TSTP Solution File: KLE082+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KLE082+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 01:37:04 EDT 2022
% Result : Theorem 253.79s 254.20s
% Output : Refutation 253.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE082+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.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 15:27:01 EDT 2022
% 0.13/0.33 % CPUTime :
% 22.86/23.27 *** allocated 10000 integers for termspace/termends
% 22.86/23.27 *** allocated 10000 integers for clauses
% 22.86/23.27 *** allocated 10000 integers for justifications
% 22.86/23.27 Bliksem 1.12
% 22.86/23.27
% 22.86/23.27
% 22.86/23.27 Automatic Strategy Selection
% 22.86/23.27
% 22.86/23.27
% 22.86/23.27 Clauses:
% 22.86/23.27
% 22.86/23.27 { addition( X, Y ) = addition( Y, X ) }.
% 22.86/23.27 { addition( Z, addition( Y, X ) ) = addition( addition( Z, Y ), X ) }.
% 22.86/23.27 { addition( X, zero ) = X }.
% 22.86/23.27 { addition( X, X ) = X }.
% 22.86/23.27 { multiplication( X, multiplication( Y, Z ) ) = multiplication(
% 22.86/23.27 multiplication( X, Y ), Z ) }.
% 22.86/23.27 { multiplication( X, one ) = X }.
% 22.86/23.27 { multiplication( one, X ) = X }.
% 22.86/23.27 { multiplication( X, addition( Y, Z ) ) = addition( multiplication( X, Y )
% 22.86/23.27 , multiplication( X, Z ) ) }.
% 22.86/23.27 { multiplication( addition( X, Y ), Z ) = addition( multiplication( X, Z )
% 22.86/23.27 , multiplication( Y, Z ) ) }.
% 22.86/23.27 { multiplication( X, zero ) = zero }.
% 22.86/23.27 { multiplication( zero, X ) = zero }.
% 22.86/23.27 { ! leq( X, Y ), addition( X, Y ) = Y }.
% 22.86/23.27 { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 22.86/23.27 { addition( X, multiplication( domain( X ), X ) ) = multiplication( domain
% 22.86/23.27 ( X ), X ) }.
% 22.86/23.27 { domain( multiplication( X, Y ) ) = domain( multiplication( X, domain( Y )
% 22.86/23.27 ) ) }.
% 22.86/23.27 { addition( domain( X ), one ) = one }.
% 22.86/23.27 { domain( zero ) = zero }.
% 22.86/23.27 { domain( addition( X, Y ) ) = addition( domain( X ), domain( Y ) ) }.
% 22.86/23.27 { addition( domain( X ), antidomain( X ) ) = one }.
% 22.86/23.27 { multiplication( domain( X ), antidomain( X ) ) = zero }.
% 22.86/23.27 { ! addition( antidomain( multiplication( skol1, skol2 ) ), antidomain(
% 22.86/23.27 multiplication( skol1, domain( skol2 ) ) ) ) = antidomain( multiplication
% 22.86/23.27 ( skol1, domain( skol2 ) ) ) }.
% 22.86/23.27
% 22.86/23.27 percentage equality = 0.913043, percentage horn = 1.000000
% 22.86/23.27 This is a pure equality problem
% 22.86/23.27
% 22.86/23.27
% 22.86/23.27
% 22.86/23.27 Options Used:
% 22.86/23.27
% 22.86/23.27 useres = 1
% 22.86/23.27 useparamod = 1
% 22.86/23.27 useeqrefl = 1
% 22.86/23.27 useeqfact = 1
% 22.86/23.27 usefactor = 1
% 22.86/23.27 usesimpsplitting = 0
% 22.86/23.27 usesimpdemod = 5
% 22.86/23.27 usesimpres = 3
% 22.86/23.27
% 22.86/23.27 resimpinuse = 1000
% 22.86/23.27 resimpclauses = 20000
% 22.86/23.27 substype = eqrewr
% 22.86/23.27 backwardsubs = 1
% 22.86/23.27 selectoldest = 5
% 22.86/23.27
% 22.86/23.27 litorderings [0] = split
% 22.86/23.27 litorderings [1] = extend the termordering, first sorting on arguments
% 22.86/23.27
% 22.86/23.27 termordering = kbo
% 22.86/23.27
% 22.86/23.27 litapriori = 0
% 22.86/23.27 termapriori = 1
% 22.86/23.27 litaposteriori = 0
% 22.86/23.27 termaposteriori = 0
% 22.86/23.27 demodaposteriori = 0
% 22.86/23.27 ordereqreflfact = 0
% 22.86/23.27
% 22.86/23.27 litselect = negord
% 22.86/23.27
% 22.86/23.27 maxweight = 15
% 22.86/23.27 maxdepth = 30000
% 22.86/23.27 maxlength = 115
% 22.86/23.27 maxnrvars = 195
% 22.86/23.27 excuselevel = 1
% 22.86/23.27 increasemaxweight = 1
% 22.86/23.27
% 22.86/23.27 maxselected = 10000000
% 22.86/23.27 maxnrclauses = 10000000
% 22.86/23.27
% 22.86/23.27 showgenerated = 0
% 22.86/23.27 showkept = 0
% 22.86/23.27 showselected = 0
% 22.86/23.27 showdeleted = 0
% 22.86/23.27 showresimp = 1
% 22.86/23.27 showstatus = 2000
% 22.86/23.27
% 22.86/23.27 prologoutput = 0
% 22.86/23.27 nrgoals = 5000000
% 22.86/23.27 totalproof = 1
% 22.86/23.27
% 22.86/23.27 Symbols occurring in the translation:
% 22.86/23.27
% 22.86/23.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 22.86/23.27 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 22.86/23.27 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 22.86/23.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 22.86/23.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 22.86/23.27 addition [37, 2] (w:1, o:47, a:1, s:1, b:0),
% 22.86/23.27 zero [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 22.86/23.27 multiplication [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 22.86/23.27 one [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 22.86/23.27 leq [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 22.86/23.27 domain [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 22.86/23.27 antidomain [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 22.86/23.27 skol1 [48, 0] (w:1, o:14, a:1, s:1, b:1),
% 22.86/23.27 skol2 [49, 0] (w:1, o:15, a:1, s:1, b:1).
% 22.86/23.27
% 22.86/23.27
% 22.86/23.27 Starting Search:
% 22.86/23.27
% 22.86/23.27 *** allocated 15000 integers for clauses
% 22.86/23.27 *** allocated 22500 integers for clauses
% 22.86/23.27 *** allocated 33750 integers for clauses
% 22.86/23.27 *** allocated 50625 integers for clauses
% 22.86/23.27 *** allocated 75937 integers for clauses
% 22.86/23.27 *** allocated 15000 integers for termspace/termends
% 22.86/23.27 Resimplifying inuse:
% 22.86/23.27 Done
% 22.86/23.27
% 22.86/23.27 *** allocated 113905 integers for clauses
% 22.86/23.27 *** allocated 22500 integers for termspace/termends
% 22.86/23.27 *** allocated 170857 integers for clauses
% 22.86/23.27 *** allocated 33750 integers for termspace/termends
% 22.86/23.27
% 22.86/23.27 Intermediate Status:
% 22.86/23.27 Generated: 16336
% 22.86/23.27 Kept: 2018
% 22.86/23.27 Inuse: 267
% 22.86/23.27 Deleted: 22
% 22.86/23.27 Deletedinuse: 10
% 22.86/23.27
% 22.86/23.27 Resimplifying inuse:
% 22.86/23.27 Done
% 22.86/23.27
% 22.86/23.27 *** allocated 50625 integers for termspace/termends
% 22.86/23.27 Resimplifying inuse:
% 22.86/23.27 Done
% 22.86/23.27
% 22.86/23.27 *** allocated 256285 integers for clauses
% 22.86/23.27 *** allocated 75937 integers for termspace/termends
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 34250
% 79.92/80.31 Kept: 4094
% 79.92/80.31 Inuse: 374
% 79.92/80.31 Deleted: 52
% 79.92/80.31 Deletedinuse: 20
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 *** allocated 384427 integers for clauses
% 79.92/80.31 *** allocated 113905 integers for termspace/termends
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 62671
% 79.92/80.31 Kept: 6096
% 79.92/80.31 Inuse: 528
% 79.92/80.31 Deleted: 74
% 79.92/80.31 Deletedinuse: 22
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 *** allocated 576640 integers for clauses
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 93115
% 79.92/80.31 Kept: 8274
% 79.92/80.31 Inuse: 688
% 79.92/80.31 Deleted: 100
% 79.92/80.31 Deletedinuse: 24
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 *** allocated 170857 integers for termspace/termends
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 120712
% 79.92/80.31 Kept: 10275
% 79.92/80.31 Inuse: 811
% 79.92/80.31 Deleted: 109
% 79.92/80.31 Deletedinuse: 24
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 *** allocated 864960 integers for clauses
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 149949
% 79.92/80.31 Kept: 12431
% 79.92/80.31 Inuse: 905
% 79.92/80.31 Deleted: 117
% 79.92/80.31 Deletedinuse: 26
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 *** allocated 256285 integers for termspace/termends
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 199189
% 79.92/80.31 Kept: 14913
% 79.92/80.31 Inuse: 917
% 79.92/80.31 Deleted: 117
% 79.92/80.31 Deletedinuse: 26
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 215402
% 79.92/80.31 Kept: 16925
% 79.92/80.31 Inuse: 919
% 79.92/80.31 Deleted: 118
% 79.92/80.31 Deletedinuse: 27
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 *** allocated 1297440 integers for clauses
% 79.92/80.31 *** allocated 384427 integers for termspace/termends
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 250278
% 79.92/80.31 Kept: 18991
% 79.92/80.31 Inuse: 976
% 79.92/80.31 Deleted: 119
% 79.92/80.31 Deletedinuse: 27
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying clauses:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 281779
% 79.92/80.31 Kept: 21021
% 79.92/80.31 Inuse: 1026
% 79.92/80.31 Deleted: 1450
% 79.92/80.31 Deletedinuse: 27
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 307201
% 79.92/80.31 Kept: 23026
% 79.92/80.31 Inuse: 1084
% 79.92/80.31 Deleted: 1450
% 79.92/80.31 Deletedinuse: 27
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 349199
% 79.92/80.31 Kept: 25027
% 79.92/80.31 Inuse: 1146
% 79.92/80.31 Deleted: 1450
% 79.92/80.31 Deletedinuse: 27
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 *** allocated 576640 integers for termspace/termends
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 385654
% 79.92/80.31 Kept: 27043
% 79.92/80.31 Inuse: 1212
% 79.92/80.31 Deleted: 1452
% 79.92/80.31 Deletedinuse: 28
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 *** allocated 1946160 integers for clauses
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 413533
% 79.92/80.31 Kept: 29043
% 79.92/80.31 Inuse: 1272
% 79.92/80.31 Deleted: 1457
% 79.92/80.31 Deletedinuse: 30
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 455975
% 79.92/80.31 Kept: 31190
% 79.92/80.31 Inuse: 1354
% 79.92/80.31 Deleted: 1459
% 79.92/80.31 Deletedinuse: 32
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 474567
% 79.92/80.31 Kept: 33202
% 79.92/80.31 Inuse: 1393
% 79.92/80.31 Deleted: 1459
% 79.92/80.31 Deletedinuse: 32
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 505430
% 79.92/80.31 Kept: 35215
% 79.92/80.31 Inuse: 1444
% 79.92/80.31 Deleted: 1480
% 79.92/80.31 Deletedinuse: 38
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 544694
% 79.92/80.31 Kept: 37340
% 79.92/80.31 Inuse: 1493
% 79.92/80.31 Deleted: 1480
% 79.92/80.31 Deletedinuse: 38
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 594676
% 79.92/80.31 Kept: 39340
% 79.92/80.31 Inuse: 1573
% 79.92/80.31 Deleted: 1485
% 79.92/80.31 Deletedinuse: 38
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 *** allocated 864960 integers for termspace/termends
% 79.92/80.31 Resimplifying clauses:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 645932
% 79.92/80.31 Kept: 41651
% 79.92/80.31 Inuse: 1596
% 79.92/80.31 Deleted: 3539
% 79.92/80.31 Deletedinuse: 40
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 *** allocated 2919240 integers for clauses
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 688455
% 79.92/80.31 Kept: 43806
% 79.92/80.31 Inuse: 1635
% 79.92/80.31 Deleted: 3539
% 79.92/80.31 Deletedinuse: 40
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31 Resimplifying inuse:
% 79.92/80.31 Done
% 79.92/80.31
% 79.92/80.31
% 79.92/80.31 Intermediate Status:
% 79.92/80.31 Generated: 720142
% 79.92/80.31 Kept: 45815
% 158.97/159.44 Inuse: 1674
% 158.97/159.44 Deleted: 3539
% 158.97/159.44 Deletedinuse: 40
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 729532
% 158.97/159.44 Kept: 47856
% 158.97/159.44 Inuse: 1685
% 158.97/159.44 Deleted: 3542
% 158.97/159.44 Deletedinuse: 40
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 751105
% 158.97/159.44 Kept: 50195
% 158.97/159.44 Inuse: 1700
% 158.97/159.44 Deleted: 3542
% 158.97/159.44 Deletedinuse: 40
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 793022
% 158.97/159.44 Kept: 52218
% 158.97/159.44 Inuse: 1754
% 158.97/159.44 Deleted: 3547
% 158.97/159.44 Deletedinuse: 41
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 811824
% 158.97/159.44 Kept: 54230
% 158.97/159.44 Inuse: 1787
% 158.97/159.44 Deleted: 3547
% 158.97/159.44 Deletedinuse: 41
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 852107
% 158.97/159.44 Kept: 57261
% 158.97/159.44 Inuse: 1802
% 158.97/159.44 Deleted: 3547
% 158.97/159.44 Deletedinuse: 41
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 *** allocated 1297440 integers for termspace/termends
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 888642
% 158.97/159.44 Kept: 59289
% 158.97/159.44 Inuse: 1821
% 158.97/159.44 Deleted: 3547
% 158.97/159.44 Deletedinuse: 41
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying clauses:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 922099
% 158.97/159.44 Kept: 61613
% 158.97/159.44 Inuse: 1844
% 158.97/159.44 Deleted: 5910
% 158.97/159.44 Deletedinuse: 41
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 960833
% 158.97/159.44 Kept: 63635
% 158.97/159.44 Inuse: 1847
% 158.97/159.44 Deleted: 5911
% 158.97/159.44 Deletedinuse: 42
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 992612
% 158.97/159.44 Kept: 65835
% 158.97/159.44 Inuse: 1870
% 158.97/159.44 Deleted: 5913
% 158.97/159.44 Deletedinuse: 44
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 *** allocated 4378860 integers for clauses
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 1022787
% 158.97/159.44 Kept: 67918
% 158.97/159.44 Inuse: 1885
% 158.97/159.44 Deleted: 5913
% 158.97/159.44 Deletedinuse: 44
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 1065394
% 158.97/159.44 Kept: 69940
% 158.97/159.44 Inuse: 1929
% 158.97/159.44 Deleted: 5916
% 158.97/159.44 Deletedinuse: 47
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 1130469
% 158.97/159.44 Kept: 71967
% 158.97/159.44 Inuse: 1987
% 158.97/159.44 Deleted: 5917
% 158.97/159.44 Deletedinuse: 48
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 1172310
% 158.97/159.44 Kept: 73985
% 158.97/159.44 Inuse: 2053
% 158.97/159.44 Deleted: 5917
% 158.97/159.44 Deletedinuse: 48
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 1206878
% 158.97/159.44 Kept: 75999
% 158.97/159.44 Inuse: 2099
% 158.97/159.44 Deleted: 5921
% 158.97/159.44 Deletedinuse: 48
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 1258330
% 158.97/159.44 Kept: 78042
% 158.97/159.44 Inuse: 2136
% 158.97/159.44 Deleted: 5921
% 158.97/159.44 Deletedinuse: 48
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 1291188
% 158.97/159.44 Kept: 80233
% 158.97/159.44 Inuse: 2181
% 158.97/159.44 Deleted: 5921
% 158.97/159.44 Deletedinuse: 48
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying clauses:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44 Resimplifying inuse:
% 158.97/159.44 Done
% 158.97/159.44
% 158.97/159.44
% 158.97/159.44 Intermediate Status:
% 158.97/159.44 Generated: 1378736
% 158.97/159.44 Kept: 82233
% 158.97/159.45 Inuse: 2230
% 158.97/159.45 Deleted: 7675
% 158.97/159.45 Deletedinuse: 53
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45
% 158.97/159.45 Intermediate Status:
% 158.97/159.45 Generated: 1412746
% 158.97/159.45 Kept: 84254
% 158.97/159.45 Inuse: 2277
% 158.97/159.45 Deleted: 7683
% 158.97/159.45 Deletedinuse: 61
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45
% 158.97/159.45 Intermediate Status:
% 158.97/159.45 Generated: 1446106
% 158.97/159.45 Kept: 86287
% 158.97/159.45 Inuse: 2320
% 158.97/159.45 Deleted: 7691
% 158.97/159.45 Deletedinuse: 69
% 158.97/159.45
% 158.97/159.45 *** allocated 1946160 integers for termspace/termends
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45
% 158.97/159.45 Intermediate Status:
% 158.97/159.45 Generated: 1474272
% 158.97/159.45 Kept: 88300
% 158.97/159.45 Inuse: 2359
% 158.97/159.45 Deleted: 7691
% 158.97/159.45 Deletedinuse: 69
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45
% 158.97/159.45 Intermediate Status:
% 158.97/159.45 Generated: 1526275
% 158.97/159.45 Kept: 90335
% 158.97/159.45 Inuse: 2385
% 158.97/159.45 Deleted: 7697
% 158.97/159.45 Deletedinuse: 69
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45
% 158.97/159.45 Intermediate Status:
% 158.97/159.45 Generated: 1610485
% 158.97/159.45 Kept: 92365
% 158.97/159.45 Inuse: 2421
% 158.97/159.45 Deleted: 7697
% 158.97/159.45 Deletedinuse: 69
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 158.97/159.45 Done
% 158.97/159.45
% 158.97/159.45 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 1659420
% 253.79/254.20 Kept: 94383
% 253.79/254.20 Inuse: 2481
% 253.79/254.20 Deleted: 7697
% 253.79/254.20 Deletedinuse: 69
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 1696594
% 253.79/254.20 Kept: 96394
% 253.79/254.20 Inuse: 2531
% 253.79/254.20 Deleted: 7699
% 253.79/254.20 Deletedinuse: 71
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 1727206
% 253.79/254.20 Kept: 98416
% 253.79/254.20 Inuse: 2564
% 253.79/254.20 Deleted: 7701
% 253.79/254.20 Deletedinuse: 73
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 1775736
% 253.79/254.20 Kept: 100433
% 253.79/254.20 Inuse: 2612
% 253.79/254.20 Deleted: 7701
% 253.79/254.20 Deletedinuse: 73
% 253.79/254.20
% 253.79/254.20 Resimplifying clauses:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 *** allocated 6568290 integers for clauses
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 1854277
% 253.79/254.20 Kept: 102460
% 253.79/254.20 Inuse: 2652
% 253.79/254.20 Deleted: 10327
% 253.79/254.20 Deletedinuse: 73
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 1905605
% 253.79/254.20 Kept: 104477
% 253.79/254.20 Inuse: 2684
% 253.79/254.20 Deleted: 10327
% 253.79/254.20 Deletedinuse: 73
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 1945723
% 253.79/254.20 Kept: 106502
% 253.79/254.20 Inuse: 2724
% 253.79/254.20 Deleted: 10327
% 253.79/254.20 Deletedinuse: 73
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2007586
% 253.79/254.20 Kept: 108690
% 253.79/254.20 Inuse: 2760
% 253.79/254.20 Deleted: 10327
% 253.79/254.20 Deletedinuse: 73
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2082039
% 253.79/254.20 Kept: 110711
% 253.79/254.20 Inuse: 2766
% 253.79/254.20 Deleted: 10327
% 253.79/254.20 Deletedinuse: 73
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2104354
% 253.79/254.20 Kept: 112751
% 253.79/254.20 Inuse: 2789
% 253.79/254.20 Deleted: 10328
% 253.79/254.20 Deletedinuse: 74
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2130924
% 253.79/254.20 Kept: 114779
% 253.79/254.20 Inuse: 2818
% 253.79/254.20 Deleted: 10328
% 253.79/254.20 Deletedinuse: 74
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2162711
% 253.79/254.20 Kept: 116797
% 253.79/254.20 Inuse: 2850
% 253.79/254.20 Deleted: 10328
% 253.79/254.20 Deletedinuse: 74
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2193351
% 253.79/254.20 Kept: 118816
% 253.79/254.20 Inuse: 2877
% 253.79/254.20 Deleted: 10328
% 253.79/254.20 Deletedinuse: 74
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2217733
% 253.79/254.20 Kept: 121086
% 253.79/254.20 Inuse: 2882
% 253.79/254.20 Deleted: 10328
% 253.79/254.20 Deletedinuse: 74
% 253.79/254.20
% 253.79/254.20 Resimplifying clauses:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2255079
% 253.79/254.20 Kept: 123087
% 253.79/254.20 Inuse: 2896
% 253.79/254.20 Deleted: 14006
% 253.79/254.20 Deletedinuse: 74
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2302735
% 253.79/254.20 Kept: 125132
% 253.79/254.20 Inuse: 2930
% 253.79/254.20 Deleted: 14006
% 253.79/254.20 Deletedinuse: 74
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2342066
% 253.79/254.20 Kept: 127240
% 253.79/254.20 Inuse: 2966
% 253.79/254.20 Deleted: 14006
% 253.79/254.20 Deletedinuse: 74
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 *** allocated 2919240 integers for termspace/termends
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2393186
% 253.79/254.20 Kept: 129275
% 253.79/254.20 Inuse: 2982
% 253.79/254.20 Deleted: 14008
% 253.79/254.20 Deletedinuse: 76
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2467698
% 253.79/254.20 Kept: 131306
% 253.79/254.20 Inuse: 3032
% 253.79/254.20 Deleted: 14008
% 253.79/254.20 Deletedinuse: 76
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2515386
% 253.79/254.20 Kept: 133414
% 253.79/254.20 Inuse: 3079
% 253.79/254.20 Deleted: 14008
% 253.79/254.20 Deletedinuse: 76
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2560142
% 253.79/254.20 Kept: 135445
% 253.79/254.20 Inuse: 3125
% 253.79/254.20 Deleted: 14008
% 253.79/254.20 Deletedinuse: 76
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2614419
% 253.79/254.20 Kept: 137455
% 253.79/254.20 Inuse: 3167
% 253.79/254.20 Deleted: 14008
% 253.79/254.20 Deletedinuse: 76
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2641187
% 253.79/254.20 Kept: 139699
% 253.79/254.20 Inuse: 3188
% 253.79/254.20 Deleted: 14010
% 253.79/254.20 Deletedinuse: 78
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying clauses:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2682765
% 253.79/254.20 Kept: 142410
% 253.79/254.20 Inuse: 3223
% 253.79/254.20 Deleted: 16104
% 253.79/254.20 Deletedinuse: 78
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2744839
% 253.79/254.20 Kept: 144425
% 253.79/254.20 Inuse: 3269
% 253.79/254.20 Deleted: 16104
% 253.79/254.20 Deletedinuse: 78
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2820838
% 253.79/254.20 Kept: 146433
% 253.79/254.20 Inuse: 3320
% 253.79/254.20 Deleted: 16104
% 253.79/254.20 Deletedinuse: 78
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2862589
% 253.79/254.20 Kept: 148468
% 253.79/254.20 Inuse: 3354
% 253.79/254.20 Deleted: 16104
% 253.79/254.20 Deletedinuse: 78
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2913382
% 253.79/254.20 Kept: 150491
% 253.79/254.20 Inuse: 3396
% 253.79/254.20 Deleted: 16104
% 253.79/254.20 Deletedinuse: 78
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2959881
% 253.79/254.20 Kept: 152570
% 253.79/254.20 Inuse: 3438
% 253.79/254.20 Deleted: 16104
% 253.79/254.20 Deletedinuse: 78
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 *** allocated 9852435 integers for clauses
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 2991840
% 253.79/254.20 Kept: 154668
% 253.79/254.20 Inuse: 3467
% 253.79/254.20 Deleted: 16104
% 253.79/254.20 Deletedinuse: 78
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 3006687
% 253.79/254.20 Kept: 156831
% 253.79/254.20 Inuse: 3478
% 253.79/254.20 Deleted: 16105
% 253.79/254.20 Deletedinuse: 78
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 3022013
% 253.79/254.20 Kept: 158975
% 253.79/254.20 Inuse: 3489
% 253.79/254.20 Deleted: 16105
% 253.79/254.20 Deletedinuse: 78
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 3065239
% 253.79/254.20 Kept: 161011
% 253.79/254.20 Inuse: 3523
% 253.79/254.20 Deleted: 16106
% 253.79/254.20 Deletedinuse: 79
% 253.79/254.20
% 253.79/254.20 Resimplifying clauses:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 3114743
% 253.79/254.20 Kept: 163077
% 253.79/254.20 Inuse: 3567
% 253.79/254.20 Deleted: 17297
% 253.79/254.20 Deletedinuse: 79
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 3152324
% 253.79/254.20 Kept: 165228
% 253.79/254.20 Inuse: 3601
% 253.79/254.20 Deleted: 17297
% 253.79/254.20 Deletedinuse: 79
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 3172046
% 253.79/254.20 Kept: 167231
% 253.79/254.20 Inuse: 3615
% 253.79/254.20 Deleted: 17301
% 253.79/254.20 Deletedinuse: 83
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 3216692
% 253.79/254.20 Kept: 169240
% 253.79/254.20 Inuse: 3654
% 253.79/254.20 Deleted: 17301
% 253.79/254.20 Deletedinuse: 83
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 3267393
% 253.79/254.20 Kept: 171252
% 253.79/254.20 Inuse: 3701
% 253.79/254.20 Deleted: 17307
% 253.79/254.20 Deletedinuse: 88
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20 Done
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Intermediate Status:
% 253.79/254.20 Generated: 3310721
% 253.79/254.20 Kept: 173260
% 253.79/254.20 Inuse: 3748
% 253.79/254.20 Deleted: 17310
% 253.79/254.20 Deletedinuse: 91
% 253.79/254.20
% 253.79/254.20 Resimplifying inuse:
% 253.79/254.20
% 253.79/254.20 Bliksems!, er is een bewijs:
% 253.79/254.20 % SZS status Theorem
% 253.79/254.20 % SZS output start Refutation
% 253.79/254.20
% 253.79/254.20 (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X ) }.
% 253.79/254.20 (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) ) ==> addition(
% 253.79/254.20 addition( Z, Y ), X ) }.
% 253.79/254.20 (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 253.79/254.20 (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 253.79/254.20 (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 253.79/254.20 (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 253.79/254.20 (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 253.79/254.20 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 253.79/254.20 (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 253.79/254.20 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 253.79/254.20 (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==> zero }.
% 253.79/254.20 (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y ) ==> Y }.
% 253.79/254.20 (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X, Y ) }.
% 253.79/254.20 (13) {G0,W11,D5,L1,V1,M1} I { addition( X, multiplication( domain( X ), X )
% 253.79/254.20 ) ==> multiplication( domain( X ), X ) }.
% 253.79/254.20 (14) {G0,W10,D5,L1,V2,M1} I { domain( multiplication( X, domain( Y ) ) )
% 253.79/254.20 ==> domain( multiplication( X, Y ) ) }.
% 253.79/254.20 (15) {G0,W6,D4,L1,V1,M1} I { addition( domain( X ), one ) ==> one }.
% 253.79/254.20 (16) {G0,W4,D3,L1,V0,M1} I { domain( zero ) ==> zero }.
% 253.79/254.20 (18) {G0,W7,D4,L1,V1,M1} I { addition( domain( X ), antidomain( X ) ) ==>
% 253.79/254.20 one }.
% 253.79/254.20 (19) {G0,W7,D4,L1,V1,M1} I { multiplication( domain( X ), antidomain( X ) )
% 253.79/254.20 ==> zero }.
% 253.79/254.20 (20) {G0,W16,D6,L1,V0,M1} I { ! addition( antidomain( multiplication( skol1
% 253.79/254.20 , skol2 ) ), antidomain( multiplication( skol1, domain( skol2 ) ) ) ) ==>
% 253.79/254.20 antidomain( multiplication( skol1, domain( skol2 ) ) ) }.
% 253.79/254.20 (21) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 253.79/254.20 (22) {G1,W6,D4,L1,V1,M1} P(15,0) { addition( one, domain( X ) ) ==> one }.
% 253.79/254.20 (23) {G1,W10,D5,L1,V2,M1} P(15,1) { addition( addition( Y, domain( X ) ),
% 253.79/254.20 one ) ==> addition( Y, one ) }.
% 253.79/254.20 (30) {G1,W7,D4,L1,V1,M1} P(18,0) { addition( antidomain( X ), domain( X ) )
% 253.79/254.20 ==> one }.
% 253.79/254.20 (35) {G2,W3,D2,L1,V1,M1} R(12,21) { leq( zero, X ) }.
% 253.79/254.20 (36) {G1,W3,D2,L1,V1,M1} R(12,3) { leq( X, X ) }.
% 253.79/254.20 (43) {G1,W16,D4,L2,V3,M2} P(7,12) { ! multiplication( X, addition( Y, Z ) )
% 253.79/254.20 ==> multiplication( X, Z ), leq( multiplication( X, Y ), multiplication
% 253.79/254.20 ( X, Z ) ) }.
% 253.79/254.20 (56) {G1,W16,D4,L2,V3,M2} P(11,7) { multiplication( X, addition( Y, Z ) )
% 253.79/254.20 ==> multiplication( X, Z ), ! leq( multiplication( X, Y ), multiplication
% 253.79/254.20 ( X, Z ) ) }.
% 253.79/254.20 (62) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero ) }.
% 253.79/254.20 (63) {G1,W8,D3,L2,V2,M2} P(11,0) { addition( Y, X ) ==> Y, ! leq( X, Y )
% 253.79/254.20 }.
% 253.79/254.20 (64) {G1,W16,D4,L2,V3,M2} P(8,11) { ! leq( multiplication( X, Y ),
% 253.79/254.20 multiplication( Z, Y ) ), multiplication( addition( X, Z ), Y ) ==>
% 253.79/254.20 multiplication( Z, Y ) }.
% 253.79/254.20 (66) {G2,W12,D5,L1,V2,M1} P(19,8);d(21) { multiplication( addition( domain
% 253.79/254.20 ( X ), Y ), antidomain( X ) ) ==> multiplication( Y, antidomain( X ) )
% 253.79/254.20 }.
% 253.79/254.20 (70) {G1,W11,D4,L1,V2,M1} P(6,8) { addition( X, multiplication( Y, X ) ) =
% 253.79/254.20 multiplication( addition( one, Y ), X ) }.
% 253.79/254.20 (122) {G2,W7,D3,L2,V1,M2} P(62,13);d(10);d(2) { ! leq( domain( X ), zero )
% 253.79/254.20 , X = zero }.
% 253.79/254.20 (211) {G1,W16,D6,L1,V0,M1} P(0,20) { ! addition( antidomain( multiplication
% 253.79/254.20 ( skol1, domain( skol2 ) ) ), antidomain( multiplication( skol1, skol2 )
% 253.79/254.20 ) ) ==> antidomain( multiplication( skol1, domain( skol2 ) ) ) }.
% 253.79/254.20 (225) {G2,W6,D4,L1,V1,M1} P(30,23);d(3) { addition( antidomain( X ), one )
% 253.79/254.20 ==> one }.
% 253.79/254.20 (461) {G3,W6,D4,L1,V2,M1} P(225,43);q;d(5) { leq( multiplication( Y,
% 253.79/254.20 antidomain( X ) ), Y ) }.
% 253.79/254.20 (828) {G3,W12,D4,L2,V2,M2} P(14,122) { ! leq( domain( multiplication( X, Y
% 253.79/254.20 ) ), zero ), multiplication( X, domain( Y ) ) ==> zero }.
% 253.79/254.20 (874) {G2,W15,D4,L2,V2,M2} P(30,56);d(5) { ! leq( multiplication( Y,
% 253.79/254.20 antidomain( X ) ), multiplication( Y, domain( X ) ) ), multiplication( Y
% 253.79/254.20 , domain( X ) ) ==> Y }.
% 253.79/254.20 (875) {G2,W15,D4,L2,V2,M2} P(18,56);d(5) { ! leq( multiplication( Y, domain
% 253.79/254.20 ( X ) ), multiplication( Y, antidomain( X ) ) ), multiplication( Y,
% 253.79/254.20 antidomain( X ) ) ==> Y }.
% 253.79/254.20 (1283) {G2,W15,D4,L2,V2,M2} P(30,64);d(6) { ! leq( multiplication(
% 253.79/254.20 antidomain( X ), Y ), multiplication( domain( X ), Y ) ), multiplication
% 253.79/254.20 ( domain( X ), Y ) ==> Y }.
% 253.79/254.20 (1284) {G2,W15,D4,L2,V2,M2} P(18,64);d(6) { ! leq( multiplication( domain(
% 253.79/254.20 X ), Y ), multiplication( antidomain( X ), Y ) ), multiplication(
% 253.79/254.20 antidomain( X ), Y ) ==> Y }.
% 253.79/254.20 (1347) {G3,W10,D4,L2,V2,M2} P(63,66);d(19) { ! leq( Y, domain( X ) ),
% 253.79/254.20 multiplication( Y, antidomain( X ) ) ==> zero }.
% 253.79/254.20 (1551) {G2,W6,D4,L1,V1,M1} P(70,13);d(22);d(6) { multiplication( domain( X
% 253.79/254.20 ), X ) ==> X }.
% 253.79/254.20 (1568) {G4,W6,D4,L1,V1,M1} P(1551,461) { leq( antidomain( X ), domain(
% 253.79/254.20 antidomain( X ) ) ) }.
% 253.79/254.20 (79735) {G4,W8,D5,L1,V1,M1} P(19,828);d(16);r(36) { multiplication( domain
% 253.79/254.20 ( X ), domain( antidomain( X ) ) ) ==> zero }.
% 253.79/254.20 (86771) {G5,W9,D5,L1,V1,M1} P(79735,875);r(35) { multiplication( domain( X
% 253.79/254.20 ), antidomain( antidomain( X ) ) ) ==> domain( X ) }.
% 253.79/254.20 (161885) {G5,W10,D5,L1,V1,M1} P(79735,1284);r(35) { multiplication(
% 253.79/254.20 antidomain( X ), domain( antidomain( X ) ) ) ==> domain( antidomain( X )
% 253.79/254.20 ) }.
% 253.79/254.20 (173481) {G5,W8,D5,L1,V1,M1} R(1347,1568) { multiplication( antidomain( X )
% 253.79/254.20 , antidomain( antidomain( X ) ) ) ==> zero }.
% 253.79/254.20 (173556) {G6,W6,D4,L1,V1,M1} P(173481,1283);d(86771);d(86771);r(35) {
% 253.79/254.20 antidomain( antidomain( X ) ) ==> domain( X ) }.
% 253.79/254.20 (173559) {G6,W6,D4,L1,V1,M1} P(173481,874);d(161885);d(161885);r(35) {
% 253.79/254.20 domain( antidomain( X ) ) ==> antidomain( X ) }.
% 253.79/254.20 (173578) {G7,W6,D4,L1,V1,M1} P(173556,173556);d(173559) { antidomain(
% 253.79/254.20 domain( X ) ) ==> antidomain( X ) }.
% 253.79/254.20 (173697) {G8,W10,D5,L1,V2,M1} P(14,173578);d(173578) { antidomain(
% 253.79/254.20 multiplication( X, domain( Y ) ) ) ==> antidomain( multiplication( X, Y )
% 253.79/254.20 ) }.
% 253.79/254.20 (174090) {G9,W0,D0,L0,V0,M0} S(211);d(173697);d(3);q { }.
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 % SZS output end Refutation
% 253.79/254.20 found a proof!
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Unprocessed initial clauses:
% 253.79/254.20
% 253.79/254.20 (174092) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X ) }.
% 253.79/254.20 (174093) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) = addition
% 253.79/254.20 ( addition( Z, Y ), X ) }.
% 253.79/254.20 (174094) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 253.79/254.20 (174095) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 253.79/254.20 (174096) {G0,W11,D4,L1,V3,M1} { multiplication( X, multiplication( Y, Z )
% 253.79/254.20 ) = multiplication( multiplication( X, Y ), Z ) }.
% 253.79/254.20 (174097) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 253.79/254.20 (174098) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 253.79/254.20 (174099) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z ) ) =
% 253.79/254.20 addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 253.79/254.20 (174100) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y ), Z ) =
% 253.79/254.20 addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 253.79/254.20 (174101) {G0,W5,D3,L1,V1,M1} { multiplication( X, zero ) = zero }.
% 253.79/254.20 (174102) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero }.
% 253.79/254.20 (174103) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) = Y }.
% 253.79/254.20 (174104) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 253.79/254.20 (174105) {G0,W11,D5,L1,V1,M1} { addition( X, multiplication( domain( X ),
% 253.79/254.20 X ) ) = multiplication( domain( X ), X ) }.
% 253.79/254.20 (174106) {G0,W10,D5,L1,V2,M1} { domain( multiplication( X, Y ) ) = domain
% 253.79/254.20 ( multiplication( X, domain( Y ) ) ) }.
% 253.79/254.20 (174107) {G0,W6,D4,L1,V1,M1} { addition( domain( X ), one ) = one }.
% 253.79/254.20 (174108) {G0,W4,D3,L1,V0,M1} { domain( zero ) = zero }.
% 253.79/254.20 (174109) {G0,W10,D4,L1,V2,M1} { domain( addition( X, Y ) ) = addition(
% 253.79/254.20 domain( X ), domain( Y ) ) }.
% 253.79/254.20 (174110) {G0,W7,D4,L1,V1,M1} { addition( domain( X ), antidomain( X ) ) =
% 253.79/254.20 one }.
% 253.79/254.20 (174111) {G0,W7,D4,L1,V1,M1} { multiplication( domain( X ), antidomain( X
% 253.79/254.20 ) ) = zero }.
% 253.79/254.20 (174112) {G0,W16,D6,L1,V0,M1} { ! addition( antidomain( multiplication(
% 253.79/254.20 skol1, skol2 ) ), antidomain( multiplication( skol1, domain( skol2 ) ) )
% 253.79/254.20 ) = antidomain( multiplication( skol1, domain( skol2 ) ) ) }.
% 253.79/254.20
% 253.79/254.20
% 253.79/254.20 Total Proof:
% 253.79/254.20
% 253.79/254.20 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X
% 253.79/254.20 ) }.
% 253.79/254.20 parent0: (174092) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X
% 253.79/254.20 ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 253.79/254.20 ==> addition( addition( Z, Y ), X ) }.
% 253.79/254.20 parent0: (174093) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) =
% 253.79/254.20 addition( addition( Z, Y ), X ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 Z := Z
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 253.79/254.20 parent0: (174094) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 253.79/254.20 parent0: (174095) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 253.79/254.20 parent0: (174097) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 253.79/254.20 parent0: (174098) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174136) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y ),
% 253.79/254.20 multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 253.79/254.20 parent0[0]: (174099) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y
% 253.79/254.20 , Z ) ) = addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 Z := Z
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y )
% 253.79/254.20 , multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 253.79/254.20 parent0: (174136) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y )
% 253.79/254.20 , multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 Z := Z
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174144) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Z ),
% 253.79/254.20 multiplication( Y, Z ) ) = multiplication( addition( X, Y ), Z ) }.
% 253.79/254.20 parent0[0]: (174100) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y
% 253.79/254.20 ), Z ) = addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 Z := Z
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z )
% 253.79/254.20 , multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 253.79/254.20 parent0: (174144) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Z )
% 253.79/254.20 , multiplication( Y, Z ) ) = multiplication( addition( X, Y ), Z ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 Z := Z
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==>
% 253.79/254.20 zero }.
% 253.79/254.20 parent0: (174102) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero
% 253.79/254.20 }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 253.79/254.20 ==> Y }.
% 253.79/254.20 parent0: (174103) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) =
% 253.79/254.20 Y }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 1 ==> 1
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X
% 253.79/254.20 , Y ) }.
% 253.79/254.20 parent0: (174104) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y
% 253.79/254.20 ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 1 ==> 1
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (13) {G0,W11,D5,L1,V1,M1} I { addition( X, multiplication(
% 253.79/254.20 domain( X ), X ) ) ==> multiplication( domain( X ), X ) }.
% 253.79/254.20 parent0: (174105) {G0,W11,D5,L1,V1,M1} { addition( X, multiplication(
% 253.79/254.20 domain( X ), X ) ) = multiplication( domain( X ), X ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174204) {G0,W10,D5,L1,V2,M1} { domain( multiplication( X, domain
% 253.79/254.20 ( Y ) ) ) = domain( multiplication( X, Y ) ) }.
% 253.79/254.20 parent0[0]: (174106) {G0,W10,D5,L1,V2,M1} { domain( multiplication( X, Y )
% 253.79/254.20 ) = domain( multiplication( X, domain( Y ) ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (14) {G0,W10,D5,L1,V2,M1} I { domain( multiplication( X,
% 253.79/254.20 domain( Y ) ) ) ==> domain( multiplication( X, Y ) ) }.
% 253.79/254.20 parent0: (174204) {G0,W10,D5,L1,V2,M1} { domain( multiplication( X, domain
% 253.79/254.20 ( Y ) ) ) = domain( multiplication( X, Y ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (15) {G0,W6,D4,L1,V1,M1} I { addition( domain( X ), one ) ==>
% 253.79/254.20 one }.
% 253.79/254.20 parent0: (174107) {G0,W6,D4,L1,V1,M1} { addition( domain( X ), one ) = one
% 253.79/254.20 }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (16) {G0,W4,D3,L1,V0,M1} I { domain( zero ) ==> zero }.
% 253.79/254.20 parent0: (174108) {G0,W4,D3,L1,V0,M1} { domain( zero ) = zero }.
% 253.79/254.20 substitution0:
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (18) {G0,W7,D4,L1,V1,M1} I { addition( domain( X ), antidomain
% 253.79/254.20 ( X ) ) ==> one }.
% 253.79/254.20 parent0: (174110) {G0,W7,D4,L1,V1,M1} { addition( domain( X ), antidomain
% 253.79/254.20 ( X ) ) = one }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (19) {G0,W7,D4,L1,V1,M1} I { multiplication( domain( X ),
% 253.79/254.20 antidomain( X ) ) ==> zero }.
% 253.79/254.20 parent0: (174111) {G0,W7,D4,L1,V1,M1} { multiplication( domain( X ),
% 253.79/254.20 antidomain( X ) ) = zero }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (20) {G0,W16,D6,L1,V0,M1} I { ! addition( antidomain(
% 253.79/254.20 multiplication( skol1, skol2 ) ), antidomain( multiplication( skol1,
% 253.79/254.20 domain( skol2 ) ) ) ) ==> antidomain( multiplication( skol1, domain(
% 253.79/254.20 skol2 ) ) ) }.
% 253.79/254.20 parent0: (174112) {G0,W16,D6,L1,V0,M1} { ! addition( antidomain(
% 253.79/254.20 multiplication( skol1, skol2 ) ), antidomain( multiplication( skol1,
% 253.79/254.20 domain( skol2 ) ) ) ) = antidomain( multiplication( skol1, domain( skol2
% 253.79/254.20 ) ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174293) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, zero ) }.
% 253.79/254.20 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 paramod: (174294) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 253.79/254.20 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 253.79/254.20 }.
% 253.79/254.20 parent1[0; 2]: (174293) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, zero )
% 253.79/254.20 }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := zero
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174297) {G1,W5,D3,L1,V1,M1} { addition( zero, X ) ==> X }.
% 253.79/254.20 parent0[0]: (174294) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (21) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X
% 253.79/254.20 }.
% 253.79/254.20 parent0: (174297) {G1,W5,D3,L1,V1,M1} { addition( zero, X ) ==> X }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174298) {G0,W6,D4,L1,V1,M1} { one ==> addition( domain( X ), one
% 253.79/254.20 ) }.
% 253.79/254.20 parent0[0]: (15) {G0,W6,D4,L1,V1,M1} I { addition( domain( X ), one ) ==>
% 253.79/254.20 one }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 paramod: (174299) {G1,W6,D4,L1,V1,M1} { one ==> addition( one, domain( X )
% 253.79/254.20 ) }.
% 253.79/254.20 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 253.79/254.20 }.
% 253.79/254.20 parent1[0; 2]: (174298) {G0,W6,D4,L1,V1,M1} { one ==> addition( domain( X
% 253.79/254.20 ), one ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := domain( X )
% 253.79/254.20 Y := one
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174302) {G1,W6,D4,L1,V1,M1} { addition( one, domain( X ) ) ==>
% 253.79/254.20 one }.
% 253.79/254.20 parent0[0]: (174299) {G1,W6,D4,L1,V1,M1} { one ==> addition( one, domain(
% 253.79/254.20 X ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (22) {G1,W6,D4,L1,V1,M1} P(15,0) { addition( one, domain( X )
% 253.79/254.20 ) ==> one }.
% 253.79/254.20 parent0: (174302) {G1,W6,D4,L1,V1,M1} { addition( one, domain( X ) ) ==>
% 253.79/254.20 one }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174304) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y ), Z )
% 253.79/254.20 ==> addition( X, addition( Y, Z ) ) }.
% 253.79/254.20 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 253.79/254.20 ==> addition( addition( Z, Y ), X ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := Z
% 253.79/254.20 Y := Y
% 253.79/254.20 Z := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 paramod: (174306) {G1,W10,D5,L1,V2,M1} { addition( addition( X, domain( Y
% 253.79/254.20 ) ), one ) ==> addition( X, one ) }.
% 253.79/254.20 parent0[0]: (15) {G0,W6,D4,L1,V1,M1} I { addition( domain( X ), one ) ==>
% 253.79/254.20 one }.
% 253.79/254.20 parent1[0; 9]: (174304) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y )
% 253.79/254.20 , Z ) ==> addition( X, addition( Y, Z ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := Y
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := X
% 253.79/254.20 Y := domain( Y )
% 253.79/254.20 Z := one
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (23) {G1,W10,D5,L1,V2,M1} P(15,1) { addition( addition( Y,
% 253.79/254.20 domain( X ) ), one ) ==> addition( Y, one ) }.
% 253.79/254.20 parent0: (174306) {G1,W10,D5,L1,V2,M1} { addition( addition( X, domain( Y
% 253.79/254.20 ) ), one ) ==> addition( X, one ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := Y
% 253.79/254.20 Y := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174309) {G0,W7,D4,L1,V1,M1} { one ==> addition( domain( X ),
% 253.79/254.20 antidomain( X ) ) }.
% 253.79/254.20 parent0[0]: (18) {G0,W7,D4,L1,V1,M1} I { addition( domain( X ), antidomain
% 253.79/254.20 ( X ) ) ==> one }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 paramod: (174310) {G1,W7,D4,L1,V1,M1} { one ==> addition( antidomain( X )
% 253.79/254.20 , domain( X ) ) }.
% 253.79/254.20 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 253.79/254.20 }.
% 253.79/254.20 parent1[0; 2]: (174309) {G0,W7,D4,L1,V1,M1} { one ==> addition( domain( X
% 253.79/254.20 ), antidomain( X ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := domain( X )
% 253.79/254.20 Y := antidomain( X )
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174313) {G1,W7,D4,L1,V1,M1} { addition( antidomain( X ), domain(
% 253.79/254.20 X ) ) ==> one }.
% 253.79/254.20 parent0[0]: (174310) {G1,W7,D4,L1,V1,M1} { one ==> addition( antidomain( X
% 253.79/254.20 ), domain( X ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (30) {G1,W7,D4,L1,V1,M1} P(18,0) { addition( antidomain( X ),
% 253.79/254.20 domain( X ) ) ==> one }.
% 253.79/254.20 parent0: (174313) {G1,W7,D4,L1,V1,M1} { addition( antidomain( X ), domain
% 253.79/254.20 ( X ) ) ==> one }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174314) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 253.79/254.20 ) }.
% 253.79/254.20 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 253.79/254.20 Y ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174315) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 253.79/254.20 parent0[0]: (21) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 resolution: (174316) {G1,W3,D2,L1,V1,M1} { leq( zero, X ) }.
% 253.79/254.20 parent0[0]: (174314) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq(
% 253.79/254.20 X, Y ) }.
% 253.79/254.20 parent1[0]: (174315) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := zero
% 253.79/254.20 Y := X
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (35) {G2,W3,D2,L1,V1,M1} R(12,21) { leq( zero, X ) }.
% 253.79/254.20 parent0: (174316) {G1,W3,D2,L1,V1,M1} { leq( zero, X ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174317) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 253.79/254.20 ) }.
% 253.79/254.20 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 253.79/254.20 Y ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174318) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, X ) }.
% 253.79/254.20 parent0[0]: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 resolution: (174319) {G1,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 253.79/254.20 parent0[0]: (174317) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq(
% 253.79/254.20 X, Y ) }.
% 253.79/254.20 parent1[0]: (174318) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, X ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := X
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (36) {G1,W3,D2,L1,V1,M1} R(12,3) { leq( X, X ) }.
% 253.79/254.20 parent0: (174319) {G1,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174321) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 253.79/254.20 ) }.
% 253.79/254.20 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 253.79/254.20 Y ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 paramod: (174322) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Y ) ==>
% 253.79/254.20 multiplication( X, addition( Z, Y ) ), leq( multiplication( X, Z ),
% 253.79/254.20 multiplication( X, Y ) ) }.
% 253.79/254.20 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 253.79/254.20 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 253.79/254.20 parent1[0; 5]: (174321) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ),
% 253.79/254.20 leq( X, Y ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Z
% 253.79/254.20 Z := Y
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := multiplication( X, Z )
% 253.79/254.20 Y := multiplication( X, Y )
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174323) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, addition( Z,
% 253.79/254.20 Y ) ) ==> multiplication( X, Y ), leq( multiplication( X, Z ),
% 253.79/254.20 multiplication( X, Y ) ) }.
% 253.79/254.20 parent0[0]: (174322) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Y ) ==>
% 253.79/254.20 multiplication( X, addition( Z, Y ) ), leq( multiplication( X, Z ),
% 253.79/254.20 multiplication( X, Y ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 Z := Z
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (43) {G1,W16,D4,L2,V3,M2} P(7,12) { ! multiplication( X,
% 253.79/254.20 addition( Y, Z ) ) ==> multiplication( X, Z ), leq( multiplication( X, Y
% 253.79/254.20 ), multiplication( X, Z ) ) }.
% 253.79/254.20 parent0: (174323) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, addition( Z
% 253.79/254.20 , Y ) ) ==> multiplication( X, Y ), leq( multiplication( X, Z ),
% 253.79/254.20 multiplication( X, Y ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Z
% 253.79/254.20 Z := Y
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 1 ==> 1
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174324) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 253.79/254.20 ) }.
% 253.79/254.20 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 253.79/254.20 ==> Y }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 paramod: (174326) {G1,W16,D4,L2,V3,M2} { multiplication( X, Y ) ==>
% 253.79/254.20 multiplication( X, addition( Z, Y ) ), ! leq( multiplication( X, Z ),
% 253.79/254.20 multiplication( X, Y ) ) }.
% 253.79/254.20 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 253.79/254.20 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 253.79/254.20 parent1[0; 4]: (174324) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), !
% 253.79/254.20 leq( X, Y ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Z
% 253.79/254.20 Z := Y
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := multiplication( X, Z )
% 253.79/254.20 Y := multiplication( X, Y )
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174327) {G1,W16,D4,L2,V3,M2} { multiplication( X, addition( Z, Y
% 253.79/254.20 ) ) ==> multiplication( X, Y ), ! leq( multiplication( X, Z ),
% 253.79/254.20 multiplication( X, Y ) ) }.
% 253.79/254.20 parent0[0]: (174326) {G1,W16,D4,L2,V3,M2} { multiplication( X, Y ) ==>
% 253.79/254.20 multiplication( X, addition( Z, Y ) ), ! leq( multiplication( X, Z ),
% 253.79/254.20 multiplication( X, Y ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 Z := Z
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (56) {G1,W16,D4,L2,V3,M2} P(11,7) { multiplication( X,
% 253.79/254.20 addition( Y, Z ) ) ==> multiplication( X, Z ), ! leq( multiplication( X,
% 253.79/254.20 Y ), multiplication( X, Z ) ) }.
% 253.79/254.20 parent0: (174327) {G1,W16,D4,L2,V3,M2} { multiplication( X, addition( Z, Y
% 253.79/254.20 ) ) ==> multiplication( X, Y ), ! leq( multiplication( X, Z ),
% 253.79/254.20 multiplication( X, Y ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Z
% 253.79/254.20 Z := Y
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 1 ==> 1
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174328) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 253.79/254.20 ) }.
% 253.79/254.20 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 253.79/254.20 ==> Y }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 paramod: (174330) {G1,W6,D2,L2,V1,M2} { zero ==> X, ! leq( X, zero ) }.
% 253.79/254.20 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 253.79/254.20 parent1[0; 2]: (174328) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), !
% 253.79/254.20 leq( X, Y ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := X
% 253.79/254.20 Y := zero
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (62) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero )
% 253.79/254.20 }.
% 253.79/254.20 parent0: (174330) {G1,W6,D2,L2,V1,M2} { zero ==> X, ! leq( X, zero ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 1 ==> 1
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174332) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 253.79/254.20 ) }.
% 253.79/254.20 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 253.79/254.20 ==> Y }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 paramod: (174333) {G1,W8,D3,L2,V2,M2} { X ==> addition( X, Y ), ! leq( Y,
% 253.79/254.20 X ) }.
% 253.79/254.20 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 253.79/254.20 }.
% 253.79/254.20 parent1[0; 2]: (174332) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), !
% 253.79/254.20 leq( X, Y ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := Y
% 253.79/254.20 Y := X
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := Y
% 253.79/254.20 Y := X
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174336) {G1,W8,D3,L2,V2,M2} { addition( X, Y ) ==> X, ! leq( Y, X
% 253.79/254.20 ) }.
% 253.79/254.20 parent0[0]: (174333) {G1,W8,D3,L2,V2,M2} { X ==> addition( X, Y ), ! leq(
% 253.79/254.20 Y, X ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Y
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (63) {G1,W8,D3,L2,V2,M2} P(11,0) { addition( Y, X ) ==> Y, !
% 253.79/254.20 leq( X, Y ) }.
% 253.79/254.20 parent0: (174336) {G1,W8,D3,L2,V2,M2} { addition( X, Y ) ==> X, ! leq( Y,
% 253.79/254.20 X ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := Y
% 253.79/254.20 Y := X
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 0
% 253.79/254.20 1 ==> 1
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174337) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Z ),
% 253.79/254.20 Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) ) }.
% 253.79/254.20 parent0[0]: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 253.79/254.20 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Z
% 253.79/254.20 Z := Y
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 paramod: (174340) {G1,W16,D4,L2,V3,M2} { multiplication( addition( X, Y )
% 253.79/254.20 , Z ) ==> multiplication( Y, Z ), ! leq( multiplication( X, Z ),
% 253.79/254.20 multiplication( Y, Z ) ) }.
% 253.79/254.20 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 253.79/254.20 ==> Y }.
% 253.79/254.20 parent1[0; 6]: (174337) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X
% 253.79/254.20 , Z ), Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) )
% 253.79/254.20 }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := multiplication( X, Z )
% 253.79/254.20 Y := multiplication( Y, Z )
% 253.79/254.20 end
% 253.79/254.20 substitution1:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Z
% 253.79/254.20 Z := Y
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 subsumption: (64) {G1,W16,D4,L2,V3,M2} P(8,11) { ! leq( multiplication( X,
% 253.79/254.20 Y ), multiplication( Z, Y ) ), multiplication( addition( X, Z ), Y ) ==>
% 253.79/254.20 multiplication( Z, Y ) }.
% 253.79/254.20 parent0: (174340) {G1,W16,D4,L2,V3,M2} { multiplication( addition( X, Y )
% 253.79/254.20 , Z ) ==> multiplication( Y, Z ), ! leq( multiplication( X, Z ),
% 253.79/254.20 multiplication( Y, Z ) ) }.
% 253.79/254.20 substitution0:
% 253.79/254.20 X := X
% 253.79/254.20 Y := Z
% 253.79/254.20 Z := Y
% 253.79/254.20 end
% 253.79/254.20 permutation0:
% 253.79/254.20 0 ==> 1
% 253.79/254.20 1 ==> 0
% 253.79/254.20 end
% 253.79/254.20
% 253.79/254.20 eqswap: (174345) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Z ),
% 253.79/254.20 Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) ) }.
% 253.81/254.22 parent0[0]: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 253.81/254.22 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 253.81/254.22 substitution0:
% 253.81/254.22 X := X
% 253.81/254.22 Y := Z
% 253.81/254.22 Z := Y
% 253.81/254.22 end
% 253.81/254.22
% 253.81/254.22 paramod: (174347) {G1,W14,D5,L1,V2,M1} { multiplication( addition( domain
% 253.81/254.22 ( X ), Y ), antidomain( X ) ) ==> addition( zero, multiplication( Y,
% 253.81/254.22 antidomain( X ) ) ) }.
% 253.81/254.22 parent0[0]: (19) {G0,W7,D4,L1,V1,M1} I { multiplication( domain( X ),
% 253.81/254.22 antidomain( X ) ) ==> zero }.
% 253.81/254.22 parent1[0; 9]: (174345) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X
% 253.81/254.22 , Z ), Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) )
% 253.81/254.22 }.
% 253.81/254.22 substitution0:
% 253.81/254.22 X := X
% 253.81/254.22 end
% 253.81/254.22 substitution1:
% 253.81/254.22 X := domain( X )
% 253.81/254.22 Y := antidomain( X )
% 253.81/254.22 Z := Y
% 253.81/254.22 end
% 253.81/254.22
% 253.81/254.22 paramod: (174349) {G2,W12,D5,L1,V2,M1} { multiplication( addition( domain
% 253.81/254.22 ( X ), Y ), antidomain( X ) ) ==> multiplication( Y, antidomain( X ) )
% 253.81/254.22 }.
% 253.81/254.22 parent0[0]: (21) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 253.81/254.22 parent1[0; 8]: (174347) {G1,W14,D5,L1,V2,M1} { multiplication( addition(
% 253.81/254.22 domain( X ), Y ), antidomain( X ) ) ==> addition( zero, multiplication( Y
% 253.81/254.22 , antidomain( X ) ) ) }.
% 253.81/254.22 substitution0:
% 253.81/254.22 X := multiplication( Y, antidomain( X ) )
% 253.81/254.22 end
% 253.81/254.22 substitution1:
% 253.81/254.22 X := X
% 253.81/254.22 Y := Y
% 253.81/254.22 end
% 253.81/254.22
% 253.81/254.22 subsumption: (66) {G2,W12,D5,L1,V2,M1} P(19,8);d(21) { multiplication(
% 253.81/254.22 addition( domain( X ), Y ), antidomain( X ) ) ==> multiplication( Y,
% 253.81/254.22 antidomain( X ) ) }.
% 253.81/254.22 parent0: (174349) {G2,W12,D5,L1,V2,M1} { multiplication( addition( domain
% 253.81/254.22 ( X ), Y ), antidomain( X ) ) ==> multiplication( Y, antidomain( X ) )
% 253.81/254.22 }.
% 253.81/254.22 substitution0:
% 253.81/254.22 X := X
% 253.81/254.22 Y := Y
% 253.81/254.22 end
% 253.81/254.22 permutation0:
% 253.81/254.22 0 ==> 0
% 253.81/254.22 end
% 253.81/254.22
% 253.81/254.22 eqswap: (174352) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Z ),
% 253.81/254.22 Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) ) }.
% 253.81/254.22 parent0[0]: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 253.81/254.22 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 253.81/254.22 substitution0:
% 253.81/254.22 X := X
% 253.81/254.22 Y := Z
% 253.81/254.22 Z := Y
% 253.81/254.22 end
% 253.81/254.22
% 253.81/254.22 paramod: (174353) {G1,W11,D4,L1,V2,M1} { multiplication( addition( one, X
% 253.81/254.22 ), Y ) ==> addition( Y, multiplication( X, Y ) ) }.
% 253.81/254.22 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 253.81/254.22 parent1[0; 7]: (174352) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X
% 253.81/254.22 , Z ), Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) )
% 253.81/254.22 }.
% 253.81/254.22 substitution0:
% 253.81/254.22 X := Y
% 253.81/254.22 end
% 253.81/254.22 substitution1:
% 253.81/254.22 X := one
% 253.81/254.22 Y := Y
% 253.81/254.22 Z := X
% 253.81/254.22 end
% 253.81/254.22
% 253.81/254.22 eqswap: (174355) {G1,W11,D4,L1,V2,M1} { addition( Y, multiplication( X, Y
% 253.81/254.22 ) ) ==> multiplication( addition( one, X ), Y ) }.
% 253.81/254.22 parent0[0]: (174353) {G1,W11,D4,L1,V2,M1} { multiplication( addition( one
% 253.81/254.22 , X ), Y ) ==> addition( Y, multiplication( X, Y ) ) }.
% 253.81/254.22 substitution0:
% 253.81/254.22 X := X
% 253.81/254.22 Y := Y
% 253.81/254.22 end
% 253.81/254.22
% 253.81/254.22 subsumption: (70) {G1,W11,D4,L1,V2,M1} P(6,8) { addition( X, multiplication
% 253.81/254.22 ( Y, X ) ) = multiplication( addition( one, Y ), X ) }.
% 253.81/254.22 parent0: (174355) {G1,W11,D4,L1,V2,M1} { addition( Y, multiplication( X, Y
% 253.81/254.22 ) ) ==> multiplication( addition( one, X ), Y ) }.
% 253.81/254.22 substitution0:
% 253.81/254.22 X := Y
% 253.81/254.22 Y := X
% 253.81/254.22 end
% 253.81/254.22 permutation0:
% 253.81/254.22 0 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (174357) {G1,W6,D2,L2,V1,M2} { X = zero, ! leq( X, zero ) }.
% 253.83/254.22 parent0[0]: (62) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero )
% 253.83/254.22 }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (175542) {G1,W14,D5,L2,V1,M2} { addition( X, multiplication(
% 253.83/254.22 domain( X ), X ) ) ==> multiplication( zero, X ), ! leq( domain( X ),
% 253.83/254.22 zero ) }.
% 253.83/254.22 parent0[0]: (174357) {G1,W6,D2,L2,V1,M2} { X = zero, ! leq( X, zero ) }.
% 253.83/254.22 parent1[0; 8]: (13) {G0,W11,D5,L1,V1,M1} I { addition( X, multiplication(
% 253.83/254.22 domain( X ), X ) ) ==> multiplication( domain( X ), X ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := domain( X )
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (175545) {G2,W17,D4,L3,V1,M3} { addition( X, multiplication( zero
% 253.83/254.22 , X ) ) ==> multiplication( zero, X ), ! leq( domain( X ), zero ), ! leq
% 253.83/254.22 ( domain( X ), zero ) }.
% 253.83/254.22 parent0[0]: (174357) {G1,W6,D2,L2,V1,M2} { X = zero, ! leq( X, zero ) }.
% 253.83/254.22 parent1[0; 4]: (175542) {G1,W14,D5,L2,V1,M2} { addition( X, multiplication
% 253.83/254.22 ( domain( X ), X ) ) ==> multiplication( zero, X ), ! leq( domain( X ),
% 253.83/254.22 zero ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := domain( X )
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 factor: (175593) {G2,W13,D4,L2,V1,M2} { addition( X, multiplication( zero
% 253.83/254.22 , X ) ) ==> multiplication( zero, X ), ! leq( domain( X ), zero ) }.
% 253.83/254.22 parent0[1, 2]: (175545) {G2,W17,D4,L3,V1,M3} { addition( X, multiplication
% 253.83/254.22 ( zero, X ) ) ==> multiplication( zero, X ), ! leq( domain( X ), zero ),
% 253.83/254.22 ! leq( domain( X ), zero ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (177968) {G1,W11,D4,L2,V1,M2} { addition( X, multiplication( zero
% 253.83/254.22 , X ) ) ==> zero, ! leq( domain( X ), zero ) }.
% 253.83/254.22 parent0[0]: (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==> zero
% 253.83/254.22 }.
% 253.83/254.22 parent1[0; 6]: (175593) {G2,W13,D4,L2,V1,M2} { addition( X, multiplication
% 253.83/254.22 ( zero, X ) ) ==> multiplication( zero, X ), ! leq( domain( X ), zero )
% 253.83/254.22 }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (177969) {G1,W9,D3,L2,V1,M2} { addition( X, zero ) ==> zero, !
% 253.83/254.22 leq( domain( X ), zero ) }.
% 253.83/254.22 parent0[0]: (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==> zero
% 253.83/254.22 }.
% 253.83/254.22 parent1[0; 3]: (177968) {G1,W11,D4,L2,V1,M2} { addition( X, multiplication
% 253.83/254.22 ( zero, X ) ) ==> zero, ! leq( domain( X ), zero ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (177970) {G1,W7,D3,L2,V1,M2} { X ==> zero, ! leq( domain( X ),
% 253.83/254.22 zero ) }.
% 253.83/254.22 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 253.83/254.22 parent1[0; 1]: (177969) {G1,W9,D3,L2,V1,M2} { addition( X, zero ) ==> zero
% 253.83/254.22 , ! leq( domain( X ), zero ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (122) {G2,W7,D3,L2,V1,M2} P(62,13);d(10);d(2) { ! leq( domain
% 253.83/254.22 ( X ), zero ), X = zero }.
% 253.83/254.22 parent0: (177970) {G1,W7,D3,L2,V1,M2} { X ==> zero, ! leq( domain( X ),
% 253.83/254.22 zero ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 1
% 253.83/254.22 1 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (177972) {G0,W16,D6,L1,V0,M1} { ! antidomain( multiplication(
% 253.83/254.22 skol1, domain( skol2 ) ) ) ==> addition( antidomain( multiplication(
% 253.83/254.22 skol1, skol2 ) ), antidomain( multiplication( skol1, domain( skol2 ) ) )
% 253.83/254.22 ) }.
% 253.83/254.22 parent0[0]: (20) {G0,W16,D6,L1,V0,M1} I { ! addition( antidomain(
% 253.83/254.22 multiplication( skol1, skol2 ) ), antidomain( multiplication( skol1,
% 253.83/254.22 domain( skol2 ) ) ) ) ==> antidomain( multiplication( skol1, domain(
% 253.83/254.22 skol2 ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (177973) {G1,W16,D6,L1,V0,M1} { ! antidomain( multiplication(
% 253.83/254.22 skol1, domain( skol2 ) ) ) ==> addition( antidomain( multiplication(
% 253.83/254.22 skol1, domain( skol2 ) ) ), antidomain( multiplication( skol1, skol2 ) )
% 253.83/254.22 ) }.
% 253.83/254.22 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 253.83/254.22 }.
% 253.83/254.22 parent1[0; 7]: (177972) {G0,W16,D6,L1,V0,M1} { ! antidomain(
% 253.83/254.22 multiplication( skol1, domain( skol2 ) ) ) ==> addition( antidomain(
% 253.83/254.22 multiplication( skol1, skol2 ) ), antidomain( multiplication( skol1,
% 253.83/254.22 domain( skol2 ) ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := antidomain( multiplication( skol1, skol2 ) )
% 253.83/254.22 Y := antidomain( multiplication( skol1, domain( skol2 ) ) )
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (177976) {G1,W16,D6,L1,V0,M1} { ! addition( antidomain(
% 253.83/254.22 multiplication( skol1, domain( skol2 ) ) ), antidomain( multiplication(
% 253.83/254.22 skol1, skol2 ) ) ) ==> antidomain( multiplication( skol1, domain( skol2 )
% 253.83/254.22 ) ) }.
% 253.83/254.22 parent0[0]: (177973) {G1,W16,D6,L1,V0,M1} { ! antidomain( multiplication(
% 253.83/254.22 skol1, domain( skol2 ) ) ) ==> addition( antidomain( multiplication(
% 253.83/254.22 skol1, domain( skol2 ) ) ), antidomain( multiplication( skol1, skol2 ) )
% 253.83/254.22 ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (211) {G1,W16,D6,L1,V0,M1} P(0,20) { ! addition( antidomain(
% 253.83/254.22 multiplication( skol1, domain( skol2 ) ) ), antidomain( multiplication(
% 253.83/254.22 skol1, skol2 ) ) ) ==> antidomain( multiplication( skol1, domain( skol2 )
% 253.83/254.22 ) ) }.
% 253.83/254.22 parent0: (177976) {G1,W16,D6,L1,V0,M1} { ! addition( antidomain(
% 253.83/254.22 multiplication( skol1, domain( skol2 ) ) ), antidomain( multiplication(
% 253.83/254.22 skol1, skol2 ) ) ) ==> antidomain( multiplication( skol1, domain( skol2 )
% 253.83/254.22 ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (177978) {G1,W10,D5,L1,V2,M1} { addition( X, one ) ==> addition(
% 253.83/254.22 addition( X, domain( Y ) ), one ) }.
% 253.83/254.22 parent0[0]: (23) {G1,W10,D5,L1,V2,M1} P(15,1) { addition( addition( Y,
% 253.83/254.22 domain( X ) ), one ) ==> addition( Y, one ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 Y := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (177980) {G2,W8,D4,L1,V1,M1} { addition( antidomain( X ), one )
% 253.83/254.22 ==> addition( one, one ) }.
% 253.83/254.22 parent0[0]: (30) {G1,W7,D4,L1,V1,M1} P(18,0) { addition( antidomain( X ),
% 253.83/254.22 domain( X ) ) ==> one }.
% 253.83/254.22 parent1[0; 6]: (177978) {G1,W10,D5,L1,V2,M1} { addition( X, one ) ==>
% 253.83/254.22 addition( addition( X, domain( Y ) ), one ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := antidomain( X )
% 253.83/254.22 Y := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (177981) {G1,W6,D4,L1,V1,M1} { addition( antidomain( X ), one )
% 253.83/254.22 ==> one }.
% 253.83/254.22 parent0[0]: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 253.83/254.22 parent1[0; 5]: (177980) {G2,W8,D4,L1,V1,M1} { addition( antidomain( X ),
% 253.83/254.22 one ) ==> addition( one, one ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := one
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (225) {G2,W6,D4,L1,V1,M1} P(30,23);d(3) { addition( antidomain
% 253.83/254.22 ( X ), one ) ==> one }.
% 253.83/254.22 parent0: (177981) {G1,W6,D4,L1,V1,M1} { addition( antidomain( X ), one )
% 253.83/254.22 ==> one }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (177984) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Z ) ==>
% 253.83/254.22 multiplication( X, addition( Y, Z ) ), leq( multiplication( X, Y ),
% 253.83/254.22 multiplication( X, Z ) ) }.
% 253.83/254.22 parent0[0]: (43) {G1,W16,D4,L2,V3,M2} P(7,12) { ! multiplication( X,
% 253.83/254.22 addition( Y, Z ) ) ==> multiplication( X, Z ), leq( multiplication( X, Y
% 253.83/254.22 ), multiplication( X, Z ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 Z := Z
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (177986) {G2,W15,D4,L2,V2,M2} { ! multiplication( X, one ) ==>
% 253.83/254.22 multiplication( X, one ), leq( multiplication( X, antidomain( Y ) ),
% 253.83/254.22 multiplication( X, one ) ) }.
% 253.83/254.22 parent0[0]: (225) {G2,W6,D4,L1,V1,M1} P(30,23);d(3) { addition( antidomain
% 253.83/254.22 ( X ), one ) ==> one }.
% 253.83/254.22 parent1[0; 7]: (177984) {G1,W16,D4,L2,V3,M2} { ! multiplication( X, Z )
% 253.83/254.22 ==> multiplication( X, addition( Y, Z ) ), leq( multiplication( X, Y ),
% 253.83/254.22 multiplication( X, Z ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := antidomain( Y )
% 253.83/254.22 Z := one
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqrefl: (177987) {G0,W8,D4,L1,V2,M1} { leq( multiplication( X, antidomain
% 253.83/254.22 ( Y ) ), multiplication( X, one ) ) }.
% 253.83/254.22 parent0[0]: (177986) {G2,W15,D4,L2,V2,M2} { ! multiplication( X, one ) ==>
% 253.83/254.22 multiplication( X, one ), leq( multiplication( X, antidomain( Y ) ),
% 253.83/254.22 multiplication( X, one ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (177988) {G1,W6,D4,L1,V2,M1} { leq( multiplication( X, antidomain
% 253.83/254.22 ( Y ) ), X ) }.
% 253.83/254.22 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 253.83/254.22 parent1[0; 5]: (177987) {G0,W8,D4,L1,V2,M1} { leq( multiplication( X,
% 253.83/254.22 antidomain( Y ) ), multiplication( X, one ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (461) {G3,W6,D4,L1,V2,M1} P(225,43);q;d(5) { leq(
% 253.83/254.22 multiplication( Y, antidomain( X ) ), Y ) }.
% 253.83/254.22 parent0: (177988) {G1,W6,D4,L1,V2,M1} { leq( multiplication( X, antidomain
% 253.83/254.22 ( Y ) ), X ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 Y := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (177990) {G2,W7,D3,L2,V1,M2} { zero = X, ! leq( domain( X ), zero
% 253.83/254.22 ) }.
% 253.83/254.22 parent0[1]: (122) {G2,W7,D3,L2,V1,M2} P(62,13);d(10);d(2) { ! leq( domain(
% 253.83/254.22 X ), zero ), X = zero }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178447) {G1,W12,D4,L2,V2,M2} { ! leq( domain( multiplication( X
% 253.83/254.22 , Y ) ), zero ), zero = multiplication( X, domain( Y ) ) }.
% 253.83/254.22 parent0[0]: (14) {G0,W10,D5,L1,V2,M1} I { domain( multiplication( X, domain
% 253.83/254.22 ( Y ) ) ) ==> domain( multiplication( X, Y ) ) }.
% 253.83/254.22 parent1[1; 2]: (177990) {G2,W7,D3,L2,V1,M2} { zero = X, ! leq( domain( X )
% 253.83/254.22 , zero ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := multiplication( X, domain( Y ) )
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178448) {G1,W12,D4,L2,V2,M2} { multiplication( X, domain( Y ) ) =
% 253.83/254.22 zero, ! leq( domain( multiplication( X, Y ) ), zero ) }.
% 253.83/254.22 parent0[1]: (178447) {G1,W12,D4,L2,V2,M2} { ! leq( domain( multiplication
% 253.83/254.22 ( X, Y ) ), zero ), zero = multiplication( X, domain( Y ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (828) {G3,W12,D4,L2,V2,M2} P(14,122) { ! leq( domain(
% 253.83/254.22 multiplication( X, Y ) ), zero ), multiplication( X, domain( Y ) ) ==>
% 253.83/254.22 zero }.
% 253.83/254.22 parent0: (178448) {G1,W12,D4,L2,V2,M2} { multiplication( X, domain( Y ) )
% 253.83/254.22 = zero, ! leq( domain( multiplication( X, Y ) ), zero ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 1
% 253.83/254.22 1 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178450) {G1,W16,D4,L2,V3,M2} { multiplication( X, Z ) ==>
% 253.83/254.22 multiplication( X, addition( Y, Z ) ), ! leq( multiplication( X, Y ),
% 253.83/254.22 multiplication( X, Z ) ) }.
% 253.83/254.22 parent0[0]: (56) {G1,W16,D4,L2,V3,M2} P(11,7) { multiplication( X, addition
% 253.83/254.22 ( Y, Z ) ) ==> multiplication( X, Z ), ! leq( multiplication( X, Y ),
% 253.83/254.22 multiplication( X, Z ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 Z := Z
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178452) {G2,W17,D4,L2,V2,M2} { multiplication( X, domain( Y ) )
% 253.83/254.22 ==> multiplication( X, one ), ! leq( multiplication( X, antidomain( Y ) )
% 253.83/254.22 , multiplication( X, domain( Y ) ) ) }.
% 253.83/254.22 parent0[0]: (30) {G1,W7,D4,L1,V1,M1} P(18,0) { addition( antidomain( X ),
% 253.83/254.22 domain( X ) ) ==> one }.
% 253.83/254.22 parent1[0; 7]: (178450) {G1,W16,D4,L2,V3,M2} { multiplication( X, Z ) ==>
% 253.83/254.22 multiplication( X, addition( Y, Z ) ), ! leq( multiplication( X, Y ),
% 253.83/254.22 multiplication( X, Z ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := antidomain( Y )
% 253.83/254.22 Z := domain( Y )
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178453) {G1,W15,D4,L2,V2,M2} { multiplication( X, domain( Y ) )
% 253.83/254.22 ==> X, ! leq( multiplication( X, antidomain( Y ) ), multiplication( X,
% 253.83/254.22 domain( Y ) ) ) }.
% 253.83/254.22 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 253.83/254.22 parent1[0; 5]: (178452) {G2,W17,D4,L2,V2,M2} { multiplication( X, domain(
% 253.83/254.22 Y ) ) ==> multiplication( X, one ), ! leq( multiplication( X, antidomain
% 253.83/254.22 ( Y ) ), multiplication( X, domain( Y ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (874) {G2,W15,D4,L2,V2,M2} P(30,56);d(5) { ! leq(
% 253.83/254.22 multiplication( Y, antidomain( X ) ), multiplication( Y, domain( X ) ) )
% 253.83/254.22 , multiplication( Y, domain( X ) ) ==> Y }.
% 253.83/254.22 parent0: (178453) {G1,W15,D4,L2,V2,M2} { multiplication( X, domain( Y ) )
% 253.83/254.22 ==> X, ! leq( multiplication( X, antidomain( Y ) ), multiplication( X,
% 253.83/254.22 domain( Y ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 Y := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 1
% 253.83/254.22 1 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178456) {G1,W16,D4,L2,V3,M2} { multiplication( X, Z ) ==>
% 253.83/254.22 multiplication( X, addition( Y, Z ) ), ! leq( multiplication( X, Y ),
% 253.83/254.22 multiplication( X, Z ) ) }.
% 253.83/254.22 parent0[0]: (56) {G1,W16,D4,L2,V3,M2} P(11,7) { multiplication( X, addition
% 253.83/254.22 ( Y, Z ) ) ==> multiplication( X, Z ), ! leq( multiplication( X, Y ),
% 253.83/254.22 multiplication( X, Z ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 Z := Z
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178458) {G1,W17,D4,L2,V2,M2} { multiplication( X, antidomain( Y
% 253.83/254.22 ) ) ==> multiplication( X, one ), ! leq( multiplication( X, domain( Y )
% 253.83/254.22 ), multiplication( X, antidomain( Y ) ) ) }.
% 253.83/254.22 parent0[0]: (18) {G0,W7,D4,L1,V1,M1} I { addition( domain( X ), antidomain
% 253.83/254.22 ( X ) ) ==> one }.
% 253.83/254.22 parent1[0; 7]: (178456) {G1,W16,D4,L2,V3,M2} { multiplication( X, Z ) ==>
% 253.83/254.22 multiplication( X, addition( Y, Z ) ), ! leq( multiplication( X, Y ),
% 253.83/254.22 multiplication( X, Z ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := domain( Y )
% 253.83/254.22 Z := antidomain( Y )
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178459) {G1,W15,D4,L2,V2,M2} { multiplication( X, antidomain( Y
% 253.83/254.22 ) ) ==> X, ! leq( multiplication( X, domain( Y ) ), multiplication( X,
% 253.83/254.22 antidomain( Y ) ) ) }.
% 253.83/254.22 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 253.83/254.22 parent1[0; 5]: (178458) {G1,W17,D4,L2,V2,M2} { multiplication( X,
% 253.83/254.22 antidomain( Y ) ) ==> multiplication( X, one ), ! leq( multiplication( X
% 253.83/254.22 , domain( Y ) ), multiplication( X, antidomain( Y ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (875) {G2,W15,D4,L2,V2,M2} P(18,56);d(5) { ! leq(
% 253.83/254.22 multiplication( Y, domain( X ) ), multiplication( Y, antidomain( X ) ) )
% 253.83/254.22 , multiplication( Y, antidomain( X ) ) ==> Y }.
% 253.83/254.22 parent0: (178459) {G1,W15,D4,L2,V2,M2} { multiplication( X, antidomain( Y
% 253.83/254.22 ) ) ==> X, ! leq( multiplication( X, domain( Y ) ), multiplication( X,
% 253.83/254.22 antidomain( Y ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 Y := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 1
% 253.83/254.22 1 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178462) {G1,W16,D4,L2,V3,M2} { multiplication( Y, Z ) ==>
% 253.83/254.22 multiplication( addition( X, Y ), Z ), ! leq( multiplication( X, Z ),
% 253.83/254.22 multiplication( Y, Z ) ) }.
% 253.83/254.22 parent0[1]: (64) {G1,W16,D4,L2,V3,M2} P(8,11) { ! leq( multiplication( X, Y
% 253.83/254.22 ), multiplication( Z, Y ) ), multiplication( addition( X, Z ), Y ) ==>
% 253.83/254.22 multiplication( Z, Y ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Z
% 253.83/254.22 Z := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178464) {G2,W17,D4,L2,V2,M2} { multiplication( domain( X ), Y )
% 253.83/254.22 ==> multiplication( one, Y ), ! leq( multiplication( antidomain( X ), Y )
% 253.83/254.22 , multiplication( domain( X ), Y ) ) }.
% 253.83/254.22 parent0[0]: (30) {G1,W7,D4,L1,V1,M1} P(18,0) { addition( antidomain( X ),
% 253.83/254.22 domain( X ) ) ==> one }.
% 253.83/254.22 parent1[0; 6]: (178462) {G1,W16,D4,L2,V3,M2} { multiplication( Y, Z ) ==>
% 253.83/254.22 multiplication( addition( X, Y ), Z ), ! leq( multiplication( X, Z ),
% 253.83/254.22 multiplication( Y, Z ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := antidomain( X )
% 253.83/254.22 Y := domain( X )
% 253.83/254.22 Z := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178465) {G1,W15,D4,L2,V2,M2} { multiplication( domain( X ), Y )
% 253.83/254.22 ==> Y, ! leq( multiplication( antidomain( X ), Y ), multiplication(
% 253.83/254.22 domain( X ), Y ) ) }.
% 253.83/254.22 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 253.83/254.22 parent1[0; 5]: (178464) {G2,W17,D4,L2,V2,M2} { multiplication( domain( X )
% 253.83/254.22 , Y ) ==> multiplication( one, Y ), ! leq( multiplication( antidomain( X
% 253.83/254.22 ), Y ), multiplication( domain( X ), Y ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (1283) {G2,W15,D4,L2,V2,M2} P(30,64);d(6) { ! leq(
% 253.83/254.22 multiplication( antidomain( X ), Y ), multiplication( domain( X ), Y ) )
% 253.83/254.22 , multiplication( domain( X ), Y ) ==> Y }.
% 253.83/254.22 parent0: (178465) {G1,W15,D4,L2,V2,M2} { multiplication( domain( X ), Y )
% 253.83/254.22 ==> Y, ! leq( multiplication( antidomain( X ), Y ), multiplication(
% 253.83/254.22 domain( X ), Y ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 1
% 253.83/254.22 1 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178468) {G1,W16,D4,L2,V3,M2} { multiplication( Y, Z ) ==>
% 253.83/254.22 multiplication( addition( X, Y ), Z ), ! leq( multiplication( X, Z ),
% 253.83/254.22 multiplication( Y, Z ) ) }.
% 253.83/254.22 parent0[1]: (64) {G1,W16,D4,L2,V3,M2} P(8,11) { ! leq( multiplication( X, Y
% 253.83/254.22 ), multiplication( Z, Y ) ), multiplication( addition( X, Z ), Y ) ==>
% 253.83/254.22 multiplication( Z, Y ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Z
% 253.83/254.22 Z := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178470) {G1,W17,D4,L2,V2,M2} { multiplication( antidomain( X ),
% 253.83/254.22 Y ) ==> multiplication( one, Y ), ! leq( multiplication( domain( X ), Y )
% 253.83/254.22 , multiplication( antidomain( X ), Y ) ) }.
% 253.83/254.22 parent0[0]: (18) {G0,W7,D4,L1,V1,M1} I { addition( domain( X ), antidomain
% 253.83/254.22 ( X ) ) ==> one }.
% 253.83/254.22 parent1[0; 6]: (178468) {G1,W16,D4,L2,V3,M2} { multiplication( Y, Z ) ==>
% 253.83/254.22 multiplication( addition( X, Y ), Z ), ! leq( multiplication( X, Z ),
% 253.83/254.22 multiplication( Y, Z ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := domain( X )
% 253.83/254.22 Y := antidomain( X )
% 253.83/254.22 Z := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178471) {G1,W15,D4,L2,V2,M2} { multiplication( antidomain( X ),
% 253.83/254.22 Y ) ==> Y, ! leq( multiplication( domain( X ), Y ), multiplication(
% 253.83/254.22 antidomain( X ), Y ) ) }.
% 253.83/254.22 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 253.83/254.22 parent1[0; 5]: (178470) {G1,W17,D4,L2,V2,M2} { multiplication( antidomain
% 253.83/254.22 ( X ), Y ) ==> multiplication( one, Y ), ! leq( multiplication( domain( X
% 253.83/254.22 ), Y ), multiplication( antidomain( X ), Y ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (1284) {G2,W15,D4,L2,V2,M2} P(18,64);d(6) { ! leq(
% 253.83/254.22 multiplication( domain( X ), Y ), multiplication( antidomain( X ), Y ) )
% 253.83/254.22 , multiplication( antidomain( X ), Y ) ==> Y }.
% 253.83/254.22 parent0: (178471) {G1,W15,D4,L2,V2,M2} { multiplication( antidomain( X ),
% 253.83/254.22 Y ) ==> Y, ! leq( multiplication( domain( X ), Y ), multiplication(
% 253.83/254.22 antidomain( X ), Y ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 1
% 253.83/254.22 1 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178474) {G2,W12,D5,L1,V2,M1} { multiplication( Y, antidomain( X )
% 253.83/254.22 ) ==> multiplication( addition( domain( X ), Y ), antidomain( X ) ) }.
% 253.83/254.22 parent0[0]: (66) {G2,W12,D5,L1,V2,M1} P(19,8);d(21) { multiplication(
% 253.83/254.22 addition( domain( X ), Y ), antidomain( X ) ) ==> multiplication( Y,
% 253.83/254.22 antidomain( X ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178476) {G2,W14,D4,L2,V2,M2} { multiplication( X, antidomain( Y
% 253.83/254.22 ) ) ==> multiplication( domain( Y ), antidomain( Y ) ), ! leq( X, domain
% 253.83/254.22 ( Y ) ) }.
% 253.83/254.22 parent0[0]: (63) {G1,W8,D3,L2,V2,M2} P(11,0) { addition( Y, X ) ==> Y, !
% 253.83/254.22 leq( X, Y ) }.
% 253.83/254.22 parent1[0; 6]: (178474) {G2,W12,D5,L1,V2,M1} { multiplication( Y,
% 253.83/254.22 antidomain( X ) ) ==> multiplication( addition( domain( X ), Y ),
% 253.83/254.22 antidomain( X ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := domain( Y )
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := Y
% 253.83/254.22 Y := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178477) {G1,W10,D4,L2,V2,M2} { multiplication( X, antidomain( Y
% 253.83/254.22 ) ) ==> zero, ! leq( X, domain( Y ) ) }.
% 253.83/254.22 parent0[0]: (19) {G0,W7,D4,L1,V1,M1} I { multiplication( domain( X ),
% 253.83/254.22 antidomain( X ) ) ==> zero }.
% 253.83/254.22 parent1[0; 5]: (178476) {G2,W14,D4,L2,V2,M2} { multiplication( X,
% 253.83/254.22 antidomain( Y ) ) ==> multiplication( domain( Y ), antidomain( Y ) ), !
% 253.83/254.22 leq( X, domain( Y ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (1347) {G3,W10,D4,L2,V2,M2} P(63,66);d(19) { ! leq( Y, domain
% 253.83/254.22 ( X ) ), multiplication( Y, antidomain( X ) ) ==> zero }.
% 253.83/254.22 parent0: (178477) {G1,W10,D4,L2,V2,M2} { multiplication( X, antidomain( Y
% 253.83/254.22 ) ) ==> zero, ! leq( X, domain( Y ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 Y := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 1
% 253.83/254.22 1 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178479) {G1,W11,D4,L1,V2,M1} { multiplication( addition( one, Y )
% 253.83/254.22 , X ) = addition( X, multiplication( Y, X ) ) }.
% 253.83/254.22 parent0[0]: (70) {G1,W11,D4,L1,V2,M1} P(6,8) { addition( X, multiplication
% 253.83/254.22 ( Y, X ) ) = multiplication( addition( one, Y ), X ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178484) {G1,W11,D5,L1,V1,M1} { multiplication( addition( one,
% 253.83/254.22 domain( X ) ), X ) = multiplication( domain( X ), X ) }.
% 253.83/254.22 parent0[0]: (13) {G0,W11,D5,L1,V1,M1} I { addition( X, multiplication(
% 253.83/254.22 domain( X ), X ) ) ==> multiplication( domain( X ), X ) }.
% 253.83/254.22 parent1[0; 7]: (178479) {G1,W11,D4,L1,V2,M1} { multiplication( addition(
% 253.83/254.22 one, Y ), X ) = addition( X, multiplication( Y, X ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := domain( X )
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178485) {G2,W8,D4,L1,V1,M1} { multiplication( one, X ) =
% 253.83/254.22 multiplication( domain( X ), X ) }.
% 253.83/254.22 parent0[0]: (22) {G1,W6,D4,L1,V1,M1} P(15,0) { addition( one, domain( X ) )
% 253.83/254.22 ==> one }.
% 253.83/254.22 parent1[0; 2]: (178484) {G1,W11,D5,L1,V1,M1} { multiplication( addition(
% 253.83/254.22 one, domain( X ) ), X ) = multiplication( domain( X ), X ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178486) {G1,W6,D4,L1,V1,M1} { X = multiplication( domain( X ), X
% 253.83/254.22 ) }.
% 253.83/254.22 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 253.83/254.22 parent1[0; 1]: (178485) {G2,W8,D4,L1,V1,M1} { multiplication( one, X ) =
% 253.83/254.22 multiplication( domain( X ), X ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178487) {G1,W6,D4,L1,V1,M1} { multiplication( domain( X ), X ) =
% 253.83/254.22 X }.
% 253.83/254.22 parent0[0]: (178486) {G1,W6,D4,L1,V1,M1} { X = multiplication( domain( X )
% 253.83/254.22 , X ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (1551) {G2,W6,D4,L1,V1,M1} P(70,13);d(22);d(6) {
% 253.83/254.22 multiplication( domain( X ), X ) ==> X }.
% 253.83/254.22 parent0: (178487) {G1,W6,D4,L1,V1,M1} { multiplication( domain( X ), X ) =
% 253.83/254.22 X }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178489) {G3,W6,D4,L1,V1,M1} { leq( antidomain( X ), domain(
% 253.83/254.22 antidomain( X ) ) ) }.
% 253.83/254.22 parent0[0]: (1551) {G2,W6,D4,L1,V1,M1} P(70,13);d(22);d(6) { multiplication
% 253.83/254.22 ( domain( X ), X ) ==> X }.
% 253.83/254.22 parent1[0; 1]: (461) {G3,W6,D4,L1,V2,M1} P(225,43);q;d(5) { leq(
% 253.83/254.22 multiplication( Y, antidomain( X ) ), Y ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := antidomain( X )
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := domain( antidomain( X ) )
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (1568) {G4,W6,D4,L1,V1,M1} P(1551,461) { leq( antidomain( X )
% 253.83/254.22 , domain( antidomain( X ) ) ) }.
% 253.83/254.22 parent0: (178489) {G3,W6,D4,L1,V1,M1} { leq( antidomain( X ), domain(
% 253.83/254.22 antidomain( X ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178491) {G3,W12,D4,L2,V2,M2} { zero ==> multiplication( X, domain
% 253.83/254.22 ( Y ) ), ! leq( domain( multiplication( X, Y ) ), zero ) }.
% 253.83/254.22 parent0[1]: (828) {G3,W12,D4,L2,V2,M2} P(14,122) { ! leq( domain(
% 253.83/254.22 multiplication( X, Y ) ), zero ), multiplication( X, domain( Y ) ) ==>
% 253.83/254.22 zero }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178493) {G1,W12,D5,L2,V1,M2} { ! leq( domain( zero ), zero ),
% 253.83/254.22 zero ==> multiplication( domain( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.22 parent0[0]: (19) {G0,W7,D4,L1,V1,M1} I { multiplication( domain( X ),
% 253.83/254.22 antidomain( X ) ) ==> zero }.
% 253.83/254.22 parent1[1; 3]: (178491) {G3,W12,D4,L2,V2,M2} { zero ==> multiplication( X
% 253.83/254.22 , domain( Y ) ), ! leq( domain( multiplication( X, Y ) ), zero ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := domain( X )
% 253.83/254.22 Y := antidomain( X )
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178494) {G1,W11,D5,L2,V1,M2} { ! leq( zero, zero ), zero ==>
% 253.83/254.22 multiplication( domain( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.22 parent0[0]: (16) {G0,W4,D3,L1,V0,M1} I { domain( zero ) ==> zero }.
% 253.83/254.22 parent1[0; 2]: (178493) {G1,W12,D5,L2,V1,M2} { ! leq( domain( zero ), zero
% 253.83/254.22 ), zero ==> multiplication( domain( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 resolution: (178495) {G2,W8,D5,L1,V1,M1} { zero ==> multiplication( domain
% 253.83/254.22 ( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.22 parent0[0]: (178494) {G1,W11,D5,L2,V1,M2} { ! leq( zero, zero ), zero ==>
% 253.83/254.22 multiplication( domain( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.22 parent1[0]: (36) {G1,W3,D2,L1,V1,M1} R(12,3) { leq( X, X ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := zero
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178496) {G2,W8,D5,L1,V1,M1} { multiplication( domain( X ), domain
% 253.83/254.22 ( antidomain( X ) ) ) ==> zero }.
% 253.83/254.22 parent0[0]: (178495) {G2,W8,D5,L1,V1,M1} { zero ==> multiplication( domain
% 253.83/254.22 ( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (79735) {G4,W8,D5,L1,V1,M1} P(19,828);d(16);r(36) {
% 253.83/254.22 multiplication( domain( X ), domain( antidomain( X ) ) ) ==> zero }.
% 253.83/254.22 parent0: (178496) {G2,W8,D5,L1,V1,M1} { multiplication( domain( X ),
% 253.83/254.22 domain( antidomain( X ) ) ) ==> zero }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178498) {G2,W15,D4,L2,V2,M2} { X ==> multiplication( X,
% 253.83/254.22 antidomain( Y ) ), ! leq( multiplication( X, domain( Y ) ),
% 253.83/254.22 multiplication( X, antidomain( Y ) ) ) }.
% 253.83/254.22 parent0[1]: (875) {G2,W15,D4,L2,V2,M2} P(18,56);d(5) { ! leq(
% 253.83/254.22 multiplication( Y, domain( X ) ), multiplication( Y, antidomain( X ) ) )
% 253.83/254.22 , multiplication( Y, antidomain( X ) ) ==> Y }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 Y := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178499) {G3,W17,D5,L2,V1,M2} { ! leq( zero, multiplication(
% 253.83/254.22 domain( X ), antidomain( antidomain( X ) ) ) ), domain( X ) ==>
% 253.83/254.22 multiplication( domain( X ), antidomain( antidomain( X ) ) ) }.
% 253.83/254.22 parent0[0]: (79735) {G4,W8,D5,L1,V1,M1} P(19,828);d(16);r(36) {
% 253.83/254.22 multiplication( domain( X ), domain( antidomain( X ) ) ) ==> zero }.
% 253.83/254.22 parent1[1; 2]: (178498) {G2,W15,D4,L2,V2,M2} { X ==> multiplication( X,
% 253.83/254.22 antidomain( Y ) ), ! leq( multiplication( X, domain( Y ) ),
% 253.83/254.22 multiplication( X, antidomain( Y ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := domain( X )
% 253.83/254.22 Y := antidomain( X )
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 resolution: (178500) {G3,W9,D5,L1,V1,M1} { domain( X ) ==> multiplication
% 253.83/254.22 ( domain( X ), antidomain( antidomain( X ) ) ) }.
% 253.83/254.22 parent0[0]: (178499) {G3,W17,D5,L2,V1,M2} { ! leq( zero, multiplication(
% 253.83/254.22 domain( X ), antidomain( antidomain( X ) ) ) ), domain( X ) ==>
% 253.83/254.22 multiplication( domain( X ), antidomain( antidomain( X ) ) ) }.
% 253.83/254.22 parent1[0]: (35) {G2,W3,D2,L1,V1,M1} R(12,21) { leq( zero, X ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := multiplication( domain( X ), antidomain( antidomain( X ) ) )
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178501) {G3,W9,D5,L1,V1,M1} { multiplication( domain( X ),
% 253.83/254.22 antidomain( antidomain( X ) ) ) ==> domain( X ) }.
% 253.83/254.22 parent0[0]: (178500) {G3,W9,D5,L1,V1,M1} { domain( X ) ==> multiplication
% 253.83/254.22 ( domain( X ), antidomain( antidomain( X ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (86771) {G5,W9,D5,L1,V1,M1} P(79735,875);r(35) {
% 253.83/254.22 multiplication( domain( X ), antidomain( antidomain( X ) ) ) ==> domain(
% 253.83/254.22 X ) }.
% 253.83/254.22 parent0: (178501) {G3,W9,D5,L1,V1,M1} { multiplication( domain( X ),
% 253.83/254.22 antidomain( antidomain( X ) ) ) ==> domain( X ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178503) {G2,W15,D4,L2,V2,M2} { Y ==> multiplication( antidomain(
% 253.83/254.22 X ), Y ), ! leq( multiplication( domain( X ), Y ), multiplication(
% 253.83/254.22 antidomain( X ), Y ) ) }.
% 253.83/254.22 parent0[1]: (1284) {G2,W15,D4,L2,V2,M2} P(18,64);d(6) { ! leq(
% 253.83/254.22 multiplication( domain( X ), Y ), multiplication( antidomain( X ), Y ) )
% 253.83/254.22 , multiplication( antidomain( X ), Y ) ==> Y }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 Y := Y
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 paramod: (178504) {G3,W18,D5,L2,V1,M2} { ! leq( zero, multiplication(
% 253.83/254.22 antidomain( X ), domain( antidomain( X ) ) ) ), domain( antidomain( X ) )
% 253.83/254.22 ==> multiplication( antidomain( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.22 parent0[0]: (79735) {G4,W8,D5,L1,V1,M1} P(19,828);d(16);r(36) {
% 253.83/254.22 multiplication( domain( X ), domain( antidomain( X ) ) ) ==> zero }.
% 253.83/254.22 parent1[1; 2]: (178503) {G2,W15,D4,L2,V2,M2} { Y ==> multiplication(
% 253.83/254.22 antidomain( X ), Y ), ! leq( multiplication( domain( X ), Y ),
% 253.83/254.22 multiplication( antidomain( X ), Y ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := X
% 253.83/254.22 Y := domain( antidomain( X ) )
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 resolution: (178505) {G3,W10,D5,L1,V1,M1} { domain( antidomain( X ) ) ==>
% 253.83/254.22 multiplication( antidomain( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.22 parent0[0]: (178504) {G3,W18,D5,L2,V1,M2} { ! leq( zero, multiplication(
% 253.83/254.22 antidomain( X ), domain( antidomain( X ) ) ) ), domain( antidomain( X ) )
% 253.83/254.22 ==> multiplication( antidomain( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.22 parent1[0]: (35) {G2,W3,D2,L1,V1,M1} R(12,21) { leq( zero, X ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 substitution1:
% 253.83/254.22 X := multiplication( antidomain( X ), domain( antidomain( X ) ) )
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178506) {G3,W10,D5,L1,V1,M1} { multiplication( antidomain( X ),
% 253.83/254.22 domain( antidomain( X ) ) ) ==> domain( antidomain( X ) ) }.
% 253.83/254.22 parent0[0]: (178505) {G3,W10,D5,L1,V1,M1} { domain( antidomain( X ) ) ==>
% 253.83/254.22 multiplication( antidomain( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 subsumption: (161885) {G5,W10,D5,L1,V1,M1} P(79735,1284);r(35) {
% 253.83/254.22 multiplication( antidomain( X ), domain( antidomain( X ) ) ) ==> domain(
% 253.83/254.22 antidomain( X ) ) }.
% 253.83/254.22 parent0: (178506) {G3,W10,D5,L1,V1,M1} { multiplication( antidomain( X ),
% 253.83/254.22 domain( antidomain( X ) ) ) ==> domain( antidomain( X ) ) }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := X
% 253.83/254.22 end
% 253.83/254.22 permutation0:
% 253.83/254.22 0 ==> 0
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 eqswap: (178507) {G3,W10,D4,L2,V2,M2} { zero ==> multiplication( X,
% 253.83/254.22 antidomain( Y ) ), ! leq( X, domain( Y ) ) }.
% 253.83/254.22 parent0[1]: (1347) {G3,W10,D4,L2,V2,M2} P(63,66);d(19) { ! leq( Y, domain(
% 253.83/254.22 X ) ), multiplication( Y, antidomain( X ) ) ==> zero }.
% 253.83/254.22 substitution0:
% 253.83/254.22 X := Y
% 253.83/254.22 Y := X
% 253.83/254.22 end
% 253.83/254.22
% 253.83/254.22 resolution: (178508) {G4,W8,D5,L1,V1,M1} { zero ==> multiplication(
% 253.83/254.22 antidomain( X ), antidomain( antidomain( X ) ) ) }.
% 253.83/254.22 parent0[1]: (178507) {G3,W10,D4,L2,V2,M2} { zero ==> multiplication( X,
% 253.83/254.22 antidomain( Y ) ), ! leq( X, domain( Y ) ) }.
% 253.83/254.23 parent1[0]: (1568) {G4,W6,D4,L1,V1,M1} P(1551,461) { leq( antidomain( X ),
% 253.83/254.23 domain( antidomain( X ) ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := antidomain( X )
% 253.83/254.23 Y := antidomain( X )
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 eqswap: (178509) {G4,W8,D5,L1,V1,M1} { multiplication( antidomain( X ),
% 253.83/254.23 antidomain( antidomain( X ) ) ) ==> zero }.
% 253.83/254.23 parent0[0]: (178508) {G4,W8,D5,L1,V1,M1} { zero ==> multiplication(
% 253.83/254.23 antidomain( X ), antidomain( antidomain( X ) ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 subsumption: (173481) {G5,W8,D5,L1,V1,M1} R(1347,1568) { multiplication(
% 253.83/254.23 antidomain( X ), antidomain( antidomain( X ) ) ) ==> zero }.
% 253.83/254.23 parent0: (178509) {G4,W8,D5,L1,V1,M1} { multiplication( antidomain( X ),
% 253.83/254.23 antidomain( antidomain( X ) ) ) ==> zero }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 permutation0:
% 253.83/254.23 0 ==> 0
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 eqswap: (178511) {G2,W15,D4,L2,V2,M2} { Y ==> multiplication( domain( X )
% 253.83/254.23 , Y ), ! leq( multiplication( antidomain( X ), Y ), multiplication(
% 253.83/254.23 domain( X ), Y ) ) }.
% 253.83/254.23 parent0[1]: (1283) {G2,W15,D4,L2,V2,M2} P(30,64);d(6) { ! leq(
% 253.83/254.23 multiplication( antidomain( X ), Y ), multiplication( domain( X ), Y ) )
% 253.83/254.23 , multiplication( domain( X ), Y ) ==> Y }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 Y := Y
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178514) {G3,W18,D5,L2,V1,M2} { ! leq( zero, multiplication(
% 253.83/254.23 domain( X ), antidomain( antidomain( X ) ) ) ), antidomain( antidomain( X
% 253.83/254.23 ) ) ==> multiplication( domain( X ), antidomain( antidomain( X ) ) ) }.
% 253.83/254.23 parent0[0]: (173481) {G5,W8,D5,L1,V1,M1} R(1347,1568) { multiplication(
% 253.83/254.23 antidomain( X ), antidomain( antidomain( X ) ) ) ==> zero }.
% 253.83/254.23 parent1[1; 2]: (178511) {G2,W15,D4,L2,V2,M2} { Y ==> multiplication(
% 253.83/254.23 domain( X ), Y ), ! leq( multiplication( antidomain( X ), Y ),
% 253.83/254.23 multiplication( domain( X ), Y ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := X
% 253.83/254.23 Y := antidomain( antidomain( X ) )
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178516) {G4,W14,D5,L2,V1,M2} { antidomain( antidomain( X ) ) ==>
% 253.83/254.23 domain( X ), ! leq( zero, multiplication( domain( X ), antidomain(
% 253.83/254.23 antidomain( X ) ) ) ) }.
% 253.83/254.23 parent0[0]: (86771) {G5,W9,D5,L1,V1,M1} P(79735,875);r(35) { multiplication
% 253.83/254.23 ( domain( X ), antidomain( antidomain( X ) ) ) ==> domain( X ) }.
% 253.83/254.23 parent1[1; 4]: (178514) {G3,W18,D5,L2,V1,M2} { ! leq( zero, multiplication
% 253.83/254.23 ( domain( X ), antidomain( antidomain( X ) ) ) ), antidomain( antidomain
% 253.83/254.23 ( X ) ) ==> multiplication( domain( X ), antidomain( antidomain( X ) ) )
% 253.83/254.23 }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178518) {G5,W10,D4,L2,V1,M2} { ! leq( zero, domain( X ) ),
% 253.83/254.23 antidomain( antidomain( X ) ) ==> domain( X ) }.
% 253.83/254.23 parent0[0]: (86771) {G5,W9,D5,L1,V1,M1} P(79735,875);r(35) { multiplication
% 253.83/254.23 ( domain( X ), antidomain( antidomain( X ) ) ) ==> domain( X ) }.
% 253.83/254.23 parent1[1; 3]: (178516) {G4,W14,D5,L2,V1,M2} { antidomain( antidomain( X )
% 253.83/254.23 ) ==> domain( X ), ! leq( zero, multiplication( domain( X ), antidomain
% 253.83/254.23 ( antidomain( X ) ) ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 resolution: (178519) {G3,W6,D4,L1,V1,M1} { antidomain( antidomain( X ) )
% 253.83/254.23 ==> domain( X ) }.
% 253.83/254.23 parent0[0]: (178518) {G5,W10,D4,L2,V1,M2} { ! leq( zero, domain( X ) ),
% 253.83/254.23 antidomain( antidomain( X ) ) ==> domain( X ) }.
% 253.83/254.23 parent1[0]: (35) {G2,W3,D2,L1,V1,M1} R(12,21) { leq( zero, X ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := domain( X )
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 subsumption: (173556) {G6,W6,D4,L1,V1,M1} P(173481,1283);d(86771);d(86771);
% 253.83/254.23 r(35) { antidomain( antidomain( X ) ) ==> domain( X ) }.
% 253.83/254.23 parent0: (178519) {G3,W6,D4,L1,V1,M1} { antidomain( antidomain( X ) ) ==>
% 253.83/254.23 domain( X ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 permutation0:
% 253.83/254.23 0 ==> 0
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 eqswap: (178522) {G2,W15,D4,L2,V2,M2} { X ==> multiplication( X, domain( Y
% 253.83/254.23 ) ), ! leq( multiplication( X, antidomain( Y ) ), multiplication( X,
% 253.83/254.23 domain( Y ) ) ) }.
% 253.83/254.23 parent0[1]: (874) {G2,W15,D4,L2,V2,M2} P(30,56);d(5) { ! leq(
% 253.83/254.23 multiplication( Y, antidomain( X ) ), multiplication( Y, domain( X ) ) )
% 253.83/254.23 , multiplication( Y, domain( X ) ) ==> Y }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := Y
% 253.83/254.23 Y := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178525) {G3,W17,D5,L2,V1,M2} { ! leq( zero, multiplication(
% 253.83/254.23 antidomain( X ), domain( antidomain( X ) ) ) ), antidomain( X ) ==>
% 253.83/254.23 multiplication( antidomain( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.23 parent0[0]: (173481) {G5,W8,D5,L1,V1,M1} R(1347,1568) { multiplication(
% 253.83/254.23 antidomain( X ), antidomain( antidomain( X ) ) ) ==> zero }.
% 253.83/254.23 parent1[1; 2]: (178522) {G2,W15,D4,L2,V2,M2} { X ==> multiplication( X,
% 253.83/254.23 domain( Y ) ), ! leq( multiplication( X, antidomain( Y ) ),
% 253.83/254.23 multiplication( X, domain( Y ) ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := antidomain( X )
% 253.83/254.23 Y := antidomain( X )
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178527) {G4,W14,D5,L2,V1,M2} { antidomain( X ) ==> domain(
% 253.83/254.23 antidomain( X ) ), ! leq( zero, multiplication( antidomain( X ), domain(
% 253.83/254.23 antidomain( X ) ) ) ) }.
% 253.83/254.23 parent0[0]: (161885) {G5,W10,D5,L1,V1,M1} P(79735,1284);r(35) {
% 253.83/254.23 multiplication( antidomain( X ), domain( antidomain( X ) ) ) ==> domain(
% 253.83/254.23 antidomain( X ) ) }.
% 253.83/254.23 parent1[1; 3]: (178525) {G3,W17,D5,L2,V1,M2} { ! leq( zero, multiplication
% 253.83/254.23 ( antidomain( X ), domain( antidomain( X ) ) ) ), antidomain( X ) ==>
% 253.83/254.23 multiplication( antidomain( X ), domain( antidomain( X ) ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178529) {G5,W11,D4,L2,V1,M2} { ! leq( zero, domain( antidomain(
% 253.83/254.23 X ) ) ), antidomain( X ) ==> domain( antidomain( X ) ) }.
% 253.83/254.23 parent0[0]: (161885) {G5,W10,D5,L1,V1,M1} P(79735,1284);r(35) {
% 253.83/254.23 multiplication( antidomain( X ), domain( antidomain( X ) ) ) ==> domain(
% 253.83/254.23 antidomain( X ) ) }.
% 253.83/254.23 parent1[1; 3]: (178527) {G4,W14,D5,L2,V1,M2} { antidomain( X ) ==> domain
% 253.83/254.23 ( antidomain( X ) ), ! leq( zero, multiplication( antidomain( X ), domain
% 253.83/254.23 ( antidomain( X ) ) ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 resolution: (178530) {G3,W6,D4,L1,V1,M1} { antidomain( X ) ==> domain(
% 253.83/254.23 antidomain( X ) ) }.
% 253.83/254.23 parent0[0]: (178529) {G5,W11,D4,L2,V1,M2} { ! leq( zero, domain(
% 253.83/254.23 antidomain( X ) ) ), antidomain( X ) ==> domain( antidomain( X ) ) }.
% 253.83/254.23 parent1[0]: (35) {G2,W3,D2,L1,V1,M1} R(12,21) { leq( zero, X ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := domain( antidomain( X ) )
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 eqswap: (178531) {G3,W6,D4,L1,V1,M1} { domain( antidomain( X ) ) ==>
% 253.83/254.23 antidomain( X ) }.
% 253.83/254.23 parent0[0]: (178530) {G3,W6,D4,L1,V1,M1} { antidomain( X ) ==> domain(
% 253.83/254.23 antidomain( X ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 subsumption: (173559) {G6,W6,D4,L1,V1,M1} P(173481,874);d(161885);d(161885)
% 253.83/254.23 ;r(35) { domain( antidomain( X ) ) ==> antidomain( X ) }.
% 253.83/254.23 parent0: (178531) {G3,W6,D4,L1,V1,M1} { domain( antidomain( X ) ) ==>
% 253.83/254.23 antidomain( X ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 permutation0:
% 253.83/254.23 0 ==> 0
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 eqswap: (178532) {G6,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 253.83/254.23 antidomain( X ) ) }.
% 253.83/254.23 parent0[0]: (173556) {G6,W6,D4,L1,V1,M1} P(173481,1283);d(86771);d(86771);r
% 253.83/254.23 (35) { antidomain( antidomain( X ) ) ==> domain( X ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178536) {G7,W7,D4,L1,V1,M1} { domain( antidomain( X ) ) ==>
% 253.83/254.23 antidomain( domain( X ) ) }.
% 253.83/254.23 parent0[0]: (173556) {G6,W6,D4,L1,V1,M1} P(173481,1283);d(86771);d(86771);r
% 253.83/254.23 (35) { antidomain( antidomain( X ) ) ==> domain( X ) }.
% 253.83/254.23 parent1[0; 5]: (178532) {G6,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 253.83/254.23 antidomain( X ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := antidomain( X )
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178537) {G7,W6,D4,L1,V1,M1} { antidomain( X ) ==> antidomain(
% 253.83/254.23 domain( X ) ) }.
% 253.83/254.23 parent0[0]: (173559) {G6,W6,D4,L1,V1,M1} P(173481,874);d(161885);d(161885);
% 253.83/254.23 r(35) { domain( antidomain( X ) ) ==> antidomain( X ) }.
% 253.83/254.23 parent1[0; 1]: (178536) {G7,W7,D4,L1,V1,M1} { domain( antidomain( X ) )
% 253.83/254.23 ==> antidomain( domain( X ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 eqswap: (178538) {G7,W6,D4,L1,V1,M1} { antidomain( domain( X ) ) ==>
% 253.83/254.23 antidomain( X ) }.
% 253.83/254.23 parent0[0]: (178537) {G7,W6,D4,L1,V1,M1} { antidomain( X ) ==> antidomain
% 253.83/254.23 ( domain( X ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 subsumption: (173578) {G7,W6,D4,L1,V1,M1} P(173556,173556);d(173559) {
% 253.83/254.23 antidomain( domain( X ) ) ==> antidomain( X ) }.
% 253.83/254.23 parent0: (178538) {G7,W6,D4,L1,V1,M1} { antidomain( domain( X ) ) ==>
% 253.83/254.23 antidomain( X ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23 permutation0:
% 253.83/254.23 0 ==> 0
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 eqswap: (178540) {G7,W6,D4,L1,V1,M1} { antidomain( X ) ==> antidomain(
% 253.83/254.23 domain( X ) ) }.
% 253.83/254.23 parent0[0]: (173578) {G7,W6,D4,L1,V1,M1} P(173556,173556);d(173559) {
% 253.83/254.23 antidomain( domain( X ) ) ==> antidomain( X ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178542) {G1,W11,D5,L1,V2,M1} { antidomain( multiplication( X,
% 253.83/254.23 domain( Y ) ) ) ==> antidomain( domain( multiplication( X, Y ) ) ) }.
% 253.83/254.23 parent0[0]: (14) {G0,W10,D5,L1,V2,M1} I { domain( multiplication( X, domain
% 253.83/254.23 ( Y ) ) ) ==> domain( multiplication( X, Y ) ) }.
% 253.83/254.23 parent1[0; 7]: (178540) {G7,W6,D4,L1,V1,M1} { antidomain( X ) ==>
% 253.83/254.23 antidomain( domain( X ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 Y := Y
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := multiplication( X, domain( Y ) )
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178543) {G2,W10,D5,L1,V2,M1} { antidomain( multiplication( X,
% 253.83/254.23 domain( Y ) ) ) ==> antidomain( multiplication( X, Y ) ) }.
% 253.83/254.23 parent0[0]: (173578) {G7,W6,D4,L1,V1,M1} P(173556,173556);d(173559) {
% 253.83/254.23 antidomain( domain( X ) ) ==> antidomain( X ) }.
% 253.83/254.23 parent1[0; 6]: (178542) {G1,W11,D5,L1,V2,M1} { antidomain( multiplication
% 253.83/254.23 ( X, domain( Y ) ) ) ==> antidomain( domain( multiplication( X, Y ) ) )
% 253.83/254.23 }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := multiplication( X, Y )
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 X := X
% 253.83/254.23 Y := Y
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 subsumption: (173697) {G8,W10,D5,L1,V2,M1} P(14,173578);d(173578) {
% 253.83/254.23 antidomain( multiplication( X, domain( Y ) ) ) ==> antidomain(
% 253.83/254.23 multiplication( X, Y ) ) }.
% 253.83/254.23 parent0: (178543) {G2,W10,D5,L1,V2,M1} { antidomain( multiplication( X,
% 253.83/254.23 domain( Y ) ) ) ==> antidomain( multiplication( X, Y ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := X
% 253.83/254.23 Y := Y
% 253.83/254.23 end
% 253.83/254.23 permutation0:
% 253.83/254.23 0 ==> 0
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178549) {G2,W15,D6,L1,V0,M1} { ! addition( antidomain(
% 253.83/254.23 multiplication( skol1, domain( skol2 ) ) ), antidomain( multiplication(
% 253.83/254.23 skol1, skol2 ) ) ) ==> antidomain( multiplication( skol1, skol2 ) ) }.
% 253.83/254.23 parent0[0]: (173697) {G8,W10,D5,L1,V2,M1} P(14,173578);d(173578) {
% 253.83/254.23 antidomain( multiplication( X, domain( Y ) ) ) ==> antidomain(
% 253.83/254.23 multiplication( X, Y ) ) }.
% 253.83/254.23 parent1[0; 12]: (211) {G1,W16,D6,L1,V0,M1} P(0,20) { ! addition( antidomain
% 253.83/254.23 ( multiplication( skol1, domain( skol2 ) ) ), antidomain( multiplication
% 253.83/254.23 ( skol1, skol2 ) ) ) ==> antidomain( multiplication( skol1, domain( skol2
% 253.83/254.23 ) ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := skol1
% 253.83/254.23 Y := skol2
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178550) {G3,W14,D5,L1,V0,M1} { ! addition( antidomain(
% 253.83/254.23 multiplication( skol1, skol2 ) ), antidomain( multiplication( skol1,
% 253.83/254.23 skol2 ) ) ) ==> antidomain( multiplication( skol1, skol2 ) ) }.
% 253.83/254.23 parent0[0]: (173697) {G8,W10,D5,L1,V2,M1} P(14,173578);d(173578) {
% 253.83/254.23 antidomain( multiplication( X, domain( Y ) ) ) ==> antidomain(
% 253.83/254.23 multiplication( X, Y ) ) }.
% 253.83/254.23 parent1[0; 3]: (178549) {G2,W15,D6,L1,V0,M1} { ! addition( antidomain(
% 253.83/254.23 multiplication( skol1, domain( skol2 ) ) ), antidomain( multiplication(
% 253.83/254.23 skol1, skol2 ) ) ) ==> antidomain( multiplication( skol1, skol2 ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := skol1
% 253.83/254.23 Y := skol2
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 paramod: (178551) {G1,W9,D4,L1,V0,M1} { ! antidomain( multiplication(
% 253.83/254.23 skol1, skol2 ) ) ==> antidomain( multiplication( skol1, skol2 ) ) }.
% 253.83/254.23 parent0[0]: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 253.83/254.23 parent1[0; 2]: (178550) {G3,W14,D5,L1,V0,M1} { ! addition( antidomain(
% 253.83/254.23 multiplication( skol1, skol2 ) ), antidomain( multiplication( skol1,
% 253.83/254.23 skol2 ) ) ) ==> antidomain( multiplication( skol1, skol2 ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 X := antidomain( multiplication( skol1, skol2 ) )
% 253.83/254.23 end
% 253.83/254.23 substitution1:
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 eqrefl: (178552) {G0,W0,D0,L0,V0,M0} { }.
% 253.83/254.23 parent0[0]: (178551) {G1,W9,D4,L1,V0,M1} { ! antidomain( multiplication(
% 253.83/254.23 skol1, skol2 ) ) ==> antidomain( multiplication( skol1, skol2 ) ) }.
% 253.83/254.23 substitution0:
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 subsumption: (174090) {G9,W0,D0,L0,V0,M0} S(211);d(173697);d(3);q { }.
% 253.83/254.23 parent0: (178552) {G0,W0,D0,L0,V0,M0} { }.
% 253.83/254.23 substitution0:
% 253.83/254.23 end
% 253.83/254.23 permutation0:
% 253.83/254.23 end
% 253.83/254.23
% 253.83/254.23 Proof check complete!
% 253.83/254.23
% 253.83/254.23 Memory use:
% 253.83/254.23
% 253.83/254.23 space for terms: 2630745
% 253.83/254.23 space for clauses: 7597013
% 253.83/254.23
% 253.83/254.23
% 253.83/254.23 clauses generated: 3327890
% 253.83/254.23 clauses kept: 174091
% 253.83/254.23 clauses selected: 3764
% 253.83/254.23 clauses deleted: 18273
% 253.83/254.23 clauses inuse deleted: 1053
% 253.83/254.23
% 253.83/254.23 subsentry: 94538187
% 253.83/254.23 literals s-matched: 21651819
% 253.83/254.23 literals matched: 19391260
% 253.83/254.23 full subsumption: 8064776
% 253.83/254.23
% 253.83/254.23 checksum: 1602297957
% 253.83/254.23
% 253.83/254.23
% 253.83/254.23 Bliksem ended
%------------------------------------------------------------------------------