TSTP Solution File: KLE078+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KLE078+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 01:37:03 EDT 2022
% Result : Theorem 269.21s 269.64s
% Output : Refutation 269.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE078+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n032.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Thu Jun 16 10:27:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 26.52/26.93 *** allocated 10000 integers for termspace/termends
% 26.52/26.93 *** allocated 10000 integers for clauses
% 26.52/26.93 *** allocated 10000 integers for justifications
% 26.52/26.93 Bliksem 1.12
% 26.52/26.93
% 26.52/26.93
% 26.52/26.93 Automatic Strategy Selection
% 26.52/26.93
% 26.52/26.93
% 26.52/26.93 Clauses:
% 26.52/26.93
% 26.52/26.93 { addition( X, Y ) = addition( Y, X ) }.
% 26.52/26.93 { addition( Z, addition( Y, X ) ) = addition( addition( Z, Y ), X ) }.
% 26.52/26.93 { addition( X, zero ) = X }.
% 26.52/26.93 { addition( X, X ) = X }.
% 26.52/26.93 { multiplication( X, multiplication( Y, Z ) ) = multiplication(
% 26.52/26.93 multiplication( X, Y ), Z ) }.
% 26.52/26.93 { multiplication( X, one ) = X }.
% 26.52/26.93 { multiplication( one, X ) = X }.
% 26.52/26.93 { multiplication( X, addition( Y, Z ) ) = addition( multiplication( X, Y )
% 26.52/26.93 , multiplication( X, Z ) ) }.
% 26.52/26.93 { multiplication( addition( X, Y ), Z ) = addition( multiplication( X, Z )
% 26.52/26.93 , multiplication( Y, Z ) ) }.
% 26.52/26.93 { multiplication( X, zero ) = zero }.
% 26.52/26.93 { multiplication( zero, X ) = zero }.
% 26.52/26.93 { ! leq( X, Y ), addition( X, Y ) = Y }.
% 26.52/26.93 { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 26.52/26.93 { addition( X, multiplication( domain( X ), X ) ) = multiplication( domain
% 26.52/26.93 ( X ), X ) }.
% 26.52/26.93 { domain( multiplication( X, Y ) ) = domain( multiplication( X, domain( Y )
% 26.52/26.93 ) ) }.
% 26.52/26.93 { addition( domain( X ), one ) = one }.
% 26.52/26.93 { domain( zero ) = zero }.
% 26.52/26.93 { domain( addition( X, Y ) ) = addition( domain( X ), domain( Y ) ) }.
% 26.52/26.93 { addition( domain( X ), antidomain( X ) ) = one }.
% 26.52/26.93 { multiplication( domain( X ), antidomain( X ) ) = zero }.
% 26.52/26.93 { ! domain( antidomain( skol1 ) ) = antidomain( skol1 ) }.
% 26.52/26.93
% 26.52/26.93 percentage equality = 0.913043, percentage horn = 1.000000
% 26.52/26.93 This is a pure equality problem
% 26.52/26.93
% 26.52/26.93
% 26.52/26.93
% 26.52/26.93 Options Used:
% 26.52/26.93
% 26.52/26.93 useres = 1
% 26.52/26.93 useparamod = 1
% 26.52/26.93 useeqrefl = 1
% 26.52/26.93 useeqfact = 1
% 26.52/26.93 usefactor = 1
% 26.52/26.93 usesimpsplitting = 0
% 26.52/26.93 usesimpdemod = 5
% 26.52/26.93 usesimpres = 3
% 26.52/26.93
% 26.52/26.93 resimpinuse = 1000
% 26.52/26.93 resimpclauses = 20000
% 26.52/26.93 substype = eqrewr
% 26.52/26.93 backwardsubs = 1
% 26.52/26.93 selectoldest = 5
% 26.52/26.93
% 26.52/26.93 litorderings [0] = split
% 26.52/26.93 litorderings [1] = extend the termordering, first sorting on arguments
% 26.52/26.93
% 26.52/26.93 termordering = kbo
% 26.52/26.93
% 26.52/26.93 litapriori = 0
% 26.52/26.93 termapriori = 1
% 26.52/26.93 litaposteriori = 0
% 26.52/26.93 termaposteriori = 0
% 26.52/26.93 demodaposteriori = 0
% 26.52/26.93 ordereqreflfact = 0
% 26.52/26.93
% 26.52/26.93 litselect = negord
% 26.52/26.93
% 26.52/26.93 maxweight = 15
% 26.52/26.93 maxdepth = 30000
% 26.52/26.93 maxlength = 115
% 26.52/26.93 maxnrvars = 195
% 26.52/26.93 excuselevel = 1
% 26.52/26.93 increasemaxweight = 1
% 26.52/26.93
% 26.52/26.93 maxselected = 10000000
% 26.52/26.93 maxnrclauses = 10000000
% 26.52/26.93
% 26.52/26.93 showgenerated = 0
% 26.52/26.93 showkept = 0
% 26.52/26.93 showselected = 0
% 26.52/26.93 showdeleted = 0
% 26.52/26.93 showresimp = 1
% 26.52/26.93 showstatus = 2000
% 26.52/26.93
% 26.52/26.93 prologoutput = 0
% 26.52/26.93 nrgoals = 5000000
% 26.52/26.93 totalproof = 1
% 26.52/26.93
% 26.52/26.93 Symbols occurring in the translation:
% 26.52/26.93
% 26.52/26.93 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 26.52/26.93 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 26.52/26.93 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 26.52/26.93 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 26.52/26.93 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 26.52/26.93 addition [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 26.52/26.93 zero [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 26.52/26.93 multiplication [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 26.52/26.93 one [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 26.52/26.93 leq [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 26.52/26.93 domain [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 26.52/26.93 antidomain [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 26.52/26.93 skol1 [47, 0] (w:1, o:13, a:1, s:1, b:1).
% 26.52/26.93
% 26.52/26.93
% 26.52/26.93 Starting Search:
% 26.52/26.93
% 26.52/26.93 *** allocated 15000 integers for clauses
% 26.52/26.93 *** allocated 22500 integers for clauses
% 26.52/26.93 *** allocated 33750 integers for clauses
% 26.52/26.93 *** allocated 50625 integers for clauses
% 26.52/26.93 *** allocated 75937 integers for clauses
% 26.52/26.93 *** allocated 15000 integers for termspace/termends
% 26.52/26.93 Resimplifying inuse:
% 26.52/26.93 Done
% 26.52/26.93
% 26.52/26.93 *** allocated 113905 integers for clauses
% 26.52/26.93 *** allocated 22500 integers for termspace/termends
% 26.52/26.93 *** allocated 170857 integers for clauses
% 26.52/26.93 *** allocated 33750 integers for termspace/termends
% 26.52/26.93
% 26.52/26.93 Intermediate Status:
% 26.52/26.93 Generated: 13906
% 26.52/26.93 Kept: 2002
% 26.52/26.93 Inuse: 254
% 26.52/26.93 Deleted: 20
% 26.52/26.93 Deletedinuse: 6
% 26.52/26.93
% 26.52/26.93 Resimplifying inuse:
% 26.52/26.93 Done
% 26.52/26.93
% 26.52/26.93 *** allocated 50625 integers for termspace/termends
% 26.52/26.93 Resimplifying inuse:
% 26.52/26.93 Done
% 26.52/26.93
% 26.52/26.93 *** allocated 256285 integers for clauses
% 26.52/26.93
% 26.52/26.93 Intermediate Status:
% 26.52/26.93 Generated: 33194
% 26.52/26.93 Kept: 4012
% 26.52/26.93 Inuse: 360
% 26.52/26.93 Deleted: 41
% 26.52/26.93 Deletedinuse: 10
% 26.52/26.93
% 26.52/26.93 Resimplifying inuse:
% 26.52/26.93 Done
% 26.52/26.93
% 26.52/26.93 *** allocated 75937 integers for termspace/termends
% 26.52/26.93 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 *** allocated 384427 integers for clauses
% 100.65/101.02 *** allocated 113905 integers for termspace/termends
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 63350
% 100.65/101.02 Kept: 6027
% 100.65/101.02 Inuse: 528
% 100.65/101.02 Deleted: 63
% 100.65/101.02 Deletedinuse: 16
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 *** allocated 576640 integers for clauses
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 90640
% 100.65/101.02 Kept: 8123
% 100.65/101.02 Inuse: 662
% 100.65/101.02 Deleted: 80
% 100.65/101.02 Deletedinuse: 18
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 *** allocated 170857 integers for termspace/termends
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 116159
% 100.65/101.02 Kept: 10126
% 100.65/101.02 Inuse: 763
% 100.65/101.02 Deleted: 82
% 100.65/101.02 Deletedinuse: 20
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 *** allocated 864960 integers for clauses
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 156739
% 100.65/101.02 Kept: 12126
% 100.65/101.02 Inuse: 880
% 100.65/101.02 Deleted: 94
% 100.65/101.02 Deletedinuse: 22
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 *** allocated 256285 integers for termspace/termends
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 184329
% 100.65/101.02 Kept: 14155
% 100.65/101.02 Inuse: 970
% 100.65/101.02 Deleted: 97
% 100.65/101.02 Deletedinuse: 24
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 236912
% 100.65/101.02 Kept: 16630
% 100.65/101.02 Inuse: 982
% 100.65/101.02 Deleted: 97
% 100.65/101.02 Deletedinuse: 24
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 *** allocated 1297440 integers for clauses
% 100.65/101.02 *** allocated 384427 integers for termspace/termends
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 250911
% 100.65/101.02 Kept: 19066
% 100.65/101.02 Inuse: 995
% 100.65/101.02 Deleted: 98
% 100.65/101.02 Deletedinuse: 25
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying clauses:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 284137
% 100.65/101.02 Kept: 21118
% 100.65/101.02 Inuse: 1034
% 100.65/101.02 Deleted: 1547
% 100.65/101.02 Deletedinuse: 25
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 315157
% 100.65/101.02 Kept: 23172
% 100.65/101.02 Inuse: 1088
% 100.65/101.02 Deleted: 1547
% 100.65/101.02 Deletedinuse: 25
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 338029
% 100.65/101.02 Kept: 25194
% 100.65/101.02 Inuse: 1153
% 100.65/101.02 Deleted: 1554
% 100.65/101.02 Deletedinuse: 32
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 *** allocated 576640 integers for termspace/termends
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 377300
% 100.65/101.02 Kept: 27196
% 100.65/101.02 Inuse: 1222
% 100.65/101.02 Deleted: 1556
% 100.65/101.02 Deletedinuse: 32
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 *** allocated 1946160 integers for clauses
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 409319
% 100.65/101.02 Kept: 29219
% 100.65/101.02 Inuse: 1279
% 100.65/101.02 Deleted: 1556
% 100.65/101.02 Deletedinuse: 32
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 444093
% 100.65/101.02 Kept: 31313
% 100.65/101.02 Inuse: 1337
% 100.65/101.02 Deleted: 1558
% 100.65/101.02 Deletedinuse: 33
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 478454
% 100.65/101.02 Kept: 33320
% 100.65/101.02 Inuse: 1392
% 100.65/101.02 Deleted: 1564
% 100.65/101.02 Deletedinuse: 37
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 533808
% 100.65/101.02 Kept: 35339
% 100.65/101.02 Inuse: 1457
% 100.65/101.02 Deleted: 1571
% 100.65/101.02 Deletedinuse: 37
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 574288
% 100.65/101.02 Kept: 37360
% 100.65/101.02 Inuse: 1529
% 100.65/101.02 Deleted: 1572
% 100.65/101.02 Deletedinuse: 37
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 590737
% 100.65/101.02 Kept: 39368
% 100.65/101.02 Inuse: 1554
% 100.65/101.02 Deleted: 1576
% 100.65/101.02 Deletedinuse: 39
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 *** allocated 864960 integers for termspace/termends
% 100.65/101.02 Resimplifying clauses:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 644905
% 100.65/101.02 Kept: 41626
% 100.65/101.02 Inuse: 1575
% 100.65/101.02 Deleted: 3781
% 100.65/101.02 Deletedinuse: 39
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 *** allocated 2919240 integers for clauses
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 694393
% 100.65/101.02 Kept: 43653
% 100.65/101.02 Inuse: 1627
% 100.65/101.02 Deleted: 3781
% 100.65/101.02 Deletedinuse: 39
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 733028
% 100.65/101.02 Kept: 45734
% 100.65/101.02 Inuse: 1688
% 100.65/101.02 Deleted: 3781
% 100.65/101.02 Deletedinuse: 39
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02 Resimplifying inuse:
% 100.65/101.02 Done
% 100.65/101.02
% 100.65/101.02
% 100.65/101.02 Intermediate Status:
% 100.65/101.02 Generated: 762283
% 100.65/101.02 Kept: 47749
% 212.18/212.64 Inuse: 1722
% 212.18/212.64 Deleted: 3782
% 212.18/212.64 Deletedinuse: 40
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 782769
% 212.18/212.64 Kept: 49779
% 212.18/212.64 Inuse: 1742
% 212.18/212.64 Deleted: 3783
% 212.18/212.64 Deletedinuse: 40
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 797714
% 212.18/212.64 Kept: 51862
% 212.18/212.64 Inuse: 1758
% 212.18/212.64 Deleted: 3783
% 212.18/212.64 Deletedinuse: 40
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 836953
% 212.18/212.64 Kept: 53942
% 212.18/212.64 Inuse: 1784
% 212.18/212.64 Deleted: 3787
% 212.18/212.64 Deletedinuse: 41
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 896136
% 212.18/212.64 Kept: 55961
% 212.18/212.64 Inuse: 1823
% 212.18/212.64 Deleted: 3790
% 212.18/212.64 Deletedinuse: 44
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 948758
% 212.18/212.64 Kept: 58028
% 212.18/212.64 Inuse: 1875
% 212.18/212.64 Deleted: 3802
% 212.18/212.64 Deletedinuse: 56
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 *** allocated 1297440 integers for termspace/termends
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1008624
% 212.18/212.64 Kept: 60038
% 212.18/212.64 Inuse: 1913
% 212.18/212.64 Deleted: 3805
% 212.18/212.64 Deletedinuse: 56
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying clauses:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1062837
% 212.18/212.64 Kept: 62285
% 212.18/212.64 Inuse: 1995
% 212.18/212.64 Deleted: 6177
% 212.18/212.64 Deletedinuse: 56
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1109940
% 212.18/212.64 Kept: 64362
% 212.18/212.64 Inuse: 2037
% 212.18/212.64 Deleted: 6179
% 212.18/212.64 Deletedinuse: 58
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 *** allocated 4378860 integers for clauses
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1182382
% 212.18/212.64 Kept: 66387
% 212.18/212.64 Inuse: 2096
% 212.18/212.64 Deleted: 6179
% 212.18/212.64 Deletedinuse: 58
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1225475
% 212.18/212.64 Kept: 68427
% 212.18/212.64 Inuse: 2132
% 212.18/212.64 Deleted: 6181
% 212.18/212.64 Deletedinuse: 60
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1257602
% 212.18/212.64 Kept: 70544
% 212.18/212.64 Inuse: 2165
% 212.18/212.64 Deleted: 6185
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1312451
% 212.18/212.64 Kept: 73370
% 212.18/212.64 Inuse: 2183
% 212.18/212.64 Deleted: 6185
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1362563
% 212.18/212.64 Kept: 75507
% 212.18/212.64 Inuse: 2197
% 212.18/212.64 Deleted: 6185
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1413515
% 212.18/212.64 Kept: 77507
% 212.18/212.64 Inuse: 2214
% 212.18/212.64 Deleted: 6185
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1471071
% 212.18/212.64 Kept: 79610
% 212.18/212.64 Inuse: 2235
% 212.18/212.64 Deleted: 6186
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying clauses:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1532881
% 212.18/212.64 Kept: 81860
% 212.18/212.64 Inuse: 2257
% 212.18/212.64 Deleted: 8349
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1609050
% 212.18/212.64 Kept: 83872
% 212.18/212.64 Inuse: 2276
% 212.18/212.64 Deleted: 8349
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1654743
% 212.18/212.64 Kept: 85890
% 212.18/212.64 Inuse: 2331
% 212.18/212.64 Deleted: 8349
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 *** allocated 1946160 integers for termspace/termends
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1688153
% 212.18/212.64 Kept: 87926
% 212.18/212.64 Inuse: 2369
% 212.18/212.64 Deleted: 8349
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1716015
% 212.18/212.64 Kept: 90022
% 212.18/212.64 Inuse: 2391
% 212.18/212.64 Deleted: 8349
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1756277
% 212.18/212.64 Kept: 92560
% 212.18/212.64 Inuse: 2401
% 212.18/212.64 Deleted: 8349
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1792444
% 212.18/212.64 Kept: 94605
% 212.18/212.64 Inuse: 2431
% 212.18/212.64 Deleted: 8349
% 212.18/212.64 Deletedinuse: 64
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64 Resimplifying inuse:
% 212.18/212.64 Done
% 212.18/212.64
% 212.18/212.64
% 212.18/212.64 Intermediate Status:
% 212.18/212.64 Generated: 1834042
% 212.18/212.64 Kept: 96620
% 269.21/269.64 Inuse: 2472
% 269.21/269.64 Deleted: 8349
% 269.21/269.64 Deletedinuse: 64
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 1873726
% 269.21/269.64 Kept: 98626
% 269.21/269.64 Inuse: 2518
% 269.21/269.64 Deleted: 8353
% 269.21/269.64 Deletedinuse: 67
% 269.21/269.64
% 269.21/269.64 *** allocated 6568290 integers for clauses
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying clauses:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 1904681
% 269.21/269.64 Kept: 100633
% 269.21/269.64 Inuse: 2541
% 269.21/269.64 Deleted: 11359
% 269.21/269.64 Deletedinuse: 67
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 1946715
% 269.21/269.64 Kept: 102857
% 269.21/269.64 Inuse: 2560
% 269.21/269.64 Deleted: 11360
% 269.21/269.64 Deletedinuse: 67
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2014329
% 269.21/269.64 Kept: 104915
% 269.21/269.64 Inuse: 2606
% 269.21/269.64 Deleted: 11360
% 269.21/269.64 Deletedinuse: 67
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2054224
% 269.21/269.64 Kept: 106930
% 269.21/269.64 Inuse: 2652
% 269.21/269.64 Deleted: 11360
% 269.21/269.64 Deletedinuse: 67
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2106639
% 269.21/269.64 Kept: 108951
% 269.21/269.64 Inuse: 2698
% 269.21/269.64 Deleted: 11360
% 269.21/269.64 Deletedinuse: 67
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2161425
% 269.21/269.64 Kept: 110959
% 269.21/269.64 Inuse: 2754
% 269.21/269.64 Deleted: 11362
% 269.21/269.64 Deletedinuse: 69
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2206818
% 269.21/269.64 Kept: 113207
% 269.21/269.64 Inuse: 2783
% 269.21/269.64 Deleted: 11373
% 269.21/269.64 Deletedinuse: 80
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2260868
% 269.21/269.64 Kept: 115300
% 269.21/269.64 Inuse: 2827
% 269.21/269.64 Deleted: 11374
% 269.21/269.64 Deletedinuse: 80
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2282320
% 269.21/269.64 Kept: 117355
% 269.21/269.64 Inuse: 2847
% 269.21/269.64 Deleted: 11374
% 269.21/269.64 Deletedinuse: 80
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2303216
% 269.21/269.64 Kept: 119406
% 269.21/269.64 Inuse: 2865
% 269.21/269.64 Deleted: 11374
% 269.21/269.64 Deletedinuse: 80
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying clauses:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2358225
% 269.21/269.64 Kept: 121406
% 269.21/269.64 Inuse: 2910
% 269.21/269.64 Deleted: 13847
% 269.21/269.64 Deletedinuse: 80
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2414162
% 269.21/269.64 Kept: 123408
% 269.21/269.64 Inuse: 2959
% 269.21/269.64 Deleted: 13847
% 269.21/269.64 Deletedinuse: 80
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2463289
% 269.21/269.64 Kept: 125621
% 269.21/269.64 Inuse: 2999
% 269.21/269.64 Deleted: 13847
% 269.21/269.64 Deletedinuse: 80
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2487908
% 269.21/269.64 Kept: 127720
% 269.21/269.64 Inuse: 3017
% 269.21/269.64 Deleted: 13851
% 269.21/269.64 Deletedinuse: 81
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2551325
% 269.21/269.64 Kept: 129758
% 269.21/269.64 Inuse: 3064
% 269.21/269.64 Deleted: 13853
% 269.21/269.64 Deletedinuse: 83
% 269.21/269.64
% 269.21/269.64 *** allocated 2919240 integers for termspace/termends
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2606691
% 269.21/269.64 Kept: 131814
% 269.21/269.64 Inuse: 3104
% 269.21/269.64 Deleted: 13853
% 269.21/269.64 Deletedinuse: 83
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2633912
% 269.21/269.64 Kept: 133862
% 269.21/269.64 Inuse: 3135
% 269.21/269.64 Deleted: 13857
% 269.21/269.64 Deletedinuse: 87
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2692188
% 269.21/269.64 Kept: 135879
% 269.21/269.64 Inuse: 3184
% 269.21/269.64 Deleted: 13860
% 269.21/269.64 Deletedinuse: 87
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2716348
% 269.21/269.64 Kept: 137889
% 269.21/269.64 Inuse: 3208
% 269.21/269.64 Deleted: 13864
% 269.21/269.64 Deletedinuse: 89
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2744057
% 269.21/269.64 Kept: 140019
% 269.21/269.64 Inuse: 3228
% 269.21/269.64 Deleted: 13865
% 269.21/269.64 Deletedinuse: 90
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying clauses:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2825374
% 269.21/269.64 Kept: 142021
% 269.21/269.64 Inuse: 3285
% 269.21/269.64 Deleted: 15825
% 269.21/269.64 Deletedinuse: 90
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 *** allocated 9852435 integers for clauses
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2874867
% 269.21/269.64 Kept: 144074
% 269.21/269.64 Inuse: 3332
% 269.21/269.64 Deleted: 15825
% 269.21/269.64 Deletedinuse: 90
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2901640
% 269.21/269.64 Kept: 146110
% 269.21/269.64 Inuse: 3357
% 269.21/269.64 Deleted: 15828
% 269.21/269.64 Deletedinuse: 90
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2928063
% 269.21/269.64 Kept: 148122
% 269.21/269.64 Inuse: 3380
% 269.21/269.64 Deleted: 15828
% 269.21/269.64 Deletedinuse: 90
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2957224
% 269.21/269.64 Kept: 150605
% 269.21/269.64 Inuse: 3405
% 269.21/269.64 Deleted: 15834
% 269.21/269.64 Deletedinuse: 96
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 2987069
% 269.21/269.64 Kept: 152612
% 269.21/269.64 Inuse: 3428
% 269.21/269.64 Deleted: 15834
% 269.21/269.64 Deletedinuse: 96
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 3092965
% 269.21/269.64 Kept: 154946
% 269.21/269.64 Inuse: 3465
% 269.21/269.64 Deleted: 15842
% 269.21/269.64 Deletedinuse: 104
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 3136853
% 269.21/269.64 Kept: 157119
% 269.21/269.64 Inuse: 3490
% 269.21/269.64 Deleted: 15844
% 269.21/269.64 Deletedinuse: 106
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 3188914
% 269.21/269.64 Kept: 159261
% 269.21/269.64 Inuse: 3525
% 269.21/269.64 Deleted: 15845
% 269.21/269.64 Deletedinuse: 107
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying clauses:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Intermediate Status:
% 269.21/269.64 Generated: 3252012
% 269.21/269.64 Kept: 161270
% 269.21/269.64 Inuse: 3580
% 269.21/269.64 Deleted: 17701
% 269.21/269.64 Deletedinuse: 108
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64 Resimplifying inuse:
% 269.21/269.64 Done
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Bliksems!, er is een bewijs:
% 269.21/269.64 % SZS status Theorem
% 269.21/269.64 % SZS output start Refutation
% 269.21/269.64
% 269.21/269.64 (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X ) }.
% 269.21/269.64 (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) ) ==> addition(
% 269.21/269.64 addition( Z, Y ), X ) }.
% 269.21/269.64 (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 269.21/269.64 (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 269.21/269.64 (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 269.21/269.64 (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 269.21/269.64 (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 269.21/269.64 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 269.21/269.64 (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 269.21/269.64 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 269.21/269.64 (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==> zero }.
% 269.21/269.64 (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y ) ==> Y }.
% 269.21/269.64 (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X, Y ) }.
% 269.21/269.64 (13) {G0,W11,D5,L1,V1,M1} I { addition( X, multiplication( domain( X ), X )
% 269.21/269.64 ) ==> multiplication( domain( X ), X ) }.
% 269.21/269.64 (14) {G0,W10,D5,L1,V2,M1} I { domain( multiplication( X, domain( Y ) ) )
% 269.21/269.64 ==> domain( multiplication( X, Y ) ) }.
% 269.21/269.64 (15) {G0,W6,D4,L1,V1,M1} I { addition( domain( X ), one ) ==> one }.
% 269.21/269.64 (16) {G0,W4,D3,L1,V0,M1} I { domain( zero ) ==> zero }.
% 269.21/269.64 (18) {G0,W7,D4,L1,V1,M1} I { addition( domain( X ), antidomain( X ) ) ==>
% 269.21/269.64 one }.
% 269.21/269.64 (19) {G0,W7,D4,L1,V1,M1} I { multiplication( domain( X ), antidomain( X ) )
% 269.21/269.64 ==> zero }.
% 269.21/269.64 (20) {G0,W6,D4,L1,V0,M1} I { ! domain( antidomain( skol1 ) ) ==> antidomain
% 269.21/269.64 ( skol1 ) }.
% 269.21/269.64 (21) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 269.21/269.64 (22) {G1,W6,D4,L1,V1,M1} P(15,0) { addition( one, domain( X ) ) ==> one }.
% 269.21/269.64 (23) {G1,W10,D5,L1,V2,M1} P(15,1) { addition( addition( Y, domain( X ) ),
% 269.21/269.64 one ) ==> addition( Y, one ) }.
% 269.21/269.64 (25) {G1,W9,D4,L1,V2,M1} P(3,1) { addition( addition( Y, X ), X ) ==>
% 269.21/269.64 addition( Y, X ) }.
% 269.21/269.64 (26) {G1,W11,D4,L1,V3,M1} P(1,0) { addition( addition( X, Y ), Z ) =
% 269.21/269.64 addition( addition( Y, Z ), X ) }.
% 269.21/269.64 (30) {G1,W7,D4,L1,V1,M1} P(18,0) { addition( antidomain( X ), domain( X ) )
% 269.21/269.64 ==> one }.
% 269.21/269.64 (35) {G2,W3,D2,L1,V1,M1} R(12,21) { leq( zero, X ) }.
% 269.21/269.64 (36) {G1,W3,D2,L1,V1,M1} R(12,3) { leq( X, X ) }.
% 269.21/269.64 (40) {G1,W14,D4,L2,V3,M2} P(1,12) { ! addition( addition( X, Y ), Z ) ==>
% 269.21/269.64 addition( Y, Z ), leq( X, addition( Y, Z ) ) }.
% 269.21/269.64 (42) {G1,W8,D3,L2,V2,M2} P(0,12) { ! addition( Y, X ) ==> Y, leq( X, Y )
% 269.21/269.64 }.
% 269.21/269.64 (43) {G1,W16,D4,L2,V3,M2} P(7,12) { ! multiplication( X, addition( Y, Z ) )
% 269.21/269.64 ==> multiplication( X, Z ), leq( multiplication( X, Y ), multiplication
% 269.21/269.64 ( X, Z ) ) }.
% 269.21/269.64 (50) {G1,W11,D4,L1,V2,M1} P(5,7) { addition( X, multiplication( X, Y ) ) =
% 269.21/269.64 multiplication( X, addition( one, Y ) ) }.
% 269.21/269.64 (58) {G1,W11,D4,L1,V2,M1} P(6,8) { addition( X, multiplication( Y, X ) ) =
% 269.21/269.64 multiplication( addition( one, Y ), X ) }.
% 269.21/269.64 (62) {G1,W16,D4,L2,V3,M2} P(11,8) { multiplication( addition( X, Z ), Y )
% 269.21/269.64 ==> multiplication( Z, Y ), ! leq( multiplication( X, Y ), multiplication
% 269.21/269.64 ( Z, Y ) ) }.
% 269.21/269.64 (69) {G1,W12,D4,L2,V3,M2} P(11,1) { addition( addition( Z, X ), Y ) ==>
% 269.21/269.64 addition( Z, Y ), ! leq( X, Y ) }.
% 269.21/269.64 (70) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero ) }.
% 269.21/269.64 (71) {G1,W8,D3,L2,V2,M2} P(11,0) { addition( Y, X ) ==> Y, ! leq( X, Y )
% 269.21/269.64 }.
% 269.21/269.64 (127) {G2,W7,D3,L2,V1,M2} P(70,13);d(10);d(2) { ! leq( domain( X ), zero )
% 269.21/269.64 , X = zero }.
% 269.21/269.64 (183) {G2,W6,D4,L1,V1,M1} P(30,23);d(3) { addition( antidomain( X ), one )
% 269.21/269.64 ==> one }.
% 269.21/269.64 (211) {G2,W5,D3,L1,V2,M1} R(25,42) { leq( X, addition( Y, X ) ) }.
% 269.21/269.64 (244) {G3,W7,D4,L1,V3,M1} P(26,211) { leq( Z, addition( addition( Y, Z ), X
% 269.21/269.64 ) ) }.
% 269.21/269.64 (422) {G2,W8,D3,L2,V3,M2} P(11,40);q { leq( X, addition( Y, Z ) ), ! leq( X
% 269.21/269.64 , Y ) }.
% 269.21/269.64 (438) {G3,W6,D4,L1,V2,M1} P(183,43);q;d(5) { leq( multiplication( Y,
% 269.21/269.64 antidomain( X ) ), Y ) }.
% 269.21/269.64 (445) {G2,W6,D4,L1,V2,M1} P(15,43);q;d(5) { leq( multiplication( Y, domain
% 269.21/269.64 ( X ) ), Y ) }.
% 269.21/269.64 (587) {G2,W8,D5,L1,V2,M1} P(22,50);d(5) { addition( Y, multiplication( Y,
% 269.21/269.64 domain( X ) ) ) ==> Y }.
% 269.21/269.64 (649) {G3,W12,D4,L2,V2,M2} P(14,127) { ! leq( domain( multiplication( X, Y
% 269.21/269.64 ) ), zero ), multiplication( X, domain( Y ) ) ==> zero }.
% 269.21/269.64 (1074) {G2,W6,D4,L1,V1,M1} P(58,13);d(22);d(6) { multiplication( domain( X
% 269.21/269.64 ), X ) ==> X }.
% 269.21/269.64 (1090) {G4,W6,D4,L1,V1,M1} P(1074,438) { leq( antidomain( X ), domain(
% 269.21/269.64 antidomain( X ) ) ) }.
% 269.21/269.64 (1259) {G2,W15,D4,L2,V2,M2} P(18,62);d(6) { ! leq( multiplication( domain(
% 269.21/269.64 X ), Y ), multiplication( antidomain( X ), Y ) ), multiplication(
% 269.21/269.64 antidomain( X ), Y ) ==> Y }.
% 269.21/269.64 (1591) {G4,W8,D3,L2,V3,M2} P(69,244) { leq( Y, addition( X, Z ) ), ! leq( Y
% 269.21/269.64 , Z ) }.
% 269.21/269.64 (1659) {G2,W9,D2,L3,V2,M3} P(71,11) { ! leq( X, Y ), X = Y, ! leq( Y, X )
% 269.21/269.64 }.
% 269.21/269.64 (1940) {G3,W8,D4,L1,V3,M1} R(422,445) { leq( multiplication( X, domain( Y )
% 269.21/269.64 ), addition( X, Z ) ) }.
% 269.21/269.64 (6074) {G4,W9,D4,L2,V3,M2} P(11,1940) { leq( multiplication( X, domain( Z )
% 269.21/269.64 ), Y ), ! leq( X, Y ) }.
% 269.21/269.64 (10143) {G5,W9,D4,L2,V3,M2} P(587,1591) { leq( Z, X ), ! leq( Z,
% 269.21/269.64 multiplication( X, domain( Y ) ) ) }.
% 269.21/269.64 (15881) {G5,W12,D4,L2,V1,M2} R(1659,1090) { domain( antidomain( X ) ) ==>
% 269.21/269.64 antidomain( X ), ! leq( domain( antidomain( X ) ), antidomain( X ) ) }.
% 269.21/269.64 (16618) {G3,W14,D4,L3,V1,M3} P(1659,20) { ! X = antidomain( skol1 ), ! leq
% 269.21/269.64 ( domain( antidomain( skol1 ) ), X ), ! leq( X, domain( antidomain( skol1
% 269.21/269.64 ) ) ) }.
% 269.21/269.64 (16624) {G6,W6,D4,L1,V0,M1} Q(16618);d(15881);r(36) { ! leq( domain(
% 269.21/269.64 antidomain( skol1 ) ), antidomain( skol1 ) ) }.
% 269.21/269.64 (46750) {G7,W9,D4,L1,V1,M1} R(10143,16624) { ! leq( domain( antidomain(
% 269.21/269.64 skol1 ) ), multiplication( antidomain( skol1 ), domain( X ) ) ) }.
% 269.21/269.64 (47051) {G8,W15,D5,L1,V1,M1} R(46750,42) { ! addition( multiplication(
% 269.21/269.64 antidomain( skol1 ), domain( X ) ), domain( antidomain( skol1 ) ) ) ==>
% 269.21/269.64 multiplication( antidomain( skol1 ), domain( X ) ) }.
% 269.21/269.64 (50149) {G5,W9,D4,L1,V2,M1} R(6074,1090) { leq( multiplication( antidomain
% 269.21/269.64 ( X ), domain( Y ) ), domain( antidomain( X ) ) ) }.
% 269.21/269.64 (50166) {G6,W13,D5,L1,V2,M1} R(50149,11) { addition( multiplication(
% 269.21/269.64 antidomain( X ), domain( Y ) ), domain( antidomain( X ) ) ) ==> domain(
% 269.21/269.64 antidomain( X ) ) }.
% 269.21/269.64 (54623) {G4,W8,D5,L1,V1,M1} P(19,649);d(16);r(36) { multiplication( domain
% 269.21/269.64 ( X ), domain( antidomain( X ) ) ) ==> zero }.
% 269.21/269.64 (60379) {G9,W9,D4,L1,V1,M1} S(47051);d(50166) { ! multiplication(
% 269.21/269.64 antidomain( skol1 ), domain( X ) ) ==> domain( antidomain( skol1 ) ) }.
% 269.21/269.64 (162842) {G10,W0,D0,L0,V0,M0} R(1259,60379);d(54623);r(35) { }.
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 % SZS output end Refutation
% 269.21/269.64 found a proof!
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Unprocessed initial clauses:
% 269.21/269.64
% 269.21/269.64 (162844) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X ) }.
% 269.21/269.64 (162845) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) = addition
% 269.21/269.64 ( addition( Z, Y ), X ) }.
% 269.21/269.64 (162846) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 269.21/269.64 (162847) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 269.21/269.64 (162848) {G0,W11,D4,L1,V3,M1} { multiplication( X, multiplication( Y, Z )
% 269.21/269.64 ) = multiplication( multiplication( X, Y ), Z ) }.
% 269.21/269.64 (162849) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 269.21/269.64 (162850) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 269.21/269.64 (162851) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z ) ) =
% 269.21/269.64 addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 269.21/269.64 (162852) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y ), Z ) =
% 269.21/269.64 addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 269.21/269.64 (162853) {G0,W5,D3,L1,V1,M1} { multiplication( X, zero ) = zero }.
% 269.21/269.64 (162854) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero }.
% 269.21/269.64 (162855) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) = Y }.
% 269.21/269.64 (162856) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 269.21/269.64 (162857) {G0,W11,D5,L1,V1,M1} { addition( X, multiplication( domain( X ),
% 269.21/269.64 X ) ) = multiplication( domain( X ), X ) }.
% 269.21/269.64 (162858) {G0,W10,D5,L1,V2,M1} { domain( multiplication( X, Y ) ) = domain
% 269.21/269.64 ( multiplication( X, domain( Y ) ) ) }.
% 269.21/269.64 (162859) {G0,W6,D4,L1,V1,M1} { addition( domain( X ), one ) = one }.
% 269.21/269.64 (162860) {G0,W4,D3,L1,V0,M1} { domain( zero ) = zero }.
% 269.21/269.64 (162861) {G0,W10,D4,L1,V2,M1} { domain( addition( X, Y ) ) = addition(
% 269.21/269.64 domain( X ), domain( Y ) ) }.
% 269.21/269.64 (162862) {G0,W7,D4,L1,V1,M1} { addition( domain( X ), antidomain( X ) ) =
% 269.21/269.64 one }.
% 269.21/269.64 (162863) {G0,W7,D4,L1,V1,M1} { multiplication( domain( X ), antidomain( X
% 269.21/269.64 ) ) = zero }.
% 269.21/269.64 (162864) {G0,W6,D4,L1,V0,M1} { ! domain( antidomain( skol1 ) ) =
% 269.21/269.64 antidomain( skol1 ) }.
% 269.21/269.64
% 269.21/269.64
% 269.21/269.64 Total Proof:
% 269.21/269.64
% 269.21/269.64 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X
% 269.21/269.64 ) }.
% 269.21/269.64 parent0: (162844) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X
% 269.21/269.64 ) }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 Y := Y
% 269.21/269.64 end
% 269.21/269.64 permutation0:
% 269.21/269.64 0 ==> 0
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 269.21/269.64 ==> addition( addition( Z, Y ), X ) }.
% 269.21/269.64 parent0: (162845) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) =
% 269.21/269.64 addition( addition( Z, Y ), X ) }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 Y := Y
% 269.21/269.64 Z := Z
% 269.21/269.64 end
% 269.21/269.64 permutation0:
% 269.21/269.64 0 ==> 0
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 subsumption: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 269.21/269.64 parent0: (162846) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 end
% 269.21/269.64 permutation0:
% 269.21/269.64 0 ==> 0
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 subsumption: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 269.21/269.64 parent0: (162847) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 end
% 269.21/269.64 permutation0:
% 269.21/269.64 0 ==> 0
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 269.21/269.64 parent0: (162849) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 end
% 269.21/269.64 permutation0:
% 269.21/269.64 0 ==> 0
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 subsumption: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 269.21/269.64 parent0: (162850) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 end
% 269.21/269.64 permutation0:
% 269.21/269.64 0 ==> 0
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 eqswap: (162888) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y ),
% 269.21/269.64 multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 269.21/269.64 parent0[0]: (162851) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y
% 269.21/269.64 , Z ) ) = addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 Y := Y
% 269.21/269.64 Z := Z
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 subsumption: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y )
% 269.21/269.64 , multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 269.21/269.64 parent0: (162888) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y )
% 269.21/269.64 , multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 Y := Y
% 269.21/269.64 Z := Z
% 269.21/269.64 end
% 269.21/269.64 permutation0:
% 269.21/269.64 0 ==> 0
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 eqswap: (162896) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Z ),
% 269.21/269.64 multiplication( Y, Z ) ) = multiplication( addition( X, Y ), Z ) }.
% 269.21/269.64 parent0[0]: (162852) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y
% 269.21/269.64 ), Z ) = addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 Y := Y
% 269.21/269.64 Z := Z
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 subsumption: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z )
% 269.21/269.64 , multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 269.21/269.64 parent0: (162896) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Z )
% 269.21/269.64 , multiplication( Y, Z ) ) = multiplication( addition( X, Y ), Z ) }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 Y := Y
% 269.21/269.64 Z := Z
% 269.21/269.64 end
% 269.21/269.64 permutation0:
% 269.21/269.64 0 ==> 0
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 subsumption: (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==>
% 269.21/269.64 zero }.
% 269.21/269.64 parent0: (162854) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero
% 269.21/269.64 }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 end
% 269.21/269.64 permutation0:
% 269.21/269.64 0 ==> 0
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 subsumption: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 269.21/269.64 ==> Y }.
% 269.21/269.64 parent0: (162855) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) =
% 269.21/269.64 Y }.
% 269.21/269.64 substitution0:
% 269.21/269.64 X := X
% 269.21/269.64 Y := Y
% 269.21/269.64 end
% 269.21/269.64 permutation0:
% 269.21/269.64 0 ==> 0
% 269.21/269.64 1 ==> 1
% 269.21/269.64 end
% 269.21/269.64
% 269.21/269.64 subsumption: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X
% 269.21/269.64 , Y ) }.
% 269.21/269.64 parent0: (162856) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y
% 269.23/269.64 ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 1 ==> 1
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (13) {G0,W11,D5,L1,V1,M1} I { addition( X, multiplication(
% 269.23/269.64 domain( X ), X ) ) ==> multiplication( domain( X ), X ) }.
% 269.23/269.64 parent0: (162857) {G0,W11,D5,L1,V1,M1} { addition( X, multiplication(
% 269.23/269.64 domain( X ), X ) ) = multiplication( domain( X ), X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (162956) {G0,W10,D5,L1,V2,M1} { domain( multiplication( X, domain
% 269.23/269.64 ( Y ) ) ) = domain( multiplication( X, Y ) ) }.
% 269.23/269.64 parent0[0]: (162858) {G0,W10,D5,L1,V2,M1} { domain( multiplication( X, Y )
% 269.23/269.64 ) = domain( multiplication( X, domain( Y ) ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (14) {G0,W10,D5,L1,V2,M1} I { domain( multiplication( X,
% 269.23/269.64 domain( Y ) ) ) ==> domain( multiplication( X, Y ) ) }.
% 269.23/269.64 parent0: (162956) {G0,W10,D5,L1,V2,M1} { domain( multiplication( X, domain
% 269.23/269.64 ( Y ) ) ) = domain( multiplication( X, Y ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (15) {G0,W6,D4,L1,V1,M1} I { addition( domain( X ), one ) ==>
% 269.23/269.64 one }.
% 269.23/269.64 parent0: (162859) {G0,W6,D4,L1,V1,M1} { addition( domain( X ), one ) = one
% 269.23/269.64 }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (16) {G0,W4,D3,L1,V0,M1} I { domain( zero ) ==> zero }.
% 269.23/269.64 parent0: (162860) {G0,W4,D3,L1,V0,M1} { domain( zero ) = zero }.
% 269.23/269.64 substitution0:
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (18) {G0,W7,D4,L1,V1,M1} I { addition( domain( X ), antidomain
% 269.23/269.64 ( X ) ) ==> one }.
% 269.23/269.64 parent0: (162862) {G0,W7,D4,L1,V1,M1} { addition( domain( X ), antidomain
% 269.23/269.64 ( X ) ) = one }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (19) {G0,W7,D4,L1,V1,M1} I { multiplication( domain( X ),
% 269.23/269.64 antidomain( X ) ) ==> zero }.
% 269.23/269.64 parent0: (162863) {G0,W7,D4,L1,V1,M1} { multiplication( domain( X ),
% 269.23/269.64 antidomain( X ) ) = zero }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (20) {G0,W6,D4,L1,V0,M1} I { ! domain( antidomain( skol1 ) )
% 269.23/269.64 ==> antidomain( skol1 ) }.
% 269.23/269.64 parent0: (162864) {G0,W6,D4,L1,V0,M1} { ! domain( antidomain( skol1 ) ) =
% 269.23/269.64 antidomain( skol1 ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163045) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, zero ) }.
% 269.23/269.64 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163046) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 269.23/269.64 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 269.23/269.64 }.
% 269.23/269.64 parent1[0; 2]: (163045) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, zero )
% 269.23/269.64 }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := zero
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163049) {G1,W5,D3,L1,V1,M1} { addition( zero, X ) ==> X }.
% 269.23/269.64 parent0[0]: (163046) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (21) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X
% 269.23/269.64 }.
% 269.23/269.64 parent0: (163049) {G1,W5,D3,L1,V1,M1} { addition( zero, X ) ==> X }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163050) {G0,W6,D4,L1,V1,M1} { one ==> addition( domain( X ), one
% 269.23/269.64 ) }.
% 269.23/269.64 parent0[0]: (15) {G0,W6,D4,L1,V1,M1} I { addition( domain( X ), one ) ==>
% 269.23/269.64 one }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163051) {G1,W6,D4,L1,V1,M1} { one ==> addition( one, domain( X )
% 269.23/269.64 ) }.
% 269.23/269.64 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 269.23/269.64 }.
% 269.23/269.64 parent1[0; 2]: (163050) {G0,W6,D4,L1,V1,M1} { one ==> addition( domain( X
% 269.23/269.64 ), one ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := domain( X )
% 269.23/269.64 Y := one
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163054) {G1,W6,D4,L1,V1,M1} { addition( one, domain( X ) ) ==>
% 269.23/269.64 one }.
% 269.23/269.64 parent0[0]: (163051) {G1,W6,D4,L1,V1,M1} { one ==> addition( one, domain(
% 269.23/269.64 X ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (22) {G1,W6,D4,L1,V1,M1} P(15,0) { addition( one, domain( X )
% 269.23/269.64 ) ==> one }.
% 269.23/269.64 parent0: (163054) {G1,W6,D4,L1,V1,M1} { addition( one, domain( X ) ) ==>
% 269.23/269.64 one }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163056) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y ), Z )
% 269.23/269.64 ==> addition( X, addition( Y, Z ) ) }.
% 269.23/269.64 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 269.23/269.64 ==> addition( addition( Z, Y ), X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Z
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163058) {G1,W10,D5,L1,V2,M1} { addition( addition( X, domain( Y
% 269.23/269.64 ) ), one ) ==> addition( X, one ) }.
% 269.23/269.64 parent0[0]: (15) {G0,W6,D4,L1,V1,M1} I { addition( domain( X ), one ) ==>
% 269.23/269.64 one }.
% 269.23/269.64 parent1[0; 9]: (163056) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y )
% 269.23/269.64 , Z ) ==> addition( X, addition( Y, Z ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := X
% 269.23/269.64 Y := domain( Y )
% 269.23/269.64 Z := one
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (23) {G1,W10,D5,L1,V2,M1} P(15,1) { addition( addition( Y,
% 269.23/269.64 domain( X ) ), one ) ==> addition( Y, one ) }.
% 269.23/269.64 parent0: (163058) {G1,W10,D5,L1,V2,M1} { addition( addition( X, domain( Y
% 269.23/269.64 ) ), one ) ==> addition( X, one ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 Y := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163062) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y ), Z )
% 269.23/269.64 ==> addition( X, addition( Y, Z ) ) }.
% 269.23/269.64 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 269.23/269.64 ==> addition( addition( Z, Y ), X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Z
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163068) {G1,W9,D4,L1,V2,M1} { addition( addition( X, Y ), Y )
% 269.23/269.64 ==> addition( X, Y ) }.
% 269.23/269.64 parent0[0]: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 269.23/269.64 parent1[0; 8]: (163062) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y )
% 269.23/269.64 , Z ) ==> addition( X, addition( Y, Z ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (25) {G1,W9,D4,L1,V2,M1} P(3,1) { addition( addition( Y, X ),
% 269.23/269.64 X ) ==> addition( Y, X ) }.
% 269.23/269.64 parent0: (163068) {G1,W9,D4,L1,V2,M1} { addition( addition( X, Y ), Y )
% 269.23/269.64 ==> addition( X, Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 Y := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163073) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y ), Z )
% 269.23/269.64 ==> addition( X, addition( Y, Z ) ) }.
% 269.23/269.64 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 269.23/269.64 ==> addition( addition( Z, Y ), X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Z
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163076) {G1,W11,D4,L1,V3,M1} { addition( addition( X, Y ), Z )
% 269.23/269.64 ==> addition( addition( Y, Z ), X ) }.
% 269.23/269.64 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 269.23/269.64 }.
% 269.23/269.64 parent1[0; 6]: (163073) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y )
% 269.23/269.64 , Z ) ==> addition( X, addition( Y, Z ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := addition( Y, Z )
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := Z
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (26) {G1,W11,D4,L1,V3,M1} P(1,0) { addition( addition( X, Y )
% 269.23/269.64 , Z ) = addition( addition( Y, Z ), X ) }.
% 269.23/269.64 parent0: (163076) {G1,W11,D4,L1,V3,M1} { addition( addition( X, Y ), Z )
% 269.23/269.64 ==> addition( addition( Y, Z ), X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := Z
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163090) {G0,W7,D4,L1,V1,M1} { one ==> addition( domain( X ),
% 269.23/269.64 antidomain( X ) ) }.
% 269.23/269.64 parent0[0]: (18) {G0,W7,D4,L1,V1,M1} I { addition( domain( X ), antidomain
% 269.23/269.64 ( X ) ) ==> one }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163091) {G1,W7,D4,L1,V1,M1} { one ==> addition( antidomain( X )
% 269.23/269.64 , domain( X ) ) }.
% 269.23/269.64 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 269.23/269.64 }.
% 269.23/269.64 parent1[0; 2]: (163090) {G0,W7,D4,L1,V1,M1} { one ==> addition( domain( X
% 269.23/269.64 ), antidomain( X ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := domain( X )
% 269.23/269.64 Y := antidomain( X )
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163094) {G1,W7,D4,L1,V1,M1} { addition( antidomain( X ), domain(
% 269.23/269.64 X ) ) ==> one }.
% 269.23/269.64 parent0[0]: (163091) {G1,W7,D4,L1,V1,M1} { one ==> addition( antidomain( X
% 269.23/269.64 ), domain( X ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (30) {G1,W7,D4,L1,V1,M1} P(18,0) { addition( antidomain( X ),
% 269.23/269.64 domain( X ) ) ==> one }.
% 269.23/269.64 parent0: (163094) {G1,W7,D4,L1,V1,M1} { addition( antidomain( X ), domain
% 269.23/269.64 ( X ) ) ==> one }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163095) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 269.23/269.64 ) }.
% 269.23/269.64 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 269.23/269.64 Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163096) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 269.23/269.64 parent0[0]: (21) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 resolution: (163097) {G1,W3,D2,L1,V1,M1} { leq( zero, X ) }.
% 269.23/269.64 parent0[0]: (163095) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq(
% 269.23/269.64 X, Y ) }.
% 269.23/269.64 parent1[0]: (163096) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := zero
% 269.23/269.64 Y := X
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (35) {G2,W3,D2,L1,V1,M1} R(12,21) { leq( zero, X ) }.
% 269.23/269.64 parent0: (163097) {G1,W3,D2,L1,V1,M1} { leq( zero, X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163098) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 269.23/269.64 ) }.
% 269.23/269.64 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 269.23/269.64 Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163099) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, X ) }.
% 269.23/269.64 parent0[0]: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 resolution: (163100) {G1,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 269.23/269.64 parent0[0]: (163098) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq(
% 269.23/269.64 X, Y ) }.
% 269.23/269.64 parent1[0]: (163099) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := X
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (36) {G1,W3,D2,L1,V1,M1} R(12,3) { leq( X, X ) }.
% 269.23/269.64 parent0: (163100) {G1,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163102) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 269.23/269.64 ) }.
% 269.23/269.64 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 269.23/269.64 Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163103) {G1,W14,D4,L2,V3,M2} { ! addition( X, Y ) ==> addition(
% 269.23/269.64 addition( Z, X ), Y ), leq( Z, addition( X, Y ) ) }.
% 269.23/269.64 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 269.23/269.64 ==> addition( addition( Z, Y ), X ) }.
% 269.23/269.64 parent1[0; 5]: (163102) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ),
% 269.23/269.64 leq( X, Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 Y := X
% 269.23/269.64 Z := Z
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := Z
% 269.23/269.64 Y := addition( X, Y )
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163104) {G1,W14,D4,L2,V3,M2} { ! addition( addition( Z, X ), Y )
% 269.23/269.64 ==> addition( X, Y ), leq( Z, addition( X, Y ) ) }.
% 269.23/269.64 parent0[0]: (163103) {G1,W14,D4,L2,V3,M2} { ! addition( X, Y ) ==>
% 269.23/269.64 addition( addition( Z, X ), Y ), leq( Z, addition( X, Y ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := Z
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (40) {G1,W14,D4,L2,V3,M2} P(1,12) { ! addition( addition( X, Y
% 269.23/269.64 ), Z ) ==> addition( Y, Z ), leq( X, addition( Y, Z ) ) }.
% 269.23/269.64 parent0: (163104) {G1,W14,D4,L2,V3,M2} { ! addition( addition( Z, X ), Y )
% 269.23/269.64 ==> addition( X, Y ), leq( Z, addition( X, Y ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 Y := Z
% 269.23/269.64 Z := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 1 ==> 1
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163105) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 269.23/269.64 ) }.
% 269.23/269.64 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 269.23/269.64 Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163106) {G1,W8,D3,L2,V2,M2} { ! X ==> addition( X, Y ), leq( Y,
% 269.23/269.64 X ) }.
% 269.23/269.64 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 269.23/269.64 }.
% 269.23/269.64 parent1[0; 3]: (163105) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ),
% 269.23/269.64 leq( X, Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 Y := X
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := Y
% 269.23/269.64 Y := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163109) {G1,W8,D3,L2,V2,M2} { ! addition( X, Y ) ==> X, leq( Y, X
% 269.23/269.64 ) }.
% 269.23/269.64 parent0[0]: (163106) {G1,W8,D3,L2,V2,M2} { ! X ==> addition( X, Y ), leq(
% 269.23/269.64 Y, X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (42) {G1,W8,D3,L2,V2,M2} P(0,12) { ! addition( Y, X ) ==> Y,
% 269.23/269.64 leq( X, Y ) }.
% 269.23/269.64 parent0: (163109) {G1,W8,D3,L2,V2,M2} { ! addition( X, Y ) ==> X, leq( Y,
% 269.23/269.64 X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 Y := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 1 ==> 1
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163111) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 269.23/269.64 ) }.
% 269.23/269.64 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 269.23/269.64 Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163112) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Y ) ==>
% 269.23/269.64 multiplication( X, addition( Z, Y ) ), leq( multiplication( X, Z ),
% 269.23/269.64 multiplication( X, Y ) ) }.
% 269.23/269.64 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 269.23/269.64 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 269.23/269.64 parent1[0; 5]: (163111) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ),
% 269.23/269.64 leq( X, Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Z
% 269.23/269.64 Z := Y
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := multiplication( X, Z )
% 269.23/269.64 Y := multiplication( X, Y )
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163113) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, addition( Z,
% 269.23/269.64 Y ) ) ==> multiplication( X, Y ), leq( multiplication( X, Z ),
% 269.23/269.64 multiplication( X, Y ) ) }.
% 269.23/269.64 parent0[0]: (163112) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Y ) ==>
% 269.23/269.64 multiplication( X, addition( Z, Y ) ), leq( multiplication( X, Z ),
% 269.23/269.64 multiplication( X, Y ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := Z
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (43) {G1,W16,D4,L2,V3,M2} P(7,12) { ! multiplication( X,
% 269.23/269.64 addition( Y, Z ) ) ==> multiplication( X, Z ), leq( multiplication( X, Y
% 269.23/269.64 ), multiplication( X, Z ) ) }.
% 269.23/269.64 parent0: (163113) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, addition( Z
% 269.23/269.64 , Y ) ) ==> multiplication( X, Y ), leq( multiplication( X, Z ),
% 269.23/269.64 multiplication( X, Y ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Z
% 269.23/269.64 Z := Y
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 1 ==> 1
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163115) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z
% 269.23/269.64 ) ) ==> addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 269.23/269.64 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 269.23/269.64 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := Z
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163116) {G1,W11,D4,L1,V2,M1} { multiplication( X, addition( one
% 269.23/269.64 , Y ) ) ==> addition( X, multiplication( X, Y ) ) }.
% 269.23/269.64 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 269.23/269.64 parent1[0; 7]: (163115) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition
% 269.23/269.64 ( Y, Z ) ) ==> addition( multiplication( X, Y ), multiplication( X, Z ) )
% 269.23/269.64 }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := X
% 269.23/269.64 Y := one
% 269.23/269.64 Z := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163118) {G1,W11,D4,L1,V2,M1} { addition( X, multiplication( X, Y
% 269.23/269.64 ) ) ==> multiplication( X, addition( one, Y ) ) }.
% 269.23/269.64 parent0[0]: (163116) {G1,W11,D4,L1,V2,M1} { multiplication( X, addition(
% 269.23/269.64 one, Y ) ) ==> addition( X, multiplication( X, Y ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (50) {G1,W11,D4,L1,V2,M1} P(5,7) { addition( X, multiplication
% 269.23/269.64 ( X, Y ) ) = multiplication( X, addition( one, Y ) ) }.
% 269.23/269.64 parent0: (163118) {G1,W11,D4,L1,V2,M1} { addition( X, multiplication( X, Y
% 269.23/269.64 ) ) ==> multiplication( X, addition( one, Y ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163121) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Z ),
% 269.23/269.64 Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) ) }.
% 269.23/269.64 parent0[0]: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 269.23/269.64 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Z
% 269.23/269.64 Z := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163122) {G1,W11,D4,L1,V2,M1} { multiplication( addition( one, X
% 269.23/269.64 ), Y ) ==> addition( Y, multiplication( X, Y ) ) }.
% 269.23/269.64 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 269.23/269.64 parent1[0; 7]: (163121) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X
% 269.23/269.64 , Z ), Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) )
% 269.23/269.64 }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := one
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163124) {G1,W11,D4,L1,V2,M1} { addition( Y, multiplication( X, Y
% 269.23/269.64 ) ) ==> multiplication( addition( one, X ), Y ) }.
% 269.23/269.64 parent0[0]: (163122) {G1,W11,D4,L1,V2,M1} { multiplication( addition( one
% 269.23/269.64 , X ), Y ) ==> addition( Y, multiplication( X, Y ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (58) {G1,W11,D4,L1,V2,M1} P(6,8) { addition( X, multiplication
% 269.23/269.64 ( Y, X ) ) = multiplication( addition( one, Y ), X ) }.
% 269.23/269.64 parent0: (163124) {G1,W11,D4,L1,V2,M1} { addition( Y, multiplication( X, Y
% 269.23/269.64 ) ) ==> multiplication( addition( one, X ), Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 Y := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163126) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 269.23/269.64 ) }.
% 269.23/269.64 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 269.23/269.64 ==> Y }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163128) {G1,W16,D4,L2,V3,M2} { multiplication( X, Y ) ==>
% 269.23/269.64 multiplication( addition( Z, X ), Y ), ! leq( multiplication( Z, Y ),
% 269.23/269.64 multiplication( X, Y ) ) }.
% 269.23/269.64 parent0[0]: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 269.23/269.64 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 269.23/269.64 parent1[0; 4]: (163126) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), !
% 269.23/269.64 leq( X, Y ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Z
% 269.23/269.64 Y := X
% 269.23/269.64 Z := Y
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := multiplication( Z, Y )
% 269.23/269.64 Y := multiplication( X, Y )
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163129) {G1,W16,D4,L2,V3,M2} { multiplication( addition( Z, X ),
% 269.23/269.64 Y ) ==> multiplication( X, Y ), ! leq( multiplication( Z, Y ),
% 269.23/269.64 multiplication( X, Y ) ) }.
% 269.23/269.64 parent0[0]: (163128) {G1,W16,D4,L2,V3,M2} { multiplication( X, Y ) ==>
% 269.23/269.64 multiplication( addition( Z, X ), Y ), ! leq( multiplication( Z, Y ),
% 269.23/269.64 multiplication( X, Y ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := Z
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (62) {G1,W16,D4,L2,V3,M2} P(11,8) { multiplication( addition(
% 269.23/269.64 X, Z ), Y ) ==> multiplication( Z, Y ), ! leq( multiplication( X, Y ),
% 269.23/269.64 multiplication( Z, Y ) ) }.
% 269.23/269.64 parent0: (163129) {G1,W16,D4,L2,V3,M2} { multiplication( addition( Z, X )
% 269.23/269.64 , Y ) ==> multiplication( X, Y ), ! leq( multiplication( Z, Y ),
% 269.23/269.64 multiplication( X, Y ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Z
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := X
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 1 ==> 1
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163131) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y ), Z )
% 269.23/269.64 ==> addition( X, addition( Y, Z ) ) }.
% 269.23/269.64 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 269.23/269.64 ==> addition( addition( Z, Y ), X ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Z
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := X
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163137) {G1,W12,D4,L2,V3,M2} { addition( addition( X, Y ), Z )
% 269.23/269.64 ==> addition( X, Z ), ! leq( Y, Z ) }.
% 269.23/269.64 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 269.23/269.64 ==> Y }.
% 269.23/269.64 parent1[0; 8]: (163131) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y )
% 269.23/269.64 , Z ) ==> addition( X, addition( Y, Z ) ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Y
% 269.23/269.64 Y := Z
% 269.23/269.64 end
% 269.23/269.64 substitution1:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 Z := Z
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 subsumption: (69) {G1,W12,D4,L2,V3,M2} P(11,1) { addition( addition( Z, X )
% 269.23/269.64 , Y ) ==> addition( Z, Y ), ! leq( X, Y ) }.
% 269.23/269.64 parent0: (163137) {G1,W12,D4,L2,V3,M2} { addition( addition( X, Y ), Z )
% 269.23/269.64 ==> addition( X, Z ), ! leq( Y, Z ) }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := Z
% 269.23/269.64 Y := X
% 269.23/269.64 Z := Y
% 269.23/269.64 end
% 269.23/269.64 permutation0:
% 269.23/269.64 0 ==> 0
% 269.23/269.64 1 ==> 1
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 eqswap: (163184) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 269.23/269.64 ) }.
% 269.23/269.64 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 269.23/269.64 ==> Y }.
% 269.23/269.64 substitution0:
% 269.23/269.64 X := X
% 269.23/269.64 Y := Y
% 269.23/269.64 end
% 269.23/269.64
% 269.23/269.64 paramod: (163186) {G1,W6,D2,L2,V1,M2} { zero ==> X, ! leq( X, zero ) }.
% 269.23/269.65 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 269.23/269.65 parent1[0; 2]: (163184) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), !
% 269.23/269.65 leq( X, Y ) }.
% 269.23/269.65 substitution0:
% 269.23/269.65 X := X
% 269.23/269.65 end
% 269.23/269.65 substitution1:
% 269.23/269.65 X := X
% 269.23/269.65 Y := zero
% 269.23/269.65 end
% 269.23/269.65
% 269.23/269.65 subsumption: (70) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero )
% 269.23/269.65 }.
% 269.23/269.65 parent0: (163186) {G1,W6,D2,L2,V1,M2} { zero ==> X, ! leq( X, zero ) }.
% 269.23/269.65 substitution0:
% 269.23/269.65 X := X
% 269.23/269.65 end
% 269.23/269.65 permutation0:
% 269.23/269.65 0 ==> 0
% 269.23/269.65 1 ==> 1
% 269.23/269.65 end
% 269.23/269.65
% 269.23/269.65 eqswap: (163188) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 269.23/269.65 ) }.
% 269.23/269.65 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 269.23/269.65 ==> Y }.
% 269.23/269.65 substitution0:
% 269.23/269.65 X := X
% 269.23/269.65 Y := Y
% 269.23/269.65 end
% 269.23/269.65
% 269.23/269.65 paramod: (163189) {G1,W8,D3,L2,V2,M2} { X ==> addition( X, Y ), ! leq( Y,
% 269.23/269.65 X ) }.
% 269.23/269.65 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 269.23/269.65 }.
% 269.23/269.65 parent1[0; 2]: (163188) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), !
% 269.23/269.65 leq( X, Y ) }.
% 269.23/269.65 substitution0:
% 269.23/269.65 X := Y
% 269.23/269.65 Y := X
% 269.23/269.65 end
% 269.23/269.65 substitution1:
% 269.23/269.65 X := Y
% 269.23/269.65 Y := X
% 269.23/269.65 end
% 269.23/269.66
% 269.23/269.66 eqswap: (163192) {G1,W8,D3,L2,V2,M2} { addition( X, Y ) ==> X, ! leq( Y, X
% 269.23/269.66 ) }.
% 269.23/269.66 parent0[0]: (163189) {G1,W8,D3,L2,V2,M2} { X ==> addition( X, Y ), ! leq(
% 269.23/269.66 Y, X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (71) {G1,W8,D3,L2,V2,M2} P(11,0) { addition( Y, X ) ==> Y, !
% 269.23/269.66 leq( X, Y ) }.
% 269.23/269.66 parent0: (163192) {G1,W8,D3,L2,V2,M2} { addition( X, Y ) ==> X, ! leq( Y,
% 269.23/269.66 X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 1 ==> 1
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (163193) {G1,W6,D2,L2,V1,M2} { X = zero, ! leq( X, zero ) }.
% 269.23/269.66 parent0[0]: (70) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero )
% 269.23/269.66 }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (164378) {G1,W14,D5,L2,V1,M2} { addition( X, multiplication(
% 269.23/269.66 domain( X ), X ) ) ==> multiplication( zero, X ), ! leq( domain( X ),
% 269.23/269.66 zero ) }.
% 269.23/269.66 parent0[0]: (163193) {G1,W6,D2,L2,V1,M2} { X = zero, ! leq( X, zero ) }.
% 269.23/269.66 parent1[0; 8]: (13) {G0,W11,D5,L1,V1,M1} I { addition( X, multiplication(
% 269.23/269.66 domain( X ), X ) ) ==> multiplication( domain( X ), X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := domain( X )
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (164381) {G2,W17,D4,L3,V1,M3} { addition( X, multiplication( zero
% 269.23/269.66 , X ) ) ==> multiplication( zero, X ), ! leq( domain( X ), zero ), ! leq
% 269.23/269.66 ( domain( X ), zero ) }.
% 269.23/269.66 parent0[0]: (163193) {G1,W6,D2,L2,V1,M2} { X = zero, ! leq( X, zero ) }.
% 269.23/269.66 parent1[0; 4]: (164378) {G1,W14,D5,L2,V1,M2} { addition( X, multiplication
% 269.23/269.66 ( domain( X ), X ) ) ==> multiplication( zero, X ), ! leq( domain( X ),
% 269.23/269.66 zero ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := domain( X )
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 factor: (164429) {G2,W13,D4,L2,V1,M2} { addition( X, multiplication( zero
% 269.23/269.66 , X ) ) ==> multiplication( zero, X ), ! leq( domain( X ), zero ) }.
% 269.23/269.66 parent0[1, 2]: (164381) {G2,W17,D4,L3,V1,M3} { addition( X, multiplication
% 269.23/269.66 ( zero, X ) ) ==> multiplication( zero, X ), ! leq( domain( X ), zero ),
% 269.23/269.66 ! leq( domain( X ), zero ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166804) {G1,W11,D4,L2,V1,M2} { addition( X, multiplication( zero
% 269.23/269.66 , X ) ) ==> zero, ! leq( domain( X ), zero ) }.
% 269.23/269.66 parent0[0]: (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==> zero
% 269.23/269.66 }.
% 269.23/269.66 parent1[0; 6]: (164429) {G2,W13,D4,L2,V1,M2} { addition( X, multiplication
% 269.23/269.66 ( zero, X ) ) ==> multiplication( zero, X ), ! leq( domain( X ), zero )
% 269.23/269.66 }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166805) {G1,W9,D3,L2,V1,M2} { addition( X, zero ) ==> zero, !
% 269.23/269.66 leq( domain( X ), zero ) }.
% 269.23/269.66 parent0[0]: (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==> zero
% 269.23/269.66 }.
% 269.23/269.66 parent1[0; 3]: (166804) {G1,W11,D4,L2,V1,M2} { addition( X, multiplication
% 269.23/269.66 ( zero, X ) ) ==> zero, ! leq( domain( X ), zero ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166806) {G1,W7,D3,L2,V1,M2} { X ==> zero, ! leq( domain( X ),
% 269.23/269.66 zero ) }.
% 269.23/269.66 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 269.23/269.66 parent1[0; 1]: (166805) {G1,W9,D3,L2,V1,M2} { addition( X, zero ) ==> zero
% 269.23/269.66 , ! leq( domain( X ), zero ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (127) {G2,W7,D3,L2,V1,M2} P(70,13);d(10);d(2) { ! leq( domain
% 269.23/269.66 ( X ), zero ), X = zero }.
% 269.23/269.66 parent0: (166806) {G1,W7,D3,L2,V1,M2} { X ==> zero, ! leq( domain( X ),
% 269.23/269.66 zero ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 1
% 269.23/269.66 1 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (166809) {G1,W10,D5,L1,V2,M1} { addition( X, one ) ==> addition(
% 269.23/269.66 addition( X, domain( Y ) ), one ) }.
% 269.23/269.66 parent0[0]: (23) {G1,W10,D5,L1,V2,M1} P(15,1) { addition( addition( Y,
% 269.23/269.66 domain( X ) ), one ) ==> addition( Y, one ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166811) {G2,W8,D4,L1,V1,M1} { addition( antidomain( X ), one )
% 269.23/269.66 ==> addition( one, one ) }.
% 269.23/269.66 parent0[0]: (30) {G1,W7,D4,L1,V1,M1} P(18,0) { addition( antidomain( X ),
% 269.23/269.66 domain( X ) ) ==> one }.
% 269.23/269.66 parent1[0; 6]: (166809) {G1,W10,D5,L1,V2,M1} { addition( X, one ) ==>
% 269.23/269.66 addition( addition( X, domain( Y ) ), one ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := antidomain( X )
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166812) {G1,W6,D4,L1,V1,M1} { addition( antidomain( X ), one )
% 269.23/269.66 ==> one }.
% 269.23/269.66 parent0[0]: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 269.23/269.66 parent1[0; 5]: (166811) {G2,W8,D4,L1,V1,M1} { addition( antidomain( X ),
% 269.23/269.66 one ) ==> addition( one, one ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := one
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (183) {G2,W6,D4,L1,V1,M1} P(30,23);d(3) { addition( antidomain
% 269.23/269.66 ( X ), one ) ==> one }.
% 269.23/269.66 parent0: (166812) {G1,W6,D4,L1,V1,M1} { addition( antidomain( X ), one )
% 269.23/269.66 ==> one }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (166814) {G1,W9,D4,L1,V2,M1} { addition( X, Y ) ==> addition(
% 269.23/269.66 addition( X, Y ), Y ) }.
% 269.23/269.66 parent0[0]: (25) {G1,W9,D4,L1,V2,M1} P(3,1) { addition( addition( Y, X ), X
% 269.23/269.66 ) ==> addition( Y, X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (166815) {G1,W8,D3,L2,V2,M2} { ! X ==> addition( X, Y ), leq( Y, X
% 269.23/269.66 ) }.
% 269.23/269.66 parent0[0]: (42) {G1,W8,D3,L2,V2,M2} P(0,12) { ! addition( Y, X ) ==> Y,
% 269.23/269.66 leq( X, Y ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 resolution: (166816) {G2,W5,D3,L1,V2,M1} { leq( Y, addition( X, Y ) ) }.
% 269.23/269.66 parent0[0]: (166815) {G1,W8,D3,L2,V2,M2} { ! X ==> addition( X, Y ), leq(
% 269.23/269.66 Y, X ) }.
% 269.23/269.66 parent1[0]: (166814) {G1,W9,D4,L1,V2,M1} { addition( X, Y ) ==> addition(
% 269.23/269.66 addition( X, Y ), Y ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := addition( X, Y )
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (211) {G2,W5,D3,L1,V2,M1} R(25,42) { leq( X, addition( Y, X )
% 269.23/269.66 ) }.
% 269.23/269.66 parent0: (166816) {G2,W5,D3,L1,V2,M1} { leq( Y, addition( X, Y ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (166817) {G1,W11,D4,L1,V3,M1} { addition( addition( Y, Z ), X ) =
% 269.23/269.66 addition( addition( X, Y ), Z ) }.
% 269.23/269.66 parent0[0]: (26) {G1,W11,D4,L1,V3,M1} P(1,0) { addition( addition( X, Y ),
% 269.23/269.66 Z ) = addition( addition( Y, Z ), X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166818) {G2,W7,D4,L1,V3,M1} { leq( X, addition( addition( X, Y )
% 269.23/269.66 , Z ) ) }.
% 269.23/269.66 parent0[0]: (166817) {G1,W11,D4,L1,V3,M1} { addition( addition( Y, Z ), X
% 269.23/269.66 ) = addition( addition( X, Y ), Z ) }.
% 269.23/269.66 parent1[0; 2]: (211) {G2,W5,D3,L1,V2,M1} R(25,42) { leq( X, addition( Y, X
% 269.23/269.66 ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := addition( Y, Z )
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166819) {G2,W7,D4,L1,V3,M1} { leq( X, addition( addition( Z, X )
% 269.23/269.66 , Y ) ) }.
% 269.23/269.66 parent0[0]: (166817) {G1,W11,D4,L1,V3,M1} { addition( addition( Y, Z ), X
% 269.23/269.66 ) = addition( addition( X, Y ), Z ) }.
% 269.23/269.66 parent1[0; 2]: (166818) {G2,W7,D4,L1,V3,M1} { leq( X, addition( addition(
% 269.23/269.66 X, Y ), Z ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Z
% 269.23/269.66 Y := X
% 269.23/269.66 Z := Y
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (244) {G3,W7,D4,L1,V3,M1} P(26,211) { leq( Z, addition(
% 269.23/269.66 addition( Y, Z ), X ) ) }.
% 269.23/269.66 parent0: (166819) {G2,W7,D4,L1,V3,M1} { leq( X, addition( addition( Z, X )
% 269.23/269.66 , Y ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Z
% 269.23/269.66 Y := X
% 269.23/269.66 Z := Y
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (166822) {G1,W14,D4,L2,V3,M2} { ! addition( Y, Z ) ==> addition(
% 269.23/269.66 addition( X, Y ), Z ), leq( X, addition( Y, Z ) ) }.
% 269.23/269.66 parent0[0]: (40) {G1,W14,D4,L2,V3,M2} P(1,12) { ! addition( addition( X, Y
% 269.23/269.66 ), Z ) ==> addition( Y, Z ), leq( X, addition( Y, Z ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166825) {G1,W15,D3,L3,V3,M3} { ! addition( X, Y ) ==> addition(
% 269.23/269.66 X, Y ), ! leq( Z, X ), leq( Z, addition( X, Y ) ) }.
% 269.23/269.66 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 269.23/269.66 ==> Y }.
% 269.23/269.66 parent1[0; 6]: (166822) {G1,W14,D4,L2,V3,M2} { ! addition( Y, Z ) ==>
% 269.23/269.66 addition( addition( X, Y ), Z ), leq( X, addition( Y, Z ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Z
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := Z
% 269.23/269.66 Y := X
% 269.23/269.66 Z := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqrefl: (166874) {G0,W8,D3,L2,V3,M2} { ! leq( Z, X ), leq( Z, addition( X
% 269.23/269.66 , Y ) ) }.
% 269.23/269.66 parent0[0]: (166825) {G1,W15,D3,L3,V3,M3} { ! addition( X, Y ) ==>
% 269.23/269.66 addition( X, Y ), ! leq( Z, X ), leq( Z, addition( X, Y ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (422) {G2,W8,D3,L2,V3,M2} P(11,40);q { leq( X, addition( Y, Z
% 269.23/269.66 ) ), ! leq( X, Y ) }.
% 269.23/269.66 parent0: (166874) {G0,W8,D3,L2,V3,M2} { ! leq( Z, X ), leq( Z, addition( X
% 269.23/269.66 , Y ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := Z
% 269.23/269.66 Z := X
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 1
% 269.23/269.66 1 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (166876) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Z ) ==>
% 269.23/269.66 multiplication( X, addition( Y, Z ) ), leq( multiplication( X, Y ),
% 269.23/269.66 multiplication( X, Z ) ) }.
% 269.23/269.66 parent0[0]: (43) {G1,W16,D4,L2,V3,M2} P(7,12) { ! multiplication( X,
% 269.23/269.66 addition( Y, Z ) ) ==> multiplication( X, Z ), leq( multiplication( X, Y
% 269.23/269.66 ), multiplication( X, Z ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166878) {G2,W15,D4,L2,V2,M2} { ! multiplication( X, one ) ==>
% 269.23/269.66 multiplication( X, one ), leq( multiplication( X, antidomain( Y ) ),
% 269.23/269.66 multiplication( X, one ) ) }.
% 269.23/269.66 parent0[0]: (183) {G2,W6,D4,L1,V1,M1} P(30,23);d(3) { addition( antidomain
% 269.23/269.66 ( X ), one ) ==> one }.
% 269.23/269.66 parent1[0; 7]: (166876) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Z )
% 269.23/269.66 ==> multiplication( X, addition( Y, Z ) ), leq( multiplication( X, Y ),
% 269.23/269.66 multiplication( X, Z ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := antidomain( Y )
% 269.23/269.66 Z := one
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqrefl: (166879) {G0,W8,D4,L1,V2,M1} { leq( multiplication( X, antidomain
% 269.23/269.66 ( Y ) ), multiplication( X, one ) ) }.
% 269.23/269.66 parent0[0]: (166878) {G2,W15,D4,L2,V2,M2} { ! multiplication( X, one ) ==>
% 269.23/269.66 multiplication( X, one ), leq( multiplication( X, antidomain( Y ) ),
% 269.23/269.66 multiplication( X, one ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166880) {G1,W6,D4,L1,V2,M1} { leq( multiplication( X, antidomain
% 269.23/269.66 ( Y ) ), X ) }.
% 269.23/269.66 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 269.23/269.66 parent1[0; 5]: (166879) {G0,W8,D4,L1,V2,M1} { leq( multiplication( X,
% 269.23/269.66 antidomain( Y ) ), multiplication( X, one ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (438) {G3,W6,D4,L1,V2,M1} P(183,43);q;d(5) { leq(
% 269.23/269.66 multiplication( Y, antidomain( X ) ), Y ) }.
% 269.23/269.66 parent0: (166880) {G1,W6,D4,L1,V2,M1} { leq( multiplication( X, antidomain
% 269.23/269.66 ( Y ) ), X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (166882) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Z ) ==>
% 269.23/269.66 multiplication( X, addition( Y, Z ) ), leq( multiplication( X, Y ),
% 269.23/269.66 multiplication( X, Z ) ) }.
% 269.23/269.66 parent0[0]: (43) {G1,W16,D4,L2,V3,M2} P(7,12) { ! multiplication( X,
% 269.23/269.66 addition( Y, Z ) ) ==> multiplication( X, Z ), leq( multiplication( X, Y
% 269.23/269.66 ), multiplication( X, Z ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166884) {G1,W15,D4,L2,V2,M2} { ! multiplication( X, one ) ==>
% 269.23/269.66 multiplication( X, one ), leq( multiplication( X, domain( Y ) ),
% 269.23/269.66 multiplication( X, one ) ) }.
% 269.23/269.66 parent0[0]: (15) {G0,W6,D4,L1,V1,M1} I { addition( domain( X ), one ) ==>
% 269.23/269.66 one }.
% 269.23/269.66 parent1[0; 7]: (166882) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Z )
% 269.23/269.66 ==> multiplication( X, addition( Y, Z ) ), leq( multiplication( X, Y ),
% 269.23/269.66 multiplication( X, Z ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := domain( Y )
% 269.23/269.66 Z := one
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqrefl: (166885) {G0,W8,D4,L1,V2,M1} { leq( multiplication( X, domain( Y )
% 269.23/269.66 ), multiplication( X, one ) ) }.
% 269.23/269.66 parent0[0]: (166884) {G1,W15,D4,L2,V2,M2} { ! multiplication( X, one ) ==>
% 269.23/269.66 multiplication( X, one ), leq( multiplication( X, domain( Y ) ),
% 269.23/269.66 multiplication( X, one ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166886) {G1,W6,D4,L1,V2,M1} { leq( multiplication( X, domain( Y
% 269.23/269.66 ) ), X ) }.
% 269.23/269.66 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 269.23/269.66 parent1[0; 5]: (166885) {G0,W8,D4,L1,V2,M1} { leq( multiplication( X,
% 269.23/269.66 domain( Y ) ), multiplication( X, one ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (445) {G2,W6,D4,L1,V2,M1} P(15,43);q;d(5) { leq(
% 269.23/269.66 multiplication( Y, domain( X ) ), Y ) }.
% 269.23/269.66 parent0: (166886) {G1,W6,D4,L1,V2,M1} { leq( multiplication( X, domain( Y
% 269.23/269.66 ) ), X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (166888) {G1,W11,D4,L1,V2,M1} { multiplication( X, addition( one,
% 269.23/269.66 Y ) ) = addition( X, multiplication( X, Y ) ) }.
% 269.23/269.66 parent0[0]: (50) {G1,W11,D4,L1,V2,M1} P(5,7) { addition( X, multiplication
% 269.23/269.66 ( X, Y ) ) = multiplication( X, addition( one, Y ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166890) {G2,W10,D5,L1,V2,M1} { multiplication( X, one ) =
% 269.23/269.66 addition( X, multiplication( X, domain( Y ) ) ) }.
% 269.23/269.66 parent0[0]: (22) {G1,W6,D4,L1,V1,M1} P(15,0) { addition( one, domain( X ) )
% 269.23/269.66 ==> one }.
% 269.23/269.66 parent1[0; 3]: (166888) {G1,W11,D4,L1,V2,M1} { multiplication( X, addition
% 269.23/269.66 ( one, Y ) ) = addition( X, multiplication( X, Y ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := domain( Y )
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (166891) {G1,W8,D5,L1,V2,M1} { X = addition( X, multiplication( X
% 269.23/269.66 , domain( Y ) ) ) }.
% 269.23/269.66 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 269.23/269.66 parent1[0; 1]: (166890) {G2,W10,D5,L1,V2,M1} { multiplication( X, one ) =
% 269.23/269.66 addition( X, multiplication( X, domain( Y ) ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (166892) {G1,W8,D5,L1,V2,M1} { addition( X, multiplication( X,
% 269.23/269.66 domain( Y ) ) ) = X }.
% 269.23/269.66 parent0[0]: (166891) {G1,W8,D5,L1,V2,M1} { X = addition( X, multiplication
% 269.23/269.66 ( X, domain( Y ) ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (587) {G2,W8,D5,L1,V2,M1} P(22,50);d(5) { addition( Y,
% 269.23/269.66 multiplication( Y, domain( X ) ) ) ==> Y }.
% 269.23/269.66 parent0: (166892) {G1,W8,D5,L1,V2,M1} { addition( X, multiplication( X,
% 269.23/269.66 domain( Y ) ) ) = X }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (166894) {G2,W7,D3,L2,V1,M2} { zero = X, ! leq( domain( X ), zero
% 269.23/269.66 ) }.
% 269.23/269.66 parent0[1]: (127) {G2,W7,D3,L2,V1,M2} P(70,13);d(10);d(2) { ! leq( domain(
% 269.23/269.66 X ), zero ), X = zero }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167351) {G1,W12,D4,L2,V2,M2} { ! leq( domain( multiplication( X
% 269.23/269.66 , Y ) ), zero ), zero = multiplication( X, domain( Y ) ) }.
% 269.23/269.66 parent0[0]: (14) {G0,W10,D5,L1,V2,M1} I { domain( multiplication( X, domain
% 269.23/269.66 ( Y ) ) ) ==> domain( multiplication( X, Y ) ) }.
% 269.23/269.66 parent1[1; 2]: (166894) {G2,W7,D3,L2,V1,M2} { zero = X, ! leq( domain( X )
% 269.23/269.66 , zero ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := multiplication( X, domain( Y ) )
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (167352) {G1,W12,D4,L2,V2,M2} { multiplication( X, domain( Y ) ) =
% 269.23/269.66 zero, ! leq( domain( multiplication( X, Y ) ), zero ) }.
% 269.23/269.66 parent0[1]: (167351) {G1,W12,D4,L2,V2,M2} { ! leq( domain( multiplication
% 269.23/269.66 ( X, Y ) ), zero ), zero = multiplication( X, domain( Y ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (649) {G3,W12,D4,L2,V2,M2} P(14,127) { ! leq( domain(
% 269.23/269.66 multiplication( X, Y ) ), zero ), multiplication( X, domain( Y ) ) ==>
% 269.23/269.66 zero }.
% 269.23/269.66 parent0: (167352) {G1,W12,D4,L2,V2,M2} { multiplication( X, domain( Y ) )
% 269.23/269.66 = zero, ! leq( domain( multiplication( X, Y ) ), zero ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 1
% 269.23/269.66 1 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (167353) {G1,W11,D4,L1,V2,M1} { multiplication( addition( one, Y )
% 269.23/269.66 , X ) = addition( X, multiplication( Y, X ) ) }.
% 269.23/269.66 parent0[0]: (58) {G1,W11,D4,L1,V2,M1} P(6,8) { addition( X, multiplication
% 269.23/269.66 ( Y, X ) ) = multiplication( addition( one, Y ), X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167358) {G1,W11,D5,L1,V1,M1} { multiplication( addition( one,
% 269.23/269.66 domain( X ) ), X ) = multiplication( domain( X ), X ) }.
% 269.23/269.66 parent0[0]: (13) {G0,W11,D5,L1,V1,M1} I { addition( X, multiplication(
% 269.23/269.66 domain( X ), X ) ) ==> multiplication( domain( X ), X ) }.
% 269.23/269.66 parent1[0; 7]: (167353) {G1,W11,D4,L1,V2,M1} { multiplication( addition(
% 269.23/269.66 one, Y ), X ) = addition( X, multiplication( Y, X ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := domain( X )
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167359) {G2,W8,D4,L1,V1,M1} { multiplication( one, X ) =
% 269.23/269.66 multiplication( domain( X ), X ) }.
% 269.23/269.66 parent0[0]: (22) {G1,W6,D4,L1,V1,M1} P(15,0) { addition( one, domain( X ) )
% 269.23/269.66 ==> one }.
% 269.23/269.66 parent1[0; 2]: (167358) {G1,W11,D5,L1,V1,M1} { multiplication( addition(
% 269.23/269.66 one, domain( X ) ), X ) = multiplication( domain( X ), X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167360) {G1,W6,D4,L1,V1,M1} { X = multiplication( domain( X ), X
% 269.23/269.66 ) }.
% 269.23/269.66 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 269.23/269.66 parent1[0; 1]: (167359) {G2,W8,D4,L1,V1,M1} { multiplication( one, X ) =
% 269.23/269.66 multiplication( domain( X ), X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (167361) {G1,W6,D4,L1,V1,M1} { multiplication( domain( X ), X ) =
% 269.23/269.66 X }.
% 269.23/269.66 parent0[0]: (167360) {G1,W6,D4,L1,V1,M1} { X = multiplication( domain( X )
% 269.23/269.66 , X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (1074) {G2,W6,D4,L1,V1,M1} P(58,13);d(22);d(6) {
% 269.23/269.66 multiplication( domain( X ), X ) ==> X }.
% 269.23/269.66 parent0: (167361) {G1,W6,D4,L1,V1,M1} { multiplication( domain( X ), X ) =
% 269.23/269.66 X }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167363) {G3,W6,D4,L1,V1,M1} { leq( antidomain( X ), domain(
% 269.23/269.66 antidomain( X ) ) ) }.
% 269.23/269.66 parent0[0]: (1074) {G2,W6,D4,L1,V1,M1} P(58,13);d(22);d(6) { multiplication
% 269.23/269.66 ( domain( X ), X ) ==> X }.
% 269.23/269.66 parent1[0; 1]: (438) {G3,W6,D4,L1,V2,M1} P(183,43);q;d(5) { leq(
% 269.23/269.66 multiplication( Y, antidomain( X ) ), Y ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := antidomain( X )
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := domain( antidomain( X ) )
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (1090) {G4,W6,D4,L1,V1,M1} P(1074,438) { leq( antidomain( X )
% 269.23/269.66 , domain( antidomain( X ) ) ) }.
% 269.23/269.66 parent0: (167363) {G3,W6,D4,L1,V1,M1} { leq( antidomain( X ), domain(
% 269.23/269.66 antidomain( X ) ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (167365) {G1,W16,D4,L2,V3,M2} { multiplication( Y, Z ) ==>
% 269.23/269.66 multiplication( addition( X, Y ), Z ), ! leq( multiplication( X, Z ),
% 269.23/269.66 multiplication( Y, Z ) ) }.
% 269.23/269.66 parent0[0]: (62) {G1,W16,D4,L2,V3,M2} P(11,8) { multiplication( addition( X
% 269.23/269.66 , Z ), Y ) ==> multiplication( Z, Y ), ! leq( multiplication( X, Y ),
% 269.23/269.66 multiplication( Z, Y ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Z
% 269.23/269.66 Z := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167367) {G1,W17,D4,L2,V2,M2} { multiplication( antidomain( X ),
% 269.23/269.66 Y ) ==> multiplication( one, Y ), ! leq( multiplication( domain( X ), Y )
% 269.23/269.66 , multiplication( antidomain( X ), Y ) ) }.
% 269.23/269.66 parent0[0]: (18) {G0,W7,D4,L1,V1,M1} I { addition( domain( X ), antidomain
% 269.23/269.66 ( X ) ) ==> one }.
% 269.23/269.66 parent1[0; 6]: (167365) {G1,W16,D4,L2,V3,M2} { multiplication( Y, Z ) ==>
% 269.23/269.66 multiplication( addition( X, Y ), Z ), ! leq( multiplication( X, Z ),
% 269.23/269.66 multiplication( Y, Z ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := domain( X )
% 269.23/269.66 Y := antidomain( X )
% 269.23/269.66 Z := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167368) {G1,W15,D4,L2,V2,M2} { multiplication( antidomain( X ),
% 269.23/269.66 Y ) ==> Y, ! leq( multiplication( domain( X ), Y ), multiplication(
% 269.23/269.66 antidomain( X ), Y ) ) }.
% 269.23/269.66 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 269.23/269.66 parent1[0; 5]: (167367) {G1,W17,D4,L2,V2,M2} { multiplication( antidomain
% 269.23/269.66 ( X ), Y ) ==> multiplication( one, Y ), ! leq( multiplication( domain( X
% 269.23/269.66 ), Y ), multiplication( antidomain( X ), Y ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (1259) {G2,W15,D4,L2,V2,M2} P(18,62);d(6) { ! leq(
% 269.23/269.66 multiplication( domain( X ), Y ), multiplication( antidomain( X ), Y ) )
% 269.23/269.66 , multiplication( antidomain( X ), Y ) ==> Y }.
% 269.23/269.66 parent0: (167368) {G1,W15,D4,L2,V2,M2} { multiplication( antidomain( X ),
% 269.23/269.66 Y ) ==> Y, ! leq( multiplication( domain( X ), Y ), multiplication(
% 269.23/269.66 antidomain( X ), Y ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 1
% 269.23/269.66 1 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167371) {G2,W8,D3,L2,V3,M2} { leq( X, addition( Y, Z ) ), ! leq
% 269.23/269.66 ( X, Z ) }.
% 269.23/269.66 parent0[0]: (69) {G1,W12,D4,L2,V3,M2} P(11,1) { addition( addition( Z, X )
% 269.23/269.66 , Y ) ==> addition( Z, Y ), ! leq( X, Y ) }.
% 269.23/269.66 parent1[0; 2]: (244) {G3,W7,D4,L1,V3,M1} P(26,211) { leq( Z, addition(
% 269.23/269.66 addition( Y, Z ), X ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Z
% 269.23/269.66 Z := Y
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := Z
% 269.23/269.66 Y := Y
% 269.23/269.66 Z := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (1591) {G4,W8,D3,L2,V3,M2} P(69,244) { leq( Y, addition( X, Z
% 269.23/269.66 ) ), ! leq( Y, Z ) }.
% 269.23/269.66 parent0: (167371) {G2,W8,D3,L2,V3,M2} { leq( X, addition( Y, Z ) ), ! leq
% 269.23/269.66 ( X, Z ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 1 ==> 1
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 eqswap: (167374) {G1,W8,D3,L2,V2,M2} { X ==> addition( X, Y ), ! leq( Y, X
% 269.23/269.66 ) }.
% 269.23/269.66 parent0[0]: (71) {G1,W8,D3,L2,V2,M2} P(11,0) { addition( Y, X ) ==> Y, !
% 269.23/269.66 leq( X, Y ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167376) {G1,W9,D2,L3,V2,M3} { X ==> Y, ! leq( X, Y ), ! leq( Y,
% 269.23/269.66 X ) }.
% 269.23/269.66 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 269.23/269.66 ==> Y }.
% 269.23/269.66 parent1[0; 2]: (167374) {G1,W8,D3,L2,V2,M2} { X ==> addition( X, Y ), !
% 269.23/269.66 leq( Y, X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (1659) {G2,W9,D2,L3,V2,M3} P(71,11) { ! leq( X, Y ), X = Y, !
% 269.23/269.66 leq( Y, X ) }.
% 269.23/269.66 parent0: (167376) {G1,W9,D2,L3,V2,M3} { X ==> Y, ! leq( X, Y ), ! leq( Y,
% 269.23/269.66 X ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 1
% 269.23/269.66 1 ==> 0
% 269.23/269.66 2 ==> 2
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 resolution: (167378) {G3,W8,D4,L1,V3,M1} { leq( multiplication( X, domain
% 269.23/269.66 ( Y ) ), addition( X, Z ) ) }.
% 269.23/269.66 parent0[1]: (422) {G2,W8,D3,L2,V3,M2} P(11,40);q { leq( X, addition( Y, Z )
% 269.23/269.66 ), ! leq( X, Y ) }.
% 269.23/269.66 parent1[0]: (445) {G2,W6,D4,L1,V2,M1} P(15,43);q;d(5) { leq( multiplication
% 269.23/269.66 ( Y, domain( X ) ), Y ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := multiplication( X, domain( Y ) )
% 269.23/269.66 Y := X
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (1940) {G3,W8,D4,L1,V3,M1} R(422,445) { leq( multiplication( X
% 269.23/269.66 , domain( Y ) ), addition( X, Z ) ) }.
% 269.23/269.66 parent0: (167378) {G3,W8,D4,L1,V3,M1} { leq( multiplication( X, domain( Y
% 269.23/269.66 ) ), addition( X, Z ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167380) {G1,W9,D4,L2,V3,M2} { leq( multiplication( X, domain( Y
% 269.23/269.66 ) ), Z ), ! leq( X, Z ) }.
% 269.23/269.66 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 269.23/269.66 ==> Y }.
% 269.23/269.66 parent1[0; 5]: (1940) {G3,W8,D4,L1,V3,M1} R(422,445) { leq( multiplication
% 269.23/269.66 ( X, domain( Y ) ), addition( X, Z ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Z
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Y
% 269.23/269.66 Z := Z
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (6074) {G4,W9,D4,L2,V3,M2} P(11,1940) { leq( multiplication( X
% 269.23/269.66 , domain( Z ) ), Y ), ! leq( X, Y ) }.
% 269.23/269.66 parent0: (167380) {G1,W9,D4,L2,V3,M2} { leq( multiplication( X, domain( Y
% 269.23/269.66 ) ), Z ), ! leq( X, Z ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := X
% 269.23/269.66 Y := Z
% 269.23/269.66 Z := Y
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 1 ==> 1
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 paramod: (167382) {G3,W9,D4,L2,V3,M2} { leq( X, Y ), ! leq( X,
% 269.23/269.66 multiplication( Y, domain( Z ) ) ) }.
% 269.23/269.66 parent0[0]: (587) {G2,W8,D5,L1,V2,M1} P(22,50);d(5) { addition( Y,
% 269.23/269.66 multiplication( Y, domain( X ) ) ) ==> Y }.
% 269.23/269.66 parent1[0; 2]: (1591) {G4,W8,D3,L2,V3,M2} P(69,244) { leq( Y, addition( X,
% 269.23/269.66 Z ) ), ! leq( Y, Z ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Z
% 269.23/269.66 Y := Y
% 269.23/269.66 end
% 269.23/269.66 substitution1:
% 269.23/269.66 X := Y
% 269.23/269.66 Y := X
% 269.23/269.66 Z := multiplication( Y, domain( Z ) )
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 subsumption: (10143) {G5,W9,D4,L2,V3,M2} P(587,1591) { leq( Z, X ), ! leq(
% 269.23/269.66 Z, multiplication( X, domain( Y ) ) ) }.
% 269.23/269.66 parent0: (167382) {G3,W9,D4,L2,V3,M2} { leq( X, Y ), ! leq( X,
% 269.23/269.66 multiplication( Y, domain( Z ) ) ) }.
% 269.23/269.66 substitution0:
% 269.23/269.66 X := Z
% 269.23/269.66 Y := X
% 269.23/269.66 Z := Y
% 269.23/269.66 end
% 269.23/269.66 permutation0:
% 269.23/269.66 0 ==> 0
% 269.23/269.66 1 ==> 1
% 269.23/269.66 end
% 269.23/269.66
% 269.23/269.66 resolution: (167384) {G3,W12,D4,L2,V1,M2} { ! leq( domain( antidomain( X )
% 269.23/269.66 ), antidomain( X ) ), domain( antidomain( X ) ) = antidomain( X ) }.
% 269.23/269.66 parent0[2]: (1659) {G2,W9,D2,L3,V2,M3} P(71,11) { ! leq(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------