TSTP Solution File: SWV864-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 16:28:54 EDT 2022
% Result : Unsatisfiable 2.04s 2.47s
% Output : Refutation 2.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.36 % Computer : n024.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % DateTime : Wed Jun 15 10:23:33 EDT 2022
% 0.13/0.36 % CPUTime :
% 1.94/2.34 *** allocated 10000 integers for termspace/termends
% 1.94/2.34 *** allocated 10000 integers for clauses
% 1.94/2.34 *** allocated 10000 integers for justifications
% 1.94/2.34 Bliksem 1.12
% 1.94/2.34
% 1.94/2.34
% 1.94/2.34 Automatic Strategy Selection
% 1.94/2.34
% 1.94/2.34 Clauses:
% 1.94/2.34 [
% 1.94/2.34 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.94/2.34 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 1.94/2.34 ,
% 1.94/2.34 [ 'c_Natural_Oevalc'( X,
% 1.94/2.34 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( Y, X, Z, T ), T ),
% 1.94/2.34 ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( Y, X ), Z, T ) ) ],
% 1.94/2.34 [ 'c_Natural_Oevalc'( X, Y,
% 1.94/2.34 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( X, Z, Y, T ) ), ~(
% 1.94/2.34 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Z ), Y, T ) ) ],
% 1.94/2.34 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 1.94/2.34 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 1.94/2.34 ],
% 1.94/2.34 [ 'c_Natural_Oevaln'( X, Y, 'c_Natural_Osko__Natural__Xeval__eq__1__1'(
% 1.94/2.34 X, Y, Z ), Z ), ~( 'c_Natural_Oevalc'( X, Y, Z ) ) ],
% 1.94/2.34 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.94/2.34 , T ) ],
% 1.94/2.34 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.94/2.34 , Z ) ],
% 1.94/2.34 [ 'c_Natural_Oevaln'( X,
% 1.94/2.34 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( Y, X, Z, T, U ), Z
% 1.94/2.34 , U ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( Y, X ), T, Z, U ) ) ]
% 1.94/2.34 ,
% 1.94/2.34 [ 'c_Natural_Oevaln'( X, Y, Z,
% 1.94/2.34 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( X, T, Z, Y, U ) ),
% 1.94/2.34 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, T ), Y, Z, U ) ) ],
% 1.94/2.34 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 1.94/2.34 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.94/2.34 [ 'c_Natural_Oevaln'( X, Y,
% 1.94/2.34 'c_Natural_Osko__Natural__Xevalc__evaln__1__1'( X, Y, Z ), Z ), ~(
% 1.94/2.34 'c_Natural_Oevalc'( X, Y, Z ) ) ],
% 1.94/2.34 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.94/2.34 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 1.94/2.34 Z, T, Y ) ) ],
% 1.94/2.34 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 1.94/2.34 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 1.94/2.34 [ ~( =( 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1',
% 1.94/2.34 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' ) ), ~(
% 1.94/2.34 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.94/2.34 [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 1.94/2.34 [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~(
% 1.94/2.34 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.94/2.34 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 1.94/2.34 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 1.94/2.34 ,
% 1.94/2.34 [ ~( =( 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1',
% 1.94/2.34 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~(
% 1.94/2.34 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.94/2.34 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 1.94/2.34 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 1.94/2.34 ,
% 1.94/2.34 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 1.94/2.34 ,
% 1.94/2.34 [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 1.94/2.34 [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ) ) ],
% 1.94/2.34 [ =( X, 'v_xa' ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X ) ) ],
% 1.94/2.34 [ ~( =( X, 'v_xb'( X ) ) ), =( X, 'v_xa' ) ]
% 1.94/2.34 ] .
% 1.94/2.34
% 1.94/2.34
% 1.94/2.34 percentage equality = 0.340000, percentage horn = 0.925926
% 1.94/2.34 This is a problem with some equality
% 1.94/2.34
% 1.94/2.34
% 1.94/2.34
% 1.94/2.34 Options Used:
% 1.94/2.34
% 1.94/2.34 useres = 1
% 1.94/2.34 useparamod = 1
% 1.94/2.34 useeqrefl = 1
% 1.94/2.34 useeqfact = 1
% 1.94/2.34 usefactor = 1
% 1.94/2.34 usesimpsplitting = 0
% 1.94/2.34 usesimpdemod = 5
% 1.94/2.34 usesimpres = 3
% 1.94/2.34
% 1.94/2.34 resimpinuse = 1000
% 1.94/2.34 resimpclauses = 20000
% 1.94/2.34 substype = eqrewr
% 1.94/2.34 backwardsubs = 1
% 1.94/2.34 selectoldest = 5
% 1.94/2.34
% 1.94/2.34 litorderings [0] = split
% 1.94/2.34 litorderings [1] = extend the termordering, first sorting on arguments
% 1.94/2.34
% 1.94/2.34 termordering = kbo
% 1.94/2.34
% 1.94/2.34 litapriori = 0
% 1.94/2.34 termapriori = 1
% 1.94/2.34 litaposteriori = 0
% 1.94/2.34 termaposteriori = 0
% 1.94/2.34 demodaposteriori = 0
% 1.94/2.34 ordereqreflfact = 0
% 1.94/2.34
% 1.94/2.34 litselect = negord
% 1.94/2.34
% 1.94/2.34 maxweight = 15
% 1.94/2.34 maxdepth = 30000
% 1.94/2.34 maxlength = 115
% 1.94/2.34 maxnrvars = 195
% 1.94/2.34 excuselevel = 1
% 1.94/2.34 increasemaxweight = 1
% 1.94/2.34
% 1.94/2.34 maxselected = 10000000
% 1.94/2.34 maxnrclauses = 10000000
% 1.94/2.34
% 1.94/2.34 showgenerated = 0
% 2.04/2.47 showkept = 0
% 2.04/2.47 showselected = 0
% 2.04/2.47 showdeleted = 0
% 2.04/2.47 showresimp = 1
% 2.04/2.47 showstatus = 2000
% 2.04/2.47
% 2.04/2.47 prologoutput = 1
% 2.04/2.47 nrgoals = 5000000
% 2.04/2.47 totalproof = 1
% 2.04/2.47
% 2.04/2.47 Symbols occurring in the translation:
% 2.04/2.47
% 2.04/2.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.04/2.47 . [1, 2] (w:1, o:45, a:1, s:1, b:0),
% 2.04/2.47 ! [4, 1] (w:0, o:38, a:1, s:1, b:0),
% 2.04/2.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.04/2.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.04/2.47 'c_Fun_Oid' [41, 2] (w:1, o:70, a:1, s:1, b:0),
% 2.04/2.47 'c_Com_Ocom_OSKIP' [44, 0] (w:1, o:16, a:1, s:1, b:0),
% 2.04/2.47 'c_Natural_Oevaln' [46, 4] (w:1, o:75, a:1, s:1, b:0),
% 2.04/2.47 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1' [49, 4] (w:1, o:
% 2.04/2.47 76, a:1, s:1, b:0),
% 2.04/2.47 'c_Natural_Oevalc' [50, 3] (w:1, o:72, a:1, s:1, b:0),
% 2.04/2.47 'c_Com_Ocom_OSemi' [51, 2] (w:1, o:71, a:1, s:1, b:0),
% 2.04/2.47 'c_Natural_Osko__Natural__Xeval__eq__1__1' [57, 3] (w:1, o:73, a:1
% 2.04/2.47 , s:1, b:0),
% 2.04/2.47 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1' [62, 5] (w:1, o:
% 2.04/2.47 77, a:1, s:1, b:0),
% 2.04/2.47 'c_Natural_Osko__Natural__Xevalc__evaln__1__1' [63, 3] (w:1, o:74, a:
% 2.04/2.47 1, s:1, b:0),
% 2.04/2.47 'v_x' [65, 0] (w:1, o:27, a:1, s:1, b:0),
% 2.04/2.47 't_a' [66, 0] (w:1, o:28, a:1, s:1, b:0),
% 2.04/2.47 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1' [67, 0
% 2.04/2.47 ] (w:1, o:29, a:1, s:1, b:0),
% 2.04/2.47 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' [68, 0
% 2.04/2.47 ] (w:1, o:30, a:1, s:1, b:0),
% 2.04/2.47 'c_Hoare__Mirabelle_Ostate__not__singleton' [69, 0] (w:1, o:31, a:1
% 2.04/2.47 , s:1, b:0),
% 2.04/2.47 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1' [71, 1] (w:1, o:43, a:1
% 2.04/2.47 , s:1, b:0),
% 2.04/2.47 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' [72, 0] (w:
% 2.04/2.47 1, o:33, a:1, s:1, b:0),
% 2.04/2.47 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' [73, 0] (w:
% 2.04/2.47 1, o:34, a:1, s:1, b:0),
% 2.04/2.47 'v_c' [74, 0] (w:1, o:35, a:1, s:1, b:0),
% 2.04/2.47 'v_xa' [75, 0] (w:1, o:36, a:1, s:1, b:0),
% 2.04/2.47 'v_xb' [77, 1] (w:1, o:44, a:1, s:1, b:0).
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Starting Search:
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 4639
% 2.04/2.47 Kept: 2023
% 2.04/2.47 Inuse: 84
% 2.04/2.47 Deleted: 5
% 2.04/2.47 Deletedinuse: 0
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 12494
% 2.04/2.47 Kept: 4029
% 2.04/2.47 Inuse: 155
% 2.04/2.47 Deleted: 6
% 2.04/2.47 Deletedinuse: 0
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 18117
% 2.04/2.47 Kept: 6558
% 2.04/2.47 Inuse: 190
% 2.04/2.47 Deleted: 26
% 2.04/2.47 Deletedinuse: 1
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 24098
% 2.04/2.47 Kept: 8579
% 2.04/2.47 Inuse: 230
% 2.04/2.47 Deleted: 26
% 2.04/2.47 Deletedinuse: 1
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 33499
% 2.04/2.47 Kept: 10607
% 2.04/2.47 Inuse: 310
% 2.04/2.47 Deleted: 32
% 2.04/2.47 Deletedinuse: 3
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 45960
% 2.04/2.47 Kept: 12636
% 2.04/2.47 Inuse: 359
% 2.04/2.47 Deleted: 32
% 2.04/2.47 Deletedinuse: 3
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 56481
% 2.04/2.47 Kept: 15480
% 2.04/2.47 Inuse: 413
% 2.04/2.47 Deleted: 33
% 2.04/2.47 Deletedinuse: 4
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 62581
% 2.04/2.47 Kept: 18919
% 2.04/2.47 Inuse: 415
% 2.04/2.47 Deleted: 33
% 2.04/2.47 Deletedinuse: 4
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying clauses:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 71889
% 2.04/2.47 Kept: 20977
% 2.04/2.47 Inuse: 436
% 2.04/2.47 Deleted: 295
% 2.04/2.47 Deletedinuse: 4
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 89647
% 2.04/2.47 Kept: 23032
% 2.04/2.47 Inuse: 472
% 2.04/2.47 Deleted: 311
% 2.04/2.47 Deletedinuse: 18
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 96122
% 2.04/2.47 Kept: 25062
% 2.04/2.47 Inuse: 491
% 2.04/2.47 Deleted: 311
% 2.04/2.47 Deletedinuse: 18
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 105172
% 2.04/2.47 Kept: 27489
% 2.04/2.47 Inuse: 530
% 2.04/2.47 Deleted: 313
% 2.04/2.47 Deletedinuse: 18
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Intermediate Status:
% 2.04/2.47 Generated: 117290
% 2.04/2.47 Kept: 29508
% 2.04/2.47 Inuse: 580
% 2.04/2.47 Deleted: 313
% 2.04/2.47 Deletedinuse: 18
% 2.04/2.47
% 2.04/2.47 Resimplifying inuse:
% 2.04/2.47 Done
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 Bliksems!, er is een bewijs:
% 2.04/2.47 % SZS status Unsatisfiable
% 2.04/2.47 % SZS output start Refutation
% 2.04/2.47
% 2.04/2.47 clause( 13, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 2.04/2.47 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 17, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X )
% 2.04/2.47 ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 22, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ) ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 24, [ =( X, 'v_xa' ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X )
% 2.04/2.47 ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 25, [ ~( =( 'v_xb'( X ), X ) ), =( X, 'v_xa' ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 75, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X )
% 2.04/2.47 ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 838, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), ~( =( 'v_xb'( X
% 2.04/2.47 ), X ) ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 1616, [ ~( =( 'v_xa', X ) ), 'c_Natural_Oevalc'( 'v_c', 'v_x',
% 2.04/2.47 'v_xb'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 1646, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ),
% 2.04/2.47 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X ) ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 1648, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'(
% 2.04/2.47 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 1661, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'(
% 2.04/2.47 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 1705, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'( 'v_xb'(
% 2.04/2.47 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 30174, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), =( 'v_xb'( X )
% 2.04/2.47 , Y ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', Y ) ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 30218, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), =( 'v_xb'( X )
% 2.04/2.47 , X ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 30219, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ) ] )
% 2.04/2.47 .
% 2.04/2.47 clause( 30233, [] )
% 2.04/2.47 .
% 2.04/2.47
% 2.04/2.47
% 2.04/2.47 % SZS output end Refutation
% 2.04/2.47 found a proof!
% 2.04/2.47
% 2.04/2.47 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.04/2.47
% 2.04/2.47 initialclauses(
% 2.04/2.47 [ clause( 30235, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 2.04/2.47 , clause( 30236, [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y
% 2.04/2.47 , Z, X ) ) ] )
% 2.04/2.47 , clause( 30237, [ 'c_Natural_Oevalc'( X,
% 2.04/2.47 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( Y, X, Z, T ), T ),
% 2.04/2.47 ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( Y, X ), Z, T ) ) ] )
% 2.04/2.47 , clause( 30238, [ 'c_Natural_Oevalc'( X, Y,
% 2.04/2.47 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( X, Z, Y, T ) ), ~(
% 2.04/2.47 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Z ), Y, T ) ) ] )
% 2.04/2.47 , clause( 30239, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U
% 2.04/2.47 ), ~( 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T
% 2.04/2.47 , W ) ) ] )
% 2.04/2.47 , clause( 30240, [ 'c_Natural_Oevaln'( X, Y,
% 2.04/2.47 'c_Natural_Osko__Natural__Xeval__eq__1__1'( X, Y, Z ), Z ), ~(
% 2.04/2.47 'c_Natural_Oevalc'( X, Y, Z ) ) ] )
% 2.04/2.47 , clause( 30241, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z
% 2.04/2.47 , T ) ) ), =( Y, T ) ] )
% 2.04/2.47 , clause( 30242, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z
% 2.04/2.47 , T ) ) ), =( X, Z ) ] )
% 2.04/2.47 , clause( 30243, [ 'c_Natural_Oevaln'( X,
% 2.04/2.47 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( Y, X, Z, T, U ), Z
% 2.04/2.47 , U ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( Y, X ), T, Z, U ) ) ]
% 2.04/2.47 )
% 2.04/2.47 , clause( 30244, [ 'c_Natural_Oevaln'( X, Y, Z,
% 2.04/2.47 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( X, T, Z, Y, U ) ),
% 2.04/2.47 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, T ), Y, Z, U ) ) ] )
% 2.04/2.47 , clause( 30245, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ] )
% 2.04/2.47 , clause( 30246, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) )
% 2.04/2.47 ] )
% 2.04/2.47 , clause( 30247, [ 'c_Natural_Oevaln'( X, Y,
% 2.04/2.47 'c_Natural_Osko__Natural__Xevalc__evaln__1__1'( X, Y, Z ), Z ), ~(
% 2.04/2.47 'c_Natural_Oevalc'( X, Y, Z ) ) ] )
% 2.04/2.47 , clause( 30248, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) )
% 2.04/2.47 ] )
% 2.04/2.47 , clause( 30249, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 2.04/2.47 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 2.04/2.47 , clause( 30250, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ] )
% 2.04/2.47 , clause( 30251, [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ] )
% 2.04/2.47 , clause( 30252, [ ~( =(
% 2.04/2.47 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1',
% 13.05/13.48 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' ) ), ~(
% 13.05/13.48 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 13.05/13.48 , clause( 30253, [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ]
% 13.05/13.48 )
% 13.05/13.48 , clause( 30254, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X )
% 13.05/13.48 , X ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 13.05/13.48 , clause( 30255, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ),
% 13.05/13.48 ~( 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 13.05/13.48 )
% 13.05/13.48 , clause( 30256, [ ~( =(
% 13.05/13.48 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1',
% 13.05/13.48 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~(
% 13.05/13.48 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 13.05/13.48 , clause( 30257, [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y
% 13.05/13.48 , X ) ) ] )
% 13.05/13.48 , clause( 30258, [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X
% 13.05/13.48 , Y, T, Z ) ) ] )
% 13.05/13.48 , clause( 30259, [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X
% 13.05/13.48 , Y, T, Z ) ) ] )
% 13.05/13.48 , clause( 30260, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 13.05/13.48 , clause( 30261, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ) ) ] )
% 13.05/13.48 , clause( 30262, [ =( X, 'v_xa' ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'(
% 13.05/13.48 X ) ) ] )
% 13.05/13.48 , clause( 30263, [ ~( =( X, 'v_xb'( X ) ) ), =( X, 'v_xa' ) ] )
% 13.05/13.48 ] ).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 subsumption(
% 13.05/13.48 clause( 13, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 13.05/13.48 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 13.05/13.48 , clause( 30249, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 13.05/13.48 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 13.05/13.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 13.05/13.48 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 subsumption(
% 13.05/13.48 clause( 17, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X )
% 13.05/13.48 ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 13.05/13.48 , clause( 30254, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X )
% 13.05/13.48 , X ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 13.05/13.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 13.05/13.48 1 )] ) ).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 subsumption(
% 13.05/13.48 clause( 22, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 13.05/13.48 , clause( 30260, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 13.05/13.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 subsumption(
% 13.05/13.48 clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ) ) ] )
% 13.05/13.48 , clause( 30261, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ) ) ] )
% 13.05/13.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 subsumption(
% 13.05/13.48 clause( 24, [ =( X, 'v_xa' ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X )
% 13.05/13.48 ) ] )
% 13.05/13.48 , clause( 30262, [ =( X, 'v_xa' ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'(
% 13.05/13.48 X ) ) ] )
% 13.05/13.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 13.05/13.48 1 )] ) ).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 eqswap(
% 13.05/13.48 clause( 30341, [ ~( =( 'v_xb'( X ), X ) ), =( X, 'v_xa' ) ] )
% 13.05/13.48 , clause( 30263, [ ~( =( X, 'v_xb'( X ) ) ), =( X, 'v_xa' ) ] )
% 13.05/13.48 , 0, substitution( 0, [ :=( X, X )] )).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 subsumption(
% 13.05/13.48 clause( 25, [ ~( =( 'v_xb'( X ), X ) ), =( X, 'v_xa' ) ] )
% 13.05/13.48 , clause( 30341, [ ~( =( 'v_xb'( X ), X ) ), =( X, 'v_xa' ) ] )
% 13.05/13.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 13.05/13.48 1 )] ) ).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 resolution(
% 13.05/13.48 clause( 30345, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ),
% 13.05/13.48 X ) ) ] )
% 13.05/13.48 , clause( 17, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X
% 13.05/13.48 ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 13.05/13.48 , 1, clause( 22, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 13.05/13.48 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 subsumption(
% 13.05/13.48 clause( 75, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X )
% 13.05/13.48 ) ] )
% 13.05/13.48 , clause( 30345, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X )
% 13.05/13.48 , X ) ) ] )
% 13.05/13.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 eqswap(
% 13.05/13.48 clause( 30348, [ =( 'v_xa', X ), ~( =( 'v_xb'( X ), X ) ) ] )
% 13.05/13.48 , clause( 25, [ ~( =( 'v_xb'( X ), X ) ), =( X, 'v_xa' ) ] )
% 13.05/13.48 , 1, substitution( 0, [ :=( X, X )] )).
% 13.05/13.48
% 13.05/13.48
% 13.05/13.48 eqswap(
% 13.05/13.48 clause( 30349, [ ~( =( X, 'v_xb'( X ) ) ), =( 'v_xa', X ) ] )
% 13.05/13.48 , clause( 30348, [ =( 'v_xa', X ), ~( =( 'v_xb'( X ), X ) ) ] )
% 13.05/13.48 , 1, substitution( 0, [ :=( X, X )] )).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 paramod(
% 13.05/13.49 clause( 50662, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), ~( =( X,
% 13.05/13.49 'v_xb'( X ) ) ) ] )
% 13.05/13.49 , clause( 30349, [ ~( =( X, 'v_xb'( X ) ) ), =( 'v_xa', X ) ] )
% 13.05/13.49 , 1, clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ) ) ] )
% 13.05/13.49 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 eqswap(
% 13.05/13.49 clause( 50663, [ ~( =( 'v_xb'( X ), X ) ), ~( 'c_Natural_Oevalc'( 'v_c',
% 13.05/13.49 'v_x', X ) ) ] )
% 13.05/13.49 , clause( 50662, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), ~( =( X,
% 13.05/13.49 'v_xb'( X ) ) ) ] )
% 13.05/13.49 , 1, substitution( 0, [ :=( X, X )] )).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 subsumption(
% 13.05/13.49 clause( 838, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), ~( =( 'v_xb'( X
% 13.05/13.49 ), X ) ) ] )
% 13.05/13.49 , clause( 50663, [ ~( =( 'v_xb'( X ), X ) ), ~( 'c_Natural_Oevalc'( 'v_c',
% 13.05/13.49 'v_x', X ) ) ] )
% 13.05/13.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 13.05/13.49 0 )] ) ).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 eqswap(
% 13.05/13.49 clause( 50665, [ ~( =( X, 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X
% 13.05/13.49 ) ) ) ] )
% 13.05/13.49 , clause( 75, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X
% 13.05/13.49 ) ) ] )
% 13.05/13.49 , 0, substitution( 0, [ :=( X, X )] )).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 paramod(
% 13.05/13.49 clause( 50666, [ ~( =( X, 'v_xa' ) ), 'c_Natural_Oevalc'( 'v_c', 'v_x',
% 13.05/13.49 'v_xb'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.05/13.49 , clause( 24, [ =( X, 'v_xa' ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X
% 13.05/13.49 ) ) ] )
% 13.05/13.49 , 0, clause( 50665, [ ~( =( X,
% 13.05/13.49 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.05/13.49 , 0, 3, substitution( 0, [ :=( X,
% 13.05/13.49 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) )] ), substitution( 1
% 13.05/13.49 , [ :=( X, X )] )).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 eqswap(
% 13.05/13.49 clause( 50911, [ ~( =( 'v_xa', X ) ), 'c_Natural_Oevalc'( 'v_c', 'v_x',
% 13.05/13.49 'v_xb'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.05/13.49 , clause( 50666, [ ~( =( X, 'v_xa' ) ), 'c_Natural_Oevalc'( 'v_c', 'v_x',
% 13.05/13.49 'v_xb'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.05/13.49 , 0, substitution( 0, [ :=( X, X )] )).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 subsumption(
% 13.05/13.49 clause( 1616, [ ~( =( 'v_xa', X ) ), 'c_Natural_Oevalc'( 'v_c', 'v_x',
% 13.05/13.49 'v_xb'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.05/13.49 , clause( 50911, [ ~( =( 'v_xa', X ) ), 'c_Natural_Oevalc'( 'v_c', 'v_x',
% 13.05/13.49 'v_xb'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.05/13.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 13.05/13.49 1 )] ) ).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 eqswap(
% 13.05/13.49 clause( 51200, [ =( 'v_xa', X ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'(
% 13.05/13.49 X ) ) ] )
% 13.05/13.49 , clause( 24, [ =( X, 'v_xa' ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X
% 13.05/13.49 ) ) ] )
% 13.05/13.49 , 0, substitution( 0, [ :=( X, X )] )).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 paramod(
% 13.05/13.49 clause( 51201, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ),
% 13.05/13.49 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X ) ) ] )
% 13.05/13.49 , clause( 51200, [ =( 'v_xa', X ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'(
% 13.05/13.49 X ) ) ] )
% 13.05/13.49 , 0, clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ) ) ] )
% 13.05/13.49 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 subsumption(
% 13.05/13.49 clause( 1646, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ),
% 13.05/13.49 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X ) ) ] )
% 13.05/13.49 , clause( 51201, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ),
% 13.05/13.49 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X ) ) ] )
% 13.05/13.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 13.05/13.49 1 )] ) ).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 eqswap(
% 13.05/13.49 clause( 51202, [ ~( =( X, 'v_xa' ) ), 'c_Natural_Oevalc'( 'v_c', 'v_x',
% 13.05/13.49 'v_xb'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.05/13.49 , clause( 1616, [ ~( =( 'v_xa', X ) ), 'c_Natural_Oevalc'( 'v_c', 'v_x',
% 13.05/13.49 'v_xb'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.05/13.49 , 0, substitution( 0, [ :=( X, X )] )).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 eqrefl(
% 13.05/13.49 clause( 51203, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'(
% 13.05/13.49 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ] )
% 13.05/13.49 , clause( 51202, [ ~( =( X, 'v_xa' ) ), 'c_Natural_Oevalc'( 'v_c', 'v_x',
% 13.05/13.49 'v_xb'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.05/13.49 , 0, substitution( 0, [ :=( X, 'v_xa' )] )).
% 13.05/13.49
% 13.05/13.49
% 13.05/13.49 subsumption(
% 13.05/13.49 clause( 1648, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'(
% 13.05/13.49 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ] )
% 13.05/13.49 , clause( 51203, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'(
% 13.05/13.49 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ] )
% 13.05/13.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 paramod(
% 13.05/13.50 clause( 51208, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ),
% 13.05/13.50 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ] )
% 13.05/13.50 , clause( 24, [ =( X, 'v_xa' ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X
% 13.05/13.50 ) ) ] )
% 13.05/13.50 , 0, clause( 1648, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ] )
% 13.05/13.50 , 0, 3, substitution( 0, [ :=( X, 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) )] ),
% 13.05/13.50 substitution( 1, [] )).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 resolution(
% 13.05/13.50 clause( 52184, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ] )
% 13.05/13.50 , clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ) ) ] )
% 13.05/13.50 , 0, clause( 51208, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ),
% 13.05/13.50 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ] )
% 13.05/13.50 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 subsumption(
% 13.05/13.50 clause( 1661, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ] )
% 13.05/13.50 , clause( 52184, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ] )
% 13.05/13.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 paramod(
% 13.05/13.50 clause( 52189, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ),
% 13.05/13.50 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ) ] )
% 13.05/13.50 , clause( 24, [ =( X, 'v_xa' ), 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X
% 13.05/13.50 ) ) ] )
% 13.05/13.50 , 0, clause( 1661, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ] )
% 13.05/13.50 , 0, 3, substitution( 0, [ :=( X, 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) )] ),
% 13.05/13.50 substitution( 1, [] )).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 resolution(
% 13.05/13.50 clause( 53278, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ) ] )
% 13.05/13.50 , clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ) ) ] )
% 13.05/13.50 , 0, clause( 52189, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xa' ),
% 13.05/13.50 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ) ] )
% 13.05/13.50 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 subsumption(
% 13.05/13.50 clause( 1705, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ) ] )
% 13.05/13.50 , clause( 53278, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ) ] )
% 13.05/13.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 resolution(
% 13.05/13.50 clause( 53279, [ =( 'v_xb'( X ), Y ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_x',
% 13.05/13.50 Y ) ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ) ] )
% 13.05/13.50 , clause( 13, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 13.05/13.50 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 13.05/13.50 , 1, clause( 1646, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ),
% 13.05/13.50 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( X ) ) ] )
% 13.05/13.50 , 1, substitution( 0, [ :=( X, 'v_xb'( X ) ), :=( Y, Y ), :=( Z, 'v_c' ),
% 13.05/13.50 :=( T, 'v_x' )] ), substitution( 1, [ :=( X, X )] )).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 subsumption(
% 13.05/13.50 clause( 30174, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), =( 'v_xb'( X )
% 13.05/13.50 , Y ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', Y ) ) ] )
% 13.05/13.50 , clause( 53279, [ =( 'v_xb'( X ), Y ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_x'
% 13.05/13.50 , Y ) ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ) ] )
% 13.05/13.50 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 13.05/13.50 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 factor(
% 13.05/13.50 clause( 53284, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), =( 'v_xb'( X )
% 13.05/13.50 , X ) ] )
% 13.05/13.50 , clause( 30174, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), =( 'v_xb'( X
% 13.05/13.50 ), Y ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', Y ) ) ] )
% 13.05/13.50 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 subsumption(
% 13.05/13.50 clause( 30218, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), =( 'v_xb'( X )
% 13.05/13.50 , X ) ] )
% 13.05/13.50 , clause( 53284, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), =( 'v_xb'( X
% 13.05/13.50 ), X ) ] )
% 13.05/13.50 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 13.05/13.50 1 )] ) ).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 resolution(
% 13.05/13.50 clause( 53288, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), ~(
% 13.05/13.50 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ) ] )
% 13.05/13.50 , clause( 838, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), ~( =( 'v_xb'(
% 13.05/13.50 X ), X ) ) ] )
% 13.05/13.50 , 1, clause( 30218, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), =( 'v_xb'(
% 13.05/13.50 X ), X ) ] )
% 13.05/13.50 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 13.05/13.50 ).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 factor(
% 13.05/13.50 clause( 53289, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ) ] )
% 13.05/13.50 , clause( 53288, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ), ~(
% 13.05/13.50 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ) ] )
% 13.05/13.50 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 subsumption(
% 13.05/13.50 clause( 30219, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ) ] )
% 13.05/13.50 , clause( 53289, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ) ] )
% 13.05/13.50 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 resolution(
% 13.05/13.50 clause( 53290, [] )
% 13.05/13.50 , clause( 30219, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_x', X ) ) ] )
% 13.05/13.50 , 0, clause( 1705, [ 'c_Natural_Oevalc'( 'v_c', 'v_x', 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_xb'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) ) ]
% 13.05/13.50 )
% 13.05/13.50 , 0, substitution( 0, [ :=( X, 'v_xb'( 'v_xb'( 'v_xb'(
% 13.05/13.50 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_xa' ) ) ) ) )] ),
% 13.05/13.50 substitution( 1, [] )).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 subsumption(
% 13.05/13.50 clause( 30233, [] )
% 13.05/13.50 , clause( 53290, [] )
% 13.05/13.50 , substitution( 0, [] ), permutation( 0, [] ) ).
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 end.
% 13.05/13.50
% 13.05/13.50 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 13.05/13.50
% 13.05/13.50 Memory use:
% 13.05/13.50
% 13.05/13.50 space for terms: 482383
% 13.05/13.50 space for clauses: 1167080
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 clauses generated: 122941
% 13.05/13.50 clauses kept: 30234
% 13.05/13.50 clauses selected: 598
% 13.05/13.50 clauses deleted: 316
% 13.05/13.50 clauses inuse deleted: 18
% 13.05/13.50
% 13.05/13.50 subsentry: 85702357
% 13.05/13.50 literals s-matched: 294311
% 13.05/13.50 literals matched: 271410
% 13.05/13.50 full subsumption: 32192
% 13.05/13.50
% 13.05/13.50 checksum: 596462682
% 13.05/13.50
% 13.05/13.50
% 13.05/13.50 Bliksem ended
%------------------------------------------------------------------------------