%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM857+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 : Mon Jul 18 06:27:09 EDT 2022
% Result : Theorem 3.86s 4.23s
% Output : Refutation 3.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : NUM857+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jul 7 00:47:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.47/2.85 *** allocated 10000 integers for termspace/termends
% 2.47/2.85 *** allocated 10000 integers for clauses
% 2.47/2.85 *** allocated 10000 integers for justifications
% 2.47/2.85 Bliksem 1.12
% 2.47/2.85
% 2.47/2.85
% 2.47/2.85 Automatic Strategy Selection
% 2.47/2.85
% 2.47/2.85
% 2.47/2.85 Clauses:
% 2.47/2.85
% 2.47/2.85 { ! geq( vmul( vd526, vd529 ), vmul( vd527, vd530 ) ) }.
% 2.47/2.85 { geq( vd529, vd530 ) }.
% 2.47/2.85 { geq( vd526, vd527 ) }.
% 2.47/2.85 { ! greater( Z, T ), ! geq( X, Y ), greater( vmul( X, Z ), vmul( Y, T ) ) }
% 2.47/2.85 .
% 2.47/2.85 { ! geq( Z, T ), ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, T ) ) }
% 2.47/2.85 .
% 2.47/2.85 { ! greater( Z, T ), ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, T )
% 2.47/2.85 ) }.
% 2.47/2.85 { ! less( vmul( X, Z ), vmul( Y, Z ) ), less( X, Y ) }.
% 2.47/2.85 { ! vmul( X, Z ) = vmul( Y, Z ), X = Y }.
% 2.47/2.85 { ! greater( vmul( X, Z ), vmul( Y, Z ) ), greater( X, Y ) }.
% 2.47/2.85 { ! less( X, Y ), less( vmul( X, Z ), vmul( Y, Z ) ) }.
% 2.47/2.85 { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 2.47/2.85 { ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, Z ) ) }.
% 2.47/2.85 { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z ) ) }.
% 2.47/2.85 { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 2.47/2.85 { vmul( X, Y ) = vmul( Y, X ) }.
% 2.47/2.85 { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 2.47/2.85 { vmul( v1, X ) = X }.
% 2.47/2.85 { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 2.47/2.85 { vmul( X, v1 ) = X }.
% 2.47/2.85 { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 2.47/2.85 { ! greater( X, Y ), geq( X, vplus( Y, v1 ) ) }.
% 2.47/2.85 { geq( X, v1 ) }.
% 2.47/2.85 { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X, Z ), vplus( Y, T ) ) }.
% 2.47/2.85 { ! greater( Z, T ), ! geq( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 2.47/2.85 }.
% 2.47/2.85 { ! geq( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 2.47/2.85 }.
% 2.47/2.85 { ! greater( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T
% 2.47/2.85 ) ) }.
% 2.47/2.85 { ! less( vplus( X, Z ), vplus( Y, Z ) ), less( X, Y ) }.
% 2.47/2.85 { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 2.47/2.85 { ! greater( vplus( X, Z ), vplus( Y, Z ) ), greater( X, Y ) }.
% 2.47/2.85 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 2.47/2.85 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 2.47/2.85 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 2.47/2.85 { greater( vplus( X, Y ), X ) }.
% 2.47/2.85 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 2.47/2.85 { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 2.47/2.85 { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 2.47/2.85 { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 2.47/2.85 { ! leq( X, Y ), geq( Y, X ) }.
% 2.47/2.85 { ! geq( X, Y ), leq( Y, X ) }.
% 2.47/2.85 { ! leq( Y, X ), less( Y, X ), Y = X }.
% 2.47/2.85 { ! less( Y, X ), leq( Y, X ) }.
% 2.47/2.85 { ! Y = X, leq( Y, X ) }.
% 2.47/2.85 { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 2.47/2.85 { ! greater( Y, X ), geq( Y, X ) }.
% 2.47/2.85 { ! Y = X, geq( Y, X ) }.
% 2.47/2.85 { ! less( X, Y ), greater( Y, X ) }.
% 2.47/2.85 { ! greater( X, Y ), less( Y, X ) }.
% 2.47/2.85 { X = Y, greater( X, Y ), less( X, Y ) }.
% 2.47/2.85 { ! X = Y, ! less( X, Y ) }.
% 2.47/2.85 { ! greater( X, Y ), ! less( X, Y ) }.
% 2.47/2.85 { ! X = Y, ! greater( X, Y ) }.
% 2.47/2.85 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 2.47/2.85 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 2.47/2.85 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 2.47/2.85 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 2.47/2.85 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 2.47/2.85 { ! X = Y, ! Y = vplus( X, Z ) }.
% 2.47/2.85 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 2.47/2.85 { ! X = Y, ! X = vplus( Y, Z ) }.
% 2.47/2.85 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 2.47/2.85 { ! Y = vplus( X, Y ) }.
% 2.47/2.85 { vplus( Y, X ) = vplus( X, Y ) }.
% 2.47/2.85 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 2.47/2.85 { vplus( v1, X ) = vsucc( X ) }.
% 2.47/2.85 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 2.47/2.85 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 2.47/2.85 { vplus( X, v1 ) = vsucc( X ) }.
% 2.47/2.85 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 2.47/2.85 { ! vsucc( X ) = X }.
% 2.47/2.85 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 2.47/2.85 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 2.47/2.85 { ! vsucc( X ) = v1 }.
% 2.47/2.85
% 2.47/2.85 percentage equality = 0.367647, percentage horn = 0.929577
% 2.47/2.85 This is a problem with some equality
% 2.47/2.85
% 2.47/2.85
% 2.47/2.85
% 2.47/2.85 Options Used:
% 2.47/2.85
% 2.47/2.85 useres = 1
% 2.47/2.85 useparamod = 1
% 2.47/2.85 useeqrefl = 1
% 2.47/2.85 useeqfact = 1
% 2.47/2.85 usefactor = 1
% 2.47/2.85 usesimpsplitting = 0
% 2.47/2.85 usesimpdemod = 5
% 2.47/2.85 usesimpres = 3
% 2.47/2.85
% 2.47/2.85 resimpinuse = 1000
% 2.47/2.85 resimpclauses = 20000
% 2.47/2.85 substype = eqrewr
% 2.47/2.85 backwardsubs = 1
% 2.47/2.85 selectoldest = 5
% 2.47/2.85
% 2.47/2.85 litorderings [0] = split
% 2.47/2.85 litorderings [1] = extend the termordering, first sorting on arguments
% 2.47/2.85
% 2.47/2.85 termordering = kbo
% 2.47/2.85
% 2.47/2.85 litapriori = 0
% 2.47/2.85 termapriori = 1
% 3.86/4.23 litaposteriori = 0
% 3.86/4.23 termaposteriori = 0
% 3.86/4.23 demodaposteriori = 0
% 3.86/4.23 ordereqreflfact = 0
% 3.86/4.23
% 3.86/4.23 litselect = negord
% 3.86/4.23
% 3.86/4.23 maxweight = 15
% 3.86/4.23 maxdepth = 30000
% 3.86/4.23 maxlength = 115
% 3.86/4.23 maxnrvars = 195
% 3.86/4.23 excuselevel = 1
% 3.86/4.23 increasemaxweight = 1
% 3.86/4.23
% 3.86/4.23 maxselected = 10000000
% 3.86/4.23 maxnrclauses = 10000000
% 3.86/4.23
% 3.86/4.23 showgenerated = 0
% 3.86/4.23 showkept = 0
% 3.86/4.23 showselected = 0
% 3.86/4.23 showdeleted = 0
% 3.86/4.23 showresimp = 1
% 3.86/4.23 showstatus = 2000
% 3.86/4.23
% 3.86/4.23 prologoutput = 0
% 3.86/4.23 nrgoals = 5000000
% 3.86/4.23 totalproof = 1
% 3.86/4.23
% 3.86/4.23 Symbols occurring in the translation:
% 3.86/4.23
% 3.86/4.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.86/4.23 . [1, 2] (w:1, o:135, a:1, s:1, b:0),
% 3.86/4.23 ! [4, 1] (w:0, o:128, a:1, s:1, b:0),
% 3.86/4.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.86/4.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.86/4.23 vd526 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 3.86/4.23 vd529 [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 3.86/4.23 vmul [37, 2] (w:1, o:159, a:1, s:1, b:0),
% 3.86/4.23 vd527 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 3.86/4.23 vd530 [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.86/4.23 geq [40, 2] (w:1, o:160, a:1, s:1, b:0),
% 3.86/4.23 greater [45, 2] (w:1, o:161, a:1, s:1, b:0),
% 3.86/4.23 less [53, 2] (w:1, o:162, a:1, s:1, b:0),
% 3.86/4.23 vplus [73, 2] (w:1, o:163, a:1, s:1, b:0),
% 3.86/4.23 vsucc [78, 1] (w:1, o:133, a:1, s:1, b:0),
% 3.86/4.23 v1 [80, 0] (w:1, o:118, a:1, s:1, b:0),
% 3.86/4.23 leq [85, 2] (w:1, o:164, a:1, s:1, b:0),
% 3.86/4.23 vskolem2 [158, 1] (w:1, o:134, a:1, s:1, b:0),
% 3.86/4.23 skol1 [165, 2] (w:1, o:165, a:1, s:1, b:1),
% 3.86/4.23 skol2 [166, 2] (w:1, o:166, a:1, s:1, b:1),
% 3.86/4.23 skol3 [167, 2] (w:1, o:167, a:1, s:1, b:1),
% 3.86/4.23 skol4 [168, 2] (w:1, o:168, a:1, s:1, b:1).
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Starting Search:
% 3.86/4.23
% 3.86/4.23 *** allocated 15000 integers for clauses
% 3.86/4.23 *** allocated 22500 integers for clauses
% 3.86/4.23 *** allocated 33750 integers for clauses
% 3.86/4.23 *** allocated 50625 integers for clauses
% 3.86/4.23 *** allocated 15000 integers for termspace/termends
% 3.86/4.23 *** allocated 75937 integers for clauses
% 3.86/4.23 *** allocated 22500 integers for termspace/termends
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 *** allocated 113905 integers for clauses
% 3.86/4.23 *** allocated 33750 integers for termspace/termends
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 5433
% 3.86/4.23 Kept: 2138
% 3.86/4.23 Inuse: 159
% 3.86/4.23 Deleted: 6
% 3.86/4.23 Deletedinuse: 4
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 *** allocated 170857 integers for clauses
% 3.86/4.23 *** allocated 50625 integers for termspace/termends
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 *** allocated 256285 integers for clauses
% 3.86/4.23 *** allocated 75937 integers for termspace/termends
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 10320
% 3.86/4.23 Kept: 4146
% 3.86/4.23 Inuse: 202
% 3.86/4.23 Deleted: 12
% 3.86/4.23 Deletedinuse: 10
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 *** allocated 384427 integers for clauses
% 3.86/4.23 *** allocated 113905 integers for termspace/termends
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 15953
% 3.86/4.23 Kept: 6177
% 3.86/4.23 Inuse: 239
% 3.86/4.23 Deleted: 12
% 3.86/4.23 Deletedinuse: 10
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 22273
% 3.86/4.23 Kept: 8197
% 3.86/4.23 Inuse: 298
% 3.86/4.23 Deleted: 12
% 3.86/4.23 Deletedinuse: 10
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 *** allocated 576640 integers for clauses
% 3.86/4.23 *** allocated 170857 integers for termspace/termends
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 27522
% 3.86/4.23 Kept: 10228
% 3.86/4.23 Inuse: 347
% 3.86/4.23 Deleted: 18
% 3.86/4.23 Deletedinuse: 10
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 35014
% 3.86/4.23 Kept: 12248
% 3.86/4.23 Inuse: 400
% 3.86/4.23 Deleted: 18
% 3.86/4.23 Deletedinuse: 10
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 *** allocated 864960 integers for clauses
% 3.86/4.23 *** allocated 256285 integers for termspace/termends
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 42695
% 3.86/4.23 Kept: 14265
% 3.86/4.23 Inuse: 462
% 3.86/4.23 Deleted: 55
% 3.86/4.23 Deletedinuse: 44
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 49879
% 3.86/4.23 Kept: 16285
% 3.86/4.23 Inuse: 523
% 3.86/4.23 Deleted: 65
% 3.86/4.23 Deletedinuse: 52
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 60727
% 3.86/4.23 Kept: 18317
% 3.86/4.23 Inuse: 570
% 3.86/4.23 Deleted: 67
% 3.86/4.23 Deletedinuse: 52
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 *** allocated 1297440 integers for clauses
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 Resimplifying clauses:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 *** allocated 384427 integers for termspace/termends
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 71950
% 3.86/4.23 Kept: 20339
% 3.86/4.23 Inuse: 625
% 3.86/4.23 Deleted: 3011
% 3.86/4.23 Deletedinuse: 52
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Intermediate Status:
% 3.86/4.23 Generated: 82162
% 3.86/4.23 Kept: 22340
% 3.86/4.23 Inuse: 692
% 3.86/4.23 Deleted: 3011
% 3.86/4.23 Deletedinuse: 52
% 3.86/4.23
% 3.86/4.23 Resimplifying inuse:
% 3.86/4.23 Done
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Bliksems!, er is een bewijs:
% 3.86/4.23 % SZS status Theorem
% 3.86/4.23 % SZS output start Refutation
% 3.86/4.23
% 3.86/4.23 (0) {G0,W7,D3,L1,V0,M1} I { ! geq( vmul( vd526, vd529 ), vmul( vd527, vd530
% 3.86/4.23 ) ) }.
% 3.86/4.23 (1) {G0,W3,D2,L1,V0,M1} I { geq( vd529, vd530 ) }.
% 3.86/4.23 (2) {G0,W3,D2,L1,V0,M1} I { geq( vd526, vd527 ) }.
% 3.86/4.23 (3) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! geq( X, Y ), greater(
% 3.86/4.23 vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 (4) {G0,W13,D3,L3,V4,M3} I { ! geq( Z, T ), ! greater( X, Y ), greater(
% 3.86/4.23 vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 (14) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 3.86/4.23 (43) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 3.86/4.23 (44) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.86/4.23 (45) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X ) }.
% 3.86/4.23 (47) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y ) }.
% 3.86/4.23 (50) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 3.86/4.23 (74) {G1,W3,D2,L1,V1,M1} Q(44) { geq( X, X ) }.
% 3.86/4.23 (142) {G1,W7,D3,L1,V0,M1} R(44,0) { ! vmul( vd527, vd530 ) ==> vmul( vd526
% 3.86/4.23 , vd529 ) }.
% 3.86/4.23 (184) {G1,W13,D3,L3,V4,M3} R(43,4) { geq( vmul( X, Y ), vmul( Z, T ) ), !
% 3.86/4.23 geq( Y, T ), ! greater( X, Z ) }.
% 3.86/4.23 (186) {G1,W13,D3,L3,V4,M3} R(43,3) { geq( vmul( X, Y ), vmul( Z, T ) ), !
% 3.86/4.23 greater( Y, T ), ! geq( X, Z ) }.
% 3.86/4.23 (406) {G1,W7,D3,L1,V2,M1} R(14,50) { ! greater( vmul( X, Y ), vmul( Y, X )
% 3.86/4.23 ) }.
% 3.86/4.23 (727) {G2,W6,D2,L2,V2,M2} R(406,4) { ! geq( X, Y ), ! greater( Y, X ) }.
% 3.86/4.23 (755) {G3,W3,D2,L1,V0,M1} R(727,1) { ! greater( vd530, vd529 ) }.
% 3.86/4.23 (756) {G3,W3,D2,L1,V0,M1} R(727,2) { ! greater( vd527, vd526 ) }.
% 3.86/4.23 (818) {G4,W3,D2,L1,V0,M1} R(755,45) { ! less( vd529, vd530 ) }.
% 3.86/4.23 (879) {G4,W3,D2,L1,V0,M1} R(756,45) { ! less( vd526, vd527 ) }.
% 3.86/4.23 (23385) {G2,W3,D2,L1,V0,M1} R(184,0);r(1) { ! greater( vd526, vd527 ) }.
% 3.86/4.23 (23393) {G5,W3,D2,L1,V0,M1} R(23385,47);r(879) { vd527 ==> vd526 }.
% 3.86/4.23 (23505) {G6,W3,D2,L1,V0,M1} R(186,0);d(23393);r(74) { ! greater( vd529,
% 3.86/4.23 vd530 ) }.
% 3.86/4.23 (23511) {G7,W3,D2,L1,V0,M1} R(23505,47);r(818) { vd530 ==> vd529 }.
% 3.86/4.23 (23518) {G8,W0,D0,L0,V0,M0} P(23511,142);d(23393);q { }.
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 % SZS output end Refutation
% 3.86/4.23 found a proof!
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Unprocessed initial clauses:
% 3.86/4.23
% 3.86/4.23 (23520) {G0,W7,D3,L1,V0,M1} { ! geq( vmul( vd526, vd529 ), vmul( vd527,
% 3.86/4.23 vd530 ) ) }.
% 3.86/4.23 (23521) {G0,W3,D2,L1,V0,M1} { geq( vd529, vd530 ) }.
% 3.86/4.23 (23522) {G0,W3,D2,L1,V0,M1} { geq( vd526, vd527 ) }.
% 3.86/4.23 (23523) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! geq( X, Y ), greater(
% 3.86/4.23 vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 (23524) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! greater( X, Y ), greater(
% 3.86/4.23 vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 (23525) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y ),
% 3.86/4.23 greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 (23526) {G0,W10,D3,L2,V3,M2} { ! less( vmul( X, Z ), vmul( Y, Z ) ), less
% 3.86/4.23 ( X, Y ) }.
% 3.86/4.23 (23527) {G0,W10,D3,L2,V3,M2} { ! vmul( X, Z ) = vmul( Y, Z ), X = Y }.
% 3.86/4.23 (23528) {G0,W10,D3,L2,V3,M2} { ! greater( vmul( X, Z ), vmul( Y, Z ) ),
% 3.86/4.23 greater( X, Y ) }.
% 3.86/4.23 (23529) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vmul( X, Z ), vmul( Y
% 3.86/4.23 , Z ) ) }.
% 3.86/4.23 (23530) {G0,W10,D3,L2,V3,M2} { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 3.86/4.23 (23531) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vmul( X, Z ),
% 3.86/4.23 vmul( Y, Z ) ) }.
% 3.86/4.23 (23532) {G0,W11,D4,L1,V3,M1} { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y
% 3.86/4.23 , Z ) ) }.
% 3.86/4.23 (23533) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X,
% 3.86/4.23 Y ), vmul( X, Z ) ) }.
% 3.86/4.23 (23534) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 3.86/4.23 (23535) {G0,W10,D4,L1,V2,M1} { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y )
% 3.86/4.23 , Y ) }.
% 3.86/4.23 (23536) {G0,W5,D3,L1,V1,M1} { vmul( v1, X ) = X }.
% 3.86/4.23 (23537) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y )
% 3.86/4.23 , X ) }.
% 3.86/4.23 (23538) {G0,W5,D3,L1,V1,M1} { vmul( X, v1 ) = X }.
% 3.86/4.23 (23539) {G0,W8,D3,L2,V2,M2} { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 3.86/4.23 (23540) {G0,W8,D3,L2,V2,M2} { ! greater( X, Y ), geq( X, vplus( Y, v1 ) )
% 3.86/4.23 }.
% 3.86/4.23 (23541) {G0,W3,D2,L1,V1,M1} { geq( X, v1 ) }.
% 3.86/4.23 (23542) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X
% 3.86/4.23 , Z ), vplus( Y, T ) ) }.
% 3.86/4.23 (23543) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! geq( X, Y ), greater(
% 3.86/4.23 vplus( X, Z ), vplus( Y, T ) ) }.
% 3.86/4.23 (23544) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! greater( X, Y ), greater(
% 3.86/4.23 vplus( X, Z ), vplus( Y, T ) ) }.
% 3.86/4.23 (23545) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y ),
% 3.86/4.23 greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 3.86/4.23 (23546) {G0,W10,D3,L2,V3,M2} { ! less( vplus( X, Z ), vplus( Y, Z ) ),
% 3.86/4.23 less( X, Y ) }.
% 3.86/4.23 (23547) {G0,W10,D3,L2,V3,M2} { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 3.86/4.23 (23548) {G0,W10,D3,L2,V3,M2} { ! greater( vplus( X, Z ), vplus( Y, Z ) ),
% 3.86/4.23 greater( X, Y ) }.
% 3.86/4.23 (23549) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus
% 3.86/4.23 ( Y, Z ) ) }.
% 3.86/4.23 (23550) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 3.86/4.23 (23551) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 3.86/4.23 vplus( Y, Z ) ) }.
% 3.86/4.23 (23552) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 3.86/4.23 (23553) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y )
% 3.86/4.23 }.
% 3.86/4.23 (23554) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 3.86/4.23 }.
% 3.86/4.23 (23555) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 3.86/4.23 }.
% 3.86/4.23 (23556) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 3.86/4.23 }.
% 3.86/4.23 (23557) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 3.86/4.23 (23558) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 3.86/4.23 (23559) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X }.
% 3.86/4.23 (23560) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 3.86/4.23 (23561) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 3.86/4.23 (23562) {G0,W9,D2,L3,V2,M3} { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 3.86/4.23 (23563) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 3.86/4.23 (23564) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 3.86/4.23 (23565) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 3.86/4.23 (23566) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 3.86/4.23 (23567) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 3.86/4.23 (23568) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 3.86/4.23 (23569) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 3.86/4.23 (23570) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 3.86/4.23 (23571) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 3.86/4.23 ) }.
% 3.86/4.23 (23572) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 3.86/4.23 (23573) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X,
% 3.86/4.23 Y ) ) }.
% 3.86/4.23 (23574) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 3.86/4.23 (23575) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 3.86/4.23 vplus( X, skol4( X, Y ) ) }.
% 3.86/4.23 (23576) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 3.86/4.23 (23577) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T )
% 3.86/4.23 }.
% 3.86/4.23 (23578) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 3.86/4.23 (23579) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 3.86/4.23 (23580) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 3.86/4.23 (23581) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 3.86/4.23 (23582) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y
% 3.86/4.23 ) ) }.
% 3.86/4.23 (23583) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 3.86/4.23 (23584) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 3.86/4.23 ( Y, Z ) ) }.
% 3.86/4.23 (23585) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y
% 3.86/4.23 ) ) }.
% 3.86/4.23 (23586) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 3.86/4.23 (23587) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 3.86/4.23 (23588) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 3.86/4.23 (23589) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 3.86/4.23 (23590) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 3.86/4.23 (23591) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Total Proof:
% 3.86/4.23
% 3.86/4.23 subsumption: (0) {G0,W7,D3,L1,V0,M1} I { ! geq( vmul( vd526, vd529 ), vmul
% 3.86/4.23 ( vd527, vd530 ) ) }.
% 3.86/4.23 parent0: (23520) {G0,W7,D3,L1,V0,M1} { ! geq( vmul( vd526, vd529 ), vmul(
% 3.86/4.23 vd527, vd530 ) ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (1) {G0,W3,D2,L1,V0,M1} I { geq( vd529, vd530 ) }.
% 3.86/4.23 parent0: (23521) {G0,W3,D2,L1,V0,M1} { geq( vd529, vd530 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (2) {G0,W3,D2,L1,V0,M1} I { geq( vd526, vd527 ) }.
% 3.86/4.23 parent0: (23522) {G0,W3,D2,L1,V0,M1} { geq( vd526, vd527 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (3) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! geq( X, Y )
% 3.86/4.23 , greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 parent0: (23523) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! geq( X, Y ),
% 3.86/4.23 greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 Z := Z
% 3.86/4.23 T := T
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 1 ==> 1
% 3.86/4.23 2 ==> 2
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (4) {G0,W13,D3,L3,V4,M3} I { ! geq( Z, T ), ! greater( X, Y )
% 3.86/4.23 , greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 parent0: (23524) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! greater( X, Y ),
% 3.86/4.23 greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 Z := Z
% 3.86/4.23 T := T
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 1 ==> 1
% 3.86/4.23 2 ==> 2
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (14) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 3.86/4.23 parent0: (23534) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (43) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X )
% 3.86/4.23 }.
% 3.86/4.23 parent0: (23563) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 1 ==> 1
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (44) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.86/4.23 parent0: (23564) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 1 ==> 1
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (45) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 3.86/4.23 }.
% 3.86/4.23 parent0: (23565) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 1 ==> 1
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (47) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X,
% 3.86/4.23 Y ) }.
% 3.86/4.23 parent0: (23567) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y
% 3.86/4.23 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 1 ==> 1
% 3.86/4.23 2 ==> 2
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (50) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 3.86/4.23 parent0: (23570) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 1 ==> 1
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 eqswap: (23695) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( X, Y ) }.
% 3.86/4.23 parent0[0]: (44) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := Y
% 3.86/4.23 Y := X
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 eqrefl: (23696) {G0,W3,D2,L1,V1,M1} { geq( X, X ) }.
% 3.86/4.23 parent0[0]: (23695) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( X, Y ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := X
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (74) {G1,W3,D2,L1,V1,M1} Q(44) { geq( X, X ) }.
% 3.86/4.23 parent0: (23696) {G0,W3,D2,L1,V1,M1} { geq( X, X ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 eqswap: (23697) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( X, Y ) }.
% 3.86/4.23 parent0[0]: (44) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := Y
% 3.86/4.23 Y := X
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23698) {G1,W7,D3,L1,V0,M1} { ! vmul( vd527, vd530 ) = vmul(
% 3.86/4.23 vd526, vd529 ) }.
% 3.86/4.23 parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! geq( vmul( vd526, vd529 ), vmul(
% 3.86/4.23 vd527, vd530 ) ) }.
% 3.86/4.23 parent1[1]: (23697) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( X, Y ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := vmul( vd526, vd529 )
% 3.86/4.23 Y := vmul( vd527, vd530 )
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (142) {G1,W7,D3,L1,V0,M1} R(44,0) { ! vmul( vd527, vd530 ) ==>
% 3.86/4.23 vmul( vd526, vd529 ) }.
% 3.86/4.23 parent0: (23698) {G1,W7,D3,L1,V0,M1} { ! vmul( vd527, vd530 ) = vmul(
% 3.86/4.23 vd526, vd529 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23700) {G1,W13,D3,L3,V4,M3} { geq( vmul( X, Y ), vmul( Z, T )
% 3.86/4.23 ), ! geq( Y, T ), ! greater( X, Z ) }.
% 3.86/4.23 parent0[0]: (43) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 3.86/4.23 parent1[2]: (4) {G0,W13,D3,L3,V4,M3} I { ! geq( Z, T ), ! greater( X, Y ),
% 3.86/4.23 greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := vmul( Z, T )
% 3.86/4.23 Y := vmul( X, Y )
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Z
% 3.86/4.23 Z := Y
% 3.86/4.23 T := T
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (184) {G1,W13,D3,L3,V4,M3} R(43,4) { geq( vmul( X, Y ), vmul(
% 3.86/4.23 Z, T ) ), ! geq( Y, T ), ! greater( X, Z ) }.
% 3.86/4.23 parent0: (23700) {G1,W13,D3,L3,V4,M3} { geq( vmul( X, Y ), vmul( Z, T ) )
% 3.86/4.23 , ! geq( Y, T ), ! greater( X, Z ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 Z := Z
% 3.86/4.23 T := T
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 1 ==> 1
% 3.86/4.23 2 ==> 2
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23701) {G1,W13,D3,L3,V4,M3} { geq( vmul( X, Y ), vmul( Z, T )
% 3.86/4.23 ), ! greater( Y, T ), ! geq( X, Z ) }.
% 3.86/4.23 parent0[0]: (43) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 3.86/4.23 parent1[2]: (3) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! geq( X, Y ),
% 3.86/4.23 greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := vmul( Z, T )
% 3.86/4.23 Y := vmul( X, Y )
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Z
% 3.86/4.23 Z := Y
% 3.86/4.23 T := T
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (186) {G1,W13,D3,L3,V4,M3} R(43,3) { geq( vmul( X, Y ), vmul(
% 3.86/4.23 Z, T ) ), ! greater( Y, T ), ! geq( X, Z ) }.
% 3.86/4.23 parent0: (23701) {G1,W13,D3,L3,V4,M3} { geq( vmul( X, Y ), vmul( Z, T ) )
% 3.86/4.23 , ! greater( Y, T ), ! geq( X, Z ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 Z := Z
% 3.86/4.23 T := T
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 1 ==> 1
% 3.86/4.23 2 ==> 2
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 eqswap: (23702) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! greater( X, Y ) }.
% 3.86/4.23 parent0[0]: (50) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23703) {G1,W7,D3,L1,V2,M1} { ! greater( vmul( Y, X ), vmul( X
% 3.86/4.23 , Y ) ) }.
% 3.86/4.23 parent0[0]: (23702) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! greater( X, Y ) }.
% 3.86/4.23 parent1[0]: (14) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := vmul( Y, X )
% 3.86/4.23 Y := vmul( X, Y )
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (406) {G1,W7,D3,L1,V2,M1} R(14,50) { ! greater( vmul( X, Y ),
% 3.86/4.23 vmul( Y, X ) ) }.
% 3.86/4.23 parent0: (23703) {G1,W7,D3,L1,V2,M1} { ! greater( vmul( Y, X ), vmul( X, Y
% 3.86/4.23 ) ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := Y
% 3.86/4.23 Y := X
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23704) {G1,W6,D2,L2,V2,M2} { ! geq( Y, X ), ! greater( X, Y )
% 3.86/4.23 }.
% 3.86/4.23 parent0[0]: (406) {G1,W7,D3,L1,V2,M1} R(14,50) { ! greater( vmul( X, Y ),
% 3.86/4.23 vmul( Y, X ) ) }.
% 3.86/4.23 parent1[2]: (4) {G0,W13,D3,L3,V4,M3} I { ! geq( Z, T ), ! greater( X, Y ),
% 3.86/4.23 greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 Z := Y
% 3.86/4.23 T := X
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (727) {G2,W6,D2,L2,V2,M2} R(406,4) { ! geq( X, Y ), ! greater
% 3.86/4.23 ( Y, X ) }.
% 3.86/4.23 parent0: (23704) {G1,W6,D2,L2,V2,M2} { ! geq( Y, X ), ! greater( X, Y )
% 3.86/4.23 }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := Y
% 3.86/4.23 Y := X
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 1 ==> 1
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23705) {G1,W3,D2,L1,V0,M1} { ! greater( vd530, vd529 ) }.
% 3.86/4.23 parent0[0]: (727) {G2,W6,D2,L2,V2,M2} R(406,4) { ! geq( X, Y ), ! greater(
% 3.86/4.23 Y, X ) }.
% 3.86/4.23 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { geq( vd529, vd530 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := vd529
% 3.86/4.23 Y := vd530
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (755) {G3,W3,D2,L1,V0,M1} R(727,1) { ! greater( vd530, vd529 )
% 3.86/4.23 }.
% 3.86/4.23 parent0: (23705) {G1,W3,D2,L1,V0,M1} { ! greater( vd530, vd529 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23706) {G1,W3,D2,L1,V0,M1} { ! greater( vd527, vd526 ) }.
% 3.86/4.23 parent0[0]: (727) {G2,W6,D2,L2,V2,M2} R(406,4) { ! geq( X, Y ), ! greater(
% 3.86/4.23 Y, X ) }.
% 3.86/4.23 parent1[0]: (2) {G0,W3,D2,L1,V0,M1} I { geq( vd526, vd527 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := vd526
% 3.86/4.23 Y := vd527
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (756) {G3,W3,D2,L1,V0,M1} R(727,2) { ! greater( vd527, vd526 )
% 3.86/4.23 }.
% 3.86/4.23 parent0: (23706) {G1,W3,D2,L1,V0,M1} { ! greater( vd527, vd526 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23707) {G1,W3,D2,L1,V0,M1} { ! less( vd529, vd530 ) }.
% 3.86/4.23 parent0[0]: (755) {G3,W3,D2,L1,V0,M1} R(727,1) { ! greater( vd530, vd529 )
% 3.86/4.23 }.
% 3.86/4.23 parent1[1]: (45) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 3.86/4.23 }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := vd529
% 3.86/4.23 Y := vd530
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (818) {G4,W3,D2,L1,V0,M1} R(755,45) { ! less( vd529, vd530 )
% 3.86/4.23 }.
% 3.86/4.23 parent0: (23707) {G1,W3,D2,L1,V0,M1} { ! less( vd529, vd530 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23708) {G1,W3,D2,L1,V0,M1} { ! less( vd526, vd527 ) }.
% 3.86/4.23 parent0[0]: (756) {G3,W3,D2,L1,V0,M1} R(727,2) { ! greater( vd527, vd526 )
% 3.86/4.23 }.
% 3.86/4.23 parent1[1]: (45) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 3.86/4.23 }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := vd526
% 3.86/4.23 Y := vd527
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (879) {G4,W3,D2,L1,V0,M1} R(756,45) { ! less( vd526, vd527 )
% 3.86/4.23 }.
% 3.86/4.23 parent0: (23708) {G1,W3,D2,L1,V0,M1} { ! less( vd526, vd527 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23709) {G1,W6,D2,L2,V0,M2} { ! geq( vd529, vd530 ), ! greater
% 3.86/4.23 ( vd526, vd527 ) }.
% 3.86/4.23 parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! geq( vmul( vd526, vd529 ), vmul(
% 3.86/4.23 vd527, vd530 ) ) }.
% 3.86/4.23 parent1[0]: (184) {G1,W13,D3,L3,V4,M3} R(43,4) { geq( vmul( X, Y ), vmul( Z
% 3.86/4.23 , T ) ), ! geq( Y, T ), ! greater( X, Z ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := vd526
% 3.86/4.23 Y := vd529
% 3.86/4.23 Z := vd527
% 3.86/4.23 T := vd530
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23710) {G1,W3,D2,L1,V0,M1} { ! greater( vd526, vd527 ) }.
% 3.86/4.23 parent0[0]: (23709) {G1,W6,D2,L2,V0,M2} { ! geq( vd529, vd530 ), ! greater
% 3.86/4.23 ( vd526, vd527 ) }.
% 3.86/4.23 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { geq( vd529, vd530 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (23385) {G2,W3,D2,L1,V0,M1} R(184,0);r(1) { ! greater( vd526,
% 3.86/4.23 vd527 ) }.
% 3.86/4.23 parent0: (23710) {G1,W3,D2,L1,V0,M1} { ! greater( vd526, vd527 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 eqswap: (23711) {G0,W9,D2,L3,V2,M3} { Y = X, greater( X, Y ), less( X, Y )
% 3.86/4.23 }.
% 3.86/4.23 parent0[0]: (47) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y
% 3.86/4.23 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23712) {G1,W6,D2,L2,V0,M2} { vd527 = vd526, less( vd526,
% 3.86/4.23 vd527 ) }.
% 3.86/4.23 parent0[0]: (23385) {G2,W3,D2,L1,V0,M1} R(184,0);r(1) { ! greater( vd526,
% 3.86/4.23 vd527 ) }.
% 3.86/4.23 parent1[1]: (23711) {G0,W9,D2,L3,V2,M3} { Y = X, greater( X, Y ), less( X
% 3.86/4.23 , Y ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := vd526
% 3.86/4.23 Y := vd527
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23713) {G2,W3,D2,L1,V0,M1} { vd527 = vd526 }.
% 3.86/4.23 parent0[0]: (879) {G4,W3,D2,L1,V0,M1} R(756,45) { ! less( vd526, vd527 )
% 3.86/4.23 }.
% 3.86/4.23 parent1[1]: (23712) {G1,W6,D2,L2,V0,M2} { vd527 = vd526, less( vd526,
% 3.86/4.23 vd527 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (23393) {G5,W3,D2,L1,V0,M1} R(23385,47);r(879) { vd527 ==>
% 3.86/4.23 vd526 }.
% 3.86/4.23 parent0: (23713) {G2,W3,D2,L1,V0,M1} { vd527 = vd526 }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23716) {G1,W6,D2,L2,V0,M2} { ! greater( vd529, vd530 ), ! geq
% 3.86/4.23 ( vd526, vd527 ) }.
% 3.86/4.23 parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! geq( vmul( vd526, vd529 ), vmul(
% 3.86/4.23 vd527, vd530 ) ) }.
% 3.86/4.23 parent1[0]: (186) {G1,W13,D3,L3,V4,M3} R(43,3) { geq( vmul( X, Y ), vmul( Z
% 3.86/4.23 , T ) ), ! greater( Y, T ), ! geq( X, Z ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := vd526
% 3.86/4.23 Y := vd529
% 3.86/4.23 Z := vd527
% 3.86/4.23 T := vd530
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 paramod: (23717) {G2,W6,D2,L2,V0,M2} { ! geq( vd526, vd526 ), ! greater(
% 3.86/4.23 vd529, vd530 ) }.
% 3.86/4.23 parent0[0]: (23393) {G5,W3,D2,L1,V0,M1} R(23385,47);r(879) { vd527 ==>
% 3.86/4.23 vd526 }.
% 3.86/4.23 parent1[1; 3]: (23716) {G1,W6,D2,L2,V0,M2} { ! greater( vd529, vd530 ), !
% 3.86/4.23 geq( vd526, vd527 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23718) {G2,W3,D2,L1,V0,M1} { ! greater( vd529, vd530 ) }.
% 3.86/4.23 parent0[0]: (23717) {G2,W6,D2,L2,V0,M2} { ! geq( vd526, vd526 ), ! greater
% 3.86/4.23 ( vd529, vd530 ) }.
% 3.86/4.23 parent1[0]: (74) {G1,W3,D2,L1,V1,M1} Q(44) { geq( X, X ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := vd526
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (23505) {G6,W3,D2,L1,V0,M1} R(186,0);d(23393);r(74) { !
% 3.86/4.23 greater( vd529, vd530 ) }.
% 3.86/4.23 parent0: (23718) {G2,W3,D2,L1,V0,M1} { ! greater( vd529, vd530 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 eqswap: (23719) {G0,W9,D2,L3,V2,M3} { Y = X, greater( X, Y ), less( X, Y )
% 3.86/4.23 }.
% 3.86/4.23 parent0[0]: (47) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y
% 3.86/4.23 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 X := X
% 3.86/4.23 Y := Y
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23720) {G1,W6,D2,L2,V0,M2} { vd530 = vd529, less( vd529,
% 3.86/4.23 vd530 ) }.
% 3.86/4.23 parent0[0]: (23505) {G6,W3,D2,L1,V0,M1} R(186,0);d(23393);r(74) { ! greater
% 3.86/4.23 ( vd529, vd530 ) }.
% 3.86/4.23 parent1[1]: (23719) {G0,W9,D2,L3,V2,M3} { Y = X, greater( X, Y ), less( X
% 3.86/4.23 , Y ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 X := vd529
% 3.86/4.23 Y := vd530
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 resolution: (23721) {G2,W3,D2,L1,V0,M1} { vd530 = vd529 }.
% 3.86/4.23 parent0[0]: (818) {G4,W3,D2,L1,V0,M1} R(755,45) { ! less( vd529, vd530 )
% 3.86/4.23 }.
% 3.86/4.23 parent1[1]: (23720) {G1,W6,D2,L2,V0,M2} { vd530 = vd529, less( vd529,
% 3.86/4.23 vd530 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (23511) {G7,W3,D2,L1,V0,M1} R(23505,47);r(818) { vd530 ==>
% 3.86/4.23 vd529 }.
% 3.86/4.23 parent0: (23721) {G2,W3,D2,L1,V0,M1} { vd530 = vd529 }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 0 ==> 0
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 eqswap: (23724) {G1,W7,D3,L1,V0,M1} { ! vmul( vd526, vd529 ) ==> vmul(
% 3.86/4.23 vd527, vd530 ) }.
% 3.86/4.23 parent0[0]: (142) {G1,W7,D3,L1,V0,M1} R(44,0) { ! vmul( vd527, vd530 ) ==>
% 3.86/4.23 vmul( vd526, vd529 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 paramod: (23726) {G2,W7,D3,L1,V0,M1} { ! vmul( vd526, vd529 ) ==> vmul(
% 3.86/4.23 vd527, vd529 ) }.
% 3.86/4.23 parent0[0]: (23511) {G7,W3,D2,L1,V0,M1} R(23505,47);r(818) { vd530 ==>
% 3.86/4.23 vd529 }.
% 3.86/4.23 parent1[0; 7]: (23724) {G1,W7,D3,L1,V0,M1} { ! vmul( vd526, vd529 ) ==>
% 3.86/4.23 vmul( vd527, vd530 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 paramod: (23727) {G3,W7,D3,L1,V0,M1} { ! vmul( vd526, vd529 ) ==> vmul(
% 3.86/4.23 vd526, vd529 ) }.
% 3.86/4.23 parent0[0]: (23393) {G5,W3,D2,L1,V0,M1} R(23385,47);r(879) { vd527 ==>
% 3.86/4.23 vd526 }.
% 3.86/4.23 parent1[0; 6]: (23726) {G2,W7,D3,L1,V0,M1} { ! vmul( vd526, vd529 ) ==>
% 3.86/4.23 vmul( vd527, vd529 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 substitution1:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 eqrefl: (23728) {G0,W0,D0,L0,V0,M0} { }.
% 3.86/4.23 parent0[0]: (23727) {G3,W7,D3,L1,V0,M1} { ! vmul( vd526, vd529 ) ==> vmul
% 3.86/4.23 ( vd526, vd529 ) }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 subsumption: (23518) {G8,W0,D0,L0,V0,M0} P(23511,142);d(23393);q { }.
% 3.86/4.23 parent0: (23728) {G0,W0,D0,L0,V0,M0} { }.
% 3.86/4.23 substitution0:
% 3.86/4.23 end
% 3.86/4.23 permutation0:
% 3.86/4.23 end
% 3.86/4.23
% 3.86/4.23 Proof check complete!
% 3.86/4.23
% 3.86/4.23 Memory use:
% 3.86/4.23
% 3.86/4.23 space for terms: 297055
% 3.86/4.23 space for clauses: 1046600
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 clauses generated: 89159
% 3.86/4.23 clauses kept: 23519
% 3.86/4.23 clauses selected: 732
% 3.86/4.23 clauses deleted: 3015
% 3.86/4.23 clauses inuse deleted: 52
% 3.86/4.23
% 3.86/4.23 subsentry: 699987
% 3.86/4.23 literals s-matched: 524479
% 3.86/4.23 literals matched: 516111
% 3.86/4.23 full subsumption: 256570
% 3.86/4.23
% 3.86/4.23 checksum: -705447357
% 3.86/4.23
% 3.86/4.23
% 3.86/4.23 Bliksem ended
%------------------------------------------------------------------------------