TSTP Solution File: NUM856+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM856+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 06:27:08 EDT 2022
% Result : Theorem 4.79s 5.18s
% Output : Refutation 4.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM856+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jul 5 13:24:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.43/2.81 *** allocated 10000 integers for termspace/termends
% 2.43/2.81 *** allocated 10000 integers for clauses
% 2.43/2.81 *** allocated 10000 integers for justifications
% 2.43/2.81 Bliksem 1.12
% 2.43/2.81
% 2.43/2.81
% 2.43/2.81 Automatic Strategy Selection
% 2.43/2.81
% 2.43/2.81
% 2.43/2.81 Clauses:
% 2.43/2.81
% 2.43/2.81 { ! greater( vmul( vd517, vd519 ), vmul( vd518, vd520 ) ) }.
% 2.43/2.81 { alpha1, geq( vd519, vd520 ) }.
% 2.43/2.81 { alpha1, greater( vd517, vd518 ) }.
% 2.43/2.81 { ! alpha1, greater( vd519, vd520 ) }.
% 2.43/2.81 { ! alpha1, geq( vd517, vd518 ) }.
% 2.43/2.81 { ! greater( vd519, vd520 ), ! geq( vd517, vd518 ), alpha1 }.
% 2.43/2.81 { ! greater( Z, T ), ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, T )
% 2.43/2.81 ) }.
% 2.43/2.81 { ! less( vmul( X, Z ), vmul( Y, Z ) ), less( X, Y ) }.
% 2.43/2.81 { ! vmul( X, Z ) = vmul( Y, Z ), X = Y }.
% 2.43/2.81 { ! greater( vmul( X, Z ), vmul( Y, Z ) ), greater( X, Y ) }.
% 2.43/2.81 { ! less( X, Y ), less( vmul( X, Z ), vmul( Y, Z ) ) }.
% 2.43/2.81 { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 2.43/2.81 { ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, Z ) ) }.
% 2.43/2.81 { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z ) ) }.
% 2.43/2.81 { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 2.43/2.81 { vmul( X, Y ) = vmul( Y, X ) }.
% 2.43/2.81 { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 2.43/2.81 { vmul( v1, X ) = X }.
% 2.43/2.81 { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 2.43/2.81 { vmul( X, v1 ) = X }.
% 2.43/2.81 { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 2.43/2.81 { ! greater( X, Y ), geq( X, vplus( Y, v1 ) ) }.
% 2.43/2.81 { geq( X, v1 ) }.
% 2.43/2.81 { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X, Z ), vplus( Y, T ) ) }.
% 2.43/2.81 { ! greater( Z, T ), ! geq( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 2.43/2.81 }.
% 2.43/2.81 { ! geq( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 2.43/2.81 }.
% 2.43/2.81 { ! greater( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T
% 2.43/2.81 ) ) }.
% 2.43/2.81 { ! less( vplus( X, Z ), vplus( Y, Z ) ), less( X, Y ) }.
% 2.43/2.81 { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 2.43/2.81 { ! greater( vplus( X, Z ), vplus( Y, Z ) ), greater( X, Y ) }.
% 2.43/2.81 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 2.43/2.81 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 2.43/2.81 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 2.43/2.81 { greater( vplus( X, Y ), X ) }.
% 2.43/2.81 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 2.43/2.81 { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 2.43/2.81 { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 2.43/2.81 { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 2.43/2.81 { ! leq( X, Y ), geq( Y, X ) }.
% 2.43/2.81 { ! geq( X, Y ), leq( Y, X ) }.
% 2.43/2.81 { ! leq( Y, X ), less( Y, X ), Y = X }.
% 2.43/2.81 { ! less( Y, X ), leq( Y, X ) }.
% 2.43/2.81 { ! Y = X, leq( Y, X ) }.
% 2.43/2.81 { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 2.43/2.81 { ! greater( Y, X ), geq( Y, X ) }.
% 2.43/2.81 { ! Y = X, geq( Y, X ) }.
% 2.43/2.81 { ! less( X, Y ), greater( Y, X ) }.
% 2.43/2.81 { ! greater( X, Y ), less( Y, X ) }.
% 2.43/2.81 { X = Y, greater( X, Y ), less( X, Y ) }.
% 2.43/2.81 { ! X = Y, ! less( X, Y ) }.
% 2.43/2.81 { ! greater( X, Y ), ! less( X, Y ) }.
% 2.43/2.81 { ! X = Y, ! greater( X, Y ) }.
% 2.43/2.81 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 2.43/2.81 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 2.43/2.81 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 2.43/2.81 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 2.43/2.81 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 2.43/2.81 { ! X = Y, ! Y = vplus( X, Z ) }.
% 2.43/2.81 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 2.43/2.81 { ! X = Y, ! X = vplus( Y, Z ) }.
% 2.43/2.81 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 2.43/2.81 { ! Y = vplus( X, Y ) }.
% 2.43/2.81 { vplus( Y, X ) = vplus( X, Y ) }.
% 2.43/2.81 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 2.43/2.81 { vplus( v1, X ) = vsucc( X ) }.
% 2.43/2.81 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 2.43/2.81 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 2.43/2.81 { vplus( X, v1 ) = vsucc( X ) }.
% 2.43/2.81 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 2.43/2.81 { ! vsucc( X ) = X }.
% 2.43/2.81 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 2.43/2.81 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 2.43/2.81 { ! vsucc( X ) = v1 }.
% 2.43/2.81
% 2.43/2.81 percentage equality = 0.359712, percentage horn = 0.902778
% 2.43/2.81 This is a problem with some equality
% 2.43/2.81
% 2.43/2.81
% 2.43/2.81
% 2.43/2.81 Options Used:
% 2.43/2.81
% 2.43/2.81 useres = 1
% 2.43/2.81 useparamod = 1
% 2.43/2.81 useeqrefl = 1
% 2.43/2.81 useeqfact = 1
% 2.43/2.81 usefactor = 1
% 2.43/2.81 usesimpsplitting = 0
% 2.43/2.81 usesimpdemod = 5
% 2.43/2.81 usesimpres = 3
% 2.43/2.81
% 2.43/2.81 resimpinuse = 1000
% 2.43/2.81 resimpclauses = 20000
% 2.43/2.81 substype = eqrewr
% 2.43/2.81 backwardsubs = 1
% 2.43/2.81 selectoldest = 5
% 2.43/2.81
% 2.43/2.81 litorderings [0] = split
% 2.43/2.81 litorderings [1] = extend the termordering, first sorting on arguments
% 2.43/2.81
% 2.43/2.81 termordering = kbo
% 2.43/2.81
% 2.43/2.81 litapriori = 0
% 2.43/2.81 termapriori = 1
% 4.79/5.18 litaposteriori = 0
% 4.79/5.18 termaposteriori = 0
% 4.79/5.18 demodaposteriori = 0
% 4.79/5.18 ordereqreflfact = 0
% 4.79/5.18
% 4.79/5.18 litselect = negord
% 4.79/5.18
% 4.79/5.18 maxweight = 15
% 4.79/5.18 maxdepth = 30000
% 4.79/5.18 maxlength = 115
% 4.79/5.18 maxnrvars = 195
% 4.79/5.18 excuselevel = 1
% 4.79/5.18 increasemaxweight = 1
% 4.79/5.18
% 4.79/5.18 maxselected = 10000000
% 4.79/5.18 maxnrclauses = 10000000
% 4.79/5.18
% 4.79/5.18 showgenerated = 0
% 4.79/5.18 showkept = 0
% 4.79/5.18 showselected = 0
% 4.79/5.18 showdeleted = 0
% 4.79/5.18 showresimp = 1
% 4.79/5.18 showstatus = 2000
% 4.79/5.18
% 4.79/5.18 prologoutput = 0
% 4.79/5.18 nrgoals = 5000000
% 4.79/5.18 totalproof = 1
% 4.79/5.18
% 4.79/5.18 Symbols occurring in the translation:
% 4.79/5.18
% 4.79/5.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.79/5.18 . [1, 2] (w:1, o:132, a:1, s:1, b:0),
% 4.79/5.18 ! [4, 1] (w:0, o:125, a:1, s:1, b:0),
% 4.79/5.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.79/5.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.79/5.18 vd517 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 4.79/5.18 vd519 [36, 0] (w:1, o:8, a:1, s:1, b:0),
% 4.79/5.18 vmul [37, 2] (w:1, o:156, a:1, s:1, b:0),
% 4.79/5.18 vd518 [38, 0] (w:1, o:7, a:1, s:1, b:0),
% 4.79/5.18 vd520 [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.79/5.18 greater [40, 2] (w:1, o:157, a:1, s:1, b:0),
% 4.79/5.18 geq [41, 2] (w:1, o:158, a:1, s:1, b:0),
% 4.79/5.18 less [49, 2] (w:1, o:159, a:1, s:1, b:0),
% 4.79/5.18 vplus [69, 2] (w:1, o:160, a:1, s:1, b:0),
% 4.79/5.18 vsucc [74, 1] (w:1, o:130, a:1, s:1, b:0),
% 4.79/5.18 v1 [76, 0] (w:1, o:114, a:1, s:1, b:0),
% 4.79/5.18 leq [81, 2] (w:1, o:161, a:1, s:1, b:0),
% 4.79/5.18 vskolem2 [154, 1] (w:1, o:131, a:1, s:1, b:0),
% 4.79/5.18 alpha1 [161, 0] (w:1, o:124, a:1, s:1, b:1),
% 4.79/5.18 skol1 [162, 2] (w:1, o:162, a:1, s:1, b:1),
% 4.79/5.18 skol2 [163, 2] (w:1, o:163, a:1, s:1, b:1),
% 4.79/5.18 skol3 [164, 2] (w:1, o:164, a:1, s:1, b:1),
% 4.79/5.18 skol4 [165, 2] (w:1, o:165, a:1, s:1, b:1).
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Starting Search:
% 4.79/5.18
% 4.79/5.18 *** allocated 15000 integers for clauses
% 4.79/5.18 *** allocated 22500 integers for clauses
% 4.79/5.18 *** allocated 33750 integers for clauses
% 4.79/5.18 *** allocated 50625 integers for clauses
% 4.79/5.18 *** allocated 15000 integers for termspace/termends
% 4.79/5.18 *** allocated 75937 integers for clauses
% 4.79/5.18 *** allocated 22500 integers for termspace/termends
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 *** allocated 113905 integers for clauses
% 4.79/5.18 *** allocated 33750 integers for termspace/termends
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 5419
% 4.79/5.18 Kept: 2233
% 4.79/5.18 Inuse: 147
% 4.79/5.18 Deleted: 18
% 4.79/5.18 Deletedinuse: 4
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 *** allocated 170857 integers for clauses
% 4.79/5.18 *** allocated 50625 integers for termspace/termends
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 *** allocated 256285 integers for clauses
% 4.79/5.18 *** allocated 75937 integers for termspace/termends
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 11459
% 4.79/5.18 Kept: 4272
% 4.79/5.18 Inuse: 208
% 4.79/5.18 Deleted: 82
% 4.79/5.18 Deletedinuse: 64
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 *** allocated 384427 integers for clauses
% 4.79/5.18 *** allocated 113905 integers for termspace/termends
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 18198
% 4.79/5.18 Kept: 6283
% 4.79/5.18 Inuse: 286
% 4.79/5.18 Deleted: 91
% 4.79/5.18 Deletedinuse: 64
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 23714
% 4.79/5.18 Kept: 8309
% 4.79/5.18 Inuse: 344
% 4.79/5.18 Deleted: 103
% 4.79/5.18 Deletedinuse: 69
% 4.79/5.18
% 4.79/5.18 *** allocated 576640 integers for clauses
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 *** allocated 170857 integers for termspace/termends
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 35638
% 4.79/5.18 Kept: 10318
% 4.79/5.18 Inuse: 412
% 4.79/5.18 Deleted: 115
% 4.79/5.18 Deletedinuse: 69
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 47700
% 4.79/5.18 Kept: 12341
% 4.79/5.18 Inuse: 484
% 4.79/5.18 Deleted: 209
% 4.79/5.18 Deletedinuse: 69
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 *** allocated 864960 integers for clauses
% 4.79/5.18 *** allocated 256285 integers for termspace/termends
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 55370
% 4.79/5.18 Kept: 14368
% 4.79/5.18 Inuse: 536
% 4.79/5.18 Deleted: 218
% 4.79/5.18 Deletedinuse: 70
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 62511
% 4.79/5.18 Kept: 16422
% 4.79/5.18 Inuse: 590
% 4.79/5.18 Deleted: 236
% 4.79/5.18 Deletedinuse: 70
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 69709
% 4.79/5.18 Kept: 18473
% 4.79/5.18 Inuse: 635
% 4.79/5.18 Deleted: 252
% 4.79/5.18 Deletedinuse: 70
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 *** allocated 1297440 integers for clauses
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 *** allocated 384427 integers for termspace/termends
% 4.79/5.18 Resimplifying clauses:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 79632
% 4.79/5.18 Kept: 20496
% 4.79/5.18 Inuse: 695
% 4.79/5.18 Deleted: 2464
% 4.79/5.18 Deletedinuse: 70
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 90872
% 4.79/5.18 Kept: 22539
% 4.79/5.18 Inuse: 719
% 4.79/5.18 Deleted: 2498
% 4.79/5.18 Deletedinuse: 102
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 99887
% 4.79/5.18 Kept: 24567
% 4.79/5.18 Inuse: 747
% 4.79/5.18 Deleted: 2498
% 4.79/5.18 Deletedinuse: 102
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Intermediate Status:
% 4.79/5.18 Generated: 112427
% 4.79/5.18 Kept: 27009
% 4.79/5.18 Inuse: 780
% 4.79/5.18 Deleted: 2498
% 4.79/5.18 Deletedinuse: 102
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18 Resimplifying inuse:
% 4.79/5.18 Done
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Bliksems!, er is een bewijs:
% 4.79/5.18 % SZS status Theorem
% 4.79/5.18 % SZS output start Refutation
% 4.79/5.18
% 4.79/5.18 (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd517, vd519 ), vmul( vd518,
% 4.79/5.18 vd520 ) ) }.
% 4.79/5.18 (1) {G0,W4,D2,L2,V0,M2} I { alpha1, geq( vd519, vd520 ) }.
% 4.79/5.18 (2) {G0,W4,D2,L2,V0,M2} I { alpha1, greater( vd517, vd518 ) }.
% 4.79/5.18 (3) {G0,W4,D2,L2,V0,M2} I { ! alpha1, greater( vd519, vd520 ) }.
% 4.79/5.18 (4) {G0,W4,D2,L2,V0,M2} I { ! alpha1, geq( vd517, vd518 ) }.
% 4.79/5.18 (5) {G0,W7,D2,L3,V0,M3} I { ! greater( vd519, vd520 ), ! geq( vd517, vd518
% 4.79/5.18 ), alpha1 }.
% 4.79/5.18 (6) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! greater( X, Y ), greater
% 4.79/5.18 ( vmul( X, Z ), vmul( Y, T ) ) }.
% 4.79/5.18 (12) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vmul( X, Z ),
% 4.79/5.18 vmul( Y, Z ) ) }.
% 4.79/5.18 (15) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 4.79/5.18 (39) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 4.79/5.18 (40) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y = X }.
% 4.79/5.18 (44) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 4.79/5.18 (46) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X ) }.
% 4.79/5.18 (82) {G1,W3,D2,L1,V0,M1} R(2,4);r(44) { geq( vd517, vd518 ) }.
% 4.79/5.18 (83) {G1,W3,D2,L1,V0,M1} R(1,3);r(44) { geq( vd519, vd520 ) }.
% 4.79/5.18 (84) {G2,W4,D2,L2,V0,M2} S(5);r(82) { ! greater( vd519, vd520 ), alpha1 }.
% 4.79/5.18 (92) {G1,W6,D2,L2,V0,M2} R(6,0) { ! greater( vd519, vd520 ), ! greater(
% 4.79/5.18 vd517, vd518 ) }.
% 4.79/5.18 (237) {G3,W4,D2,L2,V0,M2} R(46,84) { ! less( vd520, vd519 ), alpha1 }.
% 4.79/5.18 (323) {G1,W8,D3,L2,V1,M2} R(12,2) { greater( vmul( vd517, X ), vmul( vd518
% 4.79/5.18 , X ) ), alpha1 }.
% 4.79/5.18 (392) {G2,W3,D2,L1,V0,M1} R(39,83) { leq( vd520, vd519 ) }.
% 4.79/5.18 (393) {G2,W3,D2,L1,V0,M1} R(39,82) { leq( vd518, vd517 ) }.
% 4.79/5.18 (426) {G1,W7,D3,L1,V0,M1} P(15,0) { ! greater( vmul( vd519, vd517 ), vmul(
% 4.79/5.18 vd518, vd520 ) ) }.
% 4.79/5.18 (1190) {G2,W4,D2,L2,V0,M2} R(92,3) { ! greater( vd517, vd518 ), ! alpha1
% 4.79/5.18 }.
% 4.79/5.18 (1204) {G3,W4,D2,L2,V0,M2} R(1190,46) { ! alpha1, ! less( vd518, vd517 )
% 4.79/5.18 }.
% 4.79/5.18 (1882) {G4,W4,D2,L2,V0,M2} R(40,1204);r(393) { vd518 ==> vd517, ! alpha1
% 4.79/5.18 }.
% 4.79/5.18 (1905) {G4,W4,D2,L2,V0,M2} R(40,237);r(392) { vd520 ==> vd519, alpha1 }.
% 4.79/5.18 (2247) {G5,W1,D1,L1,V0,M1} P(1905,0);r(323) { alpha1 }.
% 4.79/5.18 (2248) {G6,W3,D2,L1,V0,M1} R(2247,1882) { vd518 ==> vd517 }.
% 4.79/5.18 (2256) {G6,W3,D2,L1,V0,M1} R(2247,3) { greater( vd519, vd520 ) }.
% 4.79/5.18 (2907) {G7,W7,D3,L1,V1,M1} R(2256,12) { greater( vmul( vd519, X ), vmul(
% 4.79/5.18 vd520, X ) ) }.
% 4.79/5.18 (20114) {G7,W7,D3,L1,V0,M1} S(426);d(2248) { ! greater( vmul( vd519, vd517
% 4.79/5.18 ), vmul( vd517, vd520 ) ) }.
% 4.79/5.18 (25140) {G8,W7,D3,L1,V1,M1} P(15,2907) { greater( vmul( vd519, X ), vmul( X
% 4.79/5.18 , vd520 ) ) }.
% 4.79/5.18 (28114) {G9,W0,D0,L0,V0,M0} S(20114);r(25140) { }.
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 % SZS output end Refutation
% 4.79/5.18 found a proof!
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Unprocessed initial clauses:
% 4.79/5.18
% 4.79/5.18 (28116) {G0,W7,D3,L1,V0,M1} { ! greater( vmul( vd517, vd519 ), vmul( vd518
% 4.79/5.18 , vd520 ) ) }.
% 4.79/5.18 (28117) {G0,W4,D2,L2,V0,M2} { alpha1, geq( vd519, vd520 ) }.
% 4.79/5.18 (28118) {G0,W4,D2,L2,V0,M2} { alpha1, greater( vd517, vd518 ) }.
% 4.79/5.18 (28119) {G0,W4,D2,L2,V0,M2} { ! alpha1, greater( vd519, vd520 ) }.
% 4.79/5.18 (28120) {G0,W4,D2,L2,V0,M2} { ! alpha1, geq( vd517, vd518 ) }.
% 4.79/5.18 (28121) {G0,W7,D2,L3,V0,M3} { ! greater( vd519, vd520 ), ! geq( vd517,
% 4.79/5.18 vd518 ), alpha1 }.
% 4.79/5.18 (28122) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y ),
% 4.79/5.18 greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 4.79/5.18 (28123) {G0,W10,D3,L2,V3,M2} { ! less( vmul( X, Z ), vmul( Y, Z ) ), less
% 4.79/5.18 ( X, Y ) }.
% 4.79/5.18 (28124) {G0,W10,D3,L2,V3,M2} { ! vmul( X, Z ) = vmul( Y, Z ), X = Y }.
% 4.79/5.18 (28125) {G0,W10,D3,L2,V3,M2} { ! greater( vmul( X, Z ), vmul( Y, Z ) ),
% 4.79/5.18 greater( X, Y ) }.
% 4.79/5.18 (28126) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vmul( X, Z ), vmul( Y
% 4.79/5.18 , Z ) ) }.
% 4.79/5.18 (28127) {G0,W10,D3,L2,V3,M2} { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 4.79/5.18 (28128) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vmul( X, Z ),
% 4.79/5.18 vmul( Y, Z ) ) }.
% 4.79/5.18 (28129) {G0,W11,D4,L1,V3,M1} { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y
% 4.79/5.18 , Z ) ) }.
% 4.79/5.18 (28130) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X,
% 4.79/5.18 Y ), vmul( X, Z ) ) }.
% 4.79/5.18 (28131) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 4.79/5.18 (28132) {G0,W10,D4,L1,V2,M1} { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y )
% 4.79/5.18 , Y ) }.
% 4.79/5.18 (28133) {G0,W5,D3,L1,V1,M1} { vmul( v1, X ) = X }.
% 4.79/5.18 (28134) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y )
% 4.79/5.18 , X ) }.
% 4.79/5.18 (28135) {G0,W5,D3,L1,V1,M1} { vmul( X, v1 ) = X }.
% 4.79/5.18 (28136) {G0,W8,D3,L2,V2,M2} { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 4.79/5.18 (28137) {G0,W8,D3,L2,V2,M2} { ! greater( X, Y ), geq( X, vplus( Y, v1 ) )
% 4.79/5.18 }.
% 4.79/5.18 (28138) {G0,W3,D2,L1,V1,M1} { geq( X, v1 ) }.
% 4.79/5.18 (28139) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X
% 4.79/5.18 , Z ), vplus( Y, T ) ) }.
% 4.79/5.18 (28140) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! geq( X, Y ), greater(
% 4.79/5.18 vplus( X, Z ), vplus( Y, T ) ) }.
% 4.79/5.18 (28141) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! greater( X, Y ), greater(
% 4.79/5.18 vplus( X, Z ), vplus( Y, T ) ) }.
% 4.79/5.18 (28142) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y ),
% 4.79/5.18 greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 4.79/5.18 (28143) {G0,W10,D3,L2,V3,M2} { ! less( vplus( X, Z ), vplus( Y, Z ) ),
% 4.79/5.18 less( X, Y ) }.
% 4.79/5.18 (28144) {G0,W10,D3,L2,V3,M2} { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 4.79/5.18 (28145) {G0,W10,D3,L2,V3,M2} { ! greater( vplus( X, Z ), vplus( Y, Z ) ),
% 4.79/5.18 greater( X, Y ) }.
% 4.79/5.18 (28146) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus
% 4.79/5.18 ( Y, Z ) ) }.
% 4.79/5.18 (28147) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 4.79/5.18 (28148) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 4.79/5.18 vplus( Y, Z ) ) }.
% 4.79/5.18 (28149) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 4.79/5.18 (28150) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y )
% 4.79/5.18 }.
% 4.79/5.18 (28151) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 4.79/5.18 }.
% 4.79/5.18 (28152) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 4.79/5.18 }.
% 4.79/5.18 (28153) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 4.79/5.18 }.
% 4.79/5.18 (28154) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 4.79/5.18 (28155) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 4.79/5.18 (28156) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X }.
% 4.79/5.18 (28157) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 4.79/5.18 (28158) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 4.79/5.18 (28159) {G0,W9,D2,L3,V2,M3} { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 4.79/5.18 (28160) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 4.79/5.18 (28161) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 4.79/5.18 (28162) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 4.79/5.18 (28163) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 4.79/5.18 (28164) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 4.79/5.18 (28165) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 4.79/5.18 (28166) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 4.79/5.18 (28167) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 4.79/5.18 (28168) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 4.79/5.18 ) }.
% 4.79/5.18 (28169) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 4.79/5.18 (28170) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X,
% 4.79/5.18 Y ) ) }.
% 4.79/5.18 (28171) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 4.79/5.18 (28172) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 4.79/5.18 vplus( X, skol4( X, Y ) ) }.
% 4.79/5.18 (28173) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 4.79/5.18 (28174) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T )
% 4.79/5.18 }.
% 4.79/5.18 (28175) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 4.79/5.18 (28176) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 4.79/5.18 (28177) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 4.79/5.18 (28178) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 4.79/5.18 (28179) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y
% 4.79/5.18 ) ) }.
% 4.79/5.18 (28180) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 4.79/5.18 (28181) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 4.79/5.18 ( Y, Z ) ) }.
% 4.79/5.18 (28182) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y
% 4.79/5.18 ) ) }.
% 4.79/5.18 (28183) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 4.79/5.18 (28184) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 4.79/5.18 (28185) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 4.79/5.18 (28186) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 4.79/5.18 (28187) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 4.79/5.18 (28188) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Total Proof:
% 4.79/5.18
% 4.79/5.18 subsumption: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd517, vd519 ),
% 4.79/5.18 vmul( vd518, vd520 ) ) }.
% 4.79/5.18 parent0: (28116) {G0,W7,D3,L1,V0,M1} { ! greater( vmul( vd517, vd519 ),
% 4.79/5.18 vmul( vd518, vd520 ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (1) {G0,W4,D2,L2,V0,M2} I { alpha1, geq( vd519, vd520 ) }.
% 4.79/5.18 parent0: (28117) {G0,W4,D2,L2,V0,M2} { alpha1, geq( vd519, vd520 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (2) {G0,W4,D2,L2,V0,M2} I { alpha1, greater( vd517, vd518 )
% 4.79/5.18 }.
% 4.79/5.18 parent0: (28118) {G0,W4,D2,L2,V0,M2} { alpha1, greater( vd517, vd518 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (3) {G0,W4,D2,L2,V0,M2} I { ! alpha1, greater( vd519, vd520 )
% 4.79/5.18 }.
% 4.79/5.18 parent0: (28119) {G0,W4,D2,L2,V0,M2} { ! alpha1, greater( vd519, vd520 )
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (4) {G0,W4,D2,L2,V0,M2} I { ! alpha1, geq( vd517, vd518 ) }.
% 4.79/5.18 parent0: (28120) {G0,W4,D2,L2,V0,M2} { ! alpha1, geq( vd517, vd518 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (5) {G0,W7,D2,L3,V0,M3} I { ! greater( vd519, vd520 ), ! geq(
% 4.79/5.18 vd517, vd518 ), alpha1 }.
% 4.79/5.18 parent0: (28121) {G0,W7,D2,L3,V0,M3} { ! greater( vd519, vd520 ), ! geq(
% 4.79/5.18 vd517, vd518 ), alpha1 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 2 ==> 2
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (6) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! greater( X,
% 4.79/5.18 Y ), greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 4.79/5.18 parent0: (28122) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y
% 4.79/5.18 ), greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := X
% 4.79/5.18 Y := Y
% 4.79/5.18 Z := Z
% 4.79/5.18 T := T
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 2 ==> 2
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (12) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vmul
% 4.79/5.18 ( X, Z ), vmul( Y, Z ) ) }.
% 4.79/5.18 parent0: (28128) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vmul(
% 4.79/5.18 X, Z ), vmul( Y, Z ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := X
% 4.79/5.18 Y := Y
% 4.79/5.18 Z := Z
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (15) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 4.79/5.18 parent0: (28131) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := X
% 4.79/5.18 Y := Y
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (39) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 4.79/5.18 parent0: (28155) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := X
% 4.79/5.18 Y := Y
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (40) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y =
% 4.79/5.18 X }.
% 4.79/5.18 parent0: (28156) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := X
% 4.79/5.18 Y := Y
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 2 ==> 2
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (44) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X )
% 4.79/5.18 }.
% 4.79/5.18 parent0: (28160) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := X
% 4.79/5.18 Y := Y
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (46) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 4.79/5.18 }.
% 4.79/5.18 parent0: (28162) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := X
% 4.79/5.18 Y := Y
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28266) {G1,W6,D2,L2,V0,M2} { geq( vd517, vd518 ), greater(
% 4.79/5.18 vd517, vd518 ) }.
% 4.79/5.18 parent0[0]: (4) {G0,W4,D2,L2,V0,M2} I { ! alpha1, geq( vd517, vd518 ) }.
% 4.79/5.18 parent1[0]: (2) {G0,W4,D2,L2,V0,M2} I { alpha1, greater( vd517, vd518 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28267) {G1,W6,D2,L2,V0,M2} { geq( vd517, vd518 ), geq( vd517
% 4.79/5.18 , vd518 ) }.
% 4.79/5.18 parent0[0]: (44) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 4.79/5.18 parent1[1]: (28266) {G1,W6,D2,L2,V0,M2} { geq( vd517, vd518 ), greater(
% 4.79/5.18 vd517, vd518 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := vd518
% 4.79/5.18 Y := vd517
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 factor: (28268) {G1,W3,D2,L1,V0,M1} { geq( vd517, vd518 ) }.
% 4.79/5.18 parent0[0, 1]: (28267) {G1,W6,D2,L2,V0,M2} { geq( vd517, vd518 ), geq(
% 4.79/5.18 vd517, vd518 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (82) {G1,W3,D2,L1,V0,M1} R(2,4);r(44) { geq( vd517, vd518 )
% 4.79/5.18 }.
% 4.79/5.18 parent0: (28268) {G1,W3,D2,L1,V0,M1} { geq( vd517, vd518 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28269) {G1,W6,D2,L2,V0,M2} { greater( vd519, vd520 ), geq(
% 4.79/5.18 vd519, vd520 ) }.
% 4.79/5.18 parent0[0]: (3) {G0,W4,D2,L2,V0,M2} I { ! alpha1, greater( vd519, vd520 )
% 4.79/5.18 }.
% 4.79/5.18 parent1[0]: (1) {G0,W4,D2,L2,V0,M2} I { alpha1, geq( vd519, vd520 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28270) {G1,W6,D2,L2,V0,M2} { geq( vd519, vd520 ), geq( vd519
% 4.79/5.18 , vd520 ) }.
% 4.79/5.18 parent0[0]: (44) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), geq( Y, X ) }.
% 4.79/5.18 parent1[0]: (28269) {G1,W6,D2,L2,V0,M2} { greater( vd519, vd520 ), geq(
% 4.79/5.18 vd519, vd520 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := vd520
% 4.79/5.18 Y := vd519
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 factor: (28271) {G1,W3,D2,L1,V0,M1} { geq( vd519, vd520 ) }.
% 4.79/5.18 parent0[0, 1]: (28270) {G1,W6,D2,L2,V0,M2} { geq( vd519, vd520 ), geq(
% 4.79/5.18 vd519, vd520 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (83) {G1,W3,D2,L1,V0,M1} R(1,3);r(44) { geq( vd519, vd520 )
% 4.79/5.18 }.
% 4.79/5.18 parent0: (28271) {G1,W3,D2,L1,V0,M1} { geq( vd519, vd520 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28272) {G1,W4,D2,L2,V0,M2} { ! greater( vd519, vd520 ),
% 4.79/5.18 alpha1 }.
% 4.79/5.18 parent0[1]: (5) {G0,W7,D2,L3,V0,M3} I { ! greater( vd519, vd520 ), ! geq(
% 4.79/5.18 vd517, vd518 ), alpha1 }.
% 4.79/5.18 parent1[0]: (82) {G1,W3,D2,L1,V0,M1} R(2,4);r(44) { geq( vd517, vd518 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (84) {G2,W4,D2,L2,V0,M2} S(5);r(82) { ! greater( vd519, vd520
% 4.79/5.18 ), alpha1 }.
% 4.79/5.18 parent0: (28272) {G1,W4,D2,L2,V0,M2} { ! greater( vd519, vd520 ), alpha1
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28273) {G1,W6,D2,L2,V0,M2} { ! greater( vd519, vd520 ), !
% 4.79/5.18 greater( vd517, vd518 ) }.
% 4.79/5.18 parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd517, vd519 ),
% 4.79/5.18 vmul( vd518, vd520 ) ) }.
% 4.79/5.18 parent1[2]: (6) {G0,W13,D3,L3,V4,M3} I { ! greater( Z, T ), ! greater( X, Y
% 4.79/5.18 ), greater( vmul( X, Z ), vmul( Y, T ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 X := vd517
% 4.79/5.18 Y := vd518
% 4.79/5.18 Z := vd519
% 4.79/5.18 T := vd520
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (92) {G1,W6,D2,L2,V0,M2} R(6,0) { ! greater( vd519, vd520 ), !
% 4.79/5.18 greater( vd517, vd518 ) }.
% 4.79/5.18 parent0: (28273) {G1,W6,D2,L2,V0,M2} { ! greater( vd519, vd520 ), !
% 4.79/5.18 greater( vd517, vd518 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28274) {G1,W4,D2,L2,V0,M2} { alpha1, ! less( vd520, vd519 )
% 4.79/5.18 }.
% 4.79/5.18 parent0[0]: (84) {G2,W4,D2,L2,V0,M2} S(5);r(82) { ! greater( vd519, vd520 )
% 4.79/5.18 , alpha1 }.
% 4.79/5.18 parent1[1]: (46) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 X := vd520
% 4.79/5.18 Y := vd519
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (237) {G3,W4,D2,L2,V0,M2} R(46,84) { ! less( vd520, vd519 ),
% 4.79/5.18 alpha1 }.
% 4.79/5.18 parent0: (28274) {G1,W4,D2,L2,V0,M2} { alpha1, ! less( vd520, vd519 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 1
% 4.79/5.18 1 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28275) {G1,W8,D3,L2,V1,M2} { greater( vmul( vd517, X ), vmul
% 4.79/5.18 ( vd518, X ) ), alpha1 }.
% 4.79/5.18 parent0[0]: (12) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vmul
% 4.79/5.18 ( X, Z ), vmul( Y, Z ) ) }.
% 4.79/5.18 parent1[1]: (2) {G0,W4,D2,L2,V0,M2} I { alpha1, greater( vd517, vd518 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := vd517
% 4.79/5.18 Y := vd518
% 4.79/5.18 Z := X
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (323) {G1,W8,D3,L2,V1,M2} R(12,2) { greater( vmul( vd517, X )
% 4.79/5.18 , vmul( vd518, X ) ), alpha1 }.
% 4.79/5.18 parent0: (28275) {G1,W8,D3,L2,V1,M2} { greater( vmul( vd517, X ), vmul(
% 4.79/5.18 vd518, X ) ), alpha1 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := X
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28276) {G1,W3,D2,L1,V0,M1} { leq( vd520, vd519 ) }.
% 4.79/5.18 parent0[0]: (39) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 4.79/5.18 parent1[0]: (83) {G1,W3,D2,L1,V0,M1} R(1,3);r(44) { geq( vd519, vd520 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := vd519
% 4.79/5.18 Y := vd520
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (392) {G2,W3,D2,L1,V0,M1} R(39,83) { leq( vd520, vd519 ) }.
% 4.79/5.18 parent0: (28276) {G1,W3,D2,L1,V0,M1} { leq( vd520, vd519 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28277) {G1,W3,D2,L1,V0,M1} { leq( vd518, vd517 ) }.
% 4.79/5.18 parent0[0]: (39) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 4.79/5.18 parent1[0]: (82) {G1,W3,D2,L1,V0,M1} R(2,4);r(44) { geq( vd517, vd518 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := vd517
% 4.79/5.18 Y := vd518
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (393) {G2,W3,D2,L1,V0,M1} R(39,82) { leq( vd518, vd517 ) }.
% 4.79/5.18 parent0: (28277) {G1,W3,D2,L1,V0,M1} { leq( vd518, vd517 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 paramod: (28278) {G1,W7,D3,L1,V0,M1} { ! greater( vmul( vd519, vd517 ),
% 4.79/5.18 vmul( vd518, vd520 ) ) }.
% 4.79/5.18 parent0[0]: (15) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 4.79/5.18 parent1[0; 2]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd517, vd519 )
% 4.79/5.18 , vmul( vd518, vd520 ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := vd517
% 4.79/5.18 Y := vd519
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (426) {G1,W7,D3,L1,V0,M1} P(15,0) { ! greater( vmul( vd519,
% 4.79/5.18 vd517 ), vmul( vd518, vd520 ) ) }.
% 4.79/5.18 parent0: (28278) {G1,W7,D3,L1,V0,M1} { ! greater( vmul( vd519, vd517 ),
% 4.79/5.18 vmul( vd518, vd520 ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28282) {G1,W4,D2,L2,V0,M2} { ! greater( vd517, vd518 ), !
% 4.79/5.18 alpha1 }.
% 4.79/5.18 parent0[0]: (92) {G1,W6,D2,L2,V0,M2} R(6,0) { ! greater( vd519, vd520 ), !
% 4.79/5.18 greater( vd517, vd518 ) }.
% 4.79/5.18 parent1[1]: (3) {G0,W4,D2,L2,V0,M2} I { ! alpha1, greater( vd519, vd520 )
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (1190) {G2,W4,D2,L2,V0,M2} R(92,3) { ! greater( vd517, vd518 )
% 4.79/5.18 , ! alpha1 }.
% 4.79/5.18 parent0: (28282) {G1,W4,D2,L2,V0,M2} { ! greater( vd517, vd518 ), ! alpha1
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28283) {G1,W4,D2,L2,V0,M2} { ! alpha1, ! less( vd518, vd517 )
% 4.79/5.18 }.
% 4.79/5.18 parent0[0]: (1190) {G2,W4,D2,L2,V0,M2} R(92,3) { ! greater( vd517, vd518 )
% 4.79/5.18 , ! alpha1 }.
% 4.79/5.18 parent1[1]: (46) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 X := vd518
% 4.79/5.18 Y := vd517
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (1204) {G3,W4,D2,L2,V0,M2} R(1190,46) { ! alpha1, ! less(
% 4.79/5.18 vd518, vd517 ) }.
% 4.79/5.18 parent0: (28283) {G1,W4,D2,L2,V0,M2} { ! alpha1, ! less( vd518, vd517 )
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 eqswap: (28284) {G0,W9,D2,L3,V2,M3} { Y = X, ! leq( X, Y ), less( X, Y )
% 4.79/5.18 }.
% 4.79/5.18 parent0[2]: (40) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y = X
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := Y
% 4.79/5.18 Y := X
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28285) {G1,W7,D2,L3,V0,M3} { ! alpha1, vd517 = vd518, ! leq(
% 4.79/5.18 vd518, vd517 ) }.
% 4.79/5.18 parent0[1]: (1204) {G3,W4,D2,L2,V0,M2} R(1190,46) { ! alpha1, ! less( vd518
% 4.79/5.18 , vd517 ) }.
% 4.79/5.18 parent1[2]: (28284) {G0,W9,D2,L3,V2,M3} { Y = X, ! leq( X, Y ), less( X, Y
% 4.79/5.18 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 X := vd518
% 4.79/5.18 Y := vd517
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28286) {G2,W4,D2,L2,V0,M2} { ! alpha1, vd517 = vd518 }.
% 4.79/5.18 parent0[2]: (28285) {G1,W7,D2,L3,V0,M3} { ! alpha1, vd517 = vd518, ! leq(
% 4.79/5.18 vd518, vd517 ) }.
% 4.79/5.18 parent1[0]: (393) {G2,W3,D2,L1,V0,M1} R(39,82) { leq( vd518, vd517 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 eqswap: (28287) {G2,W4,D2,L2,V0,M2} { vd518 = vd517, ! alpha1 }.
% 4.79/5.18 parent0[1]: (28286) {G2,W4,D2,L2,V0,M2} { ! alpha1, vd517 = vd518 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (1882) {G4,W4,D2,L2,V0,M2} R(40,1204);r(393) { vd518 ==> vd517
% 4.79/5.18 , ! alpha1 }.
% 4.79/5.18 parent0: (28287) {G2,W4,D2,L2,V0,M2} { vd518 = vd517, ! alpha1 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 eqswap: (28288) {G0,W9,D2,L3,V2,M3} { Y = X, ! leq( X, Y ), less( X, Y )
% 4.79/5.18 }.
% 4.79/5.18 parent0[2]: (40) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y = X
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := Y
% 4.79/5.18 Y := X
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28289) {G1,W7,D2,L3,V0,M3} { alpha1, vd519 = vd520, ! leq(
% 4.79/5.18 vd520, vd519 ) }.
% 4.79/5.18 parent0[0]: (237) {G3,W4,D2,L2,V0,M2} R(46,84) { ! less( vd520, vd519 ),
% 4.79/5.18 alpha1 }.
% 4.79/5.18 parent1[2]: (28288) {G0,W9,D2,L3,V2,M3} { Y = X, ! leq( X, Y ), less( X, Y
% 4.79/5.18 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 X := vd520
% 4.79/5.18 Y := vd519
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28290) {G2,W4,D2,L2,V0,M2} { alpha1, vd519 = vd520 }.
% 4.79/5.18 parent0[2]: (28289) {G1,W7,D2,L3,V0,M3} { alpha1, vd519 = vd520, ! leq(
% 4.79/5.18 vd520, vd519 ) }.
% 4.79/5.18 parent1[0]: (392) {G2,W3,D2,L1,V0,M1} R(39,83) { leq( vd520, vd519 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 eqswap: (28291) {G2,W4,D2,L2,V0,M2} { vd520 = vd519, alpha1 }.
% 4.79/5.18 parent0[1]: (28290) {G2,W4,D2,L2,V0,M2} { alpha1, vd519 = vd520 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (1905) {G4,W4,D2,L2,V0,M2} R(40,237);r(392) { vd520 ==> vd519
% 4.79/5.18 , alpha1 }.
% 4.79/5.18 parent0: (28291) {G2,W4,D2,L2,V0,M2} { vd520 = vd519, alpha1 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 1 ==> 1
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 paramod: (28293) {G1,W8,D3,L2,V0,M2} { ! greater( vmul( vd517, vd519 ),
% 4.79/5.18 vmul( vd518, vd519 ) ), alpha1 }.
% 4.79/5.18 parent0[0]: (1905) {G4,W4,D2,L2,V0,M2} R(40,237);r(392) { vd520 ==> vd519,
% 4.79/5.18 alpha1 }.
% 4.79/5.18 parent1[0; 7]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd517, vd519 )
% 4.79/5.18 , vmul( vd518, vd520 ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28294) {G2,W2,D1,L2,V0,M2} { alpha1, alpha1 }.
% 4.79/5.18 parent0[0]: (28293) {G1,W8,D3,L2,V0,M2} { ! greater( vmul( vd517, vd519 )
% 4.79/5.18 , vmul( vd518, vd519 ) ), alpha1 }.
% 4.79/5.18 parent1[0]: (323) {G1,W8,D3,L2,V1,M2} R(12,2) { greater( vmul( vd517, X ),
% 4.79/5.18 vmul( vd518, X ) ), alpha1 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 X := vd519
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 factor: (28295) {G2,W1,D1,L1,V0,M1} { alpha1 }.
% 4.79/5.18 parent0[0, 1]: (28294) {G2,W2,D1,L2,V0,M2} { alpha1, alpha1 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (2247) {G5,W1,D1,L1,V0,M1} P(1905,0);r(323) { alpha1 }.
% 4.79/5.18 parent0: (28295) {G2,W1,D1,L1,V0,M1} { alpha1 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 eqswap: (28296) {G4,W4,D2,L2,V0,M2} { vd517 ==> vd518, ! alpha1 }.
% 4.79/5.18 parent0[0]: (1882) {G4,W4,D2,L2,V0,M2} R(40,1204);r(393) { vd518 ==> vd517
% 4.79/5.18 , ! alpha1 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28297) {G5,W3,D2,L1,V0,M1} { vd517 ==> vd518 }.
% 4.79/5.18 parent0[1]: (28296) {G4,W4,D2,L2,V0,M2} { vd517 ==> vd518, ! alpha1 }.
% 4.79/5.18 parent1[0]: (2247) {G5,W1,D1,L1,V0,M1} P(1905,0);r(323) { alpha1 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 eqswap: (28298) {G5,W3,D2,L1,V0,M1} { vd518 ==> vd517 }.
% 4.79/5.18 parent0[0]: (28297) {G5,W3,D2,L1,V0,M1} { vd517 ==> vd518 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (2248) {G6,W3,D2,L1,V0,M1} R(2247,1882) { vd518 ==> vd517 }.
% 4.79/5.18 parent0: (28298) {G5,W3,D2,L1,V0,M1} { vd518 ==> vd517 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28299) {G1,W3,D2,L1,V0,M1} { greater( vd519, vd520 ) }.
% 4.79/5.18 parent0[0]: (3) {G0,W4,D2,L2,V0,M2} I { ! alpha1, greater( vd519, vd520 )
% 4.79/5.18 }.
% 4.79/5.18 parent1[0]: (2247) {G5,W1,D1,L1,V0,M1} P(1905,0);r(323) { alpha1 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (2256) {G6,W3,D2,L1,V0,M1} R(2247,3) { greater( vd519, vd520 )
% 4.79/5.18 }.
% 4.79/5.18 parent0: (28299) {G1,W3,D2,L1,V0,M1} { greater( vd519, vd520 ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28300) {G1,W7,D3,L1,V1,M1} { greater( vmul( vd519, X ), vmul
% 4.79/5.18 ( vd520, X ) ) }.
% 4.79/5.18 parent0[0]: (12) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vmul
% 4.79/5.18 ( X, Z ), vmul( Y, Z ) ) }.
% 4.79/5.18 parent1[0]: (2256) {G6,W3,D2,L1,V0,M1} R(2247,3) { greater( vd519, vd520 )
% 4.79/5.18 }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := vd519
% 4.79/5.18 Y := vd520
% 4.79/5.18 Z := X
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (2907) {G7,W7,D3,L1,V1,M1} R(2256,12) { greater( vmul( vd519,
% 4.79/5.18 X ), vmul( vd520, X ) ) }.
% 4.79/5.18 parent0: (28300) {G1,W7,D3,L1,V1,M1} { greater( vmul( vd519, X ), vmul(
% 4.79/5.18 vd520, X ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := X
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 paramod: (28302) {G2,W7,D3,L1,V0,M1} { ! greater( vmul( vd519, vd517 ),
% 4.79/5.18 vmul( vd517, vd520 ) ) }.
% 4.79/5.18 parent0[0]: (2248) {G6,W3,D2,L1,V0,M1} R(2247,1882) { vd518 ==> vd517 }.
% 4.79/5.18 parent1[0; 6]: (426) {G1,W7,D3,L1,V0,M1} P(15,0) { ! greater( vmul( vd519,
% 4.79/5.18 vd517 ), vmul( vd518, vd520 ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (20114) {G7,W7,D3,L1,V0,M1} S(426);d(2248) { ! greater( vmul(
% 4.79/5.18 vd519, vd517 ), vmul( vd517, vd520 ) ) }.
% 4.79/5.18 parent0: (28302) {G2,W7,D3,L1,V0,M1} { ! greater( vmul( vd519, vd517 ),
% 4.79/5.18 vmul( vd517, vd520 ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 paramod: (28304) {G1,W7,D3,L1,V1,M1} { greater( vmul( vd519, X ), vmul( X
% 4.79/5.18 , vd520 ) ) }.
% 4.79/5.18 parent0[0]: (15) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 4.79/5.18 parent1[0; 4]: (2907) {G7,W7,D3,L1,V1,M1} R(2256,12) { greater( vmul( vd519
% 4.79/5.18 , X ), vmul( vd520, X ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := vd520
% 4.79/5.18 Y := X
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 X := X
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (25140) {G8,W7,D3,L1,V1,M1} P(15,2907) { greater( vmul( vd519
% 4.79/5.18 , X ), vmul( X, vd520 ) ) }.
% 4.79/5.18 parent0: (28304) {G1,W7,D3,L1,V1,M1} { greater( vmul( vd519, X ), vmul( X
% 4.79/5.18 , vd520 ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 X := X
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 0 ==> 0
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 resolution: (28307) {G8,W0,D0,L0,V0,M0} { }.
% 4.79/5.18 parent0[0]: (20114) {G7,W7,D3,L1,V0,M1} S(426);d(2248) { ! greater( vmul(
% 4.79/5.18 vd519, vd517 ), vmul( vd517, vd520 ) ) }.
% 4.79/5.18 parent1[0]: (25140) {G8,W7,D3,L1,V1,M1} P(15,2907) { greater( vmul( vd519,
% 4.79/5.18 X ), vmul( X, vd520 ) ) }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 substitution1:
% 4.79/5.18 X := vd517
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 subsumption: (28114) {G9,W0,D0,L0,V0,M0} S(20114);r(25140) { }.
% 4.79/5.18 parent0: (28307) {G8,W0,D0,L0,V0,M0} { }.
% 4.79/5.18 substitution0:
% 4.79/5.18 end
% 4.79/5.18 permutation0:
% 4.79/5.18 end
% 4.79/5.18
% 4.79/5.18 Proof check complete!
% 4.79/5.18
% 4.79/5.18 Memory use:
% 4.79/5.18
% 4.79/5.18 space for terms: 379531
% 4.79/5.18 space for clauses: 1253773
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 clauses generated: 118207
% 4.79/5.18 clauses kept: 28115
% 4.79/5.18 clauses selected: 805
% 4.79/5.18 clauses deleted: 2499
% 4.79/5.18 clauses inuse deleted: 102
% 4.79/5.18
% 4.79/5.18 subsentry: 967811
% 4.79/5.18 literals s-matched: 653790
% 4.79/5.18 literals matched: 643017
% 4.79/5.18 full subsumption: 334009
% 4.79/5.18
% 4.79/5.18 checksum: -710422832
% 4.79/5.18
% 4.79/5.18
% 4.79/5.18 Bliksem ended
%------------------------------------------------------------------------------