TSTP Solution File: KLE131+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KLE131+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 01:37:21 EDT 2022
% Result : Theorem 118.85s 119.25s
% Output : Refutation 118.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE131+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 16 09:48:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 8.12/8.55 *** allocated 10000 integers for termspace/termends
% 8.12/8.55 *** allocated 10000 integers for clauses
% 8.12/8.55 *** allocated 10000 integers for justifications
% 8.12/8.55 Bliksem 1.12
% 8.12/8.55
% 8.12/8.55
% 8.12/8.55 Automatic Strategy Selection
% 8.12/8.55
% 8.12/8.55
% 8.12/8.55 Clauses:
% 8.12/8.55
% 8.12/8.55 { addition( X, Y ) = addition( Y, X ) }.
% 8.12/8.55 { addition( Z, addition( Y, X ) ) = addition( addition( Z, Y ), X ) }.
% 8.12/8.55 { addition( X, zero ) = X }.
% 8.12/8.55 { addition( X, X ) = X }.
% 8.12/8.55 { multiplication( X, multiplication( Y, Z ) ) = multiplication(
% 8.12/8.55 multiplication( X, Y ), Z ) }.
% 8.12/8.55 { multiplication( X, one ) = X }.
% 8.12/8.55 { multiplication( one, X ) = X }.
% 8.12/8.55 { multiplication( X, addition( Y, Z ) ) = addition( multiplication( X, Y )
% 8.12/8.55 , multiplication( X, Z ) ) }.
% 8.12/8.55 { multiplication( addition( X, Y ), Z ) = addition( multiplication( X, Z )
% 8.12/8.55 , multiplication( Y, Z ) ) }.
% 8.12/8.55 { multiplication( X, zero ) = zero }.
% 8.12/8.55 { multiplication( zero, X ) = zero }.
% 8.12/8.55 { ! leq( X, Y ), addition( X, Y ) = Y }.
% 8.12/8.55 { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 8.12/8.55 { multiplication( antidomain( X ), X ) = zero }.
% 8.12/8.55 { addition( antidomain( multiplication( X, Y ) ), antidomain(
% 8.12/8.55 multiplication( X, antidomain( antidomain( Y ) ) ) ) ) = antidomain(
% 8.12/8.55 multiplication( X, antidomain( antidomain( Y ) ) ) ) }.
% 8.12/8.55 { addition( antidomain( antidomain( X ) ), antidomain( X ) ) = one }.
% 8.12/8.55 { domain( X ) = antidomain( antidomain( X ) ) }.
% 8.12/8.55 { multiplication( X, coantidomain( X ) ) = zero }.
% 8.12/8.55 { addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 8.12/8.55 multiplication( coantidomain( coantidomain( X ) ), Y ) ) ) = coantidomain
% 8.12/8.55 ( multiplication( coantidomain( coantidomain( X ) ), Y ) ) }.
% 8.12/8.55 { addition( coantidomain( coantidomain( X ) ), coantidomain( X ) ) = one }
% 8.12/8.55 .
% 8.12/8.55 { codomain( X ) = coantidomain( coantidomain( X ) ) }.
% 8.12/8.55 { c( X ) = antidomain( domain( X ) ) }.
% 8.12/8.55 { domain_difference( X, Y ) = multiplication( domain( X ), antidomain( Y )
% 8.12/8.55 ) }.
% 8.12/8.55 { forward_diamond( X, Y ) = domain( multiplication( X, domain( Y ) ) ) }.
% 8.12/8.55 { backward_diamond( X, Y ) = codomain( multiplication( codomain( Y ), X ) )
% 8.12/8.55 }.
% 8.12/8.55 { forward_box( X, Y ) = c( forward_diamond( X, c( Y ) ) ) }.
% 8.12/8.55 { backward_box( X, Y ) = c( backward_diamond( X, c( Y ) ) ) }.
% 8.12/8.55 { forward_diamond( X, divergence( X ) ) = divergence( X ) }.
% 8.12/8.55 { ! addition( domain( X ), addition( forward_diamond( Y, domain( X ) ),
% 8.12/8.55 domain( Z ) ) ) = addition( forward_diamond( Y, domain( X ) ), domain( Z
% 8.12/8.55 ) ), addition( domain( X ), addition( divergence( Y ), forward_diamond(
% 8.12/8.55 star( Y ), domain( Z ) ) ) ) = addition( divergence( Y ), forward_diamond
% 8.12/8.55 ( star( Y ), domain( Z ) ) ) }.
% 8.12/8.55 { addition( domain( X ), forward_diamond( star( skol1 ), domain_difference
% 8.12/8.55 ( domain( X ), forward_diamond( skol1, domain( X ) ) ) ) ) =
% 8.12/8.55 forward_diamond( star( skol1 ), domain_difference( domain( X ),
% 8.12/8.55 forward_diamond( skol1, domain( X ) ) ) ) }.
% 8.12/8.55 { ! divergence( skol1 ) = zero }.
% 8.12/8.55
% 8.12/8.55 percentage equality = 0.941176, percentage horn = 1.000000
% 8.12/8.55 This is a pure equality problem
% 8.12/8.55
% 8.12/8.55
% 8.12/8.55
% 8.12/8.55 Options Used:
% 8.12/8.55
% 8.12/8.55 useres = 1
% 8.12/8.55 useparamod = 1
% 8.12/8.55 useeqrefl = 1
% 8.12/8.55 useeqfact = 1
% 8.12/8.55 usefactor = 1
% 8.12/8.55 usesimpsplitting = 0
% 8.12/8.55 usesimpdemod = 5
% 8.12/8.55 usesimpres = 3
% 8.12/8.55
% 8.12/8.55 resimpinuse = 1000
% 8.12/8.55 resimpclauses = 20000
% 8.12/8.55 substype = eqrewr
% 8.12/8.55 backwardsubs = 1
% 8.12/8.55 selectoldest = 5
% 8.12/8.55
% 8.12/8.55 litorderings [0] = split
% 8.12/8.55 litorderings [1] = extend the termordering, first sorting on arguments
% 8.12/8.55
% 8.12/8.55 termordering = kbo
% 8.12/8.55
% 8.12/8.55 litapriori = 0
% 8.12/8.55 termapriori = 1
% 8.12/8.55 litaposteriori = 0
% 8.12/8.55 termaposteriori = 0
% 8.12/8.55 demodaposteriori = 0
% 8.12/8.55 ordereqreflfact = 0
% 8.12/8.55
% 8.12/8.55 litselect = negord
% 8.12/8.55
% 8.12/8.55 maxweight = 15
% 8.12/8.55 maxdepth = 30000
% 8.12/8.55 maxlength = 115
% 8.12/8.55 maxnrvars = 195
% 8.12/8.55 excuselevel = 1
% 8.12/8.55 increasemaxweight = 1
% 8.12/8.55
% 8.12/8.55 maxselected = 10000000
% 8.12/8.55 maxnrclauses = 10000000
% 8.12/8.55
% 8.12/8.55 showgenerated = 0
% 8.12/8.55 showkept = 0
% 8.12/8.55 showselected = 0
% 8.12/8.55 showdeleted = 0
% 8.12/8.55 showresimp = 1
% 8.12/8.55 showstatus = 2000
% 8.12/8.55
% 8.12/8.55 prologoutput = 0
% 8.12/8.55 nrgoals = 5000000
% 8.12/8.55 totalproof = 1
% 8.12/8.55
% 8.12/8.55 Symbols occurring in the translation:
% 8.12/8.55
% 8.12/8.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.12/8.55 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 8.12/8.55 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 8.12/8.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.12/8.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 88.44/88.82 addition [37, 2] (w:1, o:51, a:1, s:1, b:0),
% 88.44/88.82 zero [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 88.44/88.82 multiplication [40, 2] (w:1, o:53, a:1, s:1, b:0),
% 88.44/88.82 one [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 88.44/88.82 leq [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 88.44/88.82 antidomain [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 88.44/88.82 domain [46, 1] (w:1, o:24, a:1, s:1, b:0),
% 88.44/88.82 coantidomain [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 88.44/88.82 codomain [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 88.44/88.82 c [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 88.44/88.82 domain_difference [50, 2] (w:1, o:54, a:1, s:1, b:0),
% 88.44/88.82 forward_diamond [51, 2] (w:1, o:55, a:1, s:1, b:0),
% 88.44/88.82 backward_diamond [52, 2] (w:1, o:56, a:1, s:1, b:0),
% 88.44/88.82 forward_box [53, 2] (w:1, o:57, a:1, s:1, b:0),
% 88.44/88.82 backward_box [54, 2] (w:1, o:58, a:1, s:1, b:0),
% 88.44/88.82 divergence [55, 1] (w:1, o:25, a:1, s:1, b:0),
% 88.44/88.82 star [57, 1] (w:1, o:26, a:1, s:1, b:0),
% 88.44/88.82 skol1 [58, 0] (w:1, o:14, a:1, s:1, b:1).
% 88.44/88.82
% 88.44/88.82
% 88.44/88.82 Starting Search:
% 88.44/88.82
% 88.44/88.82 *** allocated 15000 integers for clauses
% 88.44/88.82 *** allocated 22500 integers for clauses
% 88.44/88.82 *** allocated 33750 integers for clauses
% 88.44/88.82 *** allocated 50625 integers for clauses
% 88.44/88.82 *** allocated 75937 integers for clauses
% 88.44/88.82 *** allocated 15000 integers for termspace/termends
% 88.44/88.82 *** allocated 113905 integers for clauses
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 *** allocated 22500 integers for termspace/termends
% 88.44/88.82 *** allocated 170857 integers for clauses
% 88.44/88.82 *** allocated 33750 integers for termspace/termends
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 15423
% 88.44/88.82 Kept: 2000
% 88.44/88.82 Inuse: 302
% 88.44/88.82 Deleted: 98
% 88.44/88.82 Deletedinuse: 52
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 *** allocated 256285 integers for clauses
% 88.44/88.82 *** allocated 50625 integers for termspace/termends
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 37055
% 88.44/88.82 Kept: 4018
% 88.44/88.82 Inuse: 479
% 88.44/88.82 Deleted: 138
% 88.44/88.82 Deletedinuse: 66
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 *** allocated 75937 integers for termspace/termends
% 88.44/88.82 *** allocated 384427 integers for clauses
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 58211
% 88.44/88.82 Kept: 6196
% 88.44/88.82 Inuse: 600
% 88.44/88.82 Deleted: 148
% 88.44/88.82 Deletedinuse: 66
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 *** allocated 113905 integers for termspace/termends
% 88.44/88.82 *** allocated 576640 integers for clauses
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 85869
% 88.44/88.82 Kept: 8198
% 88.44/88.82 Inuse: 764
% 88.44/88.82 Deleted: 176
% 88.44/88.82 Deletedinuse: 68
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 *** allocated 170857 integers for termspace/termends
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 108983
% 88.44/88.82 Kept: 10213
% 88.44/88.82 Inuse: 800
% 88.44/88.82 Deleted: 189
% 88.44/88.82 Deletedinuse: 69
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 *** allocated 864960 integers for clauses
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 146531
% 88.44/88.82 Kept: 12272
% 88.44/88.82 Inuse: 936
% 88.44/88.82 Deleted: 241
% 88.44/88.82 Deletedinuse: 72
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 *** allocated 256285 integers for termspace/termends
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 160349
% 88.44/88.82 Kept: 14308
% 88.44/88.82 Inuse: 1015
% 88.44/88.82 Deleted: 262
% 88.44/88.82 Deletedinuse: 73
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 195469
% 88.44/88.82 Kept: 16313
% 88.44/88.82 Inuse: 1171
% 88.44/88.82 Deleted: 347
% 88.44/88.82 Deletedinuse: 102
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 *** allocated 1297440 integers for clauses
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 223691
% 88.44/88.82 Kept: 18324
% 88.44/88.82 Inuse: 1301
% 88.44/88.82 Deleted: 370
% 88.44/88.82 Deletedinuse: 103
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 *** allocated 384427 integers for termspace/termends
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 Resimplifying clauses:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 245475
% 88.44/88.82 Kept: 20352
% 88.44/88.82 Inuse: 1367
% 88.44/88.82 Deleted: 2995
% 88.44/88.82 Deletedinuse: 103
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 280331
% 88.44/88.82 Kept: 22439
% 88.44/88.82 Inuse: 1469
% 88.44/88.82 Deleted: 3005
% 88.44/88.82 Deletedinuse: 105
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82
% 88.44/88.82 Intermediate Status:
% 88.44/88.82 Generated: 320754
% 88.44/88.82 Kept: 24450
% 88.44/88.82 Inuse: 1608
% 88.44/88.82 Deleted: 3008
% 88.44/88.82 Deletedinuse: 105
% 88.44/88.82
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 88.44/88.82
% 88.44/88.82 *** allocated 1946160 integers for clauses
% 88.44/88.82 Resimplifying inuse:
% 88.44/88.82 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 356868
% 118.85/119.25 Kept: 26508
% 118.85/119.25 Inuse: 1750
% 118.85/119.25 Deleted: 3014
% 118.85/119.25 Deletedinuse: 105
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 413497
% 118.85/119.25 Kept: 28538
% 118.85/119.25 Inuse: 1895
% 118.85/119.25 Deleted: 3014
% 118.85/119.25 Deletedinuse: 105
% 118.85/119.25
% 118.85/119.25 *** allocated 576640 integers for termspace/termends
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 456514
% 118.85/119.25 Kept: 30554
% 118.85/119.25 Inuse: 1956
% 118.85/119.25 Deleted: 3014
% 118.85/119.25 Deletedinuse: 105
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 493305
% 118.85/119.25 Kept: 32906
% 118.85/119.25 Inuse: 2003
% 118.85/119.25 Deleted: 3015
% 118.85/119.25 Deletedinuse: 106
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 527113
% 118.85/119.25 Kept: 34910
% 118.85/119.25 Inuse: 2029
% 118.85/119.25 Deleted: 3017
% 118.85/119.25 Deletedinuse: 107
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 566774
% 118.85/119.25 Kept: 37357
% 118.85/119.25 Inuse: 2053
% 118.85/119.25 Deleted: 3017
% 118.85/119.25 Deletedinuse: 107
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 623969
% 118.85/119.25 Kept: 39360
% 118.85/119.25 Inuse: 2130
% 118.85/119.25 Deleted: 3031
% 118.85/119.25 Deletedinuse: 117
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 *** allocated 2919240 integers for clauses
% 118.85/119.25 Resimplifying clauses:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 672890
% 118.85/119.25 Kept: 41360
% 118.85/119.25 Inuse: 2171
% 118.85/119.25 Deleted: 4203
% 118.85/119.25 Deletedinuse: 117
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 *** allocated 864960 integers for termspace/termends
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 713702
% 118.85/119.25 Kept: 43658
% 118.85/119.25 Inuse: 2224
% 118.85/119.25 Deleted: 4203
% 118.85/119.25 Deletedinuse: 117
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 782881
% 118.85/119.25 Kept: 45752
% 118.85/119.25 Inuse: 2317
% 118.85/119.25 Deleted: 4212
% 118.85/119.25 Deletedinuse: 123
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 841785
% 118.85/119.25 Kept: 47836
% 118.85/119.25 Inuse: 2417
% 118.85/119.25 Deleted: 4214
% 118.85/119.25 Deletedinuse: 125
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 903839
% 118.85/119.25 Kept: 49913
% 118.85/119.25 Inuse: 2518
% 118.85/119.25 Deleted: 4220
% 118.85/119.25 Deletedinuse: 130
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 965314
% 118.85/119.25 Kept: 52613
% 118.85/119.25 Inuse: 2615
% 118.85/119.25 Deleted: 4231
% 118.85/119.25 Deletedinuse: 139
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1003686
% 118.85/119.25 Kept: 54627
% 118.85/119.25 Inuse: 2700
% 118.85/119.25 Deleted: 4237
% 118.85/119.25 Deletedinuse: 141
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1047824
% 118.85/119.25 Kept: 56648
% 118.85/119.25 Inuse: 2780
% 118.85/119.25 Deleted: 4270
% 118.85/119.25 Deletedinuse: 169
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 *** allocated 4378860 integers for clauses
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1112942
% 118.85/119.25 Kept: 58649
% 118.85/119.25 Inuse: 2894
% 118.85/119.25 Deleted: 4274
% 118.85/119.25 Deletedinuse: 170
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1165752
% 118.85/119.25 Kept: 60665
% 118.85/119.25 Inuse: 2973
% 118.85/119.25 Deleted: 4282
% 118.85/119.25 Deletedinuse: 172
% 118.85/119.25
% 118.85/119.25 Resimplifying clauses:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1216936
% 118.85/119.25 Kept: 62829
% 118.85/119.25 Inuse: 3041
% 118.85/119.25 Deleted: 6720
% 118.85/119.25 Deletedinuse: 173
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 *** allocated 1297440 integers for termspace/termends
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1257951
% 118.85/119.25 Kept: 64908
% 118.85/119.25 Inuse: 3096
% 118.85/119.25 Deleted: 6721
% 118.85/119.25 Deletedinuse: 174
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1325734
% 118.85/119.25 Kept: 67094
% 118.85/119.25 Inuse: 3166
% 118.85/119.25 Deleted: 6721
% 118.85/119.25 Deletedinuse: 174
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1371548
% 118.85/119.25 Kept: 69097
% 118.85/119.25 Inuse: 3237
% 118.85/119.25 Deleted: 6723
% 118.85/119.25 Deletedinuse: 176
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1437329
% 118.85/119.25 Kept: 71236
% 118.85/119.25 Inuse: 3296
% 118.85/119.25 Deleted: 6727
% 118.85/119.25 Deletedinuse: 180
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1497388
% 118.85/119.25 Kept: 73256
% 118.85/119.25 Inuse: 3325
% 118.85/119.25 Deleted: 6727
% 118.85/119.25 Deletedinuse: 180
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1576165
% 118.85/119.25 Kept: 75487
% 118.85/119.25 Inuse: 3337
% 118.85/119.25 Deleted: 6727
% 118.85/119.25 Deletedinuse: 180
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1688016
% 118.85/119.25 Kept: 86302
% 118.85/119.25 Inuse: 3347
% 118.85/119.25 Deleted: 6727
% 118.85/119.25 Deletedinuse: 180
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying clauses:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 *** allocated 6568290 integers for clauses
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1719360
% 118.85/119.25 Kept: 89959
% 118.85/119.25 Inuse: 3348
% 118.85/119.25 Deleted: 7780
% 118.85/119.25 Deletedinuse: 180
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 *** allocated 1946160 integers for termspace/termends
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1755612
% 118.85/119.25 Kept: 91986
% 118.85/119.25 Inuse: 3387
% 118.85/119.25 Deleted: 7785
% 118.85/119.25 Deletedinuse: 185
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Intermediate Status:
% 118.85/119.25 Generated: 1779269
% 118.85/119.25 Kept: 94068
% 118.85/119.25 Inuse: 3399
% 118.85/119.25 Deleted: 7785
% 118.85/119.25 Deletedinuse: 185
% 118.85/119.25
% 118.85/119.25 Resimplifying inuse:
% 118.85/119.25 Done
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Bliksems!, er is een bewijs:
% 118.85/119.25 % SZS status Theorem
% 118.85/119.25 % SZS output start Refutation
% 118.85/119.25
% 118.85/119.25 (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X ) }.
% 118.85/119.25 (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 118.85/119.25 (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 118.85/119.25 (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 118.85/119.25 (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 118.85/119.25 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 118.85/119.25 (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 118.85/119.25 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 118.85/119.25 (9) {G0,W5,D3,L1,V1,M1} I { multiplication( X, zero ) ==> zero }.
% 118.85/119.25 (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==> zero }.
% 118.85/119.25 (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y ) ==> Y }.
% 118.85/119.25 (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X, Y ) }.
% 118.85/119.25 (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X ) ==> zero
% 118.85/119.25 }.
% 118.85/119.25 (15) {G0,W8,D5,L1,V1,M1} I { addition( antidomain( antidomain( X ) ),
% 118.85/119.25 antidomain( X ) ) ==> one }.
% 118.85/119.25 (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==> domain( X )
% 118.85/119.25 }.
% 118.85/119.25 (21) {G0,W6,D4,L1,V1,M1} I { antidomain( domain( X ) ) ==> c( X ) }.
% 118.85/119.25 (22) {G0,W9,D4,L1,V2,M1} I { multiplication( domain( X ), antidomain( Y ) )
% 118.85/119.25 ==> domain_difference( X, Y ) }.
% 118.85/119.25 (23) {G0,W9,D5,L1,V2,M1} I { domain( multiplication( X, domain( Y ) ) ) ==>
% 118.85/119.25 forward_diamond( X, Y ) }.
% 118.85/119.25 (27) {G0,W7,D4,L1,V1,M1} I { forward_diamond( X, divergence( X ) ) ==>
% 118.85/119.25 divergence( X ) }.
% 118.85/119.25 (29) {G0,W24,D7,L1,V1,M1} I { addition( domain( X ), forward_diamond( star
% 118.85/119.25 ( skol1 ), domain_difference( domain( X ), forward_diamond( skol1, domain
% 118.85/119.25 ( X ) ) ) ) ) ==> forward_diamond( star( skol1 ), domain_difference(
% 118.85/119.25 domain( X ), forward_diamond( skol1, domain( X ) ) ) ) }.
% 118.85/119.25 (30) {G0,W4,D3,L1,V0,M1} I { ! divergence( skol1 ) ==> zero }.
% 118.85/119.25 (31) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 118.85/119.25 (41) {G1,W6,D4,L1,V1,M1} P(16,16);d(21) { domain( antidomain( X ) ) ==> c(
% 118.85/119.25 X ) }.
% 118.85/119.25 (42) {G1,W7,D4,L1,V1,M1} P(21,16) { domain( domain( X ) ) ==> antidomain( c
% 118.85/119.25 ( X ) ) }.
% 118.85/119.25 (45) {G1,W5,D3,L1,V1,M1} P(16,13);d(22) { domain_difference( X, X ) ==>
% 118.85/119.25 zero }.
% 118.85/119.25 (48) {G1,W7,D4,L1,V1,M1} P(21,13) { multiplication( c( X ), domain( X ) )
% 118.85/119.25 ==> zero }.
% 118.85/119.25 (49) {G1,W4,D3,L1,V0,M1} P(13,5) { antidomain( one ) ==> zero }.
% 118.85/119.25 (50) {G2,W5,D3,L1,V0,M1} P(49,41) { domain( zero ) ==> c( one ) }.
% 118.85/119.25 (51) {G2,W5,D3,L1,V0,M1} P(49,16) { domain( one ) ==> antidomain( zero )
% 118.85/119.25 }.
% 118.85/119.25 (52) {G2,W11,D4,L1,V2,M1} P(13,7);d(31) { multiplication( antidomain( X ),
% 118.85/119.25 addition( X, Y ) ) ==> multiplication( antidomain( X ), Y ) }.
% 118.85/119.25 (65) {G1,W10,D5,L1,V2,M1} P(13,8);d(2) { multiplication( addition( Y,
% 118.85/119.25 antidomain( X ) ), X ) ==> multiplication( Y, X ) }.
% 118.85/119.25 (86) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero ) }.
% 118.85/119.25 (136) {G2,W6,D2,L2,V1,M2} R(12,86);d(2) { zero = X, ! X = zero }.
% 118.85/119.25 (183) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X ), antidomain(
% 118.85/119.25 X ) ) ==> one }.
% 118.85/119.25 (233) {G2,W10,D4,L1,V2,M1} P(41,22) { multiplication( c( X ), antidomain( Y
% 118.85/119.25 ) ) ==> domain_difference( antidomain( X ), Y ) }.
% 118.85/119.25 (492) {G3,W4,D3,L1,V0,M1} P(51,183);d(49);d(2) { antidomain( zero ) ==> one
% 118.85/119.25 }.
% 118.85/119.25 (500) {G4,W4,D3,L1,V0,M1} P(492,41);d(51);d(492) { c( zero ) ==> one }.
% 118.85/119.25 (501) {G4,W4,D3,L1,V0,M1} P(492,16);d(49);d(50) { c( one ) ==> zero }.
% 118.85/119.25 (504) {G5,W7,D3,L2,V1,M2} P(136,500) { c( X ) ==> one, ! X = zero }.
% 118.85/119.25 (580) {G3,W7,D4,L1,V1,M1} P(183,52);d(5);d(21);d(233) { domain_difference(
% 118.85/119.25 antidomain( X ), X ) ==> c( X ) }.
% 118.85/119.25 (635) {G6,W7,D3,L2,V1,M2} P(504,48);d(6) { ! X = zero, domain( X ) ==> zero
% 118.85/119.25 }.
% 118.85/119.25 (636) {G7,W8,D3,L2,V2,M2} P(635,23);d(9);d(50);d(501) { ! X = zero,
% 118.85/119.25 forward_diamond( Y, X ) ==> zero }.
% 118.85/119.25 (643) {G8,W5,D3,L1,V1,M1} Q(636) { forward_diamond( X, zero ) ==> zero }.
% 118.85/119.25 (978) {G2,W6,D4,L1,V1,M1} P(183,65);d(6) { multiplication( domain( X ), X )
% 118.85/119.25 ==> X }.
% 118.85/119.25 (992) {G4,W5,D3,L1,V1,M1} P(978,22);d(580) { c( X ) ==> antidomain( X ) }.
% 118.85/119.25 (993) {G3,W7,D3,L2,V1,M2} P(136,978);d(10) { ! domain( X ) ==> zero, zero =
% 118.85/119.25 X }.
% 118.85/119.25 (1010) {G5,W6,D4,L1,V1,M1} S(42);d(992);d(16) { domain( domain( X ) ) ==>
% 118.85/119.25 domain( X ) }.
% 118.85/119.25 (1075) {G6,W8,D4,L1,V2,M1} P(1010,23);d(23) { forward_diamond( Y, domain( X
% 118.85/119.25 ) ) ==> forward_diamond( Y, X ) }.
% 118.85/119.25 (1076) {G6,W8,D4,L1,V2,M1} P(23,1010) { domain( forward_diamond( X, Y ) )
% 118.85/119.25 ==> forward_diamond( X, Y ) }.
% 118.85/119.25 (1077) {G6,W8,D4,L1,V2,M1} P(1010,22);d(22) { domain_difference( domain( X
% 118.85/119.25 ), Y ) ==> domain_difference( X, Y ) }.
% 118.85/119.25 (1247) {G7,W14,D5,L2,V1,M2} P(993,29);d(2);d(1076);d(1077);d(1075) { domain
% 118.85/119.25 ( X ) ==> zero, ! forward_diamond( star( skol1 ), domain_difference( X,
% 118.85/119.25 forward_diamond( skol1, X ) ) ) ==> zero }.
% 118.85/119.25 (15125) {G7,W6,D4,L1,V1,M1} P(27,1076) { domain( divergence( X ) ) ==>
% 118.85/119.25 divergence( X ) }.
% 118.85/119.25 (94490) {G9,W0,D0,L0,V0,M0} P(27,1247);d(15125);d(45);d(643);q;r(30) { }.
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 % SZS output end Refutation
% 118.85/119.25 found a proof!
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Unprocessed initial clauses:
% 118.85/119.25
% 118.85/119.25 (94492) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X ) }.
% 118.85/119.25 (94493) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) = addition
% 118.85/119.25 ( addition( Z, Y ), X ) }.
% 118.85/119.25 (94494) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 118.85/119.25 (94495) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 118.85/119.25 (94496) {G0,W11,D4,L1,V3,M1} { multiplication( X, multiplication( Y, Z ) )
% 118.85/119.25 = multiplication( multiplication( X, Y ), Z ) }.
% 118.85/119.25 (94497) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 118.85/119.25 (94498) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 118.85/119.25 (94499) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z ) ) =
% 118.85/119.25 addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 118.85/119.25 (94500) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y ), Z ) =
% 118.85/119.25 addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 118.85/119.25 (94501) {G0,W5,D3,L1,V1,M1} { multiplication( X, zero ) = zero }.
% 118.85/119.25 (94502) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero }.
% 118.85/119.25 (94503) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) = Y }.
% 118.85/119.25 (94504) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 118.85/119.25 (94505) {G0,W6,D4,L1,V1,M1} { multiplication( antidomain( X ), X ) = zero
% 118.85/119.25 }.
% 118.85/119.25 (94506) {G0,W18,D7,L1,V2,M1} { addition( antidomain( multiplication( X, Y
% 118.85/119.25 ) ), antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) )
% 118.85/119.25 = antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) }.
% 118.85/119.25 (94507) {G0,W8,D5,L1,V1,M1} { addition( antidomain( antidomain( X ) ),
% 118.85/119.25 antidomain( X ) ) = one }.
% 118.85/119.25 (94508) {G0,W6,D4,L1,V1,M1} { domain( X ) = antidomain( antidomain( X ) )
% 118.85/119.25 }.
% 118.85/119.25 (94509) {G0,W6,D4,L1,V1,M1} { multiplication( X, coantidomain( X ) ) =
% 118.85/119.25 zero }.
% 118.85/119.25 (94510) {G0,W18,D7,L1,V2,M1} { addition( coantidomain( multiplication( X,
% 118.85/119.25 Y ) ), coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y
% 118.85/119.25 ) ) ) = coantidomain( multiplication( coantidomain( coantidomain( X ) )
% 118.85/119.25 , Y ) ) }.
% 118.85/119.25 (94511) {G0,W8,D5,L1,V1,M1} { addition( coantidomain( coantidomain( X ) )
% 118.85/119.25 , coantidomain( X ) ) = one }.
% 118.85/119.25 (94512) {G0,W6,D4,L1,V1,M1} { codomain( X ) = coantidomain( coantidomain(
% 118.85/119.25 X ) ) }.
% 118.85/119.25 (94513) {G0,W6,D4,L1,V1,M1} { c( X ) = antidomain( domain( X ) ) }.
% 118.85/119.25 (94514) {G0,W9,D4,L1,V2,M1} { domain_difference( X, Y ) = multiplication(
% 118.85/119.25 domain( X ), antidomain( Y ) ) }.
% 118.85/119.25 (94515) {G0,W9,D5,L1,V2,M1} { forward_diamond( X, Y ) = domain(
% 118.85/119.25 multiplication( X, domain( Y ) ) ) }.
% 118.85/119.25 (94516) {G0,W9,D5,L1,V2,M1} { backward_diamond( X, Y ) = codomain(
% 118.85/119.25 multiplication( codomain( Y ), X ) ) }.
% 118.85/119.25 (94517) {G0,W9,D5,L1,V2,M1} { forward_box( X, Y ) = c( forward_diamond( X
% 118.85/119.25 , c( Y ) ) ) }.
% 118.85/119.25 (94518) {G0,W9,D5,L1,V2,M1} { backward_box( X, Y ) = c( backward_diamond(
% 118.85/119.25 X, c( Y ) ) ) }.
% 118.85/119.25 (94519) {G0,W7,D4,L1,V1,M1} { forward_diamond( X, divergence( X ) ) =
% 118.85/119.25 divergence( X ) }.
% 118.85/119.25 (94520) {G0,W38,D6,L2,V3,M2} { ! addition( domain( X ), addition(
% 118.85/119.25 forward_diamond( Y, domain( X ) ), domain( Z ) ) ) = addition(
% 118.85/119.25 forward_diamond( Y, domain( X ) ), domain( Z ) ), addition( domain( X ),
% 118.85/119.25 addition( divergence( Y ), forward_diamond( star( Y ), domain( Z ) ) ) )
% 118.85/119.25 = addition( divergence( Y ), forward_diamond( star( Y ), domain( Z ) ) )
% 118.85/119.25 }.
% 118.85/119.25 (94521) {G0,W24,D7,L1,V1,M1} { addition( domain( X ), forward_diamond(
% 118.85/119.25 star( skol1 ), domain_difference( domain( X ), forward_diamond( skol1,
% 118.85/119.25 domain( X ) ) ) ) ) = forward_diamond( star( skol1 ), domain_difference(
% 118.85/119.25 domain( X ), forward_diamond( skol1, domain( X ) ) ) ) }.
% 118.85/119.25 (94522) {G0,W4,D3,L1,V0,M1} { ! divergence( skol1 ) = zero }.
% 118.85/119.25
% 118.85/119.25
% 118.85/119.25 Total Proof:
% 118.85/119.25
% 118.85/119.25 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X
% 118.85/119.25 ) }.
% 118.85/119.25 parent0: (94492) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X )
% 118.85/119.25 }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 118.85/119.25 parent0: (94494) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 118.85/119.25 parent0: (94497) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 118.85/119.25 parent0: (94498) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94542) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y ),
% 118.85/119.25 multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 118.85/119.25 parent0[0]: (94499) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y
% 118.85/119.25 , Z ) ) = addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 Z := Z
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y )
% 118.85/119.25 , multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 118.85/119.25 parent0: (94542) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y ),
% 118.85/119.25 multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 Z := Z
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94550) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Z ),
% 118.85/119.25 multiplication( Y, Z ) ) = multiplication( addition( X, Y ), Z ) }.
% 118.85/119.25 parent0[0]: (94500) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y
% 118.85/119.25 ), Z ) = addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 Z := Z
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z )
% 118.85/119.25 , multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 118.85/119.25 parent0: (94550) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Z ),
% 118.85/119.25 multiplication( Y, Z ) ) = multiplication( addition( X, Y ), Z ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 Z := Z
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (9) {G0,W5,D3,L1,V1,M1} I { multiplication( X, zero ) ==> zero
% 118.85/119.25 }.
% 118.85/119.25 parent0: (94501) {G0,W5,D3,L1,V1,M1} { multiplication( X, zero ) = zero
% 118.85/119.25 }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (10) {G0,W5,D3,L1,V1,M1} I { multiplication( zero, X ) ==>
% 118.85/119.25 zero }.
% 118.85/119.25 parent0: (94502) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero
% 118.85/119.25 }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 118.85/119.25 ==> Y }.
% 118.85/119.25 parent0: (94503) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) = Y
% 118.85/119.25 }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 1 ==> 1
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X
% 118.85/119.25 , Y ) }.
% 118.85/119.25 parent0: (94504) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y )
% 118.85/119.25 }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 1 ==> 1
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ),
% 118.85/119.25 X ) ==> zero }.
% 118.85/119.25 parent0: (94505) {G0,W6,D4,L1,V1,M1} { multiplication( antidomain( X ), X
% 118.85/119.25 ) = zero }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (15) {G0,W8,D5,L1,V1,M1} I { addition( antidomain( antidomain
% 118.85/119.25 ( X ) ), antidomain( X ) ) ==> one }.
% 118.85/119.25 parent0: (94507) {G0,W8,D5,L1,V1,M1} { addition( antidomain( antidomain( X
% 118.85/119.25 ) ), antidomain( X ) ) = one }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94636) {G0,W6,D4,L1,V1,M1} { antidomain( antidomain( X ) ) =
% 118.85/119.25 domain( X ) }.
% 118.85/119.25 parent0[0]: (94508) {G0,W6,D4,L1,V1,M1} { domain( X ) = antidomain(
% 118.85/119.25 antidomain( X ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 118.85/119.25 domain( X ) }.
% 118.85/119.25 parent0: (94636) {G0,W6,D4,L1,V1,M1} { antidomain( antidomain( X ) ) =
% 118.85/119.25 domain( X ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94657) {G0,W6,D4,L1,V1,M1} { antidomain( domain( X ) ) = c( X )
% 118.85/119.25 }.
% 118.85/119.25 parent0[0]: (94513) {G0,W6,D4,L1,V1,M1} { c( X ) = antidomain( domain( X )
% 118.85/119.25 ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (21) {G0,W6,D4,L1,V1,M1} I { antidomain( domain( X ) ) ==> c(
% 118.85/119.25 X ) }.
% 118.85/119.25 parent0: (94657) {G0,W6,D4,L1,V1,M1} { antidomain( domain( X ) ) = c( X )
% 118.85/119.25 }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94679) {G0,W9,D4,L1,V2,M1} { multiplication( domain( X ),
% 118.85/119.25 antidomain( Y ) ) = domain_difference( X, Y ) }.
% 118.85/119.25 parent0[0]: (94514) {G0,W9,D4,L1,V2,M1} { domain_difference( X, Y ) =
% 118.85/119.25 multiplication( domain( X ), antidomain( Y ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (22) {G0,W9,D4,L1,V2,M1} I { multiplication( domain( X ),
% 118.85/119.25 antidomain( Y ) ) ==> domain_difference( X, Y ) }.
% 118.85/119.25 parent0: (94679) {G0,W9,D4,L1,V2,M1} { multiplication( domain( X ),
% 118.85/119.25 antidomain( Y ) ) = domain_difference( X, Y ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94702) {G0,W9,D5,L1,V2,M1} { domain( multiplication( X, domain( Y
% 118.85/119.25 ) ) ) = forward_diamond( X, Y ) }.
% 118.85/119.25 parent0[0]: (94515) {G0,W9,D5,L1,V2,M1} { forward_diamond( X, Y ) = domain
% 118.85/119.25 ( multiplication( X, domain( Y ) ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (23) {G0,W9,D5,L1,V2,M1} I { domain( multiplication( X, domain
% 118.85/119.25 ( Y ) ) ) ==> forward_diamond( X, Y ) }.
% 118.85/119.25 parent0: (94702) {G0,W9,D5,L1,V2,M1} { domain( multiplication( X, domain(
% 118.85/119.25 Y ) ) ) = forward_diamond( X, Y ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := Y
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (27) {G0,W7,D4,L1,V1,M1} I { forward_diamond( X, divergence( X
% 118.85/119.25 ) ) ==> divergence( X ) }.
% 118.85/119.25 parent0: (94519) {G0,W7,D4,L1,V1,M1} { forward_diamond( X, divergence( X )
% 118.85/119.25 ) = divergence( X ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (29) {G0,W24,D7,L1,V1,M1} I { addition( domain( X ),
% 118.85/119.25 forward_diamond( star( skol1 ), domain_difference( domain( X ),
% 118.85/119.25 forward_diamond( skol1, domain( X ) ) ) ) ) ==> forward_diamond( star(
% 118.85/119.25 skol1 ), domain_difference( domain( X ), forward_diamond( skol1, domain(
% 118.85/119.25 X ) ) ) ) }.
% 118.85/119.25 parent0: (94521) {G0,W24,D7,L1,V1,M1} { addition( domain( X ),
% 118.85/119.25 forward_diamond( star( skol1 ), domain_difference( domain( X ),
% 118.85/119.25 forward_diamond( skol1, domain( X ) ) ) ) ) = forward_diamond( star(
% 118.85/119.25 skol1 ), domain_difference( domain( X ), forward_diamond( skol1, domain(
% 118.85/119.25 X ) ) ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (30) {G0,W4,D3,L1,V0,M1} I { ! divergence( skol1 ) ==> zero
% 118.85/119.25 }.
% 118.85/119.25 parent0: (94522) {G0,W4,D3,L1,V0,M1} { ! divergence( skol1 ) = zero }.
% 118.85/119.25 substitution0:
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94793) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, zero ) }.
% 118.85/119.25 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 paramod: (94794) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 118.85/119.25 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 118.85/119.25 }.
% 118.85/119.25 parent1[0; 2]: (94793) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, zero ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := zero
% 118.85/119.25 end
% 118.85/119.25 substitution1:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94797) {G1,W5,D3,L1,V1,M1} { addition( zero, X ) ==> X }.
% 118.85/119.25 parent0[0]: (94794) {G1,W5,D3,L1,V1,M1} { X ==> addition( zero, X ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (31) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X
% 118.85/119.25 }.
% 118.85/119.25 parent0: (94797) {G1,W5,D3,L1,V1,M1} { addition( zero, X ) ==> X }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94798) {G0,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 118.85/119.25 antidomain( X ) ) }.
% 118.85/119.25 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 118.85/119.25 domain( X ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 paramod: (94802) {G1,W7,D4,L1,V1,M1} { domain( antidomain( X ) ) ==>
% 118.85/119.25 antidomain( domain( X ) ) }.
% 118.85/119.25 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 118.85/119.25 domain( X ) }.
% 118.85/119.25 parent1[0; 5]: (94798) {G0,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 118.85/119.25 antidomain( X ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 substitution1:
% 118.85/119.25 X := antidomain( X )
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 paramod: (94803) {G1,W6,D4,L1,V1,M1} { domain( antidomain( X ) ) ==> c( X
% 118.85/119.25 ) }.
% 118.85/119.25 parent0[0]: (21) {G0,W6,D4,L1,V1,M1} I { antidomain( domain( X ) ) ==> c( X
% 118.85/119.25 ) }.
% 118.85/119.25 parent1[0; 4]: (94802) {G1,W7,D4,L1,V1,M1} { domain( antidomain( X ) ) ==>
% 118.85/119.25 antidomain( domain( X ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 substitution1:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (41) {G1,W6,D4,L1,V1,M1} P(16,16);d(21) { domain( antidomain(
% 118.85/119.25 X ) ) ==> c( X ) }.
% 118.85/119.25 parent0: (94803) {G1,W6,D4,L1,V1,M1} { domain( antidomain( X ) ) ==> c( X
% 118.85/119.25 ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94806) {G0,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 118.85/119.25 antidomain( X ) ) }.
% 118.85/119.25 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 118.85/119.25 domain( X ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 paramod: (94807) {G1,W7,D4,L1,V1,M1} { domain( domain( X ) ) ==>
% 118.85/119.25 antidomain( c( X ) ) }.
% 118.85/119.25 parent0[0]: (21) {G0,W6,D4,L1,V1,M1} I { antidomain( domain( X ) ) ==> c( X
% 118.85/119.25 ) }.
% 118.85/119.25 parent1[0; 5]: (94806) {G0,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 118.85/119.25 antidomain( X ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 substitution1:
% 118.85/119.25 X := domain( X )
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (42) {G1,W7,D4,L1,V1,M1} P(21,16) { domain( domain( X ) ) ==>
% 118.85/119.25 antidomain( c( X ) ) }.
% 118.85/119.25 parent0: (94807) {G1,W7,D4,L1,V1,M1} { domain( domain( X ) ) ==>
% 118.85/119.25 antidomain( c( X ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94810) {G0,W6,D4,L1,V1,M1} { zero ==> multiplication( antidomain
% 118.85/119.25 ( X ), X ) }.
% 118.85/119.25 parent0[0]: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X
% 118.85/119.25 ) ==> zero }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 paramod: (94812) {G1,W7,D4,L1,V1,M1} { zero ==> multiplication( domain( X
% 118.85/119.25 ), antidomain( X ) ) }.
% 118.85/119.25 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 118.85/119.25 domain( X ) }.
% 118.85/119.25 parent1[0; 3]: (94810) {G0,W6,D4,L1,V1,M1} { zero ==> multiplication(
% 118.85/119.25 antidomain( X ), X ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 substitution1:
% 118.85/119.25 X := antidomain( X )
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 paramod: (94813) {G1,W5,D3,L1,V1,M1} { zero ==> domain_difference( X, X )
% 118.85/119.25 }.
% 118.85/119.25 parent0[0]: (22) {G0,W9,D4,L1,V2,M1} I { multiplication( domain( X ),
% 118.85/119.25 antidomain( Y ) ) ==> domain_difference( X, Y ) }.
% 118.85/119.25 parent1[0; 2]: (94812) {G1,W7,D4,L1,V1,M1} { zero ==> multiplication(
% 118.85/119.25 domain( X ), antidomain( X ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 Y := X
% 118.85/119.25 end
% 118.85/119.25 substitution1:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94814) {G1,W5,D3,L1,V1,M1} { domain_difference( X, X ) ==> zero
% 118.85/119.25 }.
% 118.85/119.25 parent0[0]: (94813) {G1,W5,D3,L1,V1,M1} { zero ==> domain_difference( X, X
% 118.85/119.25 ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (45) {G1,W5,D3,L1,V1,M1} P(16,13);d(22) { domain_difference( X
% 118.85/119.25 , X ) ==> zero }.
% 118.85/119.25 parent0: (94814) {G1,W5,D3,L1,V1,M1} { domain_difference( X, X ) ==> zero
% 118.85/119.25 }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94816) {G0,W6,D4,L1,V1,M1} { zero ==> multiplication( antidomain
% 118.85/119.25 ( X ), X ) }.
% 118.85/119.25 parent0[0]: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X
% 118.85/119.25 ) ==> zero }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 paramod: (94817) {G1,W7,D4,L1,V1,M1} { zero ==> multiplication( c( X ),
% 118.85/119.25 domain( X ) ) }.
% 118.85/119.25 parent0[0]: (21) {G0,W6,D4,L1,V1,M1} I { antidomain( domain( X ) ) ==> c( X
% 118.85/119.25 ) }.
% 118.85/119.25 parent1[0; 3]: (94816) {G0,W6,D4,L1,V1,M1} { zero ==> multiplication(
% 118.85/119.25 antidomain( X ), X ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 substitution1:
% 118.85/119.25 X := domain( X )
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94818) {G1,W7,D4,L1,V1,M1} { multiplication( c( X ), domain( X )
% 118.85/119.25 ) ==> zero }.
% 118.85/119.25 parent0[0]: (94817) {G1,W7,D4,L1,V1,M1} { zero ==> multiplication( c( X )
% 118.85/119.25 , domain( X ) ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (48) {G1,W7,D4,L1,V1,M1} P(21,13) { multiplication( c( X ),
% 118.85/119.25 domain( X ) ) ==> zero }.
% 118.85/119.25 parent0: (94818) {G1,W7,D4,L1,V1,M1} { multiplication( c( X ), domain( X )
% 118.85/119.25 ) ==> zero }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94819) {G0,W6,D4,L1,V1,M1} { zero ==> multiplication( antidomain
% 118.85/119.25 ( X ), X ) }.
% 118.85/119.25 parent0[0]: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X
% 118.85/119.25 ) ==> zero }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := X
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 paramod: (94821) {G1,W4,D3,L1,V0,M1} { zero ==> antidomain( one ) }.
% 118.85/119.25 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { multiplication( X, one ) ==> X }.
% 118.85/119.25 parent1[0; 2]: (94819) {G0,W6,D4,L1,V1,M1} { zero ==> multiplication(
% 118.85/119.25 antidomain( X ), X ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 X := antidomain( one )
% 118.85/119.25 end
% 118.85/119.25 substitution1:
% 118.85/119.25 X := one
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94822) {G1,W4,D3,L1,V0,M1} { antidomain( one ) ==> zero }.
% 118.85/119.25 parent0[0]: (94821) {G1,W4,D3,L1,V0,M1} { zero ==> antidomain( one ) }.
% 118.85/119.25 substitution0:
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 subsumption: (49) {G1,W4,D3,L1,V0,M1} P(13,5) { antidomain( one ) ==> zero
% 118.85/119.25 }.
% 118.85/119.25 parent0: (94822) {G1,W4,D3,L1,V0,M1} { antidomain( one ) ==> zero }.
% 118.85/119.25 substitution0:
% 118.85/119.25 end
% 118.85/119.25 permutation0:
% 118.85/119.25 0 ==> 0
% 118.85/119.25 end
% 118.85/119.25
% 118.85/119.25 eqswap: (94824) {G1,W6,D4,L1,V1,M1} { c( X ) ==> domain( antidomain( X ) )
% 118.85/119.26 }.
% 118.85/119.26 parent0[0]: (41) {G1,W6,D4,L1,V1,M1} P(16,16);d(21) { domain( antidomain( X
% 118.85/119.26 ) ) ==> c( X ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94825) {G2,W5,D3,L1,V0,M1} { c( one ) ==> domain( zero ) }.
% 118.85/119.26 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(13,5) { antidomain( one ) ==> zero
% 118.85/119.26 }.
% 118.85/119.26 parent1[0; 4]: (94824) {G1,W6,D4,L1,V1,M1} { c( X ) ==> domain( antidomain
% 118.85/119.26 ( X ) ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := one
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94826) {G2,W5,D3,L1,V0,M1} { domain( zero ) ==> c( one ) }.
% 118.85/119.26 parent0[0]: (94825) {G2,W5,D3,L1,V0,M1} { c( one ) ==> domain( zero ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 subsumption: (50) {G2,W5,D3,L1,V0,M1} P(49,41) { domain( zero ) ==> c( one
% 118.85/119.26 ) }.
% 118.85/119.26 parent0: (94826) {G2,W5,D3,L1,V0,M1} { domain( zero ) ==> c( one ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 end
% 118.85/119.26 permutation0:
% 118.85/119.26 0 ==> 0
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94828) {G0,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 118.85/119.26 antidomain( X ) ) }.
% 118.85/119.26 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 118.85/119.26 domain( X ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94829) {G1,W5,D3,L1,V0,M1} { domain( one ) ==> antidomain( zero
% 118.85/119.26 ) }.
% 118.85/119.26 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(13,5) { antidomain( one ) ==> zero
% 118.85/119.26 }.
% 118.85/119.26 parent1[0; 4]: (94828) {G0,W6,D4,L1,V1,M1} { domain( X ) ==> antidomain(
% 118.85/119.26 antidomain( X ) ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := one
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 subsumption: (51) {G2,W5,D3,L1,V0,M1} P(49,16) { domain( one ) ==>
% 118.85/119.26 antidomain( zero ) }.
% 118.85/119.26 parent0: (94829) {G1,W5,D3,L1,V0,M1} { domain( one ) ==> antidomain( zero
% 118.85/119.26 ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 end
% 118.85/119.26 permutation0:
% 118.85/119.26 0 ==> 0
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94832) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z )
% 118.85/119.26 ) ==> addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 118.85/119.26 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 118.85/119.26 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Y
% 118.85/119.26 Z := Z
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94835) {G1,W13,D5,L1,V2,M1} { multiplication( antidomain( X ),
% 118.85/119.26 addition( X, Y ) ) ==> addition( zero, multiplication( antidomain( X ), Y
% 118.85/119.26 ) ) }.
% 118.85/119.26 parent0[0]: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X
% 118.85/119.26 ) ==> zero }.
% 118.85/119.26 parent1[0; 8]: (94832) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition
% 118.85/119.26 ( Y, Z ) ) ==> addition( multiplication( X, Y ), multiplication( X, Z ) )
% 118.85/119.26 }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := antidomain( X )
% 118.85/119.26 Y := X
% 118.85/119.26 Z := Y
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94837) {G2,W11,D4,L1,V2,M1} { multiplication( antidomain( X ),
% 118.85/119.26 addition( X, Y ) ) ==> multiplication( antidomain( X ), Y ) }.
% 118.85/119.26 parent0[0]: (31) {G1,W5,D3,L1,V1,M1} P(2,0) { addition( zero, X ) ==> X }.
% 118.85/119.26 parent1[0; 7]: (94835) {G1,W13,D5,L1,V2,M1} { multiplication( antidomain(
% 118.85/119.26 X ), addition( X, Y ) ) ==> addition( zero, multiplication( antidomain( X
% 118.85/119.26 ), Y ) ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := multiplication( antidomain( X ), Y )
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Y
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 subsumption: (52) {G2,W11,D4,L1,V2,M1} P(13,7);d(31) { multiplication(
% 118.85/119.26 antidomain( X ), addition( X, Y ) ) ==> multiplication( antidomain( X ),
% 118.85/119.26 Y ) }.
% 118.85/119.26 parent0: (94837) {G2,W11,D4,L1,V2,M1} { multiplication( antidomain( X ),
% 118.85/119.26 addition( X, Y ) ) ==> multiplication( antidomain( X ), Y ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Y
% 118.85/119.26 end
% 118.85/119.26 permutation0:
% 118.85/119.26 0 ==> 0
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94840) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Z ), Y
% 118.85/119.26 ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) ) }.
% 118.85/119.26 parent0[0]: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 118.85/119.26 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Z
% 118.85/119.26 Z := Y
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94843) {G1,W12,D5,L1,V2,M1} { multiplication( addition( X,
% 118.85/119.26 antidomain( Y ) ), Y ) ==> addition( multiplication( X, Y ), zero ) }.
% 118.85/119.26 parent0[0]: (13) {G0,W6,D4,L1,V1,M1} I { multiplication( antidomain( X ), X
% 118.85/119.26 ) ==> zero }.
% 118.85/119.26 parent1[0; 11]: (94840) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X
% 118.85/119.26 , Z ), Y ) ==> addition( multiplication( X, Y ), multiplication( Z, Y ) )
% 118.85/119.26 }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := Y
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Y
% 118.85/119.26 Z := antidomain( Y )
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94844) {G1,W10,D5,L1,V2,M1} { multiplication( addition( X,
% 118.85/119.26 antidomain( Y ) ), Y ) ==> multiplication( X, Y ) }.
% 118.85/119.26 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 118.85/119.26 parent1[0; 7]: (94843) {G1,W12,D5,L1,V2,M1} { multiplication( addition( X
% 118.85/119.26 , antidomain( Y ) ), Y ) ==> addition( multiplication( X, Y ), zero ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := multiplication( X, Y )
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Y
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 subsumption: (65) {G1,W10,D5,L1,V2,M1} P(13,8);d(2) { multiplication(
% 118.85/119.26 addition( Y, antidomain( X ) ), X ) ==> multiplication( Y, X ) }.
% 118.85/119.26 parent0: (94844) {G1,W10,D5,L1,V2,M1} { multiplication( addition( X,
% 118.85/119.26 antidomain( Y ) ), Y ) ==> multiplication( X, Y ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := Y
% 118.85/119.26 Y := X
% 118.85/119.26 end
% 118.85/119.26 permutation0:
% 118.85/119.26 0 ==> 0
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94846) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq( X, Y
% 118.85/119.26 ) }.
% 118.85/119.26 parent0[1]: (11) {G0,W8,D3,L2,V2,M2} I { ! leq( X, Y ), addition( X, Y )
% 118.85/119.26 ==> Y }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Y
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94848) {G1,W6,D2,L2,V1,M2} { zero ==> X, ! leq( X, zero ) }.
% 118.85/119.26 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 118.85/119.26 parent1[0; 2]: (94846) {G0,W8,D3,L2,V2,M2} { Y ==> addition( X, Y ), ! leq
% 118.85/119.26 ( X, Y ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := X
% 118.85/119.26 Y := zero
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 subsumption: (86) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero )
% 118.85/119.26 }.
% 118.85/119.26 parent0: (94848) {G1,W6,D2,L2,V1,M2} { zero ==> X, ! leq( X, zero ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26 permutation0:
% 118.85/119.26 0 ==> 0
% 118.85/119.26 1 ==> 1
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94850) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y
% 118.85/119.26 ) }.
% 118.85/119.26 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 118.85/119.26 Y ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Y
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94851) {G1,W6,D2,L2,V1,M2} { X = zero, ! leq( X, zero ) }.
% 118.85/119.26 parent0[0]: (86) {G1,W6,D2,L2,V1,M2} P(11,2) { zero = X, ! leq( X, zero )
% 118.85/119.26 }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 resolution: (94853) {G1,W8,D3,L2,V1,M2} { X = zero, ! zero ==> addition( X
% 118.85/119.26 , zero ) }.
% 118.85/119.26 parent0[1]: (94851) {G1,W6,D2,L2,V1,M2} { X = zero, ! leq( X, zero ) }.
% 118.85/119.26 parent1[1]: (94850) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X
% 118.85/119.26 , Y ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := X
% 118.85/119.26 Y := zero
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94854) {G1,W6,D2,L2,V1,M2} { ! zero ==> X, X = zero }.
% 118.85/119.26 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 118.85/119.26 parent1[1; 3]: (94853) {G1,W8,D3,L2,V1,M2} { X = zero, ! zero ==> addition
% 118.85/119.26 ( X, zero ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94856) {G1,W6,D2,L2,V1,M2} { zero = X, ! zero ==> X }.
% 118.85/119.26 parent0[1]: (94854) {G1,W6,D2,L2,V1,M2} { ! zero ==> X, X = zero }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94857) {G1,W6,D2,L2,V1,M2} { ! X ==> zero, zero = X }.
% 118.85/119.26 parent0[1]: (94856) {G1,W6,D2,L2,V1,M2} { zero = X, ! zero ==> X }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 subsumption: (136) {G2,W6,D2,L2,V1,M2} R(12,86);d(2) { zero = X, ! X = zero
% 118.85/119.26 }.
% 118.85/119.26 parent0: (94857) {G1,W6,D2,L2,V1,M2} { ! X ==> zero, zero = X }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26 permutation0:
% 118.85/119.26 0 ==> 1
% 118.85/119.26 1 ==> 0
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94860) {G1,W7,D4,L1,V1,M1} { addition( domain( X ), antidomain(
% 118.85/119.26 X ) ) ==> one }.
% 118.85/119.26 parent0[0]: (16) {G0,W6,D4,L1,V1,M1} I { antidomain( antidomain( X ) ) ==>
% 118.85/119.26 domain( X ) }.
% 118.85/119.26 parent1[0; 2]: (15) {G0,W8,D5,L1,V1,M1} I { addition( antidomain(
% 118.85/119.26 antidomain( X ) ), antidomain( X ) ) ==> one }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 subsumption: (183) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X )
% 118.85/119.26 , antidomain( X ) ) ==> one }.
% 118.85/119.26 parent0: (94860) {G1,W7,D4,L1,V1,M1} { addition( domain( X ), antidomain(
% 118.85/119.26 X ) ) ==> one }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26 permutation0:
% 118.85/119.26 0 ==> 0
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94863) {G0,W9,D4,L1,V2,M1} { domain_difference( X, Y ) ==>
% 118.85/119.26 multiplication( domain( X ), antidomain( Y ) ) }.
% 118.85/119.26 parent0[0]: (22) {G0,W9,D4,L1,V2,M1} I { multiplication( domain( X ),
% 118.85/119.26 antidomain( Y ) ) ==> domain_difference( X, Y ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Y
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94864) {G1,W10,D4,L1,V2,M1} { domain_difference( antidomain( X )
% 118.85/119.26 , Y ) ==> multiplication( c( X ), antidomain( Y ) ) }.
% 118.85/119.26 parent0[0]: (41) {G1,W6,D4,L1,V1,M1} P(16,16);d(21) { domain( antidomain( X
% 118.85/119.26 ) ) ==> c( X ) }.
% 118.85/119.26 parent1[0; 6]: (94863) {G0,W9,D4,L1,V2,M1} { domain_difference( X, Y ) ==>
% 118.85/119.26 multiplication( domain( X ), antidomain( Y ) ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := antidomain( X )
% 118.85/119.26 Y := Y
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94865) {G1,W10,D4,L1,V2,M1} { multiplication( c( X ), antidomain
% 118.85/119.26 ( Y ) ) ==> domain_difference( antidomain( X ), Y ) }.
% 118.85/119.26 parent0[0]: (94864) {G1,W10,D4,L1,V2,M1} { domain_difference( antidomain(
% 118.85/119.26 X ), Y ) ==> multiplication( c( X ), antidomain( Y ) ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Y
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 subsumption: (233) {G2,W10,D4,L1,V2,M1} P(41,22) { multiplication( c( X ),
% 118.85/119.26 antidomain( Y ) ) ==> domain_difference( antidomain( X ), Y ) }.
% 118.85/119.26 parent0: (94865) {G1,W10,D4,L1,V2,M1} { multiplication( c( X ), antidomain
% 118.85/119.26 ( Y ) ) ==> domain_difference( antidomain( X ), Y ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 Y := Y
% 118.85/119.26 end
% 118.85/119.26 permutation0:
% 118.85/119.26 0 ==> 0
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 eqswap: (94867) {G1,W7,D4,L1,V1,M1} { one ==> addition( domain( X ),
% 118.85/119.26 antidomain( X ) ) }.
% 118.85/119.26 parent0[0]: (183) {G1,W7,D4,L1,V1,M1} S(15);d(16) { addition( domain( X ),
% 118.85/119.26 antidomain( X ) ) ==> one }.
% 118.85/119.26 substitution0:
% 118.85/119.26 X := X
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94870) {G2,W7,D4,L1,V0,M1} { one ==> addition( antidomain( zero
% 118.85/119.26 ), antidomain( one ) ) }.
% 118.85/119.26 parent0[0]: (51) {G2,W5,D3,L1,V0,M1} P(49,16) { domain( one ) ==>
% 118.85/119.26 antidomain( zero ) }.
% 118.85/119.26 parent1[0; 3]: (94867) {G1,W7,D4,L1,V1,M1} { one ==> addition( domain( X )
% 118.85/119.26 , antidomain( X ) ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 X := one
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94871) {G2,W6,D4,L1,V0,M1} { one ==> addition( antidomain( zero
% 118.85/119.26 ), zero ) }.
% 118.85/119.26 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(13,5) { antidomain( one ) ==> zero
% 118.85/119.26 }.
% 118.85/119.26 parent1[0; 5]: (94870) {G2,W7,D4,L1,V0,M1} { one ==> addition( antidomain
% 118.85/119.26 ( zero ), antidomain( one ) ) }.
% 118.85/119.26 substitution0:
% 118.85/119.26 end
% 118.85/119.26 substitution1:
% 118.85/119.26 end
% 118.85/119.26
% 118.85/119.26 paramod: (94872) {G1,W4,D3,L1,V0,M1} { one ==> antidomain( zero ) }.
% 118.85/119.26 parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { addition( X, zero ) ==> X }.
% 118.85/119.26 parCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------