%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV865-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 2.26s 2.63s
% Output : Refutation 2.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV865-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n004.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 : Thu Jun 16 02:20:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.64/2.08 *** allocated 10000 integers for termspace/termends
% 1.64/2.08 *** allocated 10000 integers for clauses
% 1.64/2.08 *** allocated 10000 integers for justifications
% 1.64/2.08 Bliksem 1.12
% 1.64/2.08
% 1.64/2.08
% 1.64/2.08 Automatic Strategy Selection
% 1.64/2.08
% 1.64/2.08 Clauses:
% 1.64/2.08 [
% 1.64/2.08 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 1.64/2.08 ,
% 1.64/2.08 [ 'c_Natural_Oevalc'( X,
% 1.64/2.08 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( Y, X, Z, T ), T ),
% 1.64/2.08 ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( Y, X ), Z, T ) ) ],
% 1.64/2.08 [ 'c_Natural_Oevalc'( X, Y,
% 1.64/2.08 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( X, Z, Y, T ) ), ~(
% 1.64/2.08 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Z ), Y, T ) ) ],
% 1.64/2.08 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 1.64/2.08 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 1.64/2.08 ],
% 1.64/2.08 [ 'c_Natural_Oevaln'( X, Y, 'c_Natural_Osko__Natural__Xeval__eq__1__1'(
% 1.64/2.08 X, Y, Z ), Z ), ~( 'c_Natural_Oevalc'( X, Y, Z ) ) ],
% 1.64/2.08 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.64/2.08 , T ) ],
% 1.64/2.08 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.64/2.08 , Z ) ],
% 1.64/2.08 [ =( 'c_Code__Evaluation_Otracing'( X, Y, Z ), Y ) ],
% 1.64/2.08 [ 'c_Natural_Oevaln'( X,
% 1.64/2.08 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( Y, X, Z, T, U ), Z
% 1.64/2.08 , U ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( Y, X ), T, Z, U ) ) ]
% 1.64/2.08 ,
% 1.64/2.08 [ 'c_Natural_Oevaln'( X, Y, Z,
% 1.64/2.08 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( X, T, Z, Y, U ) ),
% 1.64/2.08 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, T ), Y, Z, U ) ) ],
% 1.64/2.08 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 1.64/2.08 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.64/2.08 [ 'c_Natural_Oevaln'( X, Y,
% 1.64/2.08 'c_Natural_Osko__Natural__Xevalc__evaln__1__1'( X, Y, Z ), Z ), ~(
% 1.64/2.08 'c_Natural_Oevalc'( X, Y, Z ) ) ],
% 1.64/2.08 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.64/2.08 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 1.64/2.08 Z, T, Y ) ) ],
% 1.64/2.08 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 1.64/2.08 [ ~( =( 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1',
% 1.64/2.08 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' ) ), ~(
% 1.64/2.08 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.64/2.08 [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 1.64/2.08 [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~(
% 1.64/2.08 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.64/2.08 [ =( 'c_Code__Evaluation_Otracing'( 'v_s', 'v_x', 't_a' ), 'v_x' ) ]
% 1.64/2.08 ,
% 1.64/2.08 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 1.64/2.08 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 1.64/2.08 ,
% 1.64/2.08 [ ~( =( 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1',
% 1.64/2.08 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~(
% 1.64/2.08 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.64/2.08 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 1.64/2.08 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 1.64/2.08 ,
% 1.64/2.08 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 1.64/2.08 ,
% 1.64/2.08 [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 1.64/2.08 [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ) ) ],
% 1.64/2.08 [ 'c_Natural_Oevalc'( 'v_c', hAPP( hAPP( 'v_s', 'v_Z' ), 'v_s_H' ),
% 1.64/2.08 'v_t' ) ],
% 1.64/2.08 [ =( X, 'v_s_H' ), 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( X ) ) ]
% 1.64/2.08 ,
% 1.64/2.08 [ ~( =( X, 'v_Z_H'( X ) ) ), =( X, 'v_s_H' ) ]
% 1.64/2.08 ] .
% 1.64/2.08
% 1.64/2.08
% 1.64/2.08 percentage equality = 0.333333, percentage horn = 0.928571
% 1.64/2.08 This is a problem with some equality
% 1.64/2.08
% 1.64/2.08
% 1.64/2.08
% 1.64/2.08 Options Used:
% 1.64/2.08
% 1.64/2.08 useres = 1
% 1.64/2.08 useparamod = 1
% 1.64/2.08 useeqrefl = 1
% 1.64/2.08 useeqfact = 1
% 1.64/2.08 usefactor = 1
% 1.64/2.08 usesimpsplitting = 0
% 1.64/2.08 usesimpdemod = 5
% 1.64/2.08 usesimpres = 3
% 1.64/2.08
% 1.64/2.08 resimpinuse = 1000
% 1.64/2.08 resimpclauses = 20000
% 1.64/2.08 substype = eqrewr
% 1.64/2.08 backwardsubs = 1
% 1.64/2.08 selectoldest = 5
% 1.64/2.08
% 1.64/2.08 litorderings [0] = split
% 1.64/2.08 litorderings [1] = extend the termordering, first sorting on arguments
% 1.64/2.08
% 1.64/2.08 termordering = kbo
% 1.64/2.08
% 1.64/2.08 litapriori = 0
% 1.64/2.08 termapriori = 1
% 1.64/2.08 litaposteriori = 0
% 1.64/2.08 termaposteriori = 0
% 1.64/2.08 demodaposteriori = 0
% 1.64/2.08 ordereqreflfact = 0
% 1.64/2.08
% 1.64/2.08 litselect = negord
% 1.64/2.08
% 1.64/2.08 maxweight = 15
% 1.64/2.08 maxdepth = 30000
% 1.64/2.08 maxlength = 115
% 1.64/2.08 maxnrvars = 195
% 2.26/2.63 excuselevel = 1
% 2.26/2.63 increasemaxweight = 1
% 2.26/2.63
% 2.26/2.63 maxselected = 10000000
% 2.26/2.63 maxnrclauses = 10000000
% 2.26/2.63
% 2.26/2.63 showgenerated = 0
% 2.26/2.63 showkept = 0
% 2.26/2.63 showselected = 0
% 2.26/2.63 showdeleted = 0
% 2.26/2.63 showresimp = 1
% 2.26/2.63 showstatus = 2000
% 2.26/2.63
% 2.26/2.63 prologoutput = 1
% 2.26/2.63 nrgoals = 5000000
% 2.26/2.63 totalproof = 1
% 2.26/2.63
% 2.26/2.63 Symbols occurring in the translation:
% 2.26/2.63
% 2.26/2.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.26/2.63 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 2.26/2.63 ! [4, 1] (w:0, o:41, a:1, s:1, b:0),
% 2.26/2.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.26/2.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.26/2.63 'c_Com_Ocom_OSKIP' [41, 0] (w:1, o:14, a:1, s:1, b:0),
% 2.26/2.63 'c_Natural_Oevaln' [43, 4] (w:1, o:79, a:1, s:1, b:0),
% 2.26/2.63 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1' [46, 4] (w:1, o:
% 2.26/2.63 80, a:1, s:1, b:0),
% 2.26/2.63 'c_Natural_Oevalc' [47, 3] (w:1, o:75, a:1, s:1, b:0),
% 2.26/2.63 'c_Com_Ocom_OSemi' [48, 2] (w:1, o:73, a:1, s:1, b:0),
% 2.26/2.63 'c_Natural_Osko__Natural__Xeval__eq__1__1' [54, 3] (w:1, o:76, a:1
% 2.26/2.63 , s:1, b:0),
% 2.26/2.63 'c_Code__Evaluation_Otracing' [61, 3] (w:1, o:77, a:1, s:1, b:0),
% 2.26/2.63 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1' [62, 5] (w:1, o:
% 2.26/2.63 81, a:1, s:1, b:0),
% 2.26/2.63 'c_Natural_Osko__Natural__Xevalc__evaln__1__1' [63, 3] (w:1, o:78, a:
% 2.26/2.63 1, s:1, b:0),
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1' [65, 0
% 2.26/2.63 ] (w:1, o:27, a:1, s:1, b:0),
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' [66, 0
% 2.26/2.63 ] (w:1, o:28, a:1, s:1, b:0),
% 2.26/2.63 'c_Hoare__Mirabelle_Ostate__not__singleton' [67, 0] (w:1, o:29, a:1
% 2.26/2.63 , s:1, b:0),
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1' [69, 1] (w:1, o:46, a:1
% 2.26/2.63 , s:1, b:0),
% 2.26/2.63 'v_s' [70, 0] (w:1, o:31, a:1, s:1, b:0),
% 2.26/2.63 'v_x' [71, 0] (w:1, o:32, a:1, s:1, b:0),
% 2.26/2.63 't_a' [72, 0] (w:1, o:33, a:1, s:1, b:0),
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1' [73, 0] (w:
% 2.26/2.63 1, o:34, a:1, s:1, b:0),
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' [74, 0] (w:
% 2.26/2.63 1, o:35, a:1, s:1, b:0),
% 2.26/2.63 'v_c' [75, 0] (w:1, o:36, a:1, s:1, b:0),
% 2.26/2.63 'v_Z' [76, 0] (w:1, o:37, a:1, s:1, b:0),
% 2.26/2.63 'v_s_H' [77, 0] (w:1, o:38, a:1, s:1, b:0),
% 2.26/2.63 hAPP [78, 2] (w:1, o:74, a:1, s:1, b:0),
% 2.26/2.63 'v_t' [79, 0] (w:1, o:39, a:1, s:1, b:0),
% 2.26/2.63 'v_Z_H' [81, 1] (w:1, o:47, a:1, s:1, b:0).
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Starting Search:
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 4601
% 2.26/2.63 Kept: 2033
% 2.26/2.63 Inuse: 83
% 2.26/2.63 Deleted: 5
% 2.26/2.63 Deletedinuse: 0
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 12956
% 2.26/2.63 Kept: 4061
% 2.26/2.63 Inuse: 156
% 2.26/2.63 Deleted: 6
% 2.26/2.63 Deletedinuse: 0
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 18792
% 2.26/2.63 Kept: 6553
% 2.26/2.63 Inuse: 192
% 2.26/2.63 Deleted: 26
% 2.26/2.63 Deletedinuse: 1
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 24023
% 2.26/2.63 Kept: 8583
% 2.26/2.63 Inuse: 229
% 2.26/2.63 Deleted: 26
% 2.26/2.63 Deletedinuse: 1
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 33351
% 2.26/2.63 Kept: 10603
% 2.26/2.63 Inuse: 306
% 2.26/2.63 Deleted: 32
% 2.26/2.63 Deletedinuse: 3
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 47642
% 2.26/2.63 Kept: 12879
% 2.26/2.63 Inuse: 367
% 2.26/2.63 Deleted: 32
% 2.26/2.63 Deletedinuse: 3
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 56381
% 2.26/2.63 Kept: 15625
% 2.26/2.63 Inuse: 416
% 2.26/2.63 Deleted: 32
% 2.26/2.63 Deletedinuse: 3
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 62860
% 2.26/2.63 Kept: 19085
% 2.26/2.63 Inuse: 419
% 2.26/2.63 Deleted: 33
% 2.26/2.63 Deletedinuse: 4
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying clauses:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 69647
% 2.26/2.63 Kept: 21139
% 2.26/2.63 Inuse: 443
% 2.26/2.63 Deleted: 320
% 2.26/2.63 Deletedinuse: 4
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 90717
% 2.26/2.63 Kept: 23147
% 2.26/2.63 Inuse: 476
% 2.26/2.63 Deleted: 336
% 2.26/2.63 Deletedinuse: 18
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 96528
% 2.26/2.63 Kept: 25160
% 2.26/2.63 Inuse: 493
% 2.26/2.63 Deleted: 336
% 2.26/2.63 Deletedinuse: 18
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 107391
% 2.26/2.63 Kept: 27581
% 2.26/2.63 Inuse: 535
% 2.26/2.63 Deleted: 338
% 2.26/2.63 Deletedinuse: 18
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Intermediate Status:
% 2.26/2.63 Generated: 128513
% 2.26/2.63 Kept: 29599
% 2.26/2.63 Inuse: 570
% 2.26/2.63 Deleted: 338
% 2.26/2.63 Deletedinuse: 18
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63 Resimplifying inuse:
% 2.26/2.63 Done
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 Bliksems!, er is een bewijs:
% 2.26/2.63 % SZS status Unsatisfiable
% 2.26/2.63 % SZS output start Refutation
% 2.26/2.63
% 2.26/2.63 clause( 13, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 2.26/2.63 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 17, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X )
% 2.26/2.63 ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 22, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 25, [ =( X, 'v_s_H' ), 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( X
% 2.26/2.63 ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 26, [ ~( =( 'v_Z_H'( X ), X ) ), =( X, 'v_s_H' ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 83, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X )
% 2.26/2.63 ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 852, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), ~( =( 'v_Z_H'( X
% 2.26/2.63 ), X ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 1656, [ ~( =( 'v_s_H', X ) ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 2.26/2.63 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 1688, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ),
% 2.26/2.63 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( X ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 1690, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'(
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 1703, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'(
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 1747, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'( 'v_Z_H'(
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 30980, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), =( 'v_Z_H'( X
% 2.26/2.63 ), Y ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', Y ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 31024, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), =( 'v_Z_H'( X
% 2.26/2.63 ), X ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 31025, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 2.26/2.63 .
% 2.26/2.63 clause( 31037, [] )
% 2.26/2.63 .
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 % SZS output end Refutation
% 2.26/2.63 found a proof!
% 2.26/2.63
% 2.26/2.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.26/2.63
% 2.26/2.63 initialclauses(
% 2.26/2.63 [ clause( 31039, [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y
% 2.26/2.63 , Z, X ) ) ] )
% 2.26/2.63 , clause( 31040, [ 'c_Natural_Oevalc'( X,
% 2.26/2.63 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( Y, X, Z, T ), T ),
% 2.26/2.63 ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( Y, X ), Z, T ) ) ] )
% 2.26/2.63 , clause( 31041, [ 'c_Natural_Oevalc'( X, Y,
% 2.26/2.63 'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( X, Z, Y, T ) ), ~(
% 2.26/2.63 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Z ), Y, T ) ) ] )
% 2.26/2.63 , clause( 31042, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U
% 2.26/2.63 ), ~( 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T
% 2.26/2.63 , W ) ) ] )
% 2.26/2.63 , clause( 31043, [ 'c_Natural_Oevaln'( X, Y,
% 2.26/2.63 'c_Natural_Osko__Natural__Xeval__eq__1__1'( X, Y, Z ), Z ), ~(
% 2.26/2.63 'c_Natural_Oevalc'( X, Y, Z ) ) ] )
% 2.26/2.63 , clause( 31044, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z
% 2.26/2.63 , T ) ) ), =( Y, T ) ] )
% 2.26/2.63 , clause( 31045, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z
% 2.26/2.63 , T ) ) ), =( X, Z ) ] )
% 2.26/2.63 , clause( 31046, [ =( 'c_Code__Evaluation_Otracing'( X, Y, Z ), Y ) ] )
% 2.26/2.63 , clause( 31047, [ 'c_Natural_Oevaln'( X,
% 2.26/2.63 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( Y, X, Z, T, U ), Z
% 2.26/2.63 , U ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( Y, X ), T, Z, U ) ) ]
% 2.26/2.63 )
% 2.26/2.63 , clause( 31048, [ 'c_Natural_Oevaln'( X, Y, Z,
% 2.26/2.63 'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( X, T, Z, Y, U ) ),
% 2.26/2.63 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, T ), Y, Z, U ) ) ] )
% 2.26/2.63 , clause( 31049, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ] )
% 2.26/2.63 , clause( 31050, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) )
% 2.26/2.63 ] )
% 2.26/2.63 , clause( 31051, [ 'c_Natural_Oevaln'( X, Y,
% 2.26/2.63 'c_Natural_Osko__Natural__Xevalc__evaln__1__1'( X, Y, Z ), Z ), ~(
% 2.26/2.63 'c_Natural_Oevalc'( X, Y, Z ) ) ] )
% 2.26/2.63 , clause( 31052, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) )
% 2.26/2.63 ] )
% 2.26/2.63 , clause( 31053, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 2.26/2.63 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 2.26/2.63 , clause( 31054, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ] )
% 2.26/2.63 , clause( 31055, [ ~( =(
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1',
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' ) ), ~(
% 2.26/2.63 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 2.26/2.63 , clause( 31056, [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ]
% 2.26/2.63 )
% 2.26/2.63 , clause( 31057, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X )
% 2.26/2.63 , X ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 2.26/2.63 , clause( 31058, [ =( 'c_Code__Evaluation_Otracing'( 'v_s', 'v_x', 't_a' )
% 2.26/2.63 , 'v_x' ) ] )
% 2.26/2.63 , clause( 31059, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ),
% 2.26/2.63 ~( 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 2.26/2.63 )
% 2.26/2.63 , clause( 31060, [ ~( =(
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1',
% 2.26/2.63 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~(
% 2.26/2.63 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 2.26/2.63 , clause( 31061, [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y
% 2.26/2.63 , X ) ) ] )
% 2.26/2.63 , clause( 31062, [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X
% 2.26/2.63 , Y, T, Z ) ) ] )
% 2.26/2.63 , clause( 31063, [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X
% 2.26/2.63 , Y, T, Z ) ) ] )
% 2.26/2.63 , clause( 31064, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 2.26/2.63 , clause( 31065, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ) ) ] )
% 2.26/2.63 , clause( 31066, [ 'c_Natural_Oevalc'( 'v_c', hAPP( hAPP( 'v_s', 'v_Z' ),
% 2.26/2.63 'v_s_H' ), 'v_t' ) ] )
% 2.26/2.63 , clause( 31067, [ =( X, 'v_s_H' ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 2.26/2.63 'v_Z_H'( X ) ) ] )
% 2.26/2.63 , clause( 31068, [ ~( =( X, 'v_Z_H'( X ) ) ), =( X, 'v_s_H' ) ] )
% 2.26/2.63 ] ).
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 subsumption(
% 2.26/2.63 clause( 13, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 2.26/2.63 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 2.26/2.63 , clause( 31053, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 2.26/2.63 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 2.26/2.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.26/2.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 subsumption(
% 2.26/2.63 clause( 17, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X )
% 2.26/2.63 ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 2.26/2.63 , clause( 31057, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X )
% 2.26/2.63 , X ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 2.26/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.26/2.63 1 )] ) ).
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 subsumption(
% 2.26/2.63 clause( 22, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 2.26/2.63 , clause( 31064, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 2.26/2.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 subsumption(
% 2.26/2.63 clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ) ) ] )
% 2.26/2.63 , clause( 31065, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ) ) ] )
% 2.26/2.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 subsumption(
% 2.26/2.63 clause( 25, [ =( X, 'v_s_H' ), 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( X
% 2.26/2.63 ) ) ] )
% 2.26/2.63 , clause( 31067, [ =( X, 'v_s_H' ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 2.26/2.63 'v_Z_H'( X ) ) ] )
% 2.26/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.26/2.63 1 )] ) ).
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 eqswap(
% 2.26/2.63 clause( 31145, [ ~( =( 'v_Z_H'( X ), X ) ), =( X, 'v_s_H' ) ] )
% 2.26/2.63 , clause( 31068, [ ~( =( X, 'v_Z_H'( X ) ) ), =( X, 'v_s_H' ) ] )
% 2.26/2.63 , 0, substitution( 0, [ :=( X, X )] )).
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 subsumption(
% 2.26/2.63 clause( 26, [ ~( =( 'v_Z_H'( X ), X ) ), =( X, 'v_s_H' ) ] )
% 2.26/2.63 , clause( 31145, [ ~( =( 'v_Z_H'( X ), X ) ), =( X, 'v_s_H' ) ] )
% 2.26/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.26/2.63 1 )] ) ).
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 resolution(
% 2.26/2.63 clause( 31149, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ),
% 2.26/2.63 X ) ) ] )
% 2.26/2.63 , clause( 17, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X
% 2.26/2.63 ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 2.26/2.63 , 1, clause( 22, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 2.26/2.63 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 2.26/2.63
% 2.26/2.63
% 2.26/2.63 subsumption(
% 2.26/2.63 clause( 83, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X )
% 13.92/14.31 ) ] )
% 13.92/14.31 , clause( 31149, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X )
% 13.92/14.31 , X ) ) ] )
% 13.92/14.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.92/14.31
% 13.92/14.31
% 13.92/14.31 eqswap(
% 13.92/14.31 clause( 31152, [ =( 'v_s_H', X ), ~( =( 'v_Z_H'( X ), X ) ) ] )
% 13.92/14.31 , clause( 26, [ ~( =( 'v_Z_H'( X ), X ) ), =( X, 'v_s_H' ) ] )
% 13.92/14.31 , 1, substitution( 0, [ :=( X, X )] )).
% 13.92/14.31
% 13.92/14.31
% 13.92/14.31 eqswap(
% 13.92/14.31 clause( 31153, [ ~( =( X, 'v_Z_H'( X ) ) ), =( 'v_s_H', X ) ] )
% 13.92/14.31 , clause( 31152, [ =( 'v_s_H', X ), ~( =( 'v_Z_H'( X ), X ) ) ] )
% 13.92/14.31 , 1, substitution( 0, [ :=( X, X )] )).
% 13.92/14.31
% 13.92/14.31
% 13.92/14.31 paramod(
% 13.92/14.31 clause( 51466, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), ~( =( X,
% 13.92/14.31 'v_Z_H'( X ) ) ) ] )
% 13.92/14.31 , clause( 31153, [ ~( =( X, 'v_Z_H'( X ) ) ), =( 'v_s_H', X ) ] )
% 13.92/14.31 , 1, clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ) ) ] )
% 13.92/14.31 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 13.92/14.31
% 13.92/14.31
% 13.92/14.31 eqswap(
% 13.92/14.31 clause( 51467, [ ~( =( 'v_Z_H'( X ), X ) ), ~( 'c_Natural_Oevalc'( 'v_c',
% 13.92/14.31 'v_Z', X ) ) ] )
% 13.92/14.31 , clause( 51466, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), ~( =( X,
% 13.92/14.31 'v_Z_H'( X ) ) ) ] )
% 13.92/14.31 , 1, substitution( 0, [ :=( X, X )] )).
% 13.92/14.31
% 13.92/14.31
% 13.92/14.31 subsumption(
% 13.92/14.31 clause( 852, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), ~( =( 'v_Z_H'( X
% 13.92/14.31 ), X ) ) ] )
% 13.92/14.31 , clause( 51467, [ ~( =( 'v_Z_H'( X ), X ) ), ~( 'c_Natural_Oevalc'( 'v_c'
% 13.92/14.31 , 'v_Z', X ) ) ] )
% 13.92/14.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 13.92/14.31 0 )] ) ).
% 13.92/14.31
% 13.92/14.31
% 13.92/14.31 eqswap(
% 13.92/14.31 clause( 51469, [ ~( =( X, 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X
% 13.92/14.31 ) ) ) ] )
% 13.92/14.31 , clause( 83, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X
% 13.92/14.31 ) ) ] )
% 13.92/14.31 , 0, substitution( 0, [ :=( X, X )] )).
% 13.92/14.31
% 13.92/14.31
% 13.92/14.31 paramod(
% 13.92/14.31 clause( 51470, [ ~( =( X, 'v_s_H' ) ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 13.92/14.31 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.92/14.31 , clause( 25, [ =( X, 'v_s_H' ), 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'(
% 13.92/14.31 X ) ) ] )
% 13.92/14.31 , 0, clause( 51469, [ ~( =( X,
% 13.92/14.31 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.92/14.31 , 0, 3, substitution( 0, [ :=( X,
% 13.92/14.31 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) )] ), substitution( 1
% 13.96/14.31 , [ :=( X, X )] )).
% 13.96/14.31
% 13.96/14.31
% 13.96/14.31 eqswap(
% 13.96/14.31 clause( 51715, [ ~( =( 'v_s_H', X ) ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 13.96/14.31 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.96/14.31 , clause( 51470, [ ~( =( X, 'v_s_H' ) ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 13.96/14.31 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.96/14.31 , 0, substitution( 0, [ :=( X, X )] )).
% 13.96/14.31
% 13.96/14.31
% 13.96/14.31 subsumption(
% 13.96/14.31 clause( 1656, [ ~( =( 'v_s_H', X ) ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 13.96/14.31 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.96/14.31 , clause( 51715, [ ~( =( 'v_s_H', X ) ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 13.96/14.31 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.96/14.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 13.96/14.31 1 )] ) ).
% 13.96/14.31
% 13.96/14.31
% 13.96/14.31 eqswap(
% 13.96/14.31 clause( 52004, [ =( 'v_s_H', X ), 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'(
% 13.96/14.31 X ) ) ] )
% 13.96/14.31 , clause( 25, [ =( X, 'v_s_H' ), 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'(
% 13.96/14.31 X ) ) ] )
% 13.96/14.31 , 0, substitution( 0, [ :=( X, X )] )).
% 13.96/14.31
% 13.96/14.31
% 13.96/14.31 paramod(
% 13.96/14.31 clause( 52005, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ),
% 13.96/14.31 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( X ) ) ] )
% 13.96/14.31 , clause( 52004, [ =( 'v_s_H', X ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 13.96/14.31 'v_Z_H'( X ) ) ] )
% 13.96/14.31 , 0, clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ) ) ] )
% 13.96/14.31 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 13.96/14.31
% 13.96/14.31
% 13.96/14.31 subsumption(
% 13.96/14.31 clause( 1688, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ),
% 13.96/14.31 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( X ) ) ] )
% 13.96/14.31 , clause( 52005, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ),
% 13.96/14.31 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( X ) ) ] )
% 13.96/14.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 13.96/14.31 1 )] ) ).
% 13.96/14.31
% 13.96/14.31
% 13.96/14.31 eqswap(
% 13.96/14.31 clause( 52006, [ ~( =( X, 'v_s_H' ) ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 13.96/14.31 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.96/14.31 , clause( 1656, [ ~( =( 'v_s_H', X ) ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 13.96/14.31 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.96/14.31 , 0, substitution( 0, [ :=( X, X )] )).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 eqrefl(
% 13.96/14.32 clause( 52007, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ] )
% 13.96/14.32 , clause( 52006, [ ~( =( X, 'v_s_H' ) ), 'c_Natural_Oevalc'( 'v_c', 'v_Z',
% 13.96/14.32 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ) ) ) ] )
% 13.96/14.32 , 0, substitution( 0, [ :=( X, 'v_s_H' )] )).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 subsumption(
% 13.96/14.32 clause( 1690, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ] )
% 13.96/14.32 , clause( 52007, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ] )
% 13.96/14.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 paramod(
% 13.96/14.32 clause( 52012, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ),
% 13.96/14.32 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ] )
% 13.96/14.32 , clause( 25, [ =( X, 'v_s_H' ), 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'(
% 13.96/14.32 X ) ) ] )
% 13.96/14.32 , 0, clause( 1690, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ] )
% 13.96/14.32 , 0, 3, substitution( 0, [ :=( X, 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) )] ),
% 13.96/14.32 substitution( 1, [] )).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 resolution(
% 13.96/14.32 clause( 52988, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ] )
% 13.96/14.32 , clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ) ) ] )
% 13.96/14.32 , 0, clause( 52012, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ),
% 13.96/14.32 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ] )
% 13.96/14.32 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 subsumption(
% 13.96/14.32 clause( 1703, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ] )
% 13.96/14.32 , clause( 52988, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ] )
% 13.96/14.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 paramod(
% 13.96/14.32 clause( 52993, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ),
% 13.96/14.32 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ) ] )
% 13.96/14.32 , clause( 25, [ =( X, 'v_s_H' ), 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'(
% 13.96/14.32 X ) ) ] )
% 13.96/14.32 , 0, clause( 1703, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ] )
% 13.96/14.32 , 0, 3, substitution( 0, [ :=( X, 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) )] ),
% 13.96/14.32 substitution( 1, [] )).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 resolution(
% 13.96/14.32 clause( 54082, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) )
% 13.96/14.32 ] )
% 13.96/14.32 , clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ) ) ] )
% 13.96/14.32 , 0, clause( 52993, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_s_H' ),
% 13.96/14.32 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ) ] )
% 13.96/14.32 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 subsumption(
% 13.96/14.32 clause( 1747, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) ) ] )
% 13.96/14.32 , clause( 54082, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) )
% 13.96/14.32 ] )
% 13.96/14.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 resolution(
% 13.96/14.32 clause( 54083, [ =( 'v_Z_H'( X ), Y ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z'
% 13.96/14.32 , Y ) ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 13.96/14.32 , clause( 13, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 13.96/14.32 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 13.96/14.32 , 1, clause( 1688, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ),
% 13.96/14.32 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( X ) ) ] )
% 13.96/14.32 , 1, substitution( 0, [ :=( X, 'v_Z_H'( X ) ), :=( Y, Y ), :=( Z, 'v_c' ),
% 13.96/14.32 :=( T, 'v_Z' )] ), substitution( 1, [ :=( X, X )] )).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 subsumption(
% 13.96/14.32 clause( 30980, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), =( 'v_Z_H'( X
% 13.96/14.32 ), Y ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', Y ) ) ] )
% 13.96/14.32 , clause( 54083, [ =( 'v_Z_H'( X ), Y ), ~( 'c_Natural_Oevalc'( 'v_c',
% 13.96/14.32 'v_Z', Y ) ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 13.96/14.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 13.96/14.32 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 factor(
% 13.96/14.32 clause( 54088, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), =( 'v_Z_H'( X
% 13.96/14.32 ), X ) ] )
% 13.96/14.32 , clause( 30980, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), =( 'v_Z_H'(
% 13.96/14.32 X ), Y ), ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', Y ) ) ] )
% 13.96/14.32 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 subsumption(
% 13.96/14.32 clause( 31024, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), =( 'v_Z_H'( X
% 13.96/14.32 ), X ) ] )
% 13.96/14.32 , clause( 54088, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), =( 'v_Z_H'(
% 13.96/14.32 X ), X ) ] )
% 13.96/14.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 13.96/14.32 1 )] ) ).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 resolution(
% 13.96/14.32 clause( 54092, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), ~(
% 13.96/14.32 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 13.96/14.32 , clause( 852, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), ~( =( 'v_Z_H'(
% 13.96/14.32 X ), X ) ) ] )
% 13.96/14.32 , 1, clause( 31024, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), =(
% 13.96/14.32 'v_Z_H'( X ), X ) ] )
% 13.96/14.32 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 13.96/14.32 ).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 factor(
% 13.96/14.32 clause( 54093, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 13.96/14.32 , clause( 54092, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ), ~(
% 13.96/14.32 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 13.96/14.32 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 subsumption(
% 13.96/14.32 clause( 31025, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 13.96/14.32 , clause( 54093, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 13.96/14.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 resolution(
% 13.96/14.32 clause( 54094, [] )
% 13.96/14.32 , clause( 31025, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 13.96/14.32 , 0, clause( 1747, [ 'c_Natural_Oevalc'( 'v_c', 'v_Z', 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_Z_H'( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) )
% 13.96/14.32 ] )
% 13.96/14.32 , 0, substitution( 0, [ :=( X, 'v_Z_H'( 'v_Z_H'( 'v_Z_H'(
% 13.96/14.32 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( 'v_s_H' ) ) ) ) )] ),
% 13.96/14.32 substitution( 1, [] )).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 subsumption(
% 13.96/14.32 clause( 31037, [] )
% 13.96/14.32 , clause( 54094, [] )
% 13.96/14.32 , substitution( 0, [] ), permutation( 0, [] ) ).
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 end.
% 13.96/14.32
% 13.96/14.32 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 13.96/14.32
% 13.96/14.32 Memory use:
% 13.96/14.32
% 13.96/14.32 space for terms: 495050
% 13.96/14.32 space for clauses: 1204372
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 clauses generated: 143747
% 13.96/14.32 clauses kept: 31038
% 13.96/14.32 clauses selected: 604
% 13.96/14.32 clauses deleted: 341
% 13.96/14.32 clauses inuse deleted: 18
% 13.96/14.32
% 13.96/14.32 subsentry: 85564959
% 13.96/14.32 literals s-matched: 295741
% 13.96/14.32 literals matched: 272518
% 13.96/14.32 full subsumption: 32402
% 13.96/14.32
% 13.96/14.32 checksum: 112741740
% 13.96/14.32
% 13.96/14.32
% 13.96/14.32 Bliksem ended
%------------------------------------------------------------------------------