TSTP Solution File: KLE090+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KLE090+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 : Sun Jul 17 01:37:08 EDT 2022
% Result : Theorem 238.19s 238.59s
% Output : Refutation 238.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE090+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 16 14:47:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 23.47/23.83 *** allocated 10000 integers for termspace/termends
% 23.47/23.83 *** allocated 10000 integers for clauses
% 23.47/23.83 *** allocated 10000 integers for justifications
% 23.47/23.83 Bliksem 1.12
% 23.47/23.83
% 23.47/23.83
% 23.47/23.83 Automatic Strategy Selection
% 23.47/23.83
% 23.47/23.83
% 23.47/23.83 Clauses:
% 23.47/23.83
% 23.47/23.83 { addition( X, Y ) = addition( Y, X ) }.
% 23.47/23.83 { addition( Z, addition( Y, X ) ) = addition( addition( Z, Y ), X ) }.
% 23.47/23.83 { addition( X, zero ) = X }.
% 23.47/23.83 { addition( X, X ) = X }.
% 23.47/23.83 { multiplication( X, multiplication( Y, Z ) ) = multiplication(
% 23.47/23.83 multiplication( X, Y ), Z ) }.
% 23.47/23.83 { multiplication( X, one ) = X }.
% 23.47/23.83 { multiplication( one, X ) = X }.
% 23.47/23.83 { multiplication( X, addition( Y, Z ) ) = addition( multiplication( X, Y )
% 23.47/23.83 , multiplication( X, Z ) ) }.
% 23.47/23.83 { multiplication( addition( X, Y ), Z ) = addition( multiplication( X, Z )
% 23.47/23.83 , multiplication( Y, Z ) ) }.
% 23.47/23.83 { multiplication( X, zero ) = zero }.
% 23.47/23.83 { multiplication( zero, X ) = zero }.
% 23.47/23.83 { ! leq( X, Y ), addition( X, Y ) = Y }.
% 23.47/23.83 { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 23.47/23.83 { multiplication( antidomain( X ), X ) = zero }.
% 23.47/23.83 { addition( antidomain( multiplication( X, Y ) ), antidomain(
% 23.47/23.83 multiplication( X, antidomain( antidomain( Y ) ) ) ) ) = antidomain(
% 23.47/23.83 multiplication( X, antidomain( antidomain( Y ) ) ) ) }.
% 23.47/23.83 { addition( antidomain( antidomain( X ) ), antidomain( X ) ) = one }.
% 23.47/23.83 { domain( X ) = antidomain( antidomain( X ) ) }.
% 23.47/23.83 { multiplication( X, coantidomain( X ) ) = zero }.
% 23.47/23.83 { addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 23.47/23.83 multiplication( coantidomain( coantidomain( X ) ), Y ) ) ) = coantidomain
% 23.47/23.83 ( multiplication( coantidomain( coantidomain( X ) ), Y ) ) }.
% 23.47/23.83 { addition( coantidomain( coantidomain( X ) ), coantidomain( X ) ) = one }
% 23.47/23.83 .
% 23.47/23.83 { codomain( X ) = coantidomain( coantidomain( X ) ) }.
% 23.47/23.83 { addition( skol1, skol2 ) = skol2 }.
% 23.47/23.83 { ! addition( antidomain( skol2 ), antidomain( skol1 ) ) = antidomain(
% 23.47/23.83 skol1 ) }.
% 23.47/23.83
% 23.47/23.83 percentage equality = 0.920000, percentage horn = 1.000000
% 23.47/23.83 This is a pure equality problem
% 23.47/23.83
% 23.47/23.83
% 23.47/23.83
% 23.47/23.83 Options Used:
% 23.47/23.83
% 23.47/23.83 useres = 1
% 23.47/23.83 useparamod = 1
% 23.47/23.83 useeqrefl = 1
% 23.47/23.83 useeqfact = 1
% 23.47/23.83 usefactor = 1
% 23.47/23.83 usesimpsplitting = 0
% 23.47/23.83 usesimpdemod = 5
% 23.47/23.83 usesimpres = 3
% 23.47/23.83
% 23.47/23.83 resimpinuse = 1000
% 23.47/23.83 resimpclauses = 20000
% 23.47/23.83 substype = eqrewr
% 23.47/23.83 backwardsubs = 1
% 23.47/23.83 selectoldest = 5
% 23.47/23.83
% 23.47/23.83 litorderings [0] = split
% 23.47/23.83 litorderings [1] = extend the termordering, first sorting on arguments
% 23.47/23.83
% 23.47/23.83 termordering = kbo
% 23.47/23.83
% 23.47/23.83 litapriori = 0
% 23.47/23.83 termapriori = 1
% 23.47/23.83 litaposteriori = 0
% 23.47/23.83 termaposteriori = 0
% 23.47/23.83 demodaposteriori = 0
% 23.47/23.83 ordereqreflfact = 0
% 23.47/23.83
% 23.47/23.83 litselect = negord
% 23.47/23.83
% 23.47/23.83 maxweight = 15
% 23.47/23.83 maxdepth = 30000
% 23.47/23.83 maxlength = 115
% 23.47/23.83 maxnrvars = 195
% 23.47/23.83 excuselevel = 1
% 23.47/23.83 increasemaxweight = 1
% 23.47/23.83
% 23.47/23.83 maxselected = 10000000
% 23.47/23.83 maxnrclauses = 10000000
% 23.47/23.83
% 23.47/23.83 showgenerated = 0
% 23.47/23.83 showkept = 0
% 23.47/23.83 showselected = 0
% 23.47/23.83 showdeleted = 0
% 23.47/23.83 showresimp = 1
% 23.47/23.83 showstatus = 2000
% 23.47/23.83
% 23.47/23.83 prologoutput = 0
% 23.47/23.83 nrgoals = 5000000
% 23.47/23.83 totalproof = 1
% 23.47/23.83
% 23.47/23.83 Symbols occurring in the translation:
% 23.47/23.83
% 23.47/23.83 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 23.47/23.83 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 23.47/23.83 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 23.47/23.83 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 23.47/23.83 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 23.47/23.83 addition [37, 2] (w:1, o:48, a:1, s:1, b:0),
% 23.47/23.83 zero [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 23.47/23.83 multiplication [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 23.47/23.83 one [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 23.47/23.83 leq [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 23.47/23.83 antidomain [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 23.47/23.83 domain [46, 1] (w:1, o:23, a:1, s:1, b:0),
% 23.47/23.83 coantidomain [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 23.47/23.83 codomain [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 23.47/23.83 skol1 [49, 0] (w:1, o:13, a:1, s:1, b:1),
% 23.47/23.83 skol2 [50, 0] (w:1, o:14, a:1, s:1, b:1).
% 23.47/23.83
% 23.47/23.83
% 23.47/23.83 Starting Search:
% 23.47/23.83
% 23.47/23.83 *** allocated 15000 integers for clauses
% 23.47/23.83 *** allocated 22500 integers for clauses
% 23.47/23.83 *** allocated 33750 integers for clauses
% 23.47/23.83 *** allocated 50625 integers for clauses
% 23.47/23.83 *** allocated 75937 integers for clauses
% 23.47/23.83 *** allocated 15000 integers for termspace/termends
% 23.47/23.83 Resimplifying inuse:
% 23.47/23.83 Done
% 23.47/23.83
% 23.47/23.83 *** allocated 113905 integers for clauses
% 23.47/23.83 *** allocated 22500 integers for termspace/termends
% 23.47/23.83 *** allocated 170857 integers for clauses
% 159.93/160.30 *** allocated 33750 integers for termspace/termends
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 17118
% 159.93/160.30 Kept: 2003
% 159.93/160.30 Inuse: 282
% 159.93/160.30 Deleted: 38
% 159.93/160.30 Deletedinuse: 14
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 *** allocated 256285 integers for clauses
% 159.93/160.30 *** allocated 50625 integers for termspace/termends
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 44821
% 159.93/160.30 Kept: 4009
% 159.93/160.30 Inuse: 466
% 159.93/160.30 Deleted: 71
% 159.93/160.30 Deletedinuse: 31
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 *** allocated 75937 integers for termspace/termends
% 159.93/160.30 *** allocated 384427 integers for clauses
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 64717
% 159.93/160.30 Kept: 6081
% 159.93/160.30 Inuse: 651
% 159.93/160.30 Deleted: 131
% 159.93/160.30 Deletedinuse: 31
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 *** allocated 113905 integers for termspace/termends
% 159.93/160.30 *** allocated 576640 integers for clauses
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 87273
% 159.93/160.30 Kept: 8194
% 159.93/160.30 Inuse: 738
% 159.93/160.30 Deleted: 133
% 159.93/160.30 Deletedinuse: 33
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 *** allocated 170857 integers for termspace/termends
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 118701
% 159.93/160.30 Kept: 10197
% 159.93/160.30 Inuse: 856
% 159.93/160.30 Deleted: 136
% 159.93/160.30 Deletedinuse: 35
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 *** allocated 864960 integers for clauses
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 147763
% 159.93/160.30 Kept: 12210
% 159.93/160.30 Inuse: 963
% 159.93/160.30 Deleted: 138
% 159.93/160.30 Deletedinuse: 35
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 *** allocated 256285 integers for termspace/termends
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 185514
% 159.93/160.30 Kept: 14217
% 159.93/160.30 Inuse: 1097
% 159.93/160.30 Deleted: 148
% 159.93/160.30 Deletedinuse: 36
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 221599
% 159.93/160.30 Kept: 16217
% 159.93/160.30 Inuse: 1175
% 159.93/160.30 Deleted: 158
% 159.93/160.30 Deletedinuse: 36
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 *** allocated 1297440 integers for clauses
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 255323
% 159.93/160.30 Kept: 18238
% 159.93/160.30 Inuse: 1306
% 159.93/160.30 Deleted: 172
% 159.93/160.30 Deletedinuse: 41
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 *** allocated 384427 integers for termspace/termends
% 159.93/160.30 Resimplifying clauses:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 298296
% 159.93/160.30 Kept: 20299
% 159.93/160.30 Inuse: 1424
% 159.93/160.30 Deleted: 1634
% 159.93/160.30 Deletedinuse: 45
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 314842
% 159.93/160.30 Kept: 22302
% 159.93/160.30 Inuse: 1476
% 159.93/160.30 Deleted: 1634
% 159.93/160.30 Deletedinuse: 45
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 344187
% 159.93/160.30 Kept: 24305
% 159.93/160.30 Inuse: 1531
% 159.93/160.30 Deleted: 1634
% 159.93/160.30 Deletedinuse: 45
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 380063
% 159.93/160.30 Kept: 26307
% 159.93/160.30 Inuse: 1614
% 159.93/160.30 Deleted: 1635
% 159.93/160.30 Deletedinuse: 46
% 159.93/160.30
% 159.93/160.30 *** allocated 1946160 integers for clauses
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 441764
% 159.93/160.30 Kept: 28348
% 159.93/160.30 Inuse: 1657
% 159.93/160.30 Deleted: 1637
% 159.93/160.30 Deletedinuse: 48
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 *** allocated 576640 integers for termspace/termends
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 497871
% 159.93/160.30 Kept: 30353
% 159.93/160.30 Inuse: 1774
% 159.93/160.30 Deleted: 1639
% 159.93/160.30 Deletedinuse: 50
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 550881
% 159.93/160.30 Kept: 32425
% 159.93/160.30 Inuse: 1893
% 159.93/160.30 Deleted: 1647
% 159.93/160.30 Deletedinuse: 57
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 584171
% 159.93/160.30 Kept: 34670
% 159.93/160.30 Inuse: 1929
% 159.93/160.30 Deleted: 1648
% 159.93/160.30 Deletedinuse: 58
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 637511
% 159.93/160.30 Kept: 37043
% 159.93/160.30 Inuse: 1999
% 159.93/160.30 Deleted: 1653
% 159.93/160.30 Deletedinuse: 62
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 680628
% 159.93/160.30 Kept: 39055
% 159.93/160.30 Inuse: 2054
% 159.93/160.30 Deleted: 1655
% 159.93/160.30 Deletedinuse: 63
% 159.93/160.30
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 *** allocated 2919240 integers for clauses
% 159.93/160.30 Resimplifying inuse:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30 Resimplifying clauses:
% 159.93/160.30 Done
% 159.93/160.30
% 159.93/160.30
% 159.93/160.30 Intermediate Status:
% 159.93/160.30 Generated: 717770
% 159.93/160.30 Kept: 41255
% 238.19/238.59 Inuse: 2073
% 238.19/238.59 Deleted: 3671
% 238.19/238.59 Deletedinuse: 63
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 *** allocated 864960 integers for termspace/termends
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 766996
% 238.19/238.59 Kept: 43523
% 238.19/238.59 Inuse: 2150
% 238.19/238.59 Deleted: 3672
% 238.19/238.59 Deletedinuse: 64
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 811610
% 238.19/238.59 Kept: 45589
% 238.19/238.59 Inuse: 2249
% 238.19/238.59 Deleted: 3678
% 238.19/238.59 Deletedinuse: 67
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 849278
% 238.19/238.59 Kept: 47607
% 238.19/238.59 Inuse: 2330
% 238.19/238.59 Deleted: 3678
% 238.19/238.59 Deletedinuse: 67
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 889713
% 238.19/238.59 Kept: 49655
% 238.19/238.59 Inuse: 2409
% 238.19/238.59 Deleted: 3685
% 238.19/238.59 Deletedinuse: 72
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 947085
% 238.19/238.59 Kept: 51658
% 238.19/238.59 Inuse: 2480
% 238.19/238.59 Deleted: 3685
% 238.19/238.59 Deletedinuse: 72
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 983465
% 238.19/238.59 Kept: 53661
% 238.19/238.59 Inuse: 2546
% 238.19/238.59 Deleted: 3685
% 238.19/238.59 Deletedinuse: 72
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1067539
% 238.19/238.59 Kept: 55717
% 238.19/238.59 Inuse: 2654
% 238.19/238.59 Deleted: 3689
% 238.19/238.59 Deletedinuse: 76
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1150256
% 238.19/238.59 Kept: 57726
% 238.19/238.59 Inuse: 2739
% 238.19/238.59 Deleted: 3691
% 238.19/238.59 Deletedinuse: 78
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1242626
% 238.19/238.59 Kept: 59850
% 238.19/238.59 Inuse: 2814
% 238.19/238.59 Deleted: 3703
% 238.19/238.59 Deletedinuse: 90
% 238.19/238.59
% 238.19/238.59 Resimplifying clauses:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 *** allocated 4378860 integers for clauses
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1348267
% 238.19/238.59 Kept: 61862
% 238.19/238.59 Inuse: 2901
% 238.19/238.59 Deleted: 5103
% 238.19/238.59 Deletedinuse: 90
% 238.19/238.59
% 238.19/238.59 *** allocated 1297440 integers for termspace/termends
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1395617
% 238.19/238.59 Kept: 63879
% 238.19/238.59 Inuse: 2977
% 238.19/238.59 Deleted: 5113
% 238.19/238.59 Deletedinuse: 97
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1450378
% 238.19/238.59 Kept: 65881
% 238.19/238.59 Inuse: 3041
% 238.19/238.59 Deleted: 5113
% 238.19/238.59 Deletedinuse: 97
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1503917
% 238.19/238.59 Kept: 67913
% 238.19/238.59 Inuse: 3113
% 238.19/238.59 Deleted: 5117
% 238.19/238.59 Deletedinuse: 99
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1593182
% 238.19/238.59 Kept: 70453
% 238.19/238.59 Inuse: 3210
% 238.19/238.59 Deleted: 5128
% 238.19/238.59 Deletedinuse: 102
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1678210
% 238.19/238.59 Kept: 72584
% 238.19/238.59 Inuse: 3264
% 238.19/238.59 Deleted: 5129
% 238.19/238.59 Deletedinuse: 102
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1741911
% 238.19/238.59 Kept: 74600
% 238.19/238.59 Inuse: 3370
% 238.19/238.59 Deleted: 5133
% 238.19/238.59 Deletedinuse: 102
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1851586
% 238.19/238.59 Kept: 76848
% 238.19/238.59 Inuse: 3446
% 238.19/238.59 Deleted: 5141
% 238.19/238.59 Deletedinuse: 106
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 1903585
% 238.19/238.59 Kept: 78866
% 238.19/238.59 Inuse: 3492
% 238.19/238.59 Deleted: 5142
% 238.19/238.59 Deletedinuse: 106
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying clauses:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2000687
% 238.19/238.59 Kept: 81109
% 238.19/238.59 Inuse: 3585
% 238.19/238.59 Deleted: 7241
% 238.19/238.59 Deletedinuse: 114
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2150997
% 238.19/238.59 Kept: 83116
% 238.19/238.59 Inuse: 3652
% 238.19/238.59 Deleted: 7245
% 238.19/238.59 Deletedinuse: 118
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2208167
% 238.19/238.59 Kept: 85166
% 238.19/238.59 Inuse: 3711
% 238.19/238.59 Deleted: 7251
% 238.19/238.59 Deletedinuse: 120
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2257400
% 238.19/238.59 Kept: 87569
% 238.19/238.59 Inuse: 3746
% 238.19/238.59 Deleted: 7254
% 238.19/238.59 Deletedinuse: 123
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2311114
% 238.19/238.59 Kept: 89615
% 238.19/238.59 Inuse: 3809
% 238.19/238.59 Deleted: 7256
% 238.19/238.59 Deletedinuse: 125
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 *** allocated 6568290 integers for clauses
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2379502
% 238.19/238.59 Kept: 91882
% 238.19/238.59 Inuse: 3882
% 238.19/238.59 Deleted: 7259
% 238.19/238.59 Deletedinuse: 128
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 *** allocated 1946160 integers for termspace/termends
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2414281
% 238.19/238.59 Kept: 93900
% 238.19/238.59 Inuse: 3910
% 238.19/238.59 Deleted: 7259
% 238.19/238.59 Deletedinuse: 128
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2477423
% 238.19/238.59 Kept: 96511
% 238.19/238.59 Inuse: 3926
% 238.19/238.59 Deleted: 7263
% 238.19/238.59 Deletedinuse: 128
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2542374
% 238.19/238.59 Kept: 98528
% 238.19/238.59 Inuse: 4005
% 238.19/238.59 Deleted: 7268
% 238.19/238.59 Deletedinuse: 129
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2628817
% 238.19/238.59 Kept: 100534
% 238.19/238.59 Inuse: 4120
% 238.19/238.59 Deleted: 7288
% 238.19/238.59 Deletedinuse: 134
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying clauses:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2686475
% 238.19/238.59 Kept: 102584
% 238.19/238.59 Inuse: 4192
% 238.19/238.59 Deleted: 8351
% 238.19/238.59 Deletedinuse: 137
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2732284
% 238.19/238.59 Kept: 104640
% 238.19/238.59 Inuse: 4250
% 238.19/238.59 Deleted: 8354
% 238.19/238.59 Deletedinuse: 138
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2760258
% 238.19/238.59 Kept: 106834
% 238.19/238.59 Inuse: 4286
% 238.19/238.59 Deleted: 8354
% 238.19/238.59 Deletedinuse: 138
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2800475
% 238.19/238.59 Kept: 108942
% 238.19/238.59 Inuse: 4331
% 238.19/238.59 Deleted: 8354
% 238.19/238.59 Deletedinuse: 138
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Intermediate Status:
% 238.19/238.59 Generated: 2835103
% 238.19/238.59 Kept: 110976
% 238.19/238.59 Inuse: 4371
% 238.19/238.59 Deleted: 8354
% 238.19/238.59 Deletedinuse: 138
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59 Resimplifying inuse:
% 238.19/238.59 Done
% 238.19/238.59
% 238.19/238.59
% 238.19/238.59 Bliksems!, er is een bewijs:
% 238.19/238.59 % SZS status Theorem
% 238.19/238.59 % SZS output start Refutation
% 238.19/238.59
% 238.19/238.59 (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X ) }.
% 238.19/238.59 (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) ) ==> addition(
% 238.19/238.59 addition( Z, Y ), X ) }.
% 238.19/238.59 (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 238.19/238.59 (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 238.19/238.59 (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 238.19/238.59 (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 238.19/238.59 (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 238.19/238.59 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 238.19/238.59 (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 238.19/238.59 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 238.19/238.59 (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==> zero }.
% 238.19/238.59 (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y ) ==> Y }.
% 238.19/238.59 (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X, Y ) }.
% 238.19/238.59 (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X ) ==> zero
% 238.19/238.60 }.
% 238.19/238.60 (14) {G0,W18,D7,L1,V2,M1} I { addition( antidomain( multiplication( X, Y )
% 238.19/238.60 ), antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) )
% 238.19/238.60 ==> antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) }.
% 238.19/238.60 (15) {G0,W8,D5,L1,V1,M1} I { addition( antidomain( antidomain( X ) ),
% 238.19/238.60 antidomain( X ) ) ==> one }.
% 238.19/238.60 (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==> domain( X )
% 238.19/238.60 }.
% 238.19/238.60 (21) {G0,W5,D3,L1,V0,M1} I { addition( skol1, skol2 ) ==> skol2 }.
% 238.19/238.60 (22) {G0,W8,D4,L1,V0,M1} I { ! addition( antidomain( skol2 ), antidomain(
% 238.19/238.60 skol1 ) ) ==> antidomain( skol1 ) }.
% 238.19/238.60 (23) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 238.19/238.60 (24) {G1,W5,D3,L1,V0,M1} P(21,0) { addition( skol2, skol1 ) ==> skol2 }.
% 238.19/238.60 (30) {G1,W9,D4,L1,V2,M1} P(3,1) { addition( addition( Y, X ), X ) ==>
% 238.19/238.60 addition( Y, X ) }.
% 238.19/238.60 (36) {G1,W7,D4,L1,V1,M1} P(16,16) { domain( antidomain( X ) ) ==>
% 238.19/238.60 antidomain( domain( X ) ) }.
% 238.19/238.60 (40) {G1,W4,D3,L1,V0,M1} P(13,5) { antidomain( one ) ==> zero }.
% 238.19/238.60 (41) {G2,W5,D3,L1,V0,M1} P(40,16) { domain( one ) ==> antidomain( zero )
% 238.19/238.60 }.
% 238.19/238.60 (42) {G2,W11,D4,L1,V2,M1} P(13,7);d(23) { multiplication( antidomain( X ),
% 238.19/238.60 addition( X, Y ) ) ==> multiplication( antidomain( X ), Y ) }.
% 238.19/238.60 (50) {G1,W11,D4,L1,V2,M1} P(5,7) { addition( X, multiplication( X, Y ) ) =
% 238.19/238.60 multiplication( X, addition( one, Y ) ) }.
% 238.19/238.60 (63) {G1,W10,D5,L1,V2,M1} P(13,8);d(2) { multiplication( addition( Y,
% 238.19/238.60 antidomain( X ) ), X ) ==> multiplication( Y, X ) }.
% 238.19/238.60 (69) {G1,W11,D4,L1,V2,M1} P(6,8) { addition( multiplication( Y, X ), X ) =
% 238.19/238.60 multiplication( addition( Y, one ), X ) }.
% 238.19/238.60 (71) {G2,W3,D2,L1,V1,M1} R(12,23) { leq( zero, X ) }.
% 238.19/238.60 (73) {G1,W16,D4,L2,V3,M2} P(8,12) { ! multiplication( addition( X, Z ), Y )
% 238.19/238.60 ==> multiplication( Z, Y ), leq( multiplication( X, Y ), multiplication
% 238.19/238.60 ( Z, Y ) ) }.
% 238.19/238.60 (75) {G1,W14,D4,L2,V3,M2} P(1,12) { ! addition( addition( X, Y ), Z ) ==>
% 238.19/238.60 addition( Y, Z ), leq( X, addition( Y, Z ) ) }.
% 238.19/238.60 (78) {G1,W8,D3,L2,V2,M2} P(0,12) { ! addition( Y, X ) ==> Y, leq( X, Y )
% 238.19/238.60 }.
% 238.19/238.60 (80) {G1,W16,D4,L2,V3,M2} P(11,7) { multiplication( X, addition( Y, Z ) )
% 238.19/238.60 ==> multiplication( X, Z ), ! leq( multiplication( X, Y ), multiplication
% 238.19/238.60 ( X, Z ) ) }.
% 238.19/238.60 (84) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero ) }.
% 238.19/238.60 (85) {G1,W8,D3,L2,V2,M2} P(11,0) { addition( Y, X ) ==> Y, ! leq( X, Y )
% 238.19/238.60 }.
% 238.19/238.60 (143) {G1,W16,D6,L1,V2,M1} S(14);d(16) { addition( antidomain(
% 238.19/238.60 multiplication( X, Y ) ), antidomain( multiplication( X, domain( Y ) ) )
% 238.19/238.60 ) ==> antidomain( multiplication( X, domain( Y ) ) ) }.
% 238.19/238.60 (166) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X ), antidomain(
% 238.19/238.60 X ) ) ==> one }.
% 238.19/238.60 (173) {G1,W5,D3,L1,V0,M1} R(22,11) { ! leq( antidomain( skol2 ), antidomain
% 238.19/238.60 ( skol1 ) ) }.
% 238.19/238.60 (343) {G3,W6,D4,L1,V0,M1} P(24,42);d(13) { multiplication( antidomain(
% 238.19/238.60 skol2 ), skol1 ) ==> zero }.
% 238.19/238.60 (364) {G3,W10,D5,L1,V1,M1} P(166,42);d(5) { multiplication( antidomain(
% 238.19/238.60 domain( X ) ), antidomain( X ) ) ==> antidomain( domain( X ) ) }.
% 238.19/238.60 (365) {G2,W6,D4,L1,V1,M1} P(166,30) { addition( one, antidomain( X ) ) ==>
% 238.19/238.60 one }.
% 238.19/238.60 (376) {G3,W4,D3,L1,V0,M1} P(41,166);d(40);d(2) { antidomain( zero ) ==> one
% 238.19/238.60 }.
% 238.19/238.60 (399) {G3,W6,D4,L1,V1,M1} P(365,0) { addition( antidomain( X ), one ) ==>
% 238.19/238.60 one }.
% 238.19/238.60 (594) {G2,W14,D4,L2,V2,M2} P(50,12) { ! multiplication( X, addition( one, Y
% 238.19/238.60 ) ) ==> multiplication( X, Y ), leq( X, multiplication( X, Y ) ) }.
% 238.19/238.60 (970) {G2,W6,D4,L1,V1,M1} P(166,63);d(6) { multiplication( domain( X ), X )
% 238.19/238.60 ==> X }.
% 238.19/238.60 (1042) {G3,W7,D3,L2,V1,M2} P(84,970);d(10) { ! leq( domain( X ), zero ),
% 238.19/238.60 zero = X }.
% 238.19/238.60 (1045) {G4,W6,D4,L1,V1,M1} P(36,970);d(364) { antidomain( domain( X ) ) ==>
% 238.19/238.60 antidomain( X ) }.
% 238.19/238.60 (1371) {G4,W6,D4,L1,V2,M1} P(399,73);q;d(6) { leq( multiplication(
% 238.19/238.60 antidomain( X ), Y ), Y ) }.
% 238.19/238.60 (1474) {G2,W8,D3,L2,V3,M2} P(11,75);q { leq( X, addition( Y, Z ) ), ! leq(
% 238.19/238.60 X, Y ) }.
% 238.19/238.60 (1479) {G2,W5,D3,L1,V2,M1} P(3,75);q { leq( X, addition( X, Y ) ) }.
% 238.19/238.60 (1509) {G3,W7,D4,L1,V3,M1} P(1,1479) { leq( X, addition( addition( X, Y ),
% 238.19/238.60 Z ) ) }.
% 238.19/238.60 (1510) {G3,W5,D3,L1,V2,M1} P(0,1479) { leq( X, addition( Y, X ) ) }.
% 238.19/238.60 (1521) {G4,W7,D4,L1,V2,M1} P(69,1510) { leq( Y, multiplication( addition( X
% 238.19/238.60 , one ), Y ) ) }.
% 238.19/238.60 (1601) {G2,W15,D4,L2,V2,M2} P(166,80);d(5) { ! leq( multiplication( Y,
% 238.19/238.60 domain( X ) ), multiplication( Y, antidomain( X ) ) ), multiplication( Y
% 238.19/238.60 , antidomain( X ) ) ==> Y }.
% 238.19/238.60 (3058) {G4,W8,D3,L2,V3,M2} P(11,1509) { leq( X, Z ), ! leq( addition( X, Y
% 238.19/238.60 ), Z ) }.
% 238.19/238.60 (3226) {G5,W8,D3,L2,V2,M2} P(85,1521) { leq( Y, multiplication( X, Y ) ), !
% 238.19/238.60 leq( one, X ) }.
% 238.19/238.60 (4070) {G4,W8,D5,L1,V0,M1} P(343,143);d(376);d(365) { antidomain(
% 238.19/238.60 multiplication( antidomain( skol2 ), domain( skol1 ) ) ) ==> one }.
% 238.19/238.60 (4688) {G5,W7,D4,L1,V1,M1} R(3058,173) { ! leq( addition( antidomain( skol2
% 238.19/238.60 ), X ), antidomain( skol1 ) ) }.
% 238.19/238.60 (5510) {G6,W8,D3,L2,V1,M2} P(11,4688) { ! leq( X, antidomain( skol1 ) ), !
% 238.19/238.60 leq( antidomain( skol2 ), X ) }.
% 238.19/238.60 (11330) {G6,W7,D3,L2,V1,M2} P(13,3226) { leq( X, zero ), ! leq( one,
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 (11427) {G7,W7,D3,L2,V2,M2} R(11330,1474);d(23) { ! leq( one, antidomain( X
% 238.19/238.60 ) ), leq( X, Y ) }.
% 238.19/238.60 (11736) {G8,W7,D3,L2,V2,M2} R(11427,78);d(399) { leq( X, Y ), ! antidomain
% 238.19/238.60 ( X ) ==> one }.
% 238.19/238.60 (11834) {G9,W7,D3,L2,V1,M2} R(11736,1042);d(1045) { zero = X, ! antidomain
% 238.19/238.60 ( X ) ==> one }.
% 238.19/238.60 (17302) {G7,W8,D4,L1,V1,M1} R(5510,1371) { ! leq( antidomain( skol2 ),
% 238.19/238.60 multiplication( antidomain( X ), antidomain( skol1 ) ) ) }.
% 238.19/238.60 (35212) {G8,W8,D4,L1,V0,M1} R(594,17302);d(365);d(5) { ! multiplication(
% 238.19/238.60 antidomain( skol2 ), antidomain( skol1 ) ) ==> antidomain( skol2 ) }.
% 238.19/238.60 (68121) {G10,W7,D4,L1,V0,M1} R(4070,11834) { multiplication( antidomain(
% 238.19/238.60 skol2 ), domain( skol1 ) ) ==> zero }.
% 238.19/238.60 (112582) {G11,W0,D0,L0,V0,M0} R(1601,35212);d(68121);r(71) { }.
% 238.19/238.60
% 238.19/238.60
% 238.19/238.60 % SZS output end Refutation
% 238.19/238.60 found a proof!
% 238.19/238.60
% 238.19/238.60
% 238.19/238.60 Unprocessed initial clauses:
% 238.19/238.60
% 238.19/238.60 (112584) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X ) }.
% 238.19/238.60 (112585) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) = addition
% 238.19/238.60 ( addition( Z, Y ), X ) }.
% 238.19/238.60 (112586) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 238.19/238.60 (112587) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 238.19/238.60 (112588) {G0,W11,D4,L1,V3,M1} { multiplication( X, multiplication( Y, Z )
% 238.19/238.60 ) = multiplication( multiplication( X, Y ), Z ) }.
% 238.19/238.60 (112589) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 238.19/238.60 (112590) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 238.19/238.60 (112591) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z ) ) =
% 238.19/238.60 addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 238.19/238.60 (112592) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y ), Z ) =
% 238.19/238.60 addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 238.19/238.60 (112593) {G0,W5,D3,L1,V1,M1} { multiplication( X, zero ) = zero }.
% 238.19/238.60 (112594) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero }.
% 238.19/238.60 (112595) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) = Y }.
% 238.19/238.60 (112596) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 238.19/238.60 (112597) {G0,W6,D4,L1,V1,M1} { multiplication( antidomain( X ), X ) = zero
% 238.19/238.60 }.
% 238.19/238.60 (112598) {G0,W18,D7,L1,V2,M1} { addition( antidomain( multiplication( X, Y
% 238.19/238.60 ) ), antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) )
% 238.19/238.60 = antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) }.
% 238.19/238.60 (112599) {G0,W8,D5,L1,V1,M1} { addition( antidomain( antidomain( X ) ),
% 238.19/238.60 antidomain( X ) ) = one }.
% 238.19/238.60 (112600) {G0,W6,D4,L1,V1,M1} { domain( X ) = antidomain( antidomain( X ) )
% 238.19/238.60 }.
% 238.19/238.60 (112601) {G0,W6,D4,L1,V1,M1} { multiplication( X, coantidomain( X ) ) =
% 238.19/238.60 zero }.
% 238.19/238.60 (112602) {G0,W18,D7,L1,V2,M1} { addition( coantidomain( multiplication( X
% 238.19/238.60 , Y ) ), coantidomain( multiplication( coantidomain( coantidomain( X ) )
% 238.19/238.60 , Y ) ) ) = coantidomain( multiplication( coantidomain( coantidomain( X )
% 238.19/238.60 ), Y ) ) }.
% 238.19/238.60 (112603) {G0,W8,D5,L1,V1,M1} { addition( coantidomain( coantidomain( X ) )
% 238.19/238.60 , coantidomain( X ) ) = one }.
% 238.19/238.60 (112604) {G0,W6,D4,L1,V1,M1} { codomain( X ) = coantidomain( coantidomain
% 238.19/238.60 ( X ) ) }.
% 238.19/238.60 (112605) {G0,W5,D3,L1,V0,M1} { addition( skol1, skol2 ) = skol2 }.
% 238.19/238.60 (112606) {G0,W8,D4,L1,V0,M1} { ! addition( antidomain( skol2 ), antidomain
% 238.19/238.60 ( skol1 ) ) = antidomain( skol1 ) }.
% 238.19/238.60
% 238.19/238.60
% 238.19/238.60 Total Proof:
% 238.19/238.60
% 238.19/238.60 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X
% 238.19/238.60 ) }.
% 238.19/238.60 parent0: (112584) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X
% 238.19/238.60 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 238.19/238.60 ==> addition( addition( Z, Y ), X ) }.
% 238.19/238.60 parent0: (112585) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) =
% 238.19/238.60 addition( addition( Z, Y ), X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 238.19/238.60 parent0: (112586) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 238.19/238.60 parent0: (112587) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 238.19/238.60 parent0: (112589) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 238.19/238.60 parent0: (112590) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112630) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y ),
% 238.19/238.60 multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 238.19/238.60 parent0[0]: (112591) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y
% 238.19/238.60 , Z ) ) = addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y )
% 238.19/238.60 , multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 238.19/238.60 parent0: (112630) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y )
% 238.19/238.60 , multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112638) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Z ),
% 238.19/238.60 multiplication( Y, Z ) ) = multiplication( addition( X, Y ), Z ) }.
% 238.19/238.60 parent0[0]: (112592) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y
% 238.19/238.60 ), Z ) = addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z )
% 238.19/238.60 , multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 238.19/238.60 parent0: (112638) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Z )
% 238.19/238.60 , multiplication( Y, Z ) ) = multiplication( addition( X, Y ), Z ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==>
% 238.19/238.60 zero }.
% 238.19/238.60 parent0: (112594) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 238.19/238.60 ==> Y }.
% 238.19/238.60 parent0: (112595) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) =
% 238.19/238.60 Y }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X
% 238.19/238.60 , Y ) }.
% 238.19/238.60 parent0: (112596) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y
% 238.19/238.60 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ),
% 238.19/238.60 X ) ==> zero }.
% 238.19/238.60 parent0: (112597) {G0,W6,D4,L1,V1,M1} { multiplication( antidomain( X ), X
% 238.19/238.60 ) = zero }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (14) {G0,W18,D7,L1,V2,M1} I { addition( antidomain(
% 238.19/238.60 multiplication( X, Y ) ), antidomain( multiplication( X, antidomain(
% 238.19/238.60 antidomain( Y ) ) ) ) ) ==> antidomain( multiplication( X, antidomain(
% 238.19/238.60 antidomain( Y ) ) ) ) }.
% 238.19/238.60 parent0: (112598) {G0,W18,D7,L1,V2,M1} { addition( antidomain(
% 238.19/238.60 multiplication( X, Y ) ), antidomain( multiplication( X, antidomain(
% 238.19/238.60 antidomain( Y ) ) ) ) ) = antidomain( multiplication( X, antidomain(
% 238.19/238.60 antidomain( Y ) ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (15) {G0,W8,D5,L1,V1,M1} I { addition( antidomain( antidomain
% 238.19/238.60 ( X ) ), antidomain( X ) ) ==> one }.
% 238.19/238.60 parent0: (112599) {G0,W8,D5,L1,V1,M1} { addition( antidomain( antidomain(
% 238.19/238.60 X ) ), antidomain( X ) ) = one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112729) {G0,W6,D4,L1,V1,M1} { antidomain( antidomain( X ) ) =
% 238.19/238.60 domain( X ) }.
% 238.19/238.60 parent0[0]: (112600) {G0,W6,D4,L1,V1,M1} { domain( X ) = antidomain(
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 238.19/238.60 domain( X ) }.
% 238.19/238.60 parent0: (112729) {G0,W6,D4,L1,V1,M1} { antidomain( antidomain( X ) ) =
% 238.19/238.60 domain( X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (21) {G0,W5,D3,L1,V0,M1} I { addition( skol1, skol2 ) ==>
% 238.19/238.60 skol2 }.
% 238.19/238.60 parent0: (112605) {G0,W5,D3,L1,V0,M1} { addition( skol1, skol2 ) = skol2
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (22) {G0,W8,D4,L1,V0,M1} I { ! addition( antidomain( skol2 ),
% 238.19/238.60 antidomain( skol1 ) ) ==> antidomain( skol1 ) }.
% 238.19/238.60 parent0: (112606) {G0,W8,D4,L1,V0,M1} { ! addition( antidomain( skol2 ),
% 238.19/238.60 antidomain( skol1 ) ) = antidomain( skol1 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112773) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, zero ) }.
% 238.19/238.60 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112774) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 238.19/238.60 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 238.19/238.60 }.
% 238.19/238.60 parent1[0; 2]: (112773) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, zero )
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := zero
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112777) {G1,W5,D3,L1,V1,M1} { addition( zero, X ) ==> X }.
% 238.19/238.60 parent0[0]: (112774) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (23) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X
% 238.19/238.60 }.
% 238.19/238.60 parent0: (112777) {G1,W5,D3,L1,V1,M1} { addition( zero, X ) ==> X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112778) {G0,W5,D3,L1,V0,M1} { skol2 ==> addition( skol1, skol2 )
% 238.19/238.60 }.
% 238.19/238.60 parent0[0]: (21) {G0,W5,D3,L1,V0,M1} I { addition( skol1, skol2 ) ==> skol2
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112779) {G1,W5,D3,L1,V0,M1} { skol2 ==> addition( skol2, skol1 )
% 238.19/238.60 }.
% 238.19/238.60 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 238.19/238.60 }.
% 238.19/238.60 parent1[0; 2]: (112778) {G0,W5,D3,L1,V0,M1} { skol2 ==> addition( skol1,
% 238.19/238.60 skol2 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := skol1
% 238.19/238.60 Y := skol2
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112782) {G1,W5,D3,L1,V0,M1} { addition( skol2, skol1 ) ==> skol2
% 238.19/238.60 }.
% 238.19/238.60 parent0[0]: (112779) {G1,W5,D3,L1,V0,M1} { skol2 ==> addition( skol2,
% 238.19/238.60 skol1 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (24) {G1,W5,D3,L1,V0,M1} P(21,0) { addition( skol2, skol1 )
% 238.19/238.60 ==> skol2 }.
% 238.19/238.60 parent0: (112782) {G1,W5,D3,L1,V0,M1} { addition( skol2, skol1 ) ==> skol2
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112784) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y ), Z )
% 238.19/238.60 ==> addition( X, addition( Y, Z ) ) }.
% 238.19/238.60 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 238.19/238.60 ==> addition( addition( Z, Y ), X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Z
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112790) {G1,W9,D4,L1,V2,M1} { addition( addition( X, Y ), Y )
% 238.19/238.60 ==> addition( X, Y ) }.
% 238.19/238.60 parent0[0]: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 238.19/238.60 parent1[0; 8]: (112784) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y )
% 238.19/238.60 , Z ) ==> addition( X, addition( Y, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (30) {G1,W9,D4,L1,V2,M1} P(3,1) { addition( addition( Y, X ),
% 238.19/238.60 X ) ==> addition( Y, X ) }.
% 238.19/238.60 parent0: (112790) {G1,W9,D4,L1,V2,M1} { addition( addition( X, Y ), Y )
% 238.19/238.60 ==> addition( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112795) {G0,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 238.19/238.60 domain( X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112798) {G1,W7,D4,L1,V1,M1} { domain( antidomain( X ) ) ==>
% 238.19/238.60 antidomain( domain( X ) ) }.
% 238.19/238.60 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 238.19/238.60 domain( X ) }.
% 238.19/238.60 parent1[0; 5]: (112795) {G0,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( X )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (36) {G1,W7,D4,L1,V1,M1} P(16,16) { domain( antidomain( X ) )
% 238.19/238.60 ==> antidomain( domain( X ) ) }.
% 238.19/238.60 parent0: (112798) {G1,W7,D4,L1,V1,M1} { domain( antidomain( X ) ) ==>
% 238.19/238.60 antidomain( domain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112800) {G0,W6,D4,L1,V1,M1} { zero ==> multiplication( antidomain
% 238.19/238.60 ( X ), X ) }.
% 238.19/238.60 parent0[0]: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X
% 238.19/238.60 ) ==> zero }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112802) {G1,W4,D3,L1,V0,M1} { zero ==> antidomain( one ) }.
% 238.19/238.60 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 238.19/238.60 parent1[0; 2]: (112800) {G0,W6,D4,L1,V1,M1} { zero ==> multiplication(
% 238.19/238.60 antidomain( X ), X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := antidomain( one )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := one
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112803) {G1,W4,D3,L1,V0,M1} { antidomain( one ) ==> zero }.
% 238.19/238.60 parent0[0]: (112802) {G1,W4,D3,L1,V0,M1} { zero ==> antidomain( one ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (40) {G1,W4,D3,L1,V0,M1} P(13,5) { antidomain( one ) ==> zero
% 238.19/238.60 }.
% 238.19/238.60 parent0: (112803) {G1,W4,D3,L1,V0,M1} { antidomain( one ) ==> zero }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112805) {G0,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 238.19/238.60 domain( X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112806) {G1,W5,D3,L1,V0,M1} { domain( one ) ==> antidomain( zero
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[0]: (40) {G1,W4,D3,L1,V0,M1} P(13,5) { antidomain( one ) ==> zero
% 238.19/238.60 }.
% 238.19/238.60 parent1[0; 4]: (112805) {G0,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := one
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (41) {G2,W5,D3,L1,V0,M1} P(40,16) { domain( one ) ==>
% 238.19/238.60 antidomain( zero ) }.
% 238.19/238.60 parent0: (112806) {G1,W5,D3,L1,V0,M1} { domain( one ) ==> antidomain( zero
% 238.19/238.60 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112809) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z
% 238.19/238.60 ) ) ==> addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 238.19/238.60 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 238.19/238.60 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112812) {G1,W13,D5,L1,V2,M1} { multiplication( antidomain( X ),
% 238.19/238.60 addition( X, Y ) ) ==> addition( zero, multiplication( antidomain( X ), Y
% 238.19/238.60 ) ) }.
% 238.19/238.60 parent0[0]: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X
% 238.19/238.60 ) ==> zero }.
% 238.19/238.60 parent1[0; 8]: (112809) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition
% 238.19/238.60 ( Y, Z ) ) ==> addition( multiplication( X, Y ), multiplication( X, Z ) )
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( X )
% 238.19/238.60 Y := X
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112814) {G2,W11,D4,L1,V2,M1} { multiplication( antidomain( X ),
% 238.19/238.60 addition( X, Y ) ) ==> multiplication( antidomain( X ), Y ) }.
% 238.19/238.60 parent0[0]: (23) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 238.19/238.60 parent1[0; 7]: (112812) {G1,W13,D5,L1,V2,M1} { multiplication( antidomain
% 238.19/238.60 ( X ), addition( X, Y ) ) ==> addition( zero, multiplication( antidomain
% 238.19/238.60 ( X ), Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := multiplication( antidomain( X ), Y )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (42) {G2,W11,D4,L1,V2,M1} P(13,7);d(23) { multiplication(
% 238.19/238.60 antidomain( X ), addition( X, Y ) ) ==> multiplication( antidomain( X ),
% 238.19/238.60 Y ) }.
% 238.19/238.60 parent0: (112814) {G2,W11,D4,L1,V2,M1} { multiplication( antidomain( X ),
% 238.19/238.60 addition( X, Y ) ) ==> multiplication( antidomain( X ), Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112817) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z
% 238.19/238.60 ) ) ==> addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 238.19/238.60 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 238.19/238.60 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112818) {G1,W11,D4,L1,V2,M1} { multiplication( X, addition( one
% 238.19/238.60 , Y ) ) ==> addition( X, multiplication( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 238.19/238.60 parent1[0; 7]: (112817) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition
% 238.19/238.60 ( Y, Z ) ) ==> addition( multiplication( X, Y ), multiplication( X, Z ) )
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := one
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112820) {G1,W11,D4,L1,V2,M1} { addition( X, multiplication( X, Y
% 238.19/238.60 ) ) ==> multiplication( X, addition( one, Y ) ) }.
% 238.19/238.60 parent0[0]: (112818) {G1,W11,D4,L1,V2,M1} { multiplication( X, addition(
% 238.19/238.60 one, Y ) ) ==> addition( X, multiplication( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (50) {G1,W11,D4,L1,V2,M1} P(5,7) { addition( X, multiplication
% 238.19/238.60 ( X, Y ) ) = multiplication( X, addition( one, Y ) ) }.
% 238.19/238.60 parent0: (112820) {G1,W11,D4,L1,V2,M1} { addition( X, multiplication( X, Y
% 238.19/238.60 ) ) ==> multiplication( X, addition( one, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112823) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Z ),
% 238.19/238.60 Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) ) }.
% 238.19/238.60 parent0[0]: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 238.19/238.60 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Z
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112826) {G1,W12,D5,L1,V2,M1} { multiplication( addition( X,
% 238.19/238.60 antidomain( Y ) ), Y ) ==> addition( multiplication( X, Y ), zero ) }.
% 238.19/238.60 parent0[0]: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X
% 238.19/238.60 ) ==> zero }.
% 238.19/238.60 parent1[0; 11]: (112823) {G0,W13,D4,L1,V3,M1} { multiplication( addition(
% 238.19/238.60 X, Z ), Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y )
% 238.19/238.60 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := antidomain( Y )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112827) {G1,W10,D5,L1,V2,M1} { multiplication( addition( X,
% 238.19/238.60 antidomain( Y ) ), Y ) ==> multiplication( X, Y ) }.
% 238.19/238.60 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 238.19/238.60 parent1[0; 7]: (112826) {G1,W12,D5,L1,V2,M1} { multiplication( addition( X
% 238.19/238.60 , antidomain( Y ) ), Y ) ==> addition( multiplication( X, Y ), zero ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := multiplication( X, Y )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (63) {G1,W10,D5,L1,V2,M1} P(13,8);d(2) { multiplication(
% 238.19/238.60 addition( Y, antidomain( X ) ), X ) ==> multiplication( Y, X ) }.
% 238.19/238.60 parent0: (112827) {G1,W10,D5,L1,V2,M1} { multiplication( addition( X,
% 238.19/238.60 antidomain( Y ) ), Y ) ==> multiplication( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112830) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Z ),
% 238.19/238.60 Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) ) }.
% 238.19/238.60 parent0[0]: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 238.19/238.60 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Z
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112832) {G1,W11,D4,L1,V2,M1} { multiplication( addition( X, one
% 238.19/238.60 ), Y ) ==> addition( multiplication( X, Y ), Y ) }.
% 238.19/238.60 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 238.19/238.60 parent1[0; 10]: (112830) {G0,W13,D4,L1,V3,M1} { multiplication( addition(
% 238.19/238.60 X, Z ), Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y )
% 238.19/238.60 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := one
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112834) {G1,W11,D4,L1,V2,M1} { addition( multiplication( X, Y ),
% 238.19/238.60 Y ) ==> multiplication( addition( X, one ), Y ) }.
% 238.19/238.60 parent0[0]: (112832) {G1,W11,D4,L1,V2,M1} { multiplication( addition( X,
% 238.19/238.60 one ), Y ) ==> addition( multiplication( X, Y ), Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (69) {G1,W11,D4,L1,V2,M1} P(6,8) { addition( multiplication( Y
% 238.19/238.60 , X ), X ) = multiplication( addition( Y, one ), X ) }.
% 238.19/238.60 parent0: (112834) {G1,W11,D4,L1,V2,M1} { addition( multiplication( X, Y )
% 238.19/238.60 , Y ) ==> multiplication( addition( X, one ), Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112835) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 238.19/238.60 Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112836) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 238.19/238.60 parent0[0]: (23) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (112837) {G1,W3,D2,L1,V1,M1} { leq( zero, X ) }.
% 238.19/238.60 parent0[0]: (112835) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq(
% 238.19/238.60 X, Y ) }.
% 238.19/238.60 parent1[0]: (112836) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := zero
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (71) {G2,W3,D2,L1,V1,M1} R(12,23) { leq( zero, X ) }.
% 238.19/238.60 parent0: (112837) {G1,W3,D2,L1,V1,M1} { leq( zero, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112839) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 238.19/238.60 Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112840) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Y ) ==>
% 238.19/238.60 multiplication( addition( Z, X ), Y ), leq( multiplication( Z, Y ),
% 238.19/238.60 multiplication( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 238.19/238.60 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 238.19/238.60 parent1[0; 5]: (112839) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ),
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Z
% 238.19/238.60 Y := X
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := multiplication( Z, Y )
% 238.19/238.60 Y := multiplication( X, Y )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112841) {G1,W16,D4,L2,V3,M2} { ! multiplication( addition( Z, X )
% 238.19/238.60 , Y ) ==> multiplication( X, Y ), leq( multiplication( Z, Y ),
% 238.19/238.60 multiplication( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (112840) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Y ) ==>
% 238.19/238.60 multiplication( addition( Z, X ), Y ), leq( multiplication( Z, Y ),
% 238.19/238.60 multiplication( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (73) {G1,W16,D4,L2,V3,M2} P(8,12) { ! multiplication( addition
% 238.19/238.60 ( X, Z ), Y ) ==> multiplication( Z, Y ), leq( multiplication( X, Y ),
% 238.19/238.60 multiplication( Z, Y ) ) }.
% 238.19/238.60 parent0: (112841) {G1,W16,D4,L2,V3,M2} { ! multiplication( addition( Z, X
% 238.19/238.60 ), Y ) ==> multiplication( X, Y ), leq( multiplication( Z, Y ),
% 238.19/238.60 multiplication( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Z
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112843) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 238.19/238.60 Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112844) {G1,W14,D4,L2,V3,M2} { ! addition( X, Y ) ==> addition(
% 238.19/238.60 addition( Z, X ), Y ), leq( Z, addition( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 238.19/238.60 ==> addition( addition( Z, Y ), X ) }.
% 238.19/238.60 parent1[0; 5]: (112843) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ),
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := Z
% 238.19/238.60 Y := addition( X, Y )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112845) {G1,W14,D4,L2,V3,M2} { ! addition( addition( Z, X ), Y )
% 238.19/238.60 ==> addition( X, Y ), leq( Z, addition( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (112844) {G1,W14,D4,L2,V3,M2} { ! addition( X, Y ) ==>
% 238.19/238.60 addition( addition( Z, X ), Y ), leq( Z, addition( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (75) {G1,W14,D4,L2,V3,M2} P(1,12) { ! addition( addition( X, Y
% 238.19/238.60 ), Z ) ==> addition( Y, Z ), leq( X, addition( Y, Z ) ) }.
% 238.19/238.60 parent0: (112845) {G1,W14,D4,L2,V3,M2} { ! addition( addition( Z, X ), Y )
% 238.19/238.60 ==> addition( X, Y ), leq( Z, addition( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := Z
% 238.19/238.60 Z := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112846) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 238.19/238.60 Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112847) {G1,W8,D3,L2,V2,M2} { ! X ==> addition( X, Y ), leq( Y,
% 238.19/238.60 X ) }.
% 238.19/238.60 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 238.19/238.60 }.
% 238.19/238.60 parent1[0; 3]: (112846) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ),
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112850) {G1,W8,D3,L2,V2,M2} { ! addition( X, Y ) ==> X, leq( Y, X
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[0]: (112847) {G1,W8,D3,L2,V2,M2} { ! X ==> addition( X, Y ), leq(
% 238.19/238.60 Y, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (78) {G1,W8,D3,L2,V2,M2} P(0,12) { ! addition( Y, X ) ==> Y,
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 parent0: (112850) {G1,W8,D3,L2,V2,M2} { ! addition( X, Y ) ==> X, leq( Y,
% 238.19/238.60 X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112851) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 238.19/238.60 ==> Y }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112853) {G1,W16,D4,L2,V3,M2} { multiplication( X, Y ) ==>
% 238.19/238.60 multiplication( X, addition( Z, Y ) ), ! leq( multiplication( X, Z ),
% 238.19/238.60 multiplication( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 238.19/238.60 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 238.19/238.60 parent1[0; 4]: (112851) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), !
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Z
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := multiplication( X, Z )
% 238.19/238.60 Y := multiplication( X, Y )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112854) {G1,W16,D4,L2,V3,M2} { multiplication( X, addition( Z, Y
% 238.19/238.60 ) ) ==> multiplication( X, Y ), ! leq( multiplication( X, Z ),
% 238.19/238.60 multiplication( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (112853) {G1,W16,D4,L2,V3,M2} { multiplication( X, Y ) ==>
% 238.19/238.60 multiplication( X, addition( Z, Y ) ), ! leq( multiplication( X, Z ),
% 238.19/238.60 multiplication( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (80) {G1,W16,D4,L2,V3,M2} P(11,7) { multiplication( X,
% 238.19/238.60 addition( Y, Z ) ) ==> multiplication( X, Z ), ! leq( multiplication( X,
% 238.19/238.60 Y ), multiplication( X, Z ) ) }.
% 238.19/238.60 parent0: (112854) {G1,W16,D4,L2,V3,M2} { multiplication( X, addition( Z, Y
% 238.19/238.60 ) ) ==> multiplication( X, Y ), ! leq( multiplication( X, Z ),
% 238.19/238.60 multiplication( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Z
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112855) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 238.19/238.60 ==> Y }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112857) {G1,W6,D2,L2,V1,M2} { zero ==> X, ! leq( X, zero ) }.
% 238.19/238.60 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 238.19/238.60 parent1[0; 2]: (112855) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), !
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := zero
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (84) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero )
% 238.19/238.60 }.
% 238.19/238.60 parent0: (112857) {G1,W6,D2,L2,V1,M2} { zero ==> X, ! leq( X, zero ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112859) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 238.19/238.60 ==> Y }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112860) {G1,W8,D3,L2,V2,M2} { X ==> addition( X, Y ), ! leq( Y,
% 238.19/238.60 X ) }.
% 238.19/238.60 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 238.19/238.60 }.
% 238.19/238.60 parent1[0; 2]: (112859) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), !
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112863) {G1,W8,D3,L2,V2,M2} { addition( X, Y ) ==> X, ! leq( Y, X
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[0]: (112860) {G1,W8,D3,L2,V2,M2} { X ==> addition( X, Y ), ! leq(
% 238.19/238.60 Y, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (85) {G1,W8,D3,L2,V2,M2} P(11,0) { addition( Y, X ) ==> Y, !
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 parent0: (112863) {G1,W8,D3,L2,V2,M2} { addition( X, Y ) ==> X, ! leq( Y,
% 238.19/238.60 X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112867) {G1,W17,D7,L1,V2,M1} { addition( antidomain(
% 238.19/238.60 multiplication( X, Y ) ), antidomain( multiplication( X, antidomain(
% 238.19/238.60 antidomain( Y ) ) ) ) ) ==> antidomain( multiplication( X, domain( Y ) )
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 238.19/238.60 domain( X ) }.
% 238.19/238.60 parent1[0; 15]: (14) {G0,W18,D7,L1,V2,M1} I { addition( antidomain(
% 238.19/238.60 multiplication( X, Y ) ), antidomain( multiplication( X, antidomain(
% 238.19/238.60 antidomain( Y ) ) ) ) ) ==> antidomain( multiplication( X, antidomain(
% 238.19/238.60 antidomain( Y ) ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112868) {G1,W16,D6,L1,V2,M1} { addition( antidomain(
% 238.19/238.60 multiplication( X, Y ) ), antidomain( multiplication( X, domain( Y ) ) )
% 238.19/238.60 ) ==> antidomain( multiplication( X, domain( Y ) ) ) }.
% 238.19/238.60 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 238.19/238.60 domain( X ) }.
% 238.19/238.60 parent1[0; 9]: (112867) {G1,W17,D7,L1,V2,M1} { addition( antidomain(
% 238.19/238.60 multiplication( X, Y ) ), antidomain( multiplication( X, antidomain(
% 238.19/238.60 antidomain( Y ) ) ) ) ) ==> antidomain( multiplication( X, domain( Y ) )
% 238.19/238.60 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (143) {G1,W16,D6,L1,V2,M1} S(14);d(16) { addition( antidomain
% 238.19/238.60 ( multiplication( X, Y ) ), antidomain( multiplication( X, domain( Y ) )
% 238.19/238.60 ) ) ==> antidomain( multiplication( X, domain( Y ) ) ) }.
% 238.19/238.60 parent0: (112868) {G1,W16,D6,L1,V2,M1} { addition( antidomain(
% 238.19/238.60 multiplication( X, Y ) ), antidomain( multiplication( X, domain( Y ) ) )
% 238.19/238.60 ) ==> antidomain( multiplication( X, domain( Y ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112874) {G1,W7,D4,L1,V1,M1} { addition( domain( X ), antidomain
% 238.19/238.60 ( X ) ) ==> one }.
% 238.19/238.60 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 238.19/238.60 domain( X ) }.
% 238.19/238.60 parent1[0; 2]: (15) {G0,W8,D5,L1,V1,M1} I { addition( antidomain(
% 238.19/238.60 antidomain( X ) ), antidomain( X ) ) ==> one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (166) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X )
% 238.19/238.60 , antidomain( X ) ) ==> one }.
% 238.19/238.60 parent0: (112874) {G1,W7,D4,L1,V1,M1} { addition( domain( X ), antidomain
% 238.19/238.60 ( X ) ) ==> one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112876) {G0,W8,D4,L1,V0,M1} { ! antidomain( skol1 ) ==> addition
% 238.19/238.60 ( antidomain( skol2 ), antidomain( skol1 ) ) }.
% 238.19/238.60 parent0[0]: (22) {G0,W8,D4,L1,V0,M1} I { ! addition( antidomain( skol2 ),
% 238.19/238.60 antidomain( skol1 ) ) ==> antidomain( skol1 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112877) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 238.19/238.60 ==> Y }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (112878) {G1,W5,D3,L1,V0,M1} { ! leq( antidomain( skol2 ),
% 238.19/238.60 antidomain( skol1 ) ) }.
% 238.19/238.60 parent0[0]: (112876) {G0,W8,D4,L1,V0,M1} { ! antidomain( skol1 ) ==>
% 238.19/238.60 addition( antidomain( skol2 ), antidomain( skol1 ) ) }.
% 238.19/238.60 parent1[0]: (112877) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq(
% 238.19/238.60 X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( skol2 )
% 238.19/238.60 Y := antidomain( skol1 )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (173) {G1,W5,D3,L1,V0,M1} R(22,11) { ! leq( antidomain( skol2
% 238.19/238.60 ), antidomain( skol1 ) ) }.
% 238.19/238.60 parent0: (112878) {G1,W5,D3,L1,V0,M1} { ! leq( antidomain( skol2 ),
% 238.19/238.60 antidomain( skol1 ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112880) {G2,W11,D4,L1,V2,M1} { multiplication( antidomain( X ), Y
% 238.19/238.60 ) ==> multiplication( antidomain( X ), addition( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (42) {G2,W11,D4,L1,V2,M1} P(13,7);d(23) { multiplication(
% 238.19/238.60 antidomain( X ), addition( X, Y ) ) ==> multiplication( antidomain( X ),
% 238.19/238.60 Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112882) {G2,W9,D4,L1,V0,M1} { multiplication( antidomain( skol2
% 238.19/238.60 ), skol1 ) ==> multiplication( antidomain( skol2 ), skol2 ) }.
% 238.19/238.60 parent0[0]: (24) {G1,W5,D3,L1,V0,M1} P(21,0) { addition( skol2, skol1 ) ==>
% 238.19/238.60 skol2 }.
% 238.19/238.60 parent1[0; 8]: (112880) {G2,W11,D4,L1,V2,M1} { multiplication( antidomain
% 238.19/238.60 ( X ), Y ) ==> multiplication( antidomain( X ), addition( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := skol2
% 238.19/238.60 Y := skol1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112883) {G1,W6,D4,L1,V0,M1} { multiplication( antidomain( skol2
% 238.19/238.60 ), skol1 ) ==> zero }.
% 238.19/238.60 parent0[0]: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X
% 238.19/238.60 ) ==> zero }.
% 238.19/238.60 parent1[0; 5]: (112882) {G2,W9,D4,L1,V0,M1} { multiplication( antidomain(
% 238.19/238.60 skol2 ), skol1 ) ==> multiplication( antidomain( skol2 ), skol2 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := skol2
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (343) {G3,W6,D4,L1,V0,M1} P(24,42);d(13) { multiplication(
% 238.19/238.60 antidomain( skol2 ), skol1 ) ==> zero }.
% 238.19/238.60 parent0: (112883) {G1,W6,D4,L1,V0,M1} { multiplication( antidomain( skol2
% 238.19/238.60 ), skol1 ) ==> zero }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112886) {G2,W11,D4,L1,V2,M1} { multiplication( antidomain( X ), Y
% 238.19/238.60 ) ==> multiplication( antidomain( X ), addition( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (42) {G2,W11,D4,L1,V2,M1} P(13,7);d(23) { multiplication(
% 238.19/238.60 antidomain( X ), addition( X, Y ) ) ==> multiplication( antidomain( X ),
% 238.19/238.60 Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112888) {G2,W12,D5,L1,V1,M1} { multiplication( antidomain(
% 238.19/238.60 domain( X ) ), antidomain( X ) ) ==> multiplication( antidomain( domain(
% 238.19/238.60 X ) ), one ) }.
% 238.19/238.60 parent0[0]: (166) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X ),
% 238.19/238.60 antidomain( X ) ) ==> one }.
% 238.19/238.60 parent1[0; 11]: (112886) {G2,W11,D4,L1,V2,M1} { multiplication( antidomain
% 238.19/238.60 ( X ), Y ) ==> multiplication( antidomain( X ), addition( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := domain( X )
% 238.19/238.60 Y := antidomain( X )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112889) {G1,W10,D5,L1,V1,M1} { multiplication( antidomain(
% 238.19/238.60 domain( X ) ), antidomain( X ) ) ==> antidomain( domain( X ) ) }.
% 238.19/238.60 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 238.19/238.60 parent1[0; 7]: (112888) {G2,W12,D5,L1,V1,M1} { multiplication( antidomain
% 238.19/238.60 ( domain( X ) ), antidomain( X ) ) ==> multiplication( antidomain( domain
% 238.19/238.60 ( X ) ), one ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := antidomain( domain( X ) )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (364) {G3,W10,D5,L1,V1,M1} P(166,42);d(5) { multiplication(
% 238.19/238.60 antidomain( domain( X ) ), antidomain( X ) ) ==> antidomain( domain( X )
% 238.19/238.60 ) }.
% 238.19/238.60 parent0: (112889) {G1,W10,D5,L1,V1,M1} { multiplication( antidomain(
% 238.19/238.60 domain( X ) ), antidomain( X ) ) ==> antidomain( domain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112892) {G1,W9,D4,L1,V2,M1} { addition( X, Y ) ==> addition(
% 238.19/238.60 addition( X, Y ), Y ) }.
% 238.19/238.60 parent0[0]: (30) {G1,W9,D4,L1,V2,M1} P(3,1) { addition( addition( Y, X ), X
% 238.19/238.60 ) ==> addition( Y, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112894) {G2,W10,D4,L1,V1,M1} { addition( domain( X ), antidomain
% 238.19/238.60 ( X ) ) ==> addition( one, antidomain( X ) ) }.
% 238.19/238.60 parent0[0]: (166) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X ),
% 238.19/238.60 antidomain( X ) ) ==> one }.
% 238.19/238.60 parent1[0; 7]: (112892) {G1,W9,D4,L1,V2,M1} { addition( X, Y ) ==>
% 238.19/238.60 addition( addition( X, Y ), Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := domain( X )
% 238.19/238.60 Y := antidomain( X )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112895) {G2,W6,D4,L1,V1,M1} { one ==> addition( one, antidomain
% 238.19/238.60 ( X ) ) }.
% 238.19/238.60 parent0[0]: (166) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X ),
% 238.19/238.60 antidomain( X ) ) ==> one }.
% 238.19/238.60 parent1[0; 1]: (112894) {G2,W10,D4,L1,V1,M1} { addition( domain( X ),
% 238.19/238.60 antidomain( X ) ) ==> addition( one, antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112897) {G2,W6,D4,L1,V1,M1} { addition( one, antidomain( X ) )
% 238.19/238.60 ==> one }.
% 238.19/238.60 parent0[0]: (112895) {G2,W6,D4,L1,V1,M1} { one ==> addition( one,
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (365) {G2,W6,D4,L1,V1,M1} P(166,30) { addition( one,
% 238.19/238.60 antidomain( X ) ) ==> one }.
% 238.19/238.60 parent0: (112897) {G2,W6,D4,L1,V1,M1} { addition( one, antidomain( X ) )
% 238.19/238.60 ==> one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112900) {G1,W7,D4,L1,V1,M1} { one ==> addition( domain( X ),
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 parent0[0]: (166) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X ),
% 238.19/238.60 antidomain( X ) ) ==> one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112903) {G2,W7,D4,L1,V0,M1} { one ==> addition( antidomain( zero
% 238.19/238.60 ), antidomain( one ) ) }.
% 238.19/238.60 parent0[0]: (41) {G2,W5,D3,L1,V0,M1} P(40,16) { domain( one ) ==>
% 238.19/238.60 antidomain( zero ) }.
% 238.19/238.60 parent1[0; 3]: (112900) {G1,W7,D4,L1,V1,M1} { one ==> addition( domain( X
% 238.19/238.60 ), antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := one
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112904) {G2,W6,D4,L1,V0,M1} { one ==> addition( antidomain( zero
% 238.19/238.60 ), zero ) }.
% 238.19/238.60 parent0[0]: (40) {G1,W4,D3,L1,V0,M1} P(13,5) { antidomain( one ) ==> zero
% 238.19/238.60 }.
% 238.19/238.60 parent1[0; 5]: (112903) {G2,W7,D4,L1,V0,M1} { one ==> addition( antidomain
% 238.19/238.60 ( zero ), antidomain( one ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112905) {G1,W4,D3,L1,V0,M1} { one ==> antidomain( zero ) }.
% 238.19/238.60 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 238.19/238.60 parent1[0; 2]: (112904) {G2,W6,D4,L1,V0,M1} { one ==> addition( antidomain
% 238.19/238.60 ( zero ), zero ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := antidomain( zero )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112906) {G1,W4,D3,L1,V0,M1} { antidomain( zero ) ==> one }.
% 238.19/238.60 parent0[0]: (112905) {G1,W4,D3,L1,V0,M1} { one ==> antidomain( zero ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (376) {G3,W4,D3,L1,V0,M1} P(41,166);d(40);d(2) { antidomain(
% 238.19/238.60 zero ) ==> one }.
% 238.19/238.60 parent0: (112906) {G1,W4,D3,L1,V0,M1} { antidomain( zero ) ==> one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112907) {G2,W6,D4,L1,V1,M1} { one ==> addition( one, antidomain(
% 238.19/238.60 X ) ) }.
% 238.19/238.60 parent0[0]: (365) {G2,W6,D4,L1,V1,M1} P(166,30) { addition( one, antidomain
% 238.19/238.60 ( X ) ) ==> one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112908) {G1,W6,D4,L1,V1,M1} { one ==> addition( antidomain( X )
% 238.19/238.60 , one ) }.
% 238.19/238.60 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 238.19/238.60 }.
% 238.19/238.60 parent1[0; 2]: (112907) {G2,W6,D4,L1,V1,M1} { one ==> addition( one,
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := one
% 238.19/238.60 Y := antidomain( X )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112911) {G1,W6,D4,L1,V1,M1} { addition( antidomain( X ), one )
% 238.19/238.60 ==> one }.
% 238.19/238.60 parent0[0]: (112908) {G1,W6,D4,L1,V1,M1} { one ==> addition( antidomain( X
% 238.19/238.60 ), one ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (399) {G3,W6,D4,L1,V1,M1} P(365,0) { addition( antidomain( X )
% 238.19/238.60 , one ) ==> one }.
% 238.19/238.60 parent0: (112911) {G1,W6,D4,L1,V1,M1} { addition( antidomain( X ), one )
% 238.19/238.60 ==> one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112913) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 238.19/238.60 Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112914) {G1,W14,D4,L2,V2,M2} { ! multiplication( X, Y ) ==>
% 238.19/238.60 multiplication( X, addition( one, Y ) ), leq( X, multiplication( X, Y ) )
% 238.19/238.60 }.
% 238.19/238.60 parent0[0]: (50) {G1,W11,D4,L1,V2,M1} P(5,7) { addition( X, multiplication
% 238.19/238.60 ( X, Y ) ) = multiplication( X, addition( one, Y ) ) }.
% 238.19/238.60 parent1[0; 5]: (112913) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ),
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := multiplication( X, Y )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112915) {G1,W14,D4,L2,V2,M2} { ! multiplication( X, addition( one
% 238.19/238.60 , Y ) ) ==> multiplication( X, Y ), leq( X, multiplication( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (112914) {G1,W14,D4,L2,V2,M2} { ! multiplication( X, Y ) ==>
% 238.19/238.60 multiplication( X, addition( one, Y ) ), leq( X, multiplication( X, Y ) )
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (594) {G2,W14,D4,L2,V2,M2} P(50,12) { ! multiplication( X,
% 238.19/238.60 addition( one, Y ) ) ==> multiplication( X, Y ), leq( X, multiplication(
% 238.19/238.60 X, Y ) ) }.
% 238.19/238.60 parent0: (112915) {G1,W14,D4,L2,V2,M2} { ! multiplication( X, addition(
% 238.19/238.60 one, Y ) ) ==> multiplication( X, Y ), leq( X, multiplication( X, Y ) )
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112917) {G1,W10,D5,L1,V2,M1} { multiplication( X, Y ) ==>
% 238.19/238.60 multiplication( addition( X, antidomain( Y ) ), Y ) }.
% 238.19/238.60 parent0[0]: (63) {G1,W10,D5,L1,V2,M1} P(13,8);d(2) { multiplication(
% 238.19/238.60 addition( Y, antidomain( X ) ), X ) ==> multiplication( Y, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112919) {G2,W8,D4,L1,V1,M1} { multiplication( domain( X ), X )
% 238.19/238.60 ==> multiplication( one, X ) }.
% 238.19/238.60 parent0[0]: (166) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X ),
% 238.19/238.60 antidomain( X ) ) ==> one }.
% 238.19/238.60 parent1[0; 6]: (112917) {G1,W10,D5,L1,V2,M1} { multiplication( X, Y ) ==>
% 238.19/238.60 multiplication( addition( X, antidomain( Y ) ), Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := domain( X )
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112920) {G1,W6,D4,L1,V1,M1} { multiplication( domain( X ), X )
% 238.19/238.60 ==> X }.
% 238.19/238.60 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 238.19/238.60 parent1[0; 5]: (112919) {G2,W8,D4,L1,V1,M1} { multiplication( domain( X )
% 238.19/238.60 , X ) ==> multiplication( one, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (970) {G2,W6,D4,L1,V1,M1} P(166,63);d(6) { multiplication(
% 238.19/238.60 domain( X ), X ) ==> X }.
% 238.19/238.60 parent0: (112920) {G1,W6,D4,L1,V1,M1} { multiplication( domain( X ), X )
% 238.19/238.60 ==> X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112922) {G1,W6,D2,L2,V1,M2} { X = zero, ! leq( X, zero ) }.
% 238.19/238.60 parent0[0]: (84) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero )
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112923) {G2,W6,D4,L1,V1,M1} { X ==> multiplication( domain( X ),
% 238.19/238.60 X ) }.
% 238.19/238.60 parent0[0]: (970) {G2,W6,D4,L1,V1,M1} P(166,63);d(6) { multiplication(
% 238.19/238.60 domain( X ), X ) ==> X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112926) {G2,W9,D3,L2,V1,M2} { X ==> multiplication( zero, X ), !
% 238.19/238.60 leq( domain( X ), zero ) }.
% 238.19/238.60 parent0[0]: (112922) {G1,W6,D2,L2,V1,M2} { X = zero, ! leq( X, zero ) }.
% 238.19/238.60 parent1[0; 3]: (112923) {G2,W6,D4,L1,V1,M1} { X ==> multiplication( domain
% 238.19/238.60 ( X ), X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := domain( X )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112947) {G1,W7,D3,L2,V1,M2} { X ==> zero, ! leq( domain( X ),
% 238.19/238.60 zero ) }.
% 238.19/238.60 parent0[0]: (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==> zero
% 238.19/238.60 }.
% 238.19/238.60 parent1[0; 2]: (112926) {G2,W9,D3,L2,V1,M2} { X ==> multiplication( zero,
% 238.19/238.60 X ), ! leq( domain( X ), zero ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112948) {G1,W7,D3,L2,V1,M2} { zero ==> X, ! leq( domain( X ),
% 238.19/238.60 zero ) }.
% 238.19/238.60 parent0[0]: (112947) {G1,W7,D3,L2,V1,M2} { X ==> zero, ! leq( domain( X )
% 238.19/238.60 , zero ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (1042) {G3,W7,D3,L2,V1,M2} P(84,970);d(10) { ! leq( domain( X
% 238.19/238.60 ), zero ), zero = X }.
% 238.19/238.60 parent0: (112948) {G1,W7,D3,L2,V1,M2} { zero ==> X, ! leq( domain( X ),
% 238.19/238.60 zero ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 1
% 238.19/238.60 1 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112950) {G2,W6,D4,L1,V1,M1} { X ==> multiplication( domain( X ),
% 238.19/238.60 X ) }.
% 238.19/238.60 parent0[0]: (970) {G2,W6,D4,L1,V1,M1} P(166,63);d(6) { multiplication(
% 238.19/238.60 domain( X ), X ) ==> X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112952) {G2,W9,D5,L1,V1,M1} { antidomain( X ) ==> multiplication
% 238.19/238.60 ( antidomain( domain( X ) ), antidomain( X ) ) }.
% 238.19/238.60 parent0[0]: (36) {G1,W7,D4,L1,V1,M1} P(16,16) { domain( antidomain( X ) )
% 238.19/238.60 ==> antidomain( domain( X ) ) }.
% 238.19/238.60 parent1[0; 4]: (112950) {G2,W6,D4,L1,V1,M1} { X ==> multiplication( domain
% 238.19/238.60 ( X ), X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( X )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112953) {G3,W6,D4,L1,V1,M1} { antidomain( X ) ==> antidomain(
% 238.19/238.60 domain( X ) ) }.
% 238.19/238.60 parent0[0]: (364) {G3,W10,D5,L1,V1,M1} P(166,42);d(5) { multiplication(
% 238.19/238.60 antidomain( domain( X ) ), antidomain( X ) ) ==> antidomain( domain( X )
% 238.19/238.60 ) }.
% 238.19/238.60 parent1[0; 3]: (112952) {G2,W9,D5,L1,V1,M1} { antidomain( X ) ==>
% 238.19/238.60 multiplication( antidomain( domain( X ) ), antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112954) {G3,W6,D4,L1,V1,M1} { antidomain( domain( X ) ) ==>
% 238.19/238.60 antidomain( X ) }.
% 238.19/238.60 parent0[0]: (112953) {G3,W6,D4,L1,V1,M1} { antidomain( X ) ==> antidomain
% 238.19/238.60 ( domain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (1045) {G4,W6,D4,L1,V1,M1} P(36,970);d(364) { antidomain(
% 238.19/238.60 domain( X ) ) ==> antidomain( X ) }.
% 238.19/238.60 parent0: (112954) {G3,W6,D4,L1,V1,M1} { antidomain( domain( X ) ) ==>
% 238.19/238.60 antidomain( X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112956) {G1,W16,D4,L2,V3,M2} { ! multiplication( Y, Z ) ==>
% 238.19/238.60 multiplication( addition( X, Y ), Z ), leq( multiplication( X, Z ),
% 238.19/238.60 multiplication( Y, Z ) ) }.
% 238.19/238.60 parent0[0]: (73) {G1,W16,D4,L2,V3,M2} P(8,12) { ! multiplication( addition
% 238.19/238.60 ( X, Z ), Y ) ==> multiplication( Z, Y ), leq( multiplication( X, Y ),
% 238.19/238.60 multiplication( Z, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Z
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112958) {G2,W15,D4,L2,V2,M2} { ! multiplication( one, X ) ==>
% 238.19/238.60 multiplication( one, X ), leq( multiplication( antidomain( Y ), X ),
% 238.19/238.60 multiplication( one, X ) ) }.
% 238.19/238.60 parent0[0]: (399) {G3,W6,D4,L1,V1,M1} P(365,0) { addition( antidomain( X )
% 238.19/238.60 , one ) ==> one }.
% 238.19/238.60 parent1[0; 6]: (112956) {G1,W16,D4,L2,V3,M2} { ! multiplication( Y, Z )
% 238.19/238.60 ==> multiplication( addition( X, Y ), Z ), leq( multiplication( X, Z ),
% 238.19/238.60 multiplication( Y, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( Y )
% 238.19/238.60 Y := one
% 238.19/238.60 Z := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqrefl: (112959) {G0,W8,D4,L1,V2,M1} { leq( multiplication( antidomain( Y
% 238.19/238.60 ), X ), multiplication( one, X ) ) }.
% 238.19/238.60 parent0[0]: (112958) {G2,W15,D4,L2,V2,M2} { ! multiplication( one, X ) ==>
% 238.19/238.60 multiplication( one, X ), leq( multiplication( antidomain( Y ), X ),
% 238.19/238.60 multiplication( one, X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112960) {G1,W6,D4,L1,V2,M1} { leq( multiplication( antidomain( X
% 238.19/238.60 ), Y ), Y ) }.
% 238.19/238.60 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 238.19/238.60 parent1[0; 5]: (112959) {G0,W8,D4,L1,V2,M1} { leq( multiplication(
% 238.19/238.60 antidomain( Y ), X ), multiplication( one, X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (1371) {G4,W6,D4,L1,V2,M1} P(399,73);q;d(6) { leq(
% 238.19/238.60 multiplication( antidomain( X ), Y ), Y ) }.
% 238.19/238.60 parent0: (112960) {G1,W6,D4,L1,V2,M1} { leq( multiplication( antidomain( X
% 238.19/238.60 ), Y ), Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (112962) {G1,W14,D4,L2,V3,M2} { ! addition( Y, Z ) ==> addition(
% 238.19/238.60 addition( X, Y ), Z ), leq( X, addition( Y, Z ) ) }.
% 238.19/238.60 parent0[0]: (75) {G1,W14,D4,L2,V3,M2} P(1,12) { ! addition( addition( X, Y
% 238.19/238.60 ), Z ) ==> addition( Y, Z ), leq( X, addition( Y, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (112965) {G1,W15,D3,L3,V3,M3} { ! addition( X, Y ) ==> addition(
% 238.19/238.60 X, Y ), ! leq( Z, X ), leq( Z, addition( X, Y ) ) }.
% 238.19/238.60 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 238.19/238.60 ==> Y }.
% 238.19/238.60 parent1[0; 6]: (112962) {G1,W14,D4,L2,V3,M2} { ! addition( Y, Z ) ==>
% 238.19/238.60 addition( addition( X, Y ), Z ), leq( X, addition( Y, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Z
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := Z
% 238.19/238.60 Y := X
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqrefl: (113014) {G0,W8,D3,L2,V3,M2} { ! leq( Z, X ), leq( Z, addition( X
% 238.19/238.60 , Y ) ) }.
% 238.19/238.60 parent0[0]: (112965) {G1,W15,D3,L3,V3,M3} { ! addition( X, Y ) ==>
% 238.19/238.60 addition( X, Y ), ! leq( Z, X ), leq( Z, addition( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (1474) {G2,W8,D3,L2,V3,M2} P(11,75);q { leq( X, addition( Y, Z
% 238.19/238.60 ) ), ! leq( X, Y ) }.
% 238.19/238.60 parent0: (113014) {G0,W8,D3,L2,V3,M2} { ! leq( Z, X ), leq( Z, addition( X
% 238.19/238.60 , Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := Z
% 238.19/238.60 Z := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 1
% 238.19/238.60 1 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113016) {G1,W14,D4,L2,V3,M2} { ! addition( Y, Z ) ==> addition(
% 238.19/238.60 addition( X, Y ), Z ), leq( X, addition( Y, Z ) ) }.
% 238.19/238.60 parent0[0]: (75) {G1,W14,D4,L2,V3,M2} P(1,12) { ! addition( addition( X, Y
% 238.19/238.60 ), Z ) ==> addition( Y, Z ), leq( X, addition( Y, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113019) {G1,W12,D3,L2,V2,M2} { ! addition( X, Y ) ==> addition(
% 238.19/238.60 X, Y ), leq( X, addition( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 238.19/238.60 parent1[0; 6]: (113016) {G1,W14,D4,L2,V3,M2} { ! addition( Y, Z ) ==>
% 238.19/238.60 addition( addition( X, Y ), Z ), leq( X, addition( Y, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := X
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqrefl: (113022) {G0,W5,D3,L1,V2,M1} { leq( X, addition( X, Y ) ) }.
% 238.19/238.60 parent0[0]: (113019) {G1,W12,D3,L2,V2,M2} { ! addition( X, Y ) ==>
% 238.19/238.60 addition( X, Y ), leq( X, addition( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (1479) {G2,W5,D3,L1,V2,M1} P(3,75);q { leq( X, addition( X, Y
% 238.19/238.60 ) ) }.
% 238.19/238.60 parent0: (113022) {G0,W5,D3,L1,V2,M1} { leq( X, addition( X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113024) {G1,W7,D4,L1,V3,M1} { leq( X, addition( addition( X, Y )
% 238.19/238.60 , Z ) ) }.
% 238.19/238.60 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 238.19/238.60 ==> addition( addition( Z, Y ), X ) }.
% 238.19/238.60 parent1[0; 2]: (1479) {G2,W5,D3,L1,V2,M1} P(3,75);q { leq( X, addition( X,
% 238.19/238.60 Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Z
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := addition( Y, Z )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (1509) {G3,W7,D4,L1,V3,M1} P(1,1479) { leq( X, addition(
% 238.19/238.60 addition( X, Y ), Z ) ) }.
% 238.19/238.60 parent0: (113024) {G1,W7,D4,L1,V3,M1} { leq( X, addition( addition( X, Y )
% 238.19/238.60 , Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113025) {G1,W5,D3,L1,V2,M1} { leq( X, addition( Y, X ) ) }.
% 238.19/238.60 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 238.19/238.60 }.
% 238.19/238.60 parent1[0; 2]: (1479) {G2,W5,D3,L1,V2,M1} P(3,75);q { leq( X, addition( X,
% 238.19/238.60 Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (1510) {G3,W5,D3,L1,V2,M1} P(0,1479) { leq( X, addition( Y, X
% 238.19/238.60 ) ) }.
% 238.19/238.60 parent0: (113025) {G1,W5,D3,L1,V2,M1} { leq( X, addition( Y, X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113028) {G2,W7,D4,L1,V2,M1} { leq( X, multiplication( addition(
% 238.19/238.60 Y, one ), X ) ) }.
% 238.19/238.60 parent0[0]: (69) {G1,W11,D4,L1,V2,M1} P(6,8) { addition( multiplication( Y
% 238.19/238.60 , X ), X ) = multiplication( addition( Y, one ), X ) }.
% 238.19/238.60 parent1[0; 2]: (1510) {G3,W5,D3,L1,V2,M1} P(0,1479) { leq( X, addition( Y,
% 238.19/238.60 X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := multiplication( Y, X )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (1521) {G4,W7,D4,L1,V2,M1} P(69,1510) { leq( Y, multiplication
% 238.19/238.60 ( addition( X, one ), Y ) ) }.
% 238.19/238.60 parent0: (113028) {G2,W7,D4,L1,V2,M1} { leq( X, multiplication( addition(
% 238.19/238.60 Y, one ), X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113030) {G1,W16,D4,L2,V3,M2} { multiplication( X, Z ) ==>
% 238.19/238.60 multiplication( X, addition( Y, Z ) ), ! leq( multiplication( X, Y ),
% 238.19/238.60 multiplication( X, Z ) ) }.
% 238.19/238.60 parent0[0]: (80) {G1,W16,D4,L2,V3,M2} P(11,7) { multiplication( X, addition
% 238.19/238.60 ( Y, Z ) ) ==> multiplication( X, Z ), ! leq( multiplication( X, Y ),
% 238.19/238.60 multiplication( X, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113032) {G2,W17,D4,L2,V2,M2} { multiplication( X, antidomain( Y
% 238.19/238.60 ) ) ==> multiplication( X, one ), ! leq( multiplication( X, domain( Y )
% 238.19/238.60 ), multiplication( X, antidomain( Y ) ) ) }.
% 238.19/238.60 parent0[0]: (166) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X ),
% 238.19/238.60 antidomain( X ) ) ==> one }.
% 238.19/238.60 parent1[0; 7]: (113030) {G1,W16,D4,L2,V3,M2} { multiplication( X, Z ) ==>
% 238.19/238.60 multiplication( X, addition( Y, Z ) ), ! leq( multiplication( X, Y ),
% 238.19/238.60 multiplication( X, Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := domain( Y )
% 238.19/238.60 Z := antidomain( Y )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113033) {G1,W15,D4,L2,V2,M2} { multiplication( X, antidomain( Y
% 238.19/238.60 ) ) ==> X, ! leq( multiplication( X, domain( Y ) ), multiplication( X,
% 238.19/238.60 antidomain( Y ) ) ) }.
% 238.19/238.60 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 238.19/238.60 parent1[0; 5]: (113032) {G2,W17,D4,L2,V2,M2} { multiplication( X,
% 238.19/238.60 antidomain( Y ) ) ==> multiplication( X, one ), ! leq( multiplication( X
% 238.19/238.60 , domain( Y ) ), multiplication( X, antidomain( Y ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (1601) {G2,W15,D4,L2,V2,M2} P(166,80);d(5) { ! leq(
% 238.19/238.60 multiplication( Y, domain( X ) ), multiplication( Y, antidomain( X ) ) )
% 238.19/238.60 , multiplication( Y, antidomain( X ) ) ==> Y }.
% 238.19/238.60 parent0: (113033) {G1,W15,D4,L2,V2,M2} { multiplication( X, antidomain( Y
% 238.19/238.60 ) ) ==> X, ! leq( multiplication( X, domain( Y ) ), multiplication( X,
% 238.19/238.60 antidomain( Y ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 1
% 238.19/238.60 1 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113036) {G1,W8,D3,L2,V3,M2} { leq( X, Z ), ! leq( addition( X, Y
% 238.19/238.60 ), Z ) }.
% 238.19/238.60 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 238.19/238.60 ==> Y }.
% 238.19/238.60 parent1[0; 2]: (1509) {G3,W7,D4,L1,V3,M1} P(1,1479) { leq( X, addition(
% 238.19/238.60 addition( X, Y ), Z ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := addition( X, Y )
% 238.19/238.60 Y := Z
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (3058) {G4,W8,D3,L2,V3,M2} P(11,1509) { leq( X, Z ), ! leq(
% 238.19/238.60 addition( X, Y ), Z ) }.
% 238.19/238.60 parent0: (113036) {G1,W8,D3,L2,V3,M2} { leq( X, Z ), ! leq( addition( X, Y
% 238.19/238.60 ), Z ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 Z := Z
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113041) {G2,W8,D3,L2,V2,M2} { leq( X, multiplication( Y, X ) ),
% 238.19/238.60 ! leq( one, Y ) }.
% 238.19/238.60 parent0[0]: (85) {G1,W8,D3,L2,V2,M2} P(11,0) { addition( Y, X ) ==> Y, !
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 parent1[0; 3]: (1521) {G4,W7,D4,L1,V2,M1} P(69,1510) { leq( Y,
% 238.19/238.60 multiplication( addition( X, one ), Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := one
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (3226) {G5,W8,D3,L2,V2,M2} P(85,1521) { leq( Y, multiplication
% 238.19/238.60 ( X, Y ) ), ! leq( one, X ) }.
% 238.19/238.60 parent0: (113041) {G2,W8,D3,L2,V2,M2} { leq( X, multiplication( Y, X ) ),
% 238.19/238.60 ! leq( one, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113043) {G1,W16,D6,L1,V2,M1} { antidomain( multiplication( X,
% 238.19/238.60 domain( Y ) ) ) ==> addition( antidomain( multiplication( X, Y ) ),
% 238.19/238.60 antidomain( multiplication( X, domain( Y ) ) ) ) }.
% 238.19/238.60 parent0[0]: (143) {G1,W16,D6,L1,V2,M1} S(14);d(16) { addition( antidomain(
% 238.19/238.60 multiplication( X, Y ) ), antidomain( multiplication( X, domain( Y ) ) )
% 238.19/238.60 ) ==> antidomain( multiplication( X, domain( Y ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113046) {G2,W16,D6,L1,V0,M1} { antidomain( multiplication(
% 238.19/238.60 antidomain( skol2 ), domain( skol1 ) ) ) ==> addition( antidomain( zero )
% 238.19/238.60 , antidomain( multiplication( antidomain( skol2 ), domain( skol1 ) ) ) )
% 238.19/238.60 }.
% 238.19/238.60 parent0[0]: (343) {G3,W6,D4,L1,V0,M1} P(24,42);d(13) { multiplication(
% 238.19/238.60 antidomain( skol2 ), skol1 ) ==> zero }.
% 238.19/238.60 parent1[0; 9]: (113043) {G1,W16,D6,L1,V2,M1} { antidomain( multiplication
% 238.19/238.60 ( X, domain( Y ) ) ) ==> addition( antidomain( multiplication( X, Y ) ),
% 238.19/238.60 antidomain( multiplication( X, domain( Y ) ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( skol2 )
% 238.19/238.60 Y := skol1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113047) {G3,W15,D6,L1,V0,M1} { antidomain( multiplication(
% 238.19/238.60 antidomain( skol2 ), domain( skol1 ) ) ) ==> addition( one, antidomain(
% 238.19/238.60 multiplication( antidomain( skol2 ), domain( skol1 ) ) ) ) }.
% 238.19/238.60 parent0[0]: (376) {G3,W4,D3,L1,V0,M1} P(41,166);d(40);d(2) { antidomain(
% 238.19/238.60 zero ) ==> one }.
% 238.19/238.60 parent1[0; 8]: (113046) {G2,W16,D6,L1,V0,M1} { antidomain( multiplication
% 238.19/238.60 ( antidomain( skol2 ), domain( skol1 ) ) ) ==> addition( antidomain( zero
% 238.19/238.60 ), antidomain( multiplication( antidomain( skol2 ), domain( skol1 ) ) )
% 238.19/238.60 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113048) {G3,W8,D5,L1,V0,M1} { antidomain( multiplication(
% 238.19/238.60 antidomain( skol2 ), domain( skol1 ) ) ) ==> one }.
% 238.19/238.60 parent0[0]: (365) {G2,W6,D4,L1,V1,M1} P(166,30) { addition( one, antidomain
% 238.19/238.60 ( X ) ) ==> one }.
% 238.19/238.60 parent1[0; 7]: (113047) {G3,W15,D6,L1,V0,M1} { antidomain( multiplication
% 238.19/238.60 ( antidomain( skol2 ), domain( skol1 ) ) ) ==> addition( one, antidomain
% 238.19/238.60 ( multiplication( antidomain( skol2 ), domain( skol1 ) ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := multiplication( antidomain( skol2 ), domain( skol1 ) )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (4070) {G4,W8,D5,L1,V0,M1} P(343,143);d(376);d(365) {
% 238.19/238.60 antidomain( multiplication( antidomain( skol2 ), domain( skol1 ) ) ) ==>
% 238.19/238.60 one }.
% 238.19/238.60 parent0: (113048) {G3,W8,D5,L1,V0,M1} { antidomain( multiplication(
% 238.19/238.60 antidomain( skol2 ), domain( skol1 ) ) ) ==> one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (113050) {G2,W7,D4,L1,V1,M1} { ! leq( addition( antidomain(
% 238.19/238.60 skol2 ), X ), antidomain( skol1 ) ) }.
% 238.19/238.60 parent0[0]: (173) {G1,W5,D3,L1,V0,M1} R(22,11) { ! leq( antidomain( skol2 )
% 238.19/238.60 , antidomain( skol1 ) ) }.
% 238.19/238.60 parent1[0]: (3058) {G4,W8,D3,L2,V3,M2} P(11,1509) { leq( X, Z ), ! leq(
% 238.19/238.60 addition( X, Y ), Z ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( skol2 )
% 238.19/238.60 Y := X
% 238.19/238.60 Z := antidomain( skol1 )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (4688) {G5,W7,D4,L1,V1,M1} R(3058,173) { ! leq( addition(
% 238.19/238.60 antidomain( skol2 ), X ), antidomain( skol1 ) ) }.
% 238.19/238.60 parent0: (113050) {G2,W7,D4,L1,V1,M1} { ! leq( addition( antidomain( skol2
% 238.19/238.60 ), X ), antidomain( skol1 ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113052) {G1,W8,D3,L2,V1,M2} { ! leq( X, antidomain( skol1 ) ), !
% 238.19/238.60 leq( antidomain( skol2 ), X ) }.
% 238.19/238.60 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 238.19/238.60 ==> Y }.
% 238.19/238.60 parent1[0; 2]: (4688) {G5,W7,D4,L1,V1,M1} R(3058,173) { ! leq( addition(
% 238.19/238.60 antidomain( skol2 ), X ), antidomain( skol1 ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := antidomain( skol2 )
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (5510) {G6,W8,D3,L2,V1,M2} P(11,4688) { ! leq( X, antidomain(
% 238.19/238.60 skol1 ) ), ! leq( antidomain( skol2 ), X ) }.
% 238.19/238.60 parent0: (113052) {G1,W8,D3,L2,V1,M2} { ! leq( X, antidomain( skol1 ) ), !
% 238.19/238.60 leq( antidomain( skol2 ), X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113054) {G1,W7,D3,L2,V1,M2} { leq( X, zero ), ! leq( one,
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 parent0[0]: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X
% 238.19/238.60 ) ==> zero }.
% 238.19/238.60 parent1[0; 2]: (3226) {G5,W8,D3,L2,V2,M2} P(85,1521) { leq( Y,
% 238.19/238.60 multiplication( X, Y ) ), ! leq( one, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( X )
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (11330) {G6,W7,D3,L2,V1,M2} P(13,3226) { leq( X, zero ), ! leq
% 238.19/238.60 ( one, antidomain( X ) ) }.
% 238.19/238.60 parent0: (113054) {G1,W7,D3,L2,V1,M2} { leq( X, zero ), ! leq( one,
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 1 ==> 1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (113056) {G3,W9,D3,L2,V2,M2} { leq( X, addition( zero, Y ) ),
% 238.19/238.60 ! leq( one, antidomain( X ) ) }.
% 238.19/238.60 parent0[1]: (1474) {G2,W8,D3,L2,V3,M2} P(11,75);q { leq( X, addition( Y, Z
% 238.19/238.60 ) ), ! leq( X, Y ) }.
% 238.19/238.60 parent1[0]: (11330) {G6,W7,D3,L2,V1,M2} P(13,3226) { leq( X, zero ), ! leq
% 238.19/238.60 ( one, antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := zero
% 238.19/238.60 Z := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113057) {G2,W7,D3,L2,V2,M2} { leq( X, Y ), ! leq( one,
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 parent0[0]: (23) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 238.19/238.60 parent1[0; 2]: (113056) {G3,W9,D3,L2,V2,M2} { leq( X, addition( zero, Y )
% 238.19/238.60 ), ! leq( one, antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (11427) {G7,W7,D3,L2,V2,M2} R(11330,1474);d(23) { ! leq( one,
% 238.19/238.60 antidomain( X ) ), leq( X, Y ) }.
% 238.19/238.60 parent0: (113057) {G2,W7,D3,L2,V2,M2} { leq( X, Y ), ! leq( one,
% 238.19/238.60 antidomain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 1
% 238.19/238.60 1 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113058) {G1,W8,D3,L2,V2,M2} { ! X ==> addition( X, Y ), leq( Y, X
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[0]: (78) {G1,W8,D3,L2,V2,M2} P(0,12) { ! addition( Y, X ) ==> Y,
% 238.19/238.60 leq( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (113060) {G2,W10,D4,L2,V2,M2} { leq( X, Y ), ! antidomain( X )
% 238.19/238.60 ==> addition( antidomain( X ), one ) }.
% 238.19/238.60 parent0[0]: (11427) {G7,W7,D3,L2,V2,M2} R(11330,1474);d(23) { ! leq( one,
% 238.19/238.60 antidomain( X ) ), leq( X, Y ) }.
% 238.19/238.60 parent1[1]: (113058) {G1,W8,D3,L2,V2,M2} { ! X ==> addition( X, Y ), leq(
% 238.19/238.60 Y, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( X )
% 238.19/238.60 Y := one
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113061) {G3,W7,D3,L2,V2,M2} { ! antidomain( X ) ==> one, leq( X
% 238.19/238.60 , Y ) }.
% 238.19/238.60 parent0[0]: (399) {G3,W6,D4,L1,V1,M1} P(365,0) { addition( antidomain( X )
% 238.19/238.60 , one ) ==> one }.
% 238.19/238.60 parent1[1; 4]: (113060) {G2,W10,D4,L2,V2,M2} { leq( X, Y ), ! antidomain(
% 238.19/238.60 X ) ==> addition( antidomain( X ), one ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (11736) {G8,W7,D3,L2,V2,M2} R(11427,78);d(399) { leq( X, Y ),
% 238.19/238.60 ! antidomain( X ) ==> one }.
% 238.19/238.60 parent0: (113061) {G3,W7,D3,L2,V2,M2} { ! antidomain( X ) ==> one, leq( X
% 238.19/238.60 , Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 1
% 238.19/238.60 1 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113063) {G8,W7,D3,L2,V2,M2} { ! one ==> antidomain( X ), leq( X,
% 238.19/238.60 Y ) }.
% 238.19/238.60 parent0[1]: (11736) {G8,W7,D3,L2,V2,M2} R(11427,78);d(399) { leq( X, Y ), !
% 238.19/238.60 antidomain( X ) ==> one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113064) {G3,W7,D3,L2,V1,M2} { X = zero, ! leq( domain( X ), zero
% 238.19/238.60 ) }.
% 238.19/238.60 parent0[1]: (1042) {G3,W7,D3,L2,V1,M2} P(84,970);d(10) { ! leq( domain( X )
% 238.19/238.60 , zero ), zero = X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (113066) {G4,W8,D4,L2,V1,M2} { X = zero, ! one ==> antidomain
% 238.19/238.60 ( domain( X ) ) }.
% 238.19/238.60 parent0[1]: (113064) {G3,W7,D3,L2,V1,M2} { X = zero, ! leq( domain( X ),
% 238.19/238.60 zero ) }.
% 238.19/238.60 parent1[1]: (113063) {G8,W7,D3,L2,V2,M2} { ! one ==> antidomain( X ), leq
% 238.19/238.60 ( X, Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := domain( X )
% 238.19/238.60 Y := zero
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113067) {G5,W7,D3,L2,V1,M2} { ! one ==> antidomain( X ), X =
% 238.19/238.60 zero }.
% 238.19/238.60 parent0[0]: (1045) {G4,W6,D4,L1,V1,M1} P(36,970);d(364) { antidomain(
% 238.19/238.60 domain( X ) ) ==> antidomain( X ) }.
% 238.19/238.60 parent1[1; 3]: (113066) {G4,W8,D4,L2,V1,M2} { X = zero, ! one ==>
% 238.19/238.60 antidomain( domain( X ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113069) {G5,W7,D3,L2,V1,M2} { zero = X, ! one ==> antidomain( X )
% 238.19/238.60 }.
% 238.19/238.60 parent0[1]: (113067) {G5,W7,D3,L2,V1,M2} { ! one ==> antidomain( X ), X =
% 238.19/238.60 zero }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113070) {G5,W7,D3,L2,V1,M2} { ! antidomain( X ) ==> one, zero = X
% 238.19/238.60 }.
% 238.19/238.60 parent0[1]: (113069) {G5,W7,D3,L2,V1,M2} { zero = X, ! one ==> antidomain
% 238.19/238.60 ( X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (11834) {G9,W7,D3,L2,V1,M2} R(11736,1042);d(1045) { zero = X,
% 238.19/238.60 ! antidomain( X ) ==> one }.
% 238.19/238.60 parent0: (113070) {G5,W7,D3,L2,V1,M2} { ! antidomain( X ) ==> one, zero =
% 238.19/238.60 X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 1
% 238.19/238.60 1 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (113071) {G5,W8,D4,L1,V1,M1} { ! leq( antidomain( skol2 ),
% 238.19/238.60 multiplication( antidomain( X ), antidomain( skol1 ) ) ) }.
% 238.19/238.60 parent0[0]: (5510) {G6,W8,D3,L2,V1,M2} P(11,4688) { ! leq( X, antidomain(
% 238.19/238.60 skol1 ) ), ! leq( antidomain( skol2 ), X ) }.
% 238.19/238.60 parent1[0]: (1371) {G4,W6,D4,L1,V2,M1} P(399,73);q;d(6) { leq(
% 238.19/238.60 multiplication( antidomain( X ), Y ), Y ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := multiplication( antidomain( X ), antidomain( skol1 ) )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := X
% 238.19/238.60 Y := antidomain( skol1 )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (17302) {G7,W8,D4,L1,V1,M1} R(5510,1371) { ! leq( antidomain(
% 238.19/238.60 skol2 ), multiplication( antidomain( X ), antidomain( skol1 ) ) ) }.
% 238.19/238.60 parent0: (113071) {G5,W8,D4,L1,V1,M1} { ! leq( antidomain( skol2 ),
% 238.19/238.60 multiplication( antidomain( X ), antidomain( skol1 ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113072) {G2,W14,D4,L2,V2,M2} { ! multiplication( X, Y ) ==>
% 238.19/238.60 multiplication( X, addition( one, Y ) ), leq( X, multiplication( X, Y ) )
% 238.19/238.60 }.
% 238.19/238.60 parent0[0]: (594) {G2,W14,D4,L2,V2,M2} P(50,12) { ! multiplication( X,
% 238.19/238.60 addition( one, Y ) ) ==> multiplication( X, Y ), leq( X, multiplication(
% 238.19/238.60 X, Y ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 Y := Y
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (113075) {G3,W13,D5,L1,V0,M1} { ! multiplication( antidomain(
% 238.19/238.60 skol2 ), antidomain( skol1 ) ) ==> multiplication( antidomain( skol2 ),
% 238.19/238.60 addition( one, antidomain( skol1 ) ) ) }.
% 238.19/238.60 parent0[0]: (17302) {G7,W8,D4,L1,V1,M1} R(5510,1371) { ! leq( antidomain(
% 238.19/238.60 skol2 ), multiplication( antidomain( X ), antidomain( skol1 ) ) ) }.
% 238.19/238.60 parent1[1]: (113072) {G2,W14,D4,L2,V2,M2} { ! multiplication( X, Y ) ==>
% 238.19/238.60 multiplication( X, addition( one, Y ) ), leq( X, multiplication( X, Y ) )
% 238.19/238.60 }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := skol2
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( skol2 )
% 238.19/238.60 Y := antidomain( skol1 )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113076) {G3,W10,D4,L1,V0,M1} { ! multiplication( antidomain(
% 238.19/238.60 skol2 ), antidomain( skol1 ) ) ==> multiplication( antidomain( skol2 ),
% 238.19/238.60 one ) }.
% 238.19/238.60 parent0[0]: (365) {G2,W6,D4,L1,V1,M1} P(166,30) { addition( one, antidomain
% 238.19/238.60 ( X ) ) ==> one }.
% 238.19/238.60 parent1[0; 10]: (113075) {G3,W13,D5,L1,V0,M1} { ! multiplication(
% 238.19/238.60 antidomain( skol2 ), antidomain( skol1 ) ) ==> multiplication( antidomain
% 238.19/238.60 ( skol2 ), addition( one, antidomain( skol1 ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := skol1
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113077) {G1,W8,D4,L1,V0,M1} { ! multiplication( antidomain(
% 238.19/238.60 skol2 ), antidomain( skol1 ) ) ==> antidomain( skol2 ) }.
% 238.19/238.60 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 238.19/238.60 parent1[0; 7]: (113076) {G3,W10,D4,L1,V0,M1} { ! multiplication(
% 238.19/238.60 antidomain( skol2 ), antidomain( skol1 ) ) ==> multiplication( antidomain
% 238.19/238.60 ( skol2 ), one ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := antidomain( skol2 )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (35212) {G8,W8,D4,L1,V0,M1} R(594,17302);d(365);d(5) { !
% 238.19/238.60 multiplication( antidomain( skol2 ), antidomain( skol1 ) ) ==> antidomain
% 238.19/238.60 ( skol2 ) }.
% 238.19/238.60 parent0: (113077) {G1,W8,D4,L1,V0,M1} { ! multiplication( antidomain(
% 238.19/238.60 skol2 ), antidomain( skol1 ) ) ==> antidomain( skol2 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113079) {G4,W8,D5,L1,V0,M1} { one ==> antidomain( multiplication
% 238.19/238.60 ( antidomain( skol2 ), domain( skol1 ) ) ) }.
% 238.19/238.60 parent0[0]: (4070) {G4,W8,D5,L1,V0,M1} P(343,143);d(376);d(365) {
% 238.19/238.60 antidomain( multiplication( antidomain( skol2 ), domain( skol1 ) ) ) ==>
% 238.19/238.60 one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113081) {G9,W7,D3,L2,V1,M2} { ! one ==> antidomain( X ), zero = X
% 238.19/238.60 }.
% 238.19/238.60 parent0[1]: (11834) {G9,W7,D3,L2,V1,M2} R(11736,1042);d(1045) { zero = X, !
% 238.19/238.60 antidomain( X ) ==> one }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113082) {G9,W7,D3,L2,V1,M2} { X = zero, ! one ==> antidomain( X )
% 238.19/238.60 }.
% 238.19/238.60 parent0[1]: (113081) {G9,W7,D3,L2,V1,M2} { ! one ==> antidomain( X ), zero
% 238.19/238.60 = X }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (113083) {G5,W7,D4,L1,V0,M1} { multiplication( antidomain(
% 238.19/238.60 skol2 ), domain( skol1 ) ) = zero }.
% 238.19/238.60 parent0[1]: (113082) {G9,W7,D3,L2,V1,M2} { X = zero, ! one ==> antidomain
% 238.19/238.60 ( X ) }.
% 238.19/238.60 parent1[0]: (113079) {G4,W8,D5,L1,V0,M1} { one ==> antidomain(
% 238.19/238.60 multiplication( antidomain( skol2 ), domain( skol1 ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := multiplication( antidomain( skol2 ), domain( skol1 ) )
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (68121) {G10,W7,D4,L1,V0,M1} R(4070,11834) { multiplication(
% 238.19/238.60 antidomain( skol2 ), domain( skol1 ) ) ==> zero }.
% 238.19/238.60 parent0: (113083) {G5,W7,D4,L1,V0,M1} { multiplication( antidomain( skol2
% 238.19/238.60 ), domain( skol1 ) ) = zero }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 0 ==> 0
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113085) {G2,W15,D4,L2,V2,M2} { X ==> multiplication( X,
% 238.19/238.60 antidomain( Y ) ), ! leq( multiplication( X, domain( Y ) ),
% 238.19/238.60 multiplication( X, antidomain( Y ) ) ) }.
% 238.19/238.60 parent0[1]: (1601) {G2,W15,D4,L2,V2,M2} P(166,80);d(5) { ! leq(
% 238.19/238.60 multiplication( Y, domain( X ) ), multiplication( Y, antidomain( X ) ) )
% 238.19/238.60 , multiplication( Y, antidomain( X ) ) ==> Y }.
% 238.19/238.60 substitution0:
% 238.19/238.60 X := Y
% 238.19/238.60 Y := X
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 eqswap: (113086) {G8,W8,D4,L1,V0,M1} { ! antidomain( skol2 ) ==>
% 238.19/238.60 multiplication( antidomain( skol2 ), antidomain( skol1 ) ) }.
% 238.19/238.60 parent0[0]: (35212) {G8,W8,D4,L1,V0,M1} R(594,17302);d(365);d(5) { !
% 238.19/238.60 multiplication( antidomain( skol2 ), antidomain( skol1 ) ) ==> antidomain
% 238.19/238.60 ( skol2 ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (113088) {G3,W11,D4,L1,V0,M1} { ! leq( multiplication(
% 238.19/238.60 antidomain( skol2 ), domain( skol1 ) ), multiplication( antidomain( skol2
% 238.19/238.60 ), antidomain( skol1 ) ) ) }.
% 238.19/238.60 parent0[0]: (113086) {G8,W8,D4,L1,V0,M1} { ! antidomain( skol2 ) ==>
% 238.19/238.60 multiplication( antidomain( skol2 ), antidomain( skol1 ) ) }.
% 238.19/238.60 parent1[0]: (113085) {G2,W15,D4,L2,V2,M2} { X ==> multiplication( X,
% 238.19/238.60 antidomain( Y ) ), ! leq( multiplication( X, domain( Y ) ),
% 238.19/238.60 multiplication( X, antidomain( Y ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := antidomain( skol2 )
% 238.19/238.60 Y := skol1
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 paramod: (113089) {G4,W7,D4,L1,V0,M1} { ! leq( zero, multiplication(
% 238.19/238.60 antidomain( skol2 ), antidomain( skol1 ) ) ) }.
% 238.19/238.60 parent0[0]: (68121) {G10,W7,D4,L1,V0,M1} R(4070,11834) { multiplication(
% 238.19/238.60 antidomain( skol2 ), domain( skol1 ) ) ==> zero }.
% 238.19/238.60 parent1[0; 2]: (113088) {G3,W11,D4,L1,V0,M1} { ! leq( multiplication(
% 238.19/238.60 antidomain( skol2 ), domain( skol1 ) ), multiplication( antidomain( skol2
% 238.19/238.60 ), antidomain( skol1 ) ) ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 resolution: (113090) {G3,W0,D0,L0,V0,M0} { }.
% 238.19/238.60 parent0[0]: (113089) {G4,W7,D4,L1,V0,M1} { ! leq( zero, multiplication(
% 238.19/238.60 antidomain( skol2 ), antidomain( skol1 ) ) ) }.
% 238.19/238.60 parent1[0]: (71) {G2,W3,D2,L1,V1,M1} R(12,23) { leq( zero, X ) }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 substitution1:
% 238.19/238.60 X := multiplication( antidomain( skol2 ), antidomain( skol1 ) )
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 subsumption: (112582) {G11,W0,D0,L0,V0,M0} R(1601,35212);d(68121);r(71) {
% 238.19/238.60 }.
% 238.19/238.60 parent0: (113090) {G3,W0,D0,L0,V0,M0} { }.
% 238.19/238.60 substitution0:
% 238.19/238.60 end
% 238.19/238.60 permutation0:
% 238.19/238.60 end
% 238.19/238.60
% 238.19/238.60 Proof check complete!
% 238.19/238.60
% 238.19/238.60 Memory use:
% 238.19/238.60
% 238.19/238.60 space for terms: 1572527
% 238.19/238.60 space for clauses: 5489741
% 238.19/238.60
% 238.19/238.60
% 238.19/238.60 clauses generated: 2879018
% 238.19/238.60 clauses kept: 112583
% 238.19/238.60 clauses selected: 4425
% 238.19/238.60 clauses deleted: 8367
% 238.19/238.60 clauses inuse deleted: 140
% 238.19/238.60
% 238.19/238.60 subsentry: 29259077
% 238.19/238.60 literals s-matched: 9865476
% 238.19/238.60 literals matched: 9389047
% 238.19/238.60 full subsumption: 3536782
% 238.19/238.60
% 238.19/238.60 checksum: -1079811730
% 238.19/238.60
% 238.19/238.60
% 238.19/238.60 Bliksem ended
%------------------------------------------------------------------------------