_ONone'( Y ) ) ) ] )
% 0.44/1.17 , clause( 2976, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ),
% 0.44/1.17 'c_Option_Ooption_ONone'( Y ) ) ) ] )
% 0.44/1.17 , clause( 2977, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ),
% 0.44/1.17 'c_Option_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 0.44/1.17 , clause( 2978, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.44/1.17 , clause( 2979, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.44/1.17 , clause( 2980, [ 'c_Natural_Oevaln'( X,
% 0.44/1.17 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( Y, X, Z, T, U ), Z
% 0.44/1.17 , U ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( Y, X ), T, Z, U ) ) ]
% 0.44/1.17 )
% 0.44/1.17 , clause( 2981, [ 'c_Natural_Oevaln'( X, Y, Z,
% 0.44/1.17 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( X, T, Z, Y, U ) ),
% 0.44/1.17 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, T ), Y, Z, U ) ) ] )
% 0.44/1.17 , clause( 2982, [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~(
% 0.44/1.17 'c_Natural_Oevaln'( X, Y, Z, T ) ) ] )
% 0.44/1.17 , clause( 2983, [ =( X, 'c_Option_Ooption_ONone'( Y ) ), =( X,
% 0.44/1.17 'c_Option_Ooption_OSome'(
% 0.44/1.17 'c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1'( X, Y ), Y ) ) ] )
% 0.44/1.17 , clause( 2984, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ] )
% 0.44/1.17 , clause( 2985, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y,
% 0.44/1.17 X ) ) ) ] )
% 0.44/1.17 , clause( 2986, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X,
% 0.44/1.17 Y ) ) ) ] )
% 0.44/1.17 , clause( 2987, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) )
% 0.44/1.17 ] )
% 0.44/1.17 , clause( 2988, [ 'c_Natural_Oevaln'( X, Y,
% 0.44/1.17 'c_Natural_Osko__Natural__Xevalc__evaln__1__1'( X, Y, Z ), Z ), ~(
% 0.44/1.17 'c_Natural_Oevalc'( X, Y, Z ) ) ] )
% 0.44/1.17 , clause( 2989, [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'(
% 0.44/1.17 Y ) ), ~( 'c_Com_OWT'( X ) ) ] )
% 0.44/1.17 , clause( 2990, [ ~( =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'( Y,
% 0.44/1.17 'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ] )
% 0.44/1.17 , clause( 2991, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 0.44/1.17 , clause( 2992, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 0.44/1.17 , clause( 2993, [ =( X, 'c_Option_Ooption_OSome'(
% 0.44/1.17 'c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1'( X, Y ), Y ) ), =(
% 0.44/1.17 X, 'c_Option_Ooption_ONone'( Y ) ) ] )
% 0.44/1.17 , clause( 2994, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) )
% 0.44/1.17 ] )
% 0.44/1.17 , clause( 2995, [ =( 'c_Option_Othe'( 'c_Option_Ooption_OSome'( X, Y ), Y )
% 0.44/1.17 , X ) ] )
% 0.44/1.17 , clause( 2996, [ 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ), =( 'c_Com_Obody'(
% 0.44/1.17 X ), 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ] )
% 0.44/1.17 , clause( 2997, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ]
% 0.44/1.17 )
% 0.44/1.17 , clause( 2998, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ), ~(
% 0.44/1.17 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' )
% 0.44/1.17 , Y, Z ) ) ] )
% 0.44/1.17 , clause( 2999, [ 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ),
% 0.44/1.17 'tc_Com_Ocom' ), Y, Z ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ),
% 0.44/1.17 Y, Z ) ) ] )
% 0.44/1.17 , clause( 3000, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 0.44/1.17 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 0.44/1.17 , clause( 3001, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ] )
% 0.44/1.17 , clause( 3002, [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ] )
% 0.44/1.17 , clause( 3003, [ 'c_Natural_Oevaln'( 'c_Option_Othe'( 'c_Com_Obody'( X ),
% 0.44/1.17 'tc_Com_Ocom' ), Y, 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'(
% 0.44/1.17 X, Z, Y, T ), T ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( X ), Y, Z,
% 0.44/1.17 T ) ) ] )
% 0.44/1.17 , clause( 3004, [ =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'(
% 0.44/1.17 'c_Com_Osko__Com__XWTs__elim__cases__7__1'( X ), 'tc_Com_Ocom' ) ), ~(
% 0.44/1.17 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ) ) ] )
% 0.44/1.17 , clause( 3005, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z )
% 0.44/1.17 ) ) ] )
% 0.44/1.17 , clause( 3006, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z )
% 0.44/1.17 ) ) ] )
% 0.44/1.17 , clause( 3007, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ),
% 0.44/1.17 ~( 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.44/1.17 )
% 0.44/1.17 , clause( 3008, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( X ), Y, 'c_Suc'(
% 0.44/1.17 Z ), T ), ~( 'c_Natural_Oevaln'( 'c_Option_Othe'( 'c_Com_Obody'( X ),
% 0.44/1.17 'tc_Com_Ocom' ), Y, Z, T ) ) ] )
% 0.44/1.17 , clause( 3009, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) )
% 0.44/1.17 ), =( X, Y ) ] )
% 0.44/1.17 , clause( 3010, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ]
% 0.44/1.17 )
% 0.44/1.17 , clause( 3011, [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y,
% 0.44/1.17 X ) ) ] )
% 0.44/1.17 , clause( 3012, [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X,
% 0.44/1.17 Y, T, Z ) ) ] )
% 0.44/1.17 , clause( 3013, [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X,
% 0.44/1.17 Y, T, Z ) ) ] )
% 0.44/1.17 , clause( 3014, [ 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'(
% 0.44/1.17 'v_pn' ), 'tc_Com_Ocom' ), 'v_x', 'v_xa' ) ] )
% 0.44/1.17 , clause( 3015, [ ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( 'v_pn' ),
% 0.44/1.17 'v_x', 'v_xa' ) ) ] )
% 0.44/1.17 ] ).
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 subsumption(
% 0.44/1.17 clause( 31, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ), ~(
% 0.44/1.17 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' )
% 0.44/1.17 , Y, Z ) ) ] )
% 0.44/1.17 , clause( 2998, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ), ~(
% 0.44/1.17 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' )
% 0.44/1.17 , Y, Z ) ) ] )
% 0.44/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 subsumption(
% 0.44/1.17 clause( 43, [ 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( 'v_pn' )
% 0.44/1.17 , 'tc_Com_Ocom' ), 'v_x', 'v_xa' ) ] )
% 0.44/1.17 , clause( 3014, [ 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'(
% 0.44/1.17 'v_pn' ), 'tc_Com_Ocom' ), 'v_x', 'v_xa' ) ] )
% 0.44/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 subsumption(
% 0.44/1.17 clause( 44, [ ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( 'v_pn' ), 'v_x',
% 0.44/1.17 'v_xa' ) ) ] )
% 0.44/1.17 , clause( 3015, [ ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( 'v_pn' ),
% 0.44/1.17 'v_x', 'v_xa' ) ) ] )
% 0.44/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 resolution(
% 0.44/1.17 clause( 3136, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( 'v_pn' ), 'v_x',
% 0.44/1.17 'v_xa' ) ] )
% 0.44/1.17 , clause( 31, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ), ~(
% 0.44/1.17 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' )
% 0.44/1.17 , Y, Z ) ) ] )
% 0.44/1.17 , 1, clause( 43, [ 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'(
% 0.44/1.17 'v_pn' ), 'tc_Com_Ocom' ), 'v_x', 'v_xa' ) ] )
% 0.44/1.17 , 0, substitution( 0, [ :=( X, 'v_pn' ), :=( Y, 'v_x' ), :=( Z, 'v_xa' )] )
% 0.44/1.17 , substitution( 1, [] )).
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 resolution(
% 0.44/1.17 clause( 3137, [] )
% 0.44/1.17 , clause( 44, [ ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( 'v_pn' ), 'v_x'
% 0.44/1.17 , 'v_xa' ) ) ] )
% 0.44/1.17 , 0, clause( 3136, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( 'v_pn' ),
% 0.44/1.17 'v_x', 'v_xa' ) ] )
% 0.44/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 subsumption(
% 0.44/1.17 clause( 2959, [] )
% 0.44/1.17 , clause( 3137, [] )
% 0.44/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 end.
% 0.44/1.17
% 0.44/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.17
% 0.44/1.17 Memory use:
% 0.44/1.17
% 0.44/1.17 space for terms: 45161
% 0.44/1.17 space for clauses: 147506
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 clauses generated: 8108
% 0.44/1.17 clauses kept: 2960
% 0.44/1.17 clauses selected: 106
% 0.44/1.17 clauses deleted: 2
% 0.44/1.17 clauses inuse deleted: 2
% 0.44/1.17
% 0.44/1.17 subsentry: 21471
% 0.44/1.17 literals s-matched: 15413
% 0.44/1.17 literals matched: 13134
% 0.44/1.17 full subsumption: 3527
% 0.44/1.17
% 0.44/1.17 checksum: -559928847
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 Bliksem ended
%------------------------------------------------------------------------------