TSTP Solution File: KLE090-10 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KLE090-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 01:37:07 EDT 2022
% Result : Unsatisfiable 10.01s 10.44s
% Output : Refutation 10.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE090-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Thu Jun 16 14:00:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 7.01/7.39 *** allocated 10000 integers for termspace/termends
% 7.01/7.39 *** allocated 10000 integers for clauses
% 7.01/7.39 *** allocated 10000 integers for justifications
% 7.01/7.39 Bliksem 1.12
% 7.01/7.39
% 7.01/7.39
% 7.01/7.39 Automatic Strategy Selection
% 7.01/7.39
% 7.01/7.39 Clauses:
% 7.01/7.39 [
% 7.01/7.39 [ =( ifeq2( X, X, Y, Z ), Y ) ],
% 7.01/7.39 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 7.01/7.39 [ =( addition( X, Y ), addition( Y, X ) ) ],
% 7.01/7.39 [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y ), Z ) )
% 7.01/7.39 ],
% 7.01/7.39 [ =( addition( X, zero ), X ) ],
% 7.01/7.39 [ =( addition( X, X ), X ) ],
% 7.01/7.39 [ =( multiplication( X, multiplication( Y, Z ) ), multiplication(
% 7.01/7.39 multiplication( X, Y ), Z ) ) ],
% 7.01/7.39 [ =( multiplication( X, one ), X ) ],
% 7.01/7.39 [ =( multiplication( one, X ), X ) ],
% 7.01/7.39 [ =( multiplication( X, addition( Y, Z ) ), addition( multiplication( X
% 7.01/7.39 , Y ), multiplication( X, Z ) ) ) ],
% 7.01/7.39 [ =( multiplication( addition( X, Y ), Z ), addition( multiplication( X
% 7.01/7.39 , Z ), multiplication( Y, Z ) ) ) ],
% 7.01/7.39 [ =( multiplication( X, zero ), zero ) ],
% 7.01/7.39 [ =( multiplication( zero, X ), zero ) ],
% 7.01/7.39 [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ],
% 7.01/7.39 [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true ) ],
% 7.01/7.39 [ =( multiplication( antidomain( X ), X ), zero ) ],
% 7.01/7.39 [ =( addition( antidomain( multiplication( X, Y ) ), antidomain(
% 7.01/7.39 multiplication( X, antidomain( antidomain( Y ) ) ) ) ), antidomain(
% 7.01/7.39 multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ],
% 7.01/7.39 [ =( addition( antidomain( antidomain( X ) ), antidomain( X ) ), one ) ]
% 7.01/7.39 ,
% 7.01/7.39 [ =( domain( X ), antidomain( antidomain( X ) ) ) ],
% 7.01/7.39 [ =( multiplication( X, coantidomain( X ) ), zero ) ],
% 7.01/7.39 [ =( addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 7.01/7.39 multiplication( coantidomain( coantidomain( X ) ), Y ) ) ), coantidomain(
% 7.01/7.39 multiplication( coantidomain( coantidomain( X ) ), Y ) ) ) ],
% 7.01/7.39 [ =( addition( coantidomain( coantidomain( X ) ), coantidomain( X ) ),
% 7.01/7.39 one ) ],
% 7.01/7.39 [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ],
% 7.01/7.39 [ =( addition( 'sK2_goals_X0', 'sK1_goals_X1' ), 'sK1_goals_X1' ) ],
% 7.01/7.39 [ ~( =( addition( antidomain( 'sK1_goals_X1' ), antidomain(
% 7.01/7.39 'sK2_goals_X0' ) ), antidomain( 'sK2_goals_X0' ) ) ) ]
% 7.01/7.39 ] .
% 7.01/7.39
% 7.01/7.39
% 7.01/7.39 percentage equality = 1.000000, percentage horn = 1.000000
% 7.01/7.39 This is a pure equality problem
% 7.01/7.39
% 7.01/7.39
% 7.01/7.39
% 7.01/7.39 Options Used:
% 7.01/7.39
% 7.01/7.39 useres = 1
% 7.01/7.39 useparamod = 1
% 7.01/7.39 useeqrefl = 1
% 7.01/7.39 useeqfact = 1
% 7.01/7.39 usefactor = 1
% 7.01/7.39 usesimpsplitting = 0
% 7.01/7.39 usesimpdemod = 5
% 7.01/7.39 usesimpres = 3
% 7.01/7.39
% 7.01/7.39 resimpinuse = 1000
% 7.01/7.39 resimpclauses = 20000
% 7.01/7.39 substype = eqrewr
% 7.01/7.39 backwardsubs = 1
% 7.01/7.39 selectoldest = 5
% 7.01/7.39
% 7.01/7.39 litorderings [0] = split
% 7.01/7.39 litorderings [1] = extend the termordering, first sorting on arguments
% 7.01/7.39
% 7.01/7.39 termordering = kbo
% 7.01/7.39
% 7.01/7.39 litapriori = 0
% 7.01/7.39 termapriori = 1
% 7.01/7.39 litaposteriori = 0
% 7.01/7.39 termaposteriori = 0
% 7.01/7.39 demodaposteriori = 0
% 7.01/7.39 ordereqreflfact = 0
% 7.01/7.39
% 7.01/7.39 litselect = negord
% 7.01/7.39
% 7.01/7.39 maxweight = 15
% 7.01/7.39 maxdepth = 30000
% 7.01/7.39 maxlength = 115
% 7.01/7.39 maxnrvars = 195
% 7.01/7.39 excuselevel = 1
% 7.01/7.39 increasemaxweight = 1
% 7.01/7.39
% 7.01/7.39 maxselected = 10000000
% 7.01/7.39 maxnrclauses = 10000000
% 7.01/7.39
% 7.01/7.39 showgenerated = 0
% 7.01/7.39 showkept = 0
% 7.01/7.39 showselected = 0
% 7.01/7.39 showdeleted = 0
% 7.01/7.39 showresimp = 1
% 7.01/7.39 showstatus = 2000
% 7.01/7.39
% 7.01/7.39 prologoutput = 1
% 7.01/7.39 nrgoals = 5000000
% 7.01/7.39 totalproof = 1
% 7.01/7.39
% 7.01/7.39 Symbols occurring in the translation:
% 7.01/7.39
% 7.01/7.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.01/7.39 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 7.01/7.39 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 7.01/7.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.01/7.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.01/7.39 ifeq2 [42, 4] (w:1, o:56, a:1, s:1, b:0),
% 7.01/7.39 ifeq [43, 4] (w:1, o:57, a:1, s:1, b:0),
% 7.01/7.39 addition [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 7.01/7.39 zero [45, 0] (w:1, o:15, a:1, s:1, b:0),
% 7.01/7.39 multiplication [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 7.01/7.39 one [47, 0] (w:1, o:9, a:1, s:1, b:0),
% 7.01/7.39 leq [48, 2] (w:1, o:54, a:1, s:1, b:0),
% 7.01/7.39 true [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 7.01/7.39 antidomain [51, 1] (w:1, o:24, a:1, s:1, b:0),
% 7.01/7.39 domain [53, 1] (w:1, o:27, a:1, s:1, b:0),
% 7.01/7.39 coantidomain [54, 1] (w:1, o:25, a:1, s:1, b:0),
% 7.01/7.39 codomain [55, 1] (w:1, o:26, a:1, s:1, b:0),
% 7.01/7.39 'sK2_goals_X0' [56, 0] (w:1, o:6, a:1, s:1, b:0),
% 10.01/10.44 'sK1_goals_X1' [57, 0] (w:1, o:5, a:1, s:1, b:0).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Starting Search:
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 21525
% 10.01/10.44 Kept: 2000
% 10.01/10.44 Inuse: 354
% 10.01/10.44 Deleted: 60
% 10.01/10.44 Deletedinuse: 16
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 60526
% 10.01/10.44 Kept: 4008
% 10.01/10.44 Inuse: 605
% 10.01/10.44 Deleted: 137
% 10.01/10.44 Deletedinuse: 36
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 108635
% 10.01/10.44 Kept: 6014
% 10.01/10.44 Inuse: 903
% 10.01/10.44 Deleted: 203
% 10.01/10.44 Deletedinuse: 42
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 148426
% 10.01/10.44 Kept: 8034
% 10.01/10.44 Inuse: 1063
% 10.01/10.44 Deleted: 279
% 10.01/10.44 Deletedinuse: 54
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 185790
% 10.01/10.44 Kept: 10064
% 10.01/10.44 Inuse: 1222
% 10.01/10.44 Deleted: 301
% 10.01/10.44 Deletedinuse: 54
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 230349
% 10.01/10.44 Kept: 12078
% 10.01/10.44 Inuse: 1395
% 10.01/10.44 Deleted: 374
% 10.01/10.44 Deletedinuse: 54
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 274356
% 10.01/10.44 Kept: 14086
% 10.01/10.44 Inuse: 1483
% 10.01/10.44 Deleted: 378
% 10.01/10.44 Deletedinuse: 54
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 330693
% 10.01/10.44 Kept: 16103
% 10.01/10.44 Inuse: 1586
% 10.01/10.44 Deleted: 397
% 10.01/10.44 Deletedinuse: 55
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 400481
% 10.01/10.44 Kept: 18133
% 10.01/10.44 Inuse: 1687
% 10.01/10.44 Deleted: 402
% 10.01/10.44 Deletedinuse: 55
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying clauses:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 438793
% 10.01/10.44 Kept: 20198
% 10.01/10.44 Inuse: 1761
% 10.01/10.44 Deleted: 2810
% 10.01/10.44 Deletedinuse: 55
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 496755
% 10.01/10.44 Kept: 22198
% 10.01/10.44 Inuse: 1852
% 10.01/10.44 Deleted: 2811
% 10.01/10.44 Deletedinuse: 56
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 598902
% 10.01/10.44 Kept: 24352
% 10.01/10.44 Inuse: 2030
% 10.01/10.44 Deleted: 2814
% 10.01/10.44 Deletedinuse: 56
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 660789
% 10.01/10.44 Kept: 26379
% 10.01/10.44 Inuse: 2144
% 10.01/10.44 Deleted: 2816
% 10.01/10.44 Deletedinuse: 56
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 744717
% 10.01/10.44 Kept: 28401
% 10.01/10.44 Inuse: 2320
% 10.01/10.44 Deleted: 2856
% 10.01/10.44 Deletedinuse: 56
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 845957
% 10.01/10.44 Kept: 30403
% 10.01/10.44 Inuse: 2501
% 10.01/10.44 Deleted: 3615
% 10.01/10.44 Deletedinuse: 718
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 922138
% 10.01/10.44 Kept: 32421
% 10.01/10.44 Inuse: 2575
% 10.01/10.44 Deleted: 3659
% 10.01/10.44 Deletedinuse: 718
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 1000084
% 10.01/10.44 Kept: 34421
% 10.01/10.44 Inuse: 2673
% 10.01/10.44 Deleted: 3783
% 10.01/10.44 Deletedinuse: 740
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 1073171
% 10.01/10.44 Kept: 36426
% 10.01/10.44 Inuse: 2740
% 10.01/10.44 Deleted: 3812
% 10.01/10.44 Deletedinuse: 740
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 1138596
% 10.01/10.44 Kept: 38426
% 10.01/10.44 Inuse: 2815
% 10.01/10.44 Deleted: 3869
% 10.01/10.44 Deletedinuse: 740
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying clauses:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 1233487
% 10.01/10.44 Kept: 40472
% 10.01/10.44 Inuse: 2902
% 10.01/10.44 Deleted: 15897
% 10.01/10.44 Deletedinuse: 745
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 1322135
% 10.01/10.44 Kept: 42473
% 10.01/10.44 Inuse: 2992
% 10.01/10.44 Deleted: 15903
% 10.01/10.44 Deletedinuse: 750
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 1397872
% 10.01/10.44 Kept: 44481
% 10.01/10.44 Inuse: 3057
% 10.01/10.44 Deleted: 15907
% 10.01/10.44 Deletedinuse: 750
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 1501033
% 10.01/10.44 Kept: 46489
% 10.01/10.44 Inuse: 3157
% 10.01/10.44 Deleted: 15907
% 10.01/10.44 Deletedinuse: 750
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 1604540
% 10.01/10.44 Kept: 48510
% 10.01/10.44 Inuse: 3268
% 10.01/10.44 Deleted: 15911
% 10.01/10.44 Deletedinuse: 750
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 1703790
% 10.01/10.44 Kept: 50513
% 10.01/10.44 Inuse: 3346
% 10.01/10.44 Deleted: 15941
% 10.01/10.44 Deletedinuse: 750
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 1893657
% 10.01/10.44 Kept: 52526
% 10.01/10.44 Inuse: 3514
% 10.01/10.44 Deleted: 15947
% 10.01/10.44 Deletedinuse: 750
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 2010131
% 10.01/10.44 Kept: 54577
% 10.01/10.44 Inuse: 3646
% 10.01/10.44 Deleted: 15955
% 10.01/10.44 Deletedinuse: 758
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 2122019
% 10.01/10.44 Kept: 56610
% 10.01/10.44 Inuse: 3786
% 10.01/10.44 Deleted: 15961
% 10.01/10.44 Deletedinuse: 758
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 Intermediate Status:
% 10.01/10.44 Generated: 2212142
% 10.01/10.44 Kept: 58658
% 10.01/10.44 Inuse: 3882
% 10.01/10.44 Deleted: 15979
% 10.01/10.44 Deletedinuse: 762
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying clauses:
% 10.01/10.44 Done
% 10.01/10.44
% 10.01/10.44 Resimplifying inuse:
% 10.01/10.44
% 10.01/10.44 Bliksems!, er is een bewijs:
% 10.01/10.44 % SZS status Unsatisfiable
% 10.01/10.44 % SZS output start Refutation
% 10.01/10.44
% 10.01/10.44 clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y )
% 10.01/10.44 , Z ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 4, [ =( addition( X, zero ), X ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 5, [ =( addition( X, X ), X ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ), multiplication(
% 10.01/10.44 multiplication( X, Y ), Z ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z ) )
% 10.01/10.44 , multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z ) )
% 10.01/10.44 , multiplication( addition( X, Y ), Z ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 11, [ =( multiplication( X, zero ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true ) ]
% 10.01/10.44 )
% 10.01/10.44 .
% 10.01/10.44 clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 16, [ =( addition( antidomain( multiplication( X, Y ) ), antidomain(
% 10.01/10.44 multiplication( X, antidomain( antidomain( Y ) ) ) ) ), antidomain(
% 10.01/10.44 multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 17, [ =( addition( antidomain( antidomain( X ) ), antidomain( X ) )
% 10.01/10.44 , one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 20, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 10.01/10.44 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 21, [ =( addition( coantidomain( coantidomain( X ) ), coantidomain(
% 10.01/10.44 X ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 23, [ =( addition( 'sK2_goals_X0', 'sK1_goals_X1' ), 'sK1_goals_X1'
% 10.01/10.44 ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 24, [ ~( =( addition( antidomain( 'sK1_goals_X1' ), antidomain(
% 10.01/10.44 'sK2_goals_X0' ) ), antidomain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 25, [ =( codomain( coantidomain( X ) ), coantidomain( codomain( X )
% 10.01/10.44 ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 26, [ =( multiplication( coantidomain( X ), codomain( X ) ), zero )
% 10.01/10.44 ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 27, [ =( coantidomain( one ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 28, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 29, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 .
% 10.01/10.44 clause( 30, [ =( multiplication( domain( X ), antidomain( X ) ), zero ) ]
% 10.01/10.44 )
% 10.01/10.44 .
% 10.01/10.44 clause( 31, [ =( antidomain( one ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 32, [ =( addition( 'sK1_goals_X1', 'sK2_goals_X0' ), 'sK1_goals_X1'
% 10.01/10.44 ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 33, [ =( addition( zero, X ), X ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 34, [ =( domain( one ), antidomain( zero ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 36, [ =( addition( addition( X, Y ), Z ), addition( addition( Y, Z
% 10.01/10.44 ), X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 40, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 44, [ =( multiplication( multiplication( Y, antidomain( X ) ), X )
% 10.01/10.44 , zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 45, [ =( multiplication( multiplication( Y, X ), coantidomain( X )
% 10.01/10.44 ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 47, [ ~( =( addition( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 48, [ =( multiplication( multiplication( multiplication( X,
% 10.01/10.44 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 49, [ =( multiplication( multiplication( X, antidomain( Y ) ),
% 10.01/10.44 addition( Y, Z ) ), multiplication( multiplication( X, antidomain( Y ) )
% 10.01/10.44 , Z ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 51, [ =( multiplication( multiplication( X, Y ), addition(
% 10.01/10.44 coantidomain( Y ), Z ) ), multiplication( multiplication( X, Y ), Z ) ) ]
% 10.01/10.44 )
% 10.01/10.44 .
% 10.01/10.44 clause( 55, [ =( multiplication( coantidomain( X ), addition( codomain( X )
% 10.01/10.44 , Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 65, [ =( addition( X, multiplication( X, Y ) ), multiplication( X,
% 10.01/10.44 addition( one, Y ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 66, [ =( addition( multiplication( X, Y ), X ), multiplication( X,
% 10.01/10.44 addition( Y, one ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 67, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 68, [ =( addition( coantidomain( codomain( X ) ), codomain( X ) ),
% 10.01/10.44 one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 70, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 71, [ =( coantidomain( zero ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 85, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 10.01/10.44 multiplication( Y, X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 87, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 10.01/10.44 multiplication( Y, coantidomain( X ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 89, [ =( addition( X, multiplication( Y, X ) ), multiplication(
% 10.01/10.44 addition( one, Y ), X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 90, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 10.01/10.44 addition( Y, one ), X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 95, [ =( ifeq( leq( multiplication( X, Y ), multiplication( Z, Y )
% 10.01/10.44 ), true, multiplication( addition( X, Z ), Y ), multiplication( Z, Y ) )
% 10.01/10.44 , multiplication( Z, Y ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 97, [ =( ifeq( leq( multiplication( X, Y ), multiplication( X, Z )
% 10.01/10.44 ), true, multiplication( X, addition( Y, Z ) ), multiplication( X, Z ) )
% 10.01/10.44 , multiplication( X, Z ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 101, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 107, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 109, [ =( addition( antidomain( domain( X ) ), domain( X ) ), one )
% 10.01/10.44 ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 111, [ =( antidomain( zero ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 112, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 125, [ =( leq( zero, X ), true ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.44 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 10.01/10.44 multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 134, [ =( addition( addition( Y, antidomain( X ) ), domain( X ) ),
% 10.01/10.44 addition( Y, one ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 137, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 10.01/10.44 multiplication( codomain( X ), Y ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 141, [ =( addition( one, domain( X ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 144, [ =( addition( one, antidomain( X ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 145, [ =( addition( one, codomain( X ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 148, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 154, [ =( addition( domain( X ), one ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 179, [ =( addition( addition( domain( X ), Y ), one ), addition(
% 10.01/10.44 one, Y ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 196, [ =( addition( addition( Z, X ), Y ), addition( addition( Y, X
% 10.01/10.44 ), Z ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 201, [ =( addition( codomain( X ), one ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 283, [ =( multiplication( multiplication( Y, antidomain( domain( X
% 10.01/10.44 ) ) ), antidomain( X ) ), multiplication( Y, antidomain( domain( X ) ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 288, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), 'sK2_goals_X0' ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 293, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.44 'sK2_goals_X0' ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 307, [ =( multiplication( domain( X ), X ), X ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 319, [ =( multiplication( antidomain( domain( X ) ), antidomain( X
% 10.01/10.44 ) ), antidomain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 326, [ =( multiplication( multiplication( Y, X ), codomain( X ) ),
% 10.01/10.44 multiplication( Y, X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 330, [ =( multiplication( Y, antidomain( domain( X ) ) ),
% 10.01/10.44 multiplication( Y, antidomain( X ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 335, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 347, [ =( multiplication( X, coantidomain( codomain( X ) ) ), zero
% 10.01/10.44 ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 348, [ =( multiplication( coantidomain( X ), coantidomain( codomain(
% 10.01/10.44 X ) ) ), coantidomain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 468, [ =( multiplication( X, addition( Z, antidomain( domain( Y ) )
% 10.01/10.44 ) ), multiplication( X, addition( Z, antidomain( Y ) ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 473, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 478, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 627, [ =( addition( X, multiplication( X, antidomain( Y ) ) ), X )
% 10.01/10.44 ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 644, [ =( addition( Y, multiplication( Y, domain( X ) ) ), Y ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 703, [ =( addition( multiplication( Y, codomain( X ) ), Y ), Y ) ]
% 10.01/10.44 )
% 10.01/10.44 .
% 10.01/10.44 clause( 790, [ =( addition( one, multiplication( domain( X ), domain( Y ) )
% 10.01/10.44 ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 794, [ =( addition( addition( Z, X ), multiplication( X, domain( Y
% 10.01/10.44 ) ) ), addition( X, Z ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 886, [ =( addition( Z, multiplication( multiplication( Z, domain( X
% 10.01/10.44 ) ), domain( Y ) ) ), Z ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1003, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1004, [ =( domain( one ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1042, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1121, [ =( addition( Y, multiplication( antidomain( X ), Y ) ), Y )
% 10.01/10.44 ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1134, [ =( multiplication( addition( one, multiplication( X, Y ) )
% 10.01/10.44 , codomain( Y ) ), addition( codomain( Y ), multiplication( X, Y ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 .
% 10.01/10.44 clause( 1169, [ =( addition( multiplication( codomain( X ), Y ), Y ), Y ) ]
% 10.01/10.44 )
% 10.01/10.44 .
% 10.01/10.44 clause( 1248, [ =( leq( multiplication( codomain( X ), Y ), Y ), true ) ]
% 10.01/10.44 )
% 10.01/10.44 .
% 10.01/10.44 clause( 1261, [ =( leq( multiplication( coantidomain( X ), Y ), Y ), true )
% 10.01/10.44 ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1320, [ =( addition( codomain( antidomain( X ) ), antidomain( X ) )
% 10.01/10.44 , codomain( antidomain( X ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1830, [ =( antidomain( multiplication( X, domain( coantidomain( X )
% 10.01/10.44 ) ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1832, [ =( antidomain( multiplication( antidomain( 'sK1_goals_X1' )
% 10.01/10.44 , domain( 'sK2_goals_X0' ) ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1846, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), domain( 'sK2_goals_X0' ) ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1847, [ =( domain( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.44 domain( 'sK2_goals_X0' ) ) ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1848, [ =( multiplication( antidomain( 'sK1_goals_X1' ), domain(
% 10.01/10.44 'sK2_goals_X0' ) ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1849, [ =( multiplication( antidomain( 'sK1_goals_X1' ), addition(
% 10.01/10.44 domain( 'sK2_goals_X0' ), X ) ), multiplication( antidomain(
% 10.01/10.44 'sK1_goals_X1' ), X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1865, [ =( multiplication( multiplication( Y, X ), domain(
% 10.01/10.44 coantidomain( X ) ) ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1866, [ =( domain( multiplication( X, domain( coantidomain( X ) ) )
% 10.01/10.44 ), zero ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 1869, [ =( multiplication( X, domain( coantidomain( X ) ) ), zero )
% 10.01/10.44 ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 2072, [ =( coantidomain( multiplication( codomain( antidomain( X )
% 10.01/10.44 ), X ) ), one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 2088, [ =( multiplication( codomain( antidomain( X ) ), X ), zero )
% 10.01/10.44 ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 2098, [ =( multiplication( addition( codomain( antidomain( X ) ), Y
% 10.01/10.44 ), X ), multiplication( Y, X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 3900, [ =( addition( codomain( antidomain( X ) ), domain( X ) ),
% 10.01/10.44 one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 3908, [ =( addition( codomain( domain( X ) ), antidomain( X ) ),
% 10.01/10.44 one ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 3929, [ =( multiplication( coantidomain( domain( X ) ), antidomain(
% 10.01/10.44 X ) ), coantidomain( domain( X ) ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 3985, [ =( leq( coantidomain( domain( X ) ), antidomain( X ) ),
% 10.01/10.44 true ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 3994, [ =( leq( coantidomain( antidomain( X ) ), domain( X ) ),
% 10.01/10.44 true ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 3996, [ =( addition( domain( X ), coantidomain( antidomain( X ) ) )
% 10.01/10.44 , domain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 4009, [ =( addition( addition( Y, coantidomain( antidomain( X ) ) )
% 10.01/10.44 , domain( X ) ), addition( domain( X ), Y ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 27776, [ =( multiplication( coantidomain( antidomain( X ) ), X ), X
% 10.01/10.44 ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 27779, [ =( addition( coantidomain( antidomain( X ) ), Y ),
% 10.01/10.44 addition( domain( X ), Y ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 27811, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 27818, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 27871, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 60471, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.44 antidomain( 'sK2_goals_X0' ) ), antidomain( 'sK1_goals_X1' ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 60529, [ =( addition( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ] )
% 10.01/10.44 .
% 10.01/10.44 clause( 60557, [] )
% 10.01/10.44 .
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 % SZS output end Refutation
% 10.01/10.44 found a proof!
% 10.01/10.44
% 10.01/10.44 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 10.01/10.44
% 10.01/10.44 initialclauses(
% 10.01/10.44 [ clause( 60559, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 10.01/10.44 , clause( 60560, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 10.01/10.44 , clause( 60561, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , clause( 60562, [ =( addition( X, addition( Y, Z ) ), addition( addition(
% 10.01/10.44 X, Y ), Z ) ) ] )
% 10.01/10.44 , clause( 60563, [ =( addition( X, zero ), X ) ] )
% 10.01/10.44 , clause( 60564, [ =( addition( X, X ), X ) ] )
% 10.01/10.44 , clause( 60565, [ =( multiplication( X, multiplication( Y, Z ) ),
% 10.01/10.44 multiplication( multiplication( X, Y ), Z ) ) ] )
% 10.01/10.44 , clause( 60566, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.44 , clause( 60567, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.44 , clause( 60568, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , clause( 60569, [ =( multiplication( addition( X, Y ), Z ), addition(
% 10.01/10.44 multiplication( X, Z ), multiplication( Y, Z ) ) ) ] )
% 10.01/10.44 , clause( 60570, [ =( multiplication( X, zero ), zero ) ] )
% 10.01/10.44 , clause( 60571, [ =( multiplication( zero, X ), zero ) ] )
% 10.01/10.44 , clause( 60572, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 60573, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true
% 10.01/10.44 ) ] )
% 10.01/10.44 , clause( 60574, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 10.01/10.44 , clause( 60575, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ),
% 10.01/10.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ] )
% 10.01/10.44 , clause( 60576, [ =( addition( antidomain( antidomain( X ) ), antidomain(
% 10.01/10.44 X ) ), one ) ] )
% 10.01/10.44 , clause( 60577, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 60578, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 10.01/10.44 , clause( 60579, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 10.01/10.44 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , clause( 60580, [ =( addition( coantidomain( coantidomain( X ) ),
% 10.01/10.44 coantidomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 60581, [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 60582, [ =( addition( 'sK2_goals_X0', 'sK1_goals_X1' ),
% 10.01/10.44 'sK1_goals_X1' ) ] )
% 10.01/10.44 , clause( 60583, [ ~( =( addition( antidomain( 'sK1_goals_X1' ), antidomain(
% 10.01/10.44 'sK2_goals_X0' ) ), antidomain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.44 ] ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 10.01/10.44 , clause( 60559, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 10.01/10.44 , clause( 60560, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , clause( 60561, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y )
% 10.01/10.44 , Z ) ) ] )
% 10.01/10.44 , clause( 60562, [ =( addition( X, addition( Y, Z ) ), addition( addition(
% 10.01/10.44 X, Y ), Z ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 4, [ =( addition( X, zero ), X ) ] )
% 10.01/10.44 , clause( 60563, [ =( addition( X, zero ), X ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 5, [ =( addition( X, X ), X ) ] )
% 10.01/10.44 , clause( 60564, [ =( addition( X, X ), X ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ), multiplication(
% 10.01/10.44 multiplication( X, Y ), Z ) ) ] )
% 10.01/10.44 , clause( 60565, [ =( multiplication( X, multiplication( Y, Z ) ),
% 10.01/10.44 multiplication( multiplication( X, Y ), Z ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.44 , clause( 60566, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.44 , clause( 60567, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60630, [ =( addition( multiplication( X, Y ), multiplication( X, Z
% 10.01/10.44 ) ), multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.44 , clause( 60568, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z ) )
% 10.01/10.44 , multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.44 , clause( 60630, [ =( addition( multiplication( X, Y ), multiplication( X,
% 10.01/10.44 Z ) ), multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60640, [ =( addition( multiplication( X, Z ), multiplication( Y, Z
% 10.01/10.44 ) ), multiplication( addition( X, Y ), Z ) ) ] )
% 10.01/10.44 , clause( 60569, [ =( multiplication( addition( X, Y ), Z ), addition(
% 10.01/10.44 multiplication( X, Z ), multiplication( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z ) )
% 10.01/10.44 , multiplication( addition( X, Y ), Z ) ) ] )
% 10.01/10.44 , clause( 60640, [ =( addition( multiplication( X, Z ), multiplication( Y,
% 10.01/10.44 Z ) ), multiplication( addition( X, Y ), Z ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 11, [ =( multiplication( X, zero ), zero ) ] )
% 10.01/10.44 , clause( 60570, [ =( multiplication( X, zero ), zero ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 10.01/10.44 , clause( 60572, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ]
% 10.01/10.44 )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 60573, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true
% 10.01/10.44 ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 10.01/10.44 , clause( 60574, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 16, [ =( addition( antidomain( multiplication( X, Y ) ), antidomain(
% 10.01/10.44 multiplication( X, antidomain( antidomain( Y ) ) ) ) ), antidomain(
% 10.01/10.44 multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ] )
% 10.01/10.44 , clause( 60575, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ),
% 10.01/10.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 17, [ =( addition( antidomain( antidomain( X ) ), antidomain( X ) )
% 10.01/10.44 , one ) ] )
% 10.01/10.44 , clause( 60576, [ =( addition( antidomain( antidomain( X ) ), antidomain(
% 10.01/10.44 X ) ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60744, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , clause( 60577, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , clause( 60744, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 10.01/10.44 , clause( 60578, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 20, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 10.01/10.44 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , clause( 60579, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 10.01/10.44 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 21, [ =( addition( coantidomain( coantidomain( X ) ), coantidomain(
% 10.01/10.44 X ) ), one ) ] )
% 10.01/10.44 , clause( 60580, [ =( addition( coantidomain( coantidomain( X ) ),
% 10.01/10.44 coantidomain( X ) ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60826, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 , clause( 60581, [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 , clause( 60826, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 23, [ =( addition( 'sK2_goals_X0', 'sK1_goals_X1' ), 'sK1_goals_X1'
% 10.01/10.44 ) ] )
% 10.01/10.44 , clause( 60582, [ =( addition( 'sK2_goals_X0', 'sK1_goals_X1' ),
% 10.01/10.44 'sK1_goals_X1' ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 24, [ ~( =( addition( antidomain( 'sK1_goals_X1' ), antidomain(
% 10.01/10.44 'sK2_goals_X0' ) ), antidomain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.44 , clause( 60583, [ ~( =( addition( antidomain( 'sK1_goals_X1' ), antidomain(
% 10.01/10.44 'sK2_goals_X0' ) ), antidomain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60874, [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60877, [ =( codomain( coantidomain( X ) ), coantidomain( codomain(
% 10.01/10.44 X ) ) ) ] )
% 10.01/10.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 , 0, clause( 60874, [ =( codomain( X ), coantidomain( coantidomain( X ) ) )
% 10.01/10.44 ] )
% 10.01/10.44 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 coantidomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 25, [ =( codomain( coantidomain( X ) ), coantidomain( codomain( X )
% 10.01/10.44 ) ) ] )
% 10.01/10.44 , clause( 60877, [ =( codomain( coantidomain( X ) ), coantidomain( codomain(
% 10.01/10.44 X ) ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60880, [ =( zero, multiplication( X, coantidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60881, [ =( zero, multiplication( coantidomain( X ), codomain( X )
% 10.01/10.44 ) ) ] )
% 10.01/10.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 , 0, clause( 60880, [ =( zero, multiplication( X, coantidomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 coantidomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60882, [ =( multiplication( coantidomain( X ), codomain( X ) ),
% 10.01/10.44 zero ) ] )
% 10.01/10.44 , clause( 60881, [ =( zero, multiplication( coantidomain( X ), codomain( X
% 10.01/10.44 ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 26, [ =( multiplication( coantidomain( X ), codomain( X ) ), zero )
% 10.01/10.44 ] )
% 10.01/10.44 , clause( 60882, [ =( multiplication( coantidomain( X ), codomain( X ) ),
% 10.01/10.44 zero ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60883, [ =( zero, multiplication( X, coantidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60885, [ =( zero, coantidomain( one ) ) ] )
% 10.01/10.44 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.44 , 0, clause( 60883, [ =( zero, multiplication( X, coantidomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, coantidomain( one ) )] ), substitution( 1
% 10.01/10.44 , [ :=( X, one )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60886, [ =( coantidomain( one ), zero ) ] )
% 10.01/10.44 , clause( 60885, [ =( zero, coantidomain( one ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 27, [ =( coantidomain( one ), zero ) ] )
% 10.01/10.44 , clause( 60886, [ =( coantidomain( one ), zero ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60888, [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60889, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 10.01/10.44 , clause( 27, [ =( coantidomain( one ), zero ) ] )
% 10.01/10.44 , 0, clause( 60888, [ =( codomain( X ), coantidomain( coantidomain( X ) ) )
% 10.01/10.44 ] )
% 10.01/10.44 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, one )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 28, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 10.01/10.44 , clause( 60889, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60891, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60894, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) )
% 10.01/10.44 ] )
% 10.01/10.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , 0, clause( 60891, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 10.01/10.44 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 antidomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 29, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 60894, [ =( domain( antidomain( X ) ), antidomain( domain( X ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60897, [ =( zero, multiplication( antidomain( X ), X ) ) ] )
% 10.01/10.44 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60898, [ =( zero, multiplication( domain( X ), antidomain( X ) ) )
% 10.01/10.44 ] )
% 10.01/10.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , 0, clause( 60897, [ =( zero, multiplication( antidomain( X ), X ) ) ] )
% 10.01/10.44 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 antidomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60899, [ =( multiplication( domain( X ), antidomain( X ) ), zero )
% 10.01/10.44 ] )
% 10.01/10.44 , clause( 60898, [ =( zero, multiplication( domain( X ), antidomain( X ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 30, [ =( multiplication( domain( X ), antidomain( X ) ), zero ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 60899, [ =( multiplication( domain( X ), antidomain( X ) ), zero
% 10.01/10.44 ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60900, [ =( zero, multiplication( antidomain( X ), X ) ) ] )
% 10.01/10.44 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60902, [ =( zero, antidomain( one ) ) ] )
% 10.01/10.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.44 , 0, clause( 60900, [ =( zero, multiplication( antidomain( X ), X ) ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, antidomain( one ) )] ), substitution( 1
% 10.01/10.44 , [ :=( X, one )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60903, [ =( antidomain( one ), zero ) ] )
% 10.01/10.44 , clause( 60902, [ =( zero, antidomain( one ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 31, [ =( antidomain( one ), zero ) ] )
% 10.01/10.44 , clause( 60903, [ =( antidomain( one ), zero ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60904, [ =( 'sK1_goals_X1', addition( 'sK2_goals_X0',
% 10.01/10.44 'sK1_goals_X1' ) ) ] )
% 10.01/10.44 , clause( 23, [ =( addition( 'sK2_goals_X0', 'sK1_goals_X1' ),
% 10.01/10.44 'sK1_goals_X1' ) ] )
% 10.01/10.44 , 0, substitution( 0, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60905, [ =( 'sK1_goals_X1', addition( 'sK1_goals_X1',
% 10.01/10.44 'sK2_goals_X0' ) ) ] )
% 10.01/10.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, clause( 60904, [ =( 'sK1_goals_X1', addition( 'sK2_goals_X0',
% 10.01/10.44 'sK1_goals_X1' ) ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, 'sK2_goals_X0' ), :=( Y, 'sK1_goals_X1' )] )
% 10.01/10.44 , substitution( 1, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60908, [ =( addition( 'sK1_goals_X1', 'sK2_goals_X0' ),
% 10.01/10.44 'sK1_goals_X1' ) ] )
% 10.01/10.44 , clause( 60905, [ =( 'sK1_goals_X1', addition( 'sK1_goals_X1',
% 10.01/10.44 'sK2_goals_X0' ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 32, [ =( addition( 'sK1_goals_X1', 'sK2_goals_X0' ), 'sK1_goals_X1'
% 10.01/10.44 ) ] )
% 10.01/10.44 , clause( 60908, [ =( addition( 'sK1_goals_X1', 'sK2_goals_X0' ),
% 10.01/10.44 'sK1_goals_X1' ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60909, [ =( X, addition( X, zero ) ) ] )
% 10.01/10.44 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60910, [ =( X, addition( zero, X ) ) ] )
% 10.01/10.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, clause( 60909, [ =( X, addition( X, zero ) ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, zero )] ), substitution( 1, [
% 10.01/10.44 :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60913, [ =( addition( zero, X ), X ) ] )
% 10.01/10.44 , clause( 60910, [ =( X, addition( zero, X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 33, [ =( addition( zero, X ), X ) ] )
% 10.01/10.44 , clause( 60913, [ =( addition( zero, X ), X ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60915, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60916, [ =( domain( one ), antidomain( zero ) ) ] )
% 10.01/10.44 , clause( 31, [ =( antidomain( one ), zero ) ] )
% 10.01/10.44 , 0, clause( 60915, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 10.01/10.44 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, one )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 34, [ =( domain( one ), antidomain( zero ) ) ] )
% 10.01/10.44 , clause( 60916, [ =( domain( one ), antidomain( zero ) ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60918, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 10.01/10.44 Y, Z ) ) ) ] )
% 10.01/10.44 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 10.01/10.44 ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60921, [ =( addition( addition( X, Y ), Z ), addition( addition( Y
% 10.01/10.44 , Z ), X ) ) ] )
% 10.01/10.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, clause( 60918, [ =( addition( addition( X, Y ), Z ), addition( X,
% 10.01/10.44 addition( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, addition( Y, Z ) )] ),
% 10.01/10.44 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 36, [ =( addition( addition( X, Y ), Z ), addition( addition( Y, Z
% 10.01/10.44 ), X ) ) ] )
% 10.01/10.44 , clause( 60921, [ =( addition( addition( X, Y ), Z ), addition( addition(
% 10.01/10.44 Y, Z ), X ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60936, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 10.01/10.44 Y, Z ) ) ) ] )
% 10.01/10.44 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 10.01/10.44 ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60942, [ =( addition( addition( X, Y ), Y ), addition( X, Y ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 5, [ =( addition( X, X ), X ) ] )
% 10.01/10.44 , 0, clause( 60936, [ =( addition( addition( X, Y ), Z ), addition( X,
% 10.01/10.44 addition( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 40, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 10.01/10.44 , clause( 60942, [ =( addition( addition( X, Y ), Y ), addition( X, Y ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60948, [ =( multiplication( multiplication( X, Y ), Z ),
% 10.01/10.44 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 10.01/10.44 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 10.01/10.44 multiplication( multiplication( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60953, [ =( multiplication( multiplication( X, antidomain( Y ) ), Y
% 10.01/10.44 ), multiplication( X, zero ) ) ] )
% 10.01/10.44 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 10.01/10.44 , 0, clause( 60948, [ =( multiplication( multiplication( X, Y ), Z ),
% 10.01/10.44 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, antidomain( Y ) ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60954, [ =( multiplication( multiplication( X, antidomain( Y ) ), Y
% 10.01/10.44 ), zero ) ] )
% 10.01/10.44 , clause( 11, [ =( multiplication( X, zero ), zero ) ] )
% 10.01/10.44 , 0, clause( 60953, [ =( multiplication( multiplication( X, antidomain( Y )
% 10.01/10.44 ), Y ), multiplication( X, zero ) ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 44, [ =( multiplication( multiplication( Y, antidomain( X ) ), X )
% 10.01/10.44 , zero ) ] )
% 10.01/10.44 , clause( 60954, [ =( multiplication( multiplication( X, antidomain( Y ) )
% 10.01/10.44 , Y ), zero ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60957, [ =( multiplication( multiplication( X, Y ), Z ),
% 10.01/10.44 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 10.01/10.44 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 10.01/10.44 multiplication( multiplication( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60961, [ =( multiplication( multiplication( X, Y ), coantidomain( Y
% 10.01/10.44 ) ), multiplication( X, zero ) ) ] )
% 10.01/10.44 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 10.01/10.44 , 0, clause( 60957, [ =( multiplication( multiplication( X, Y ), Z ),
% 10.01/10.44 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y ), :=( Z, coantidomain( Y ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60962, [ =( multiplication( multiplication( X, Y ), coantidomain( Y
% 10.01/10.44 ) ), zero ) ] )
% 10.01/10.44 , clause( 11, [ =( multiplication( X, zero ), zero ) ] )
% 10.01/10.44 , 0, clause( 60961, [ =( multiplication( multiplication( X, Y ),
% 10.01/10.44 coantidomain( Y ) ), multiplication( X, zero ) ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 45, [ =( multiplication( multiplication( Y, X ), coantidomain( X )
% 10.01/10.44 ), zero ) ] )
% 10.01/10.44 , clause( 60962, [ =( multiplication( multiplication( X, Y ), coantidomain(
% 10.01/10.44 Y ) ), zero ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60964, [ ~( =( antidomain( 'sK2_goals_X0' ), addition( antidomain(
% 10.01/10.44 'sK1_goals_X1' ), antidomain( 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.44 , clause( 24, [ ~( =( addition( antidomain( 'sK1_goals_X1' ), antidomain(
% 10.01/10.44 'sK2_goals_X0' ) ), antidomain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60965, [ ~( =( antidomain( 'sK2_goals_X0' ), addition( antidomain(
% 10.01/10.44 'sK2_goals_X0' ), antidomain( 'sK1_goals_X1' ) ) ) ) ] )
% 10.01/10.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, clause( 60964, [ ~( =( antidomain( 'sK2_goals_X0' ), addition(
% 10.01/10.44 antidomain( 'sK1_goals_X1' ), antidomain( 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.44 , 0, 4, substitution( 0, [ :=( X, antidomain( 'sK1_goals_X1' ) ), :=( Y,
% 10.01/10.44 antidomain( 'sK2_goals_X0' ) )] ), substitution( 1, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60968, [ ~( =( addition( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.44 , clause( 60965, [ ~( =( antidomain( 'sK2_goals_X0' ), addition( antidomain(
% 10.01/10.44 'sK2_goals_X0' ), antidomain( 'sK1_goals_X1' ) ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 47, [ ~( =( addition( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.44 , clause( 60968, [ ~( =( addition( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60969, [ =( zero, multiplication( multiplication( X, antidomain( Y
% 10.01/10.44 ) ), Y ) ) ] )
% 10.01/10.44 , clause( 44, [ =( multiplication( multiplication( Y, antidomain( X ) ), X
% 10.01/10.44 ), zero ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60971, [ =( zero, multiplication( multiplication( multiplication( X
% 10.01/10.44 , antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ] )
% 10.01/10.44 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 10.01/10.44 multiplication( multiplication( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, clause( 60969, [ =( zero, multiplication( multiplication( X,
% 10.01/10.44 antidomain( Y ) ), Y ) ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, multiplication( X, antidomain(
% 10.01/10.44 multiplication( Y, Z ) ) ) ), :=( Y, Y ), :=( Z, Z )] ), substitution( 1
% 10.01/10.44 , [ :=( X, X ), :=( Y, multiplication( Y, Z ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60972, [ =( multiplication( multiplication( multiplication( X,
% 10.01/10.44 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 10.01/10.44 , clause( 60971, [ =( zero, multiplication( multiplication( multiplication(
% 10.01/10.44 X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 48, [ =( multiplication( multiplication( multiplication( X,
% 10.01/10.44 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 10.01/10.44 , clause( 60972, [ =( multiplication( multiplication( multiplication( X,
% 10.01/10.44 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60974, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 10.01/10.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60977, [ =( multiplication( multiplication( X, antidomain( Y ) ),
% 10.01/10.44 addition( Y, Z ) ), addition( zero, multiplication( multiplication( X,
% 10.01/10.44 antidomain( Y ) ), Z ) ) ) ] )
% 10.01/10.44 , clause( 44, [ =( multiplication( multiplication( Y, antidomain( X ) ), X
% 10.01/10.44 ), zero ) ] )
% 10.01/10.44 , 0, clause( 60974, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 10.01/10.44 :=( X, multiplication( X, antidomain( Y ) ) ), :=( Y, Y ), :=( Z, Z )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60979, [ =( multiplication( multiplication( X, antidomain( Y ) ),
% 10.01/10.44 addition( Y, Z ) ), multiplication( multiplication( X, antidomain( Y ) )
% 10.01/10.44 , Z ) ) ] )
% 10.01/10.44 , clause( 33, [ =( addition( zero, X ), X ) ] )
% 10.01/10.44 , 0, clause( 60977, [ =( multiplication( multiplication( X, antidomain( Y )
% 10.01/10.44 ), addition( Y, Z ) ), addition( zero, multiplication( multiplication( X
% 10.01/10.44 , antidomain( Y ) ), Z ) ) ) ] )
% 10.01/10.44 , 0, 9, substitution( 0, [ :=( X, multiplication( multiplication( X,
% 10.01/10.44 antidomain( Y ) ), Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 10.01/10.44 :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 49, [ =( multiplication( multiplication( X, antidomain( Y ) ),
% 10.01/10.44 addition( Y, Z ) ), multiplication( multiplication( X, antidomain( Y ) )
% 10.01/10.44 , Z ) ) ] )
% 10.01/10.44 , clause( 60979, [ =( multiplication( multiplication( X, antidomain( Y ) )
% 10.01/10.44 , addition( Y, Z ) ), multiplication( multiplication( X, antidomain( Y )
% 10.01/10.44 ), Z ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60982, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 10.01/10.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60984, [ =( multiplication( multiplication( X, Y ), addition(
% 10.01/10.44 coantidomain( Y ), Z ) ), addition( zero, multiplication( multiplication(
% 10.01/10.44 X, Y ), Z ) ) ) ] )
% 10.01/10.44 , clause( 45, [ =( multiplication( multiplication( Y, X ), coantidomain( X
% 10.01/10.44 ) ), zero ) ] )
% 10.01/10.44 , 0, clause( 60982, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 10.01/10.44 :=( X, multiplication( X, Y ) ), :=( Y, coantidomain( Y ) ), :=( Z, Z )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60986, [ =( multiplication( multiplication( X, Y ), addition(
% 10.01/10.44 coantidomain( Y ), Z ) ), multiplication( multiplication( X, Y ), Z ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 33, [ =( addition( zero, X ), X ) ] )
% 10.01/10.44 , 0, clause( 60984, [ =( multiplication( multiplication( X, Y ), addition(
% 10.01/10.44 coantidomain( Y ), Z ) ), addition( zero, multiplication( multiplication(
% 10.01/10.44 X, Y ), Z ) ) ) ] )
% 10.01/10.44 , 0, 9, substitution( 0, [ :=( X, multiplication( multiplication( X, Y ), Z
% 10.01/10.44 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 51, [ =( multiplication( multiplication( X, Y ), addition(
% 10.01/10.44 coantidomain( Y ), Z ) ), multiplication( multiplication( X, Y ), Z ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 60986, [ =( multiplication( multiplication( X, Y ), addition(
% 10.01/10.44 coantidomain( Y ), Z ) ), multiplication( multiplication( X, Y ), Z ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60989, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 10.01/10.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60991, [ =( multiplication( coantidomain( X ), addition( codomain(
% 10.01/10.44 X ), Y ) ), addition( zero, multiplication( coantidomain( X ), Y ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 26, [ =( multiplication( coantidomain( X ), codomain( X ) ), zero
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, clause( 60989, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 coantidomain( X ) ), :=( Y, codomain( X ) ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60993, [ =( multiplication( coantidomain( X ), addition( codomain(
% 10.01/10.44 X ), Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 10.01/10.44 , clause( 33, [ =( addition( zero, X ), X ) ] )
% 10.01/10.44 , 0, clause( 60991, [ =( multiplication( coantidomain( X ), addition(
% 10.01/10.44 codomain( X ), Y ) ), addition( zero, multiplication( coantidomain( X ),
% 10.01/10.44 Y ) ) ) ] )
% 10.01/10.44 , 0, 8, substitution( 0, [ :=( X, multiplication( coantidomain( X ), Y ) )] )
% 10.01/10.44 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 55, [ =( multiplication( coantidomain( X ), addition( codomain( X )
% 10.01/10.44 , Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 10.01/10.44 , clause( 60993, [ =( multiplication( coantidomain( X ), addition( codomain(
% 10.01/10.44 X ), Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60996, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 10.01/10.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 60997, [ =( multiplication( X, addition( one, Y ) ), addition( X,
% 10.01/10.44 multiplication( X, Y ) ) ) ] )
% 10.01/10.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.44 , 0, clause( 60996, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, one ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 60999, [ =( addition( X, multiplication( X, Y ) ), multiplication(
% 10.01/10.44 X, addition( one, Y ) ) ) ] )
% 10.01/10.44 , clause( 60997, [ =( multiplication( X, addition( one, Y ) ), addition( X
% 10.01/10.44 , multiplication( X, Y ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 65, [ =( addition( X, multiplication( X, Y ) ), multiplication( X,
% 10.01/10.44 addition( one, Y ) ) ) ] )
% 10.01/10.44 , clause( 60999, [ =( addition( X, multiplication( X, Y ) ), multiplication(
% 10.01/10.44 X, addition( one, Y ) ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61002, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 10.01/10.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61004, [ =( multiplication( X, addition( Y, one ) ), addition(
% 10.01/10.44 multiplication( X, Y ), X ) ) ] )
% 10.01/10.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.44 , 0, clause( 61002, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y ), :=( Z, one )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61006, [ =( addition( multiplication( X, Y ), X ), multiplication(
% 10.01/10.44 X, addition( Y, one ) ) ) ] )
% 10.01/10.44 , clause( 61004, [ =( multiplication( X, addition( Y, one ) ), addition(
% 10.01/10.44 multiplication( X, Y ), X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 66, [ =( addition( multiplication( X, Y ), X ), multiplication( X,
% 10.01/10.44 addition( Y, one ) ) ) ] )
% 10.01/10.44 , clause( 61006, [ =( addition( multiplication( X, Y ), X ), multiplication(
% 10.01/10.44 X, addition( Y, one ) ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61009, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 , 0, clause( 21, [ =( addition( coantidomain( coantidomain( X ) ),
% 10.01/10.44 coantidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 67, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61009, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ]
% 10.01/10.44 )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61012, [ =( one, addition( codomain( X ), coantidomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 67, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61014, [ =( one, addition( coantidomain( codomain( X ) ),
% 10.01/10.44 coantidomain( coantidomain( X ) ) ) ) ] )
% 10.01/10.44 , clause( 25, [ =( codomain( coantidomain( X ) ), coantidomain( codomain( X
% 10.01/10.44 ) ) ) ] )
% 10.01/10.44 , 0, clause( 61012, [ =( one, addition( codomain( X ), coantidomain( X ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 coantidomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61015, [ =( one, addition( coantidomain( codomain( X ) ), codomain(
% 10.01/10.44 X ) ) ) ] )
% 10.01/10.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 , 0, clause( 61014, [ =( one, addition( coantidomain( codomain( X ) ),
% 10.01/10.44 coantidomain( coantidomain( X ) ) ) ) ] )
% 10.01/10.44 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61016, [ =( addition( coantidomain( codomain( X ) ), codomain( X )
% 10.01/10.44 ), one ) ] )
% 10.01/10.44 , clause( 61015, [ =( one, addition( coantidomain( codomain( X ) ),
% 10.01/10.44 codomain( X ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 68, [ =( addition( coantidomain( codomain( X ) ), codomain( X ) ),
% 10.01/10.44 one ) ] )
% 10.01/10.44 , clause( 61016, [ =( addition( coantidomain( codomain( X ) ), codomain( X
% 10.01/10.44 ) ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61017, [ =( one, addition( codomain( X ), coantidomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 67, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61018, [ =( one, addition( coantidomain( X ), codomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, clause( 61017, [ =( one, addition( codomain( X ), coantidomain( X ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, codomain( X ) ), :=( Y, coantidomain( X )
% 10.01/10.44 )] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61021, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 61018, [ =( one, addition( coantidomain( X ), codomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 70, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61021, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ]
% 10.01/10.44 )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61023, [ =( one, addition( codomain( X ), coantidomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 67, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61026, [ =( one, addition( coantidomain( zero ), coantidomain( one
% 10.01/10.44 ) ) ) ] )
% 10.01/10.44 , clause( 28, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 10.01/10.44 , 0, clause( 61023, [ =( one, addition( codomain( X ), coantidomain( X ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, one )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61027, [ =( one, addition( coantidomain( zero ), zero ) ) ] )
% 10.01/10.44 , clause( 27, [ =( coantidomain( one ), zero ) ] )
% 10.01/10.44 , 0, clause( 61026, [ =( one, addition( coantidomain( zero ), coantidomain(
% 10.01/10.44 one ) ) ) ] )
% 10.01/10.44 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61028, [ =( one, coantidomain( zero ) ) ] )
% 10.01/10.44 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 10.01/10.44 , 0, clause( 61027, [ =( one, addition( coantidomain( zero ), zero ) ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, coantidomain( zero ) )] ), substitution(
% 10.01/10.44 1, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61029, [ =( coantidomain( zero ), one ) ] )
% 10.01/10.44 , clause( 61028, [ =( one, coantidomain( zero ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 71, [ =( coantidomain( zero ), one ) ] )
% 10.01/10.44 , clause( 61029, [ =( coantidomain( zero ), one ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61031, [ =( multiplication( addition( X, Z ), Y ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 10.01/10.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 10.01/10.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61033, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 10.01/10.44 addition( zero, multiplication( Y, X ) ) ) ] )
% 10.01/10.44 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 10.01/10.44 , 0, clause( 61031, [ =( multiplication( addition( X, Z ), Y ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 10.01/10.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 antidomain( X ) ), :=( Y, X ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61035, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 10.01/10.44 multiplication( Y, X ) ) ] )
% 10.01/10.44 , clause( 33, [ =( addition( zero, X ), X ) ] )
% 10.01/10.44 , 0, clause( 61033, [ =( multiplication( addition( antidomain( X ), Y ), X
% 10.01/10.44 ), addition( zero, multiplication( Y, X ) ) ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, multiplication( Y, X ) )] ),
% 10.01/10.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 85, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 10.01/10.44 multiplication( Y, X ) ) ] )
% 10.01/10.44 , clause( 61035, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 10.01/10.44 multiplication( Y, X ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61038, [ =( multiplication( addition( X, Z ), Y ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 10.01/10.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 10.01/10.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61041, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 10.01/10.44 addition( zero, multiplication( Y, coantidomain( X ) ) ) ) ] )
% 10.01/10.44 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 10.01/10.44 , 0, clause( 61038, [ =( multiplication( addition( X, Z ), Y ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 10.01/10.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, coantidomain( X ) ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61043, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 10.01/10.44 multiplication( Y, coantidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 33, [ =( addition( zero, X ), X ) ] )
% 10.01/10.44 , 0, clause( 61041, [ =( multiplication( addition( X, Y ), coantidomain( X
% 10.01/10.44 ) ), addition( zero, multiplication( Y, coantidomain( X ) ) ) ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, multiplication( Y, coantidomain( X ) ) )] )
% 10.01/10.44 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 87, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 10.01/10.44 multiplication( Y, coantidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 61043, [ =( multiplication( addition( X, Y ), coantidomain( X ) )
% 10.01/10.44 , multiplication( Y, coantidomain( X ) ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61046, [ =( multiplication( addition( X, Z ), Y ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 10.01/10.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 10.01/10.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61047, [ =( multiplication( addition( one, X ), Y ), addition( Y,
% 10.01/10.44 multiplication( X, Y ) ) ) ] )
% 10.01/10.44 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.44 , 0, clause( 61046, [ =( multiplication( addition( X, Z ), Y ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, one ),
% 10.01/10.44 :=( Y, Y ), :=( Z, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61049, [ =( addition( Y, multiplication( X, Y ) ), multiplication(
% 10.01/10.44 addition( one, X ), Y ) ) ] )
% 10.01/10.44 , clause( 61047, [ =( multiplication( addition( one, X ), Y ), addition( Y
% 10.01/10.44 , multiplication( X, Y ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 89, [ =( addition( X, multiplication( Y, X ) ), multiplication(
% 10.01/10.44 addition( one, Y ), X ) ) ] )
% 10.01/10.44 , clause( 61049, [ =( addition( Y, multiplication( X, Y ) ), multiplication(
% 10.01/10.44 addition( one, X ), Y ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61052, [ =( multiplication( addition( X, Z ), Y ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 10.01/10.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 10.01/10.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61054, [ =( multiplication( addition( X, one ), Y ), addition(
% 10.01/10.44 multiplication( X, Y ), Y ) ) ] )
% 10.01/10.44 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.44 , 0, clause( 61052, [ =( multiplication( addition( X, Z ), Y ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 10.01/10.44 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y ), :=( Z, one )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61056, [ =( addition( multiplication( X, Y ), Y ), multiplication(
% 10.01/10.44 addition( X, one ), Y ) ) ] )
% 10.01/10.44 , clause( 61054, [ =( multiplication( addition( X, one ), Y ), addition(
% 10.01/10.44 multiplication( X, Y ), Y ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 90, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 10.01/10.44 addition( Y, one ), X ) ) ] )
% 10.01/10.44 , clause( 61056, [ =( addition( multiplication( X, Y ), Y ), multiplication(
% 10.01/10.44 addition( X, one ), Y ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61058, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61059, [ =( multiplication( X, Y ), ifeq( leq( multiplication( Z, Y
% 10.01/10.44 ), multiplication( X, Y ) ), true, multiplication( addition( Z, X ), Y )
% 10.01/10.44 , multiplication( X, Y ) ) ) ] )
% 10.01/10.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 10.01/10.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, clause( 61058, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 10.01/10.44 substitution( 1, [ :=( X, multiplication( Z, Y ) ), :=( Y, multiplication(
% 10.01/10.44 X, Y ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61060, [ =( ifeq( leq( multiplication( Z, Y ), multiplication( X, Y
% 10.01/10.44 ) ), true, multiplication( addition( Z, X ), Y ), multiplication( X, Y )
% 10.01/10.44 ), multiplication( X, Y ) ) ] )
% 10.01/10.44 , clause( 61059, [ =( multiplication( X, Y ), ifeq( leq( multiplication( Z
% 10.01/10.44 , Y ), multiplication( X, Y ) ), true, multiplication( addition( Z, X ),
% 10.01/10.44 Y ), multiplication( X, Y ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 95, [ =( ifeq( leq( multiplication( X, Y ), multiplication( Z, Y )
% 10.01/10.44 ), true, multiplication( addition( X, Z ), Y ), multiplication( Z, Y ) )
% 10.01/10.44 , multiplication( Z, Y ) ) ] )
% 10.01/10.44 , clause( 61060, [ =( ifeq( leq( multiplication( Z, Y ), multiplication( X
% 10.01/10.44 , Y ) ), true, multiplication( addition( Z, X ), Y ), multiplication( X,
% 10.01/10.44 Y ) ), multiplication( X, Y ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61062, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61063, [ =( multiplication( X, Y ), ifeq( leq( multiplication( X, Z
% 10.01/10.44 ), multiplication( X, Y ) ), true, multiplication( X, addition( Z, Y ) )
% 10.01/10.44 , multiplication( X, Y ) ) ) ] )
% 10.01/10.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 10.01/10.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, clause( 61062, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 10.01/10.44 substitution( 1, [ :=( X, multiplication( X, Z ) ), :=( Y, multiplication(
% 10.01/10.44 X, Y ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61064, [ =( ifeq( leq( multiplication( X, Z ), multiplication( X, Y
% 10.01/10.44 ) ), true, multiplication( X, addition( Z, Y ) ), multiplication( X, Y )
% 10.01/10.44 ), multiplication( X, Y ) ) ] )
% 10.01/10.44 , clause( 61063, [ =( multiplication( X, Y ), ifeq( leq( multiplication( X
% 10.01/10.44 , Z ), multiplication( X, Y ) ), true, multiplication( X, addition( Z, Y
% 10.01/10.44 ) ), multiplication( X, Y ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 97, [ =( ifeq( leq( multiplication( X, Y ), multiplication( X, Z )
% 10.01/10.44 ), true, multiplication( X, addition( Y, Z ) ), multiplication( X, Z ) )
% 10.01/10.44 , multiplication( X, Z ) ) ] )
% 10.01/10.44 , clause( 61064, [ =( ifeq( leq( multiplication( X, Z ), multiplication( X
% 10.01/10.44 , Y ) ), true, multiplication( X, addition( Z, Y ) ), multiplication( X,
% 10.01/10.44 Y ) ), multiplication( X, Y ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61065, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61066, [ =( X, ifeq( leq( Y, X ), true, addition( X, Y ), X ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, clause( 61065, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 10.01/10.44 :=( X, Y ), :=( Y, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61069, [ =( ifeq( leq( Y, X ), true, addition( X, Y ), X ), X ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 61066, [ =( X, ifeq( leq( Y, X ), true, addition( X, Y ), X ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 101, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ] )
% 10.01/10.44 , clause( 61069, [ =( ifeq( leq( Y, X ), true, addition( X, Y ), X ), X ) ]
% 10.01/10.44 )
% 10.01/10.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61072, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , 0, clause( 17, [ =( addition( antidomain( antidomain( X ) ), antidomain(
% 10.01/10.44 X ) ), one ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 107, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61072, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61075, [ =( one, addition( domain( X ), antidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 107, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61077, [ =( one, addition( antidomain( domain( X ) ), antidomain(
% 10.01/10.44 antidomain( X ) ) ) ) ] )
% 10.01/10.44 , clause( 29, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, clause( 61075, [ =( one, addition( domain( X ), antidomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 antidomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61078, [ =( one, addition( antidomain( domain( X ) ), domain( X ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , 0, clause( 61077, [ =( one, addition( antidomain( domain( X ) ),
% 10.01/10.44 antidomain( antidomain( X ) ) ) ) ] )
% 10.01/10.44 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61079, [ =( addition( antidomain( domain( X ) ), domain( X ) ), one
% 10.01/10.44 ) ] )
% 10.01/10.44 , clause( 61078, [ =( one, addition( antidomain( domain( X ) ), domain( X )
% 10.01/10.44 ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 109, [ =( addition( antidomain( domain( X ) ), domain( X ) ), one )
% 10.01/10.44 ] )
% 10.01/10.44 , clause( 61079, [ =( addition( antidomain( domain( X ) ), domain( X ) ),
% 10.01/10.44 one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61081, [ =( one, addition( domain( X ), antidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 107, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61084, [ =( one, addition( antidomain( zero ), antidomain( one ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , clause( 34, [ =( domain( one ), antidomain( zero ) ) ] )
% 10.01/10.44 , 0, clause( 61081, [ =( one, addition( domain( X ), antidomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, one )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61085, [ =( one, addition( antidomain( zero ), zero ) ) ] )
% 10.01/10.44 , clause( 31, [ =( antidomain( one ), zero ) ] )
% 10.01/10.44 , 0, clause( 61084, [ =( one, addition( antidomain( zero ), antidomain( one
% 10.01/10.44 ) ) ) ] )
% 10.01/10.44 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61086, [ =( one, antidomain( zero ) ) ] )
% 10.01/10.44 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 10.01/10.44 , 0, clause( 61085, [ =( one, addition( antidomain( zero ), zero ) ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, antidomain( zero ) )] ), substitution( 1
% 10.01/10.44 , [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61087, [ =( antidomain( zero ), one ) ] )
% 10.01/10.44 , clause( 61086, [ =( one, antidomain( zero ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 111, [ =( antidomain( zero ), one ) ] )
% 10.01/10.44 , clause( 61087, [ =( antidomain( zero ), one ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61088, [ =( one, addition( domain( X ), antidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 107, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61089, [ =( one, addition( antidomain( X ), domain( X ) ) ) ] )
% 10.01/10.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, clause( 61088, [ =( one, addition( domain( X ), antidomain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, domain( X ) ), :=( Y, antidomain( X ) )] )
% 10.01/10.44 , substitution( 1, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61092, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61089, [ =( one, addition( antidomain( X ), domain( X ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 112, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61092, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61094, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ), true ) )
% 10.01/10.44 ] )
% 10.01/10.44 , clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true )
% 10.01/10.44 ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61096, [ =( true, ifeq2( X, X, leq( zero, X ), true ) ) ] )
% 10.01/10.44 , clause( 33, [ =( addition( zero, X ), X ) ] )
% 10.01/10.44 , 0, clause( 61094, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ),
% 10.01/10.44 true ) ) ] )
% 10.01/10.44 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, zero )
% 10.01/10.44 , :=( Y, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61097, [ =( true, leq( zero, X ) ) ] )
% 10.01/10.44 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 10.01/10.44 , 0, clause( 61096, [ =( true, ifeq2( X, X, leq( zero, X ), true ) ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, leq( zero, X ) ), :=( Z, true
% 10.01/10.44 )] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61098, [ =( leq( zero, X ), true ) ] )
% 10.01/10.44 , clause( 61097, [ =( true, leq( zero, X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 125, [ =( leq( zero, X ), true ) ] )
% 10.01/10.44 , clause( 61098, [ =( leq( zero, X ), true ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61102, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ),
% 10.01/10.44 antidomain( multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , 0, clause( 16, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ),
% 10.01/10.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ] )
% 10.01/10.44 , 0, 15, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61103, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.44 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 10.01/10.44 multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.44 , 0, clause( 61102, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ),
% 10.01/10.44 antidomain( multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.44 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.44 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 10.01/10.44 multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.44 , clause( 61103, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.44 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 10.01/10.44 multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61108, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 10.01/10.44 Y, Z ) ) ) ] )
% 10.01/10.44 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 10.01/10.44 ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61110, [ =( addition( addition( X, antidomain( Y ) ), domain( Y ) )
% 10.01/10.44 , addition( X, one ) ) ] )
% 10.01/10.44 , clause( 112, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 10.01/10.44 , 0, clause( 61108, [ =( addition( addition( X, Y ), Z ), addition( X,
% 10.01/10.44 addition( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, antidomain( Y ) ), :=( Z, domain( Y ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 134, [ =( addition( addition( Y, antidomain( X ) ), domain( X ) ),
% 10.01/10.44 addition( Y, one ) ) ] )
% 10.01/10.44 , clause( 61110, [ =( addition( addition( X, antidomain( Y ) ), domain( Y )
% 10.01/10.44 ), addition( X, one ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61116, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 10.01/10.44 , coantidomain( multiplication( codomain( X ), Y ) ) ) ] )
% 10.01/10.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 , 0, clause( 20, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 10.01/10.44 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61117, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 10.01/10.44 multiplication( codomain( X ), Y ) ) ) ] )
% 10.01/10.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.44 , 0, clause( 61116, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 10.01/10.44 , coantidomain( multiplication( codomain( X ), Y ) ) ) ] )
% 10.01/10.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 137, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 10.01/10.44 multiplication( codomain( X ), Y ) ) ) ] )
% 10.01/10.44 , clause( 61117, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.44 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 10.01/10.44 multiplication( codomain( X ), Y ) ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61122, [ =( addition( X, Y ), addition( addition( X, Y ), Y ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 40, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61124, [ =( addition( antidomain( domain( X ) ), domain( X ) ),
% 10.01/10.44 addition( one, domain( X ) ) ) ] )
% 10.01/10.44 , clause( 109, [ =( addition( antidomain( domain( X ) ), domain( X ) ), one
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, clause( 61122, [ =( addition( X, Y ), addition( addition( X, Y ), Y )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 antidomain( domain( X ) ) ), :=( Y, domain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61125, [ =( one, addition( one, domain( X ) ) ) ] )
% 10.01/10.44 , clause( 109, [ =( addition( antidomain( domain( X ) ), domain( X ) ), one
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, clause( 61124, [ =( addition( antidomain( domain( X ) ), domain( X ) )
% 10.01/10.44 , addition( one, domain( X ) ) ) ] )
% 10.01/10.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61127, [ =( addition( one, domain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61125, [ =( one, addition( one, domain( X ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 141, [ =( addition( one, domain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61127, [ =( addition( one, domain( X ) ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61130, [ =( addition( X, Y ), addition( addition( X, Y ), Y ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 40, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61132, [ =( addition( domain( X ), antidomain( X ) ), addition( one
% 10.01/10.44 , antidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 107, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, clause( 61130, [ =( addition( X, Y ), addition( addition( X, Y ), Y )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 10.01/10.44 X ) ), :=( Y, antidomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61133, [ =( one, addition( one, antidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 107, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, clause( 61132, [ =( addition( domain( X ), antidomain( X ) ), addition(
% 10.01/10.44 one, antidomain( X ) ) ) ] )
% 10.01/10.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61135, [ =( addition( one, antidomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61133, [ =( one, addition( one, antidomain( X ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 144, [ =( addition( one, antidomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61135, [ =( addition( one, antidomain( X ) ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61138, [ =( addition( X, Y ), addition( addition( X, Y ), Y ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 40, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61140, [ =( addition( coantidomain( codomain( X ) ), codomain( X )
% 10.01/10.44 ), addition( one, codomain( X ) ) ) ] )
% 10.01/10.44 , clause( 68, [ =( addition( coantidomain( codomain( X ) ), codomain( X ) )
% 10.01/10.44 , one ) ] )
% 10.01/10.44 , 0, clause( 61138, [ =( addition( X, Y ), addition( addition( X, Y ), Y )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 coantidomain( codomain( X ) ) ), :=( Y, codomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61141, [ =( one, addition( one, codomain( X ) ) ) ] )
% 10.01/10.44 , clause( 68, [ =( addition( coantidomain( codomain( X ) ), codomain( X ) )
% 10.01/10.44 , one ) ] )
% 10.01/10.44 , 0, clause( 61140, [ =( addition( coantidomain( codomain( X ) ), codomain(
% 10.01/10.44 X ) ), addition( one, codomain( X ) ) ) ] )
% 10.01/10.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61143, [ =( addition( one, codomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61141, [ =( one, addition( one, codomain( X ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 145, [ =( addition( one, codomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61143, [ =( addition( one, codomain( X ) ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61146, [ =( addition( X, Y ), addition( addition( X, Y ), Y ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , clause( 40, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61148, [ =( addition( codomain( X ), coantidomain( X ) ), addition(
% 10.01/10.44 one, coantidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 67, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, clause( 61146, [ =( addition( X, Y ), addition( addition( X, Y ), Y )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 codomain( X ) ), :=( Y, coantidomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61149, [ =( one, addition( one, coantidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 67, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, clause( 61148, [ =( addition( codomain( X ), coantidomain( X ) ),
% 10.01/10.44 addition( one, coantidomain( X ) ) ) ] )
% 10.01/10.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61151, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61149, [ =( one, addition( one, coantidomain( X ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 148, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 10.01/10.44 , clause( 61151, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61153, [ =( one, addition( one, domain( X ) ) ) ] )
% 10.01/10.44 , clause( 141, [ =( addition( one, domain( X ) ), one ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61154, [ =( one, addition( domain( X ), one ) ) ] )
% 10.01/10.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, clause( 61153, [ =( one, addition( one, domain( X ) ) ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, one ), :=( Y, domain( X ) )] ),
% 10.01/10.44 substitution( 1, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61157, [ =( addition( domain( X ), one ), one ) ] )
% 10.01/10.44 , clause( 61154, [ =( one, addition( domain( X ), one ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 154, [ =( addition( domain( X ), one ), one ) ] )
% 10.01/10.44 , clause( 61157, [ =( addition( domain( X ), one ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61159, [ =( addition( addition( Y, Z ), X ), addition( addition( X
% 10.01/10.44 , Y ), Z ) ) ] )
% 10.01/10.44 , clause( 36, [ =( addition( addition( X, Y ), Z ), addition( addition( Y,
% 10.01/10.44 Z ), X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61161, [ =( addition( addition( domain( X ), Y ), one ), addition(
% 10.01/10.44 one, Y ) ) ] )
% 10.01/10.44 , clause( 141, [ =( addition( one, domain( X ) ), one ) ] )
% 10.01/10.44 , 0, clause( 61159, [ =( addition( addition( Y, Z ), X ), addition(
% 10.01/10.44 addition( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, one ),
% 10.01/10.44 :=( Y, domain( X ) ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 179, [ =( addition( addition( domain( X ), Y ), one ), addition(
% 10.01/10.44 one, Y ) ) ] )
% 10.01/10.44 , clause( 61161, [ =( addition( addition( domain( X ), Y ), one ), addition(
% 10.01/10.44 one, Y ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61164, [ =( addition( addition( Y, Z ), X ), addition( addition( X
% 10.01/10.44 , Y ), Z ) ) ] )
% 10.01/10.44 , clause( 36, [ =( addition( addition( X, Y ), Z ), addition( addition( Y,
% 10.01/10.44 Z ), X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61166, [ =( addition( addition( Y, X ), Z ), addition( addition( Z
% 10.01/10.44 , X ), Y ) ) ] )
% 10.01/10.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, clause( 61164, [ =( addition( addition( Y, Z ), X ), addition(
% 10.01/10.44 addition( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 10.01/10.44 :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 196, [ =( addition( addition( Z, X ), Y ), addition( addition( Y, X
% 10.01/10.44 ), Z ) ) ] )
% 10.01/10.44 , clause( 61166, [ =( addition( addition( Y, X ), Z ), addition( addition(
% 10.01/10.44 Z, X ), Y ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 10.01/10.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61181, [ =( one, addition( one, codomain( X ) ) ) ] )
% 10.01/10.44 , clause( 145, [ =( addition( one, codomain( X ) ), one ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61182, [ =( one, addition( codomain( X ), one ) ) ] )
% 10.01/10.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 10.01/10.44 , 0, clause( 61181, [ =( one, addition( one, codomain( X ) ) ) ] )
% 10.01/10.44 , 0, 2, substitution( 0, [ :=( X, one ), :=( Y, codomain( X ) )] ),
% 10.01/10.44 substitution( 1, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61185, [ =( addition( codomain( X ), one ), one ) ] )
% 10.01/10.44 , clause( 61182, [ =( one, addition( codomain( X ), one ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 201, [ =( addition( codomain( X ), one ), one ) ] )
% 10.01/10.44 , clause( 61185, [ =( addition( codomain( X ), one ), one ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61187, [ =( multiplication( multiplication( X, antidomain( Y ) ), Z
% 10.01/10.44 ), multiplication( multiplication( X, antidomain( Y ) ), addition( Y, Z
% 10.01/10.44 ) ) ) ] )
% 10.01/10.44 , clause( 49, [ =( multiplication( multiplication( X, antidomain( Y ) ),
% 10.01/10.44 addition( Y, Z ) ), multiplication( multiplication( X, antidomain( Y ) )
% 10.01/10.44 , Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61189, [ =( multiplication( multiplication( X, antidomain( domain(
% 10.01/10.44 Y ) ) ), antidomain( Y ) ), multiplication( multiplication( X, antidomain(
% 10.01/10.44 domain( Y ) ) ), one ) ) ] )
% 10.01/10.44 , clause( 107, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.44 , 0, clause( 61187, [ =( multiplication( multiplication( X, antidomain( Y )
% 10.01/10.44 ), Z ), multiplication( multiplication( X, antidomain( Y ) ), addition(
% 10.01/10.44 Y, Z ) ) ) ] )
% 10.01/10.44 , 0, 15, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, domain( Y ) ), :=( Z, antidomain( Y ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61190, [ =( multiplication( multiplication( X, antidomain( domain(
% 10.01/10.44 Y ) ) ), antidomain( Y ) ), multiplication( X, antidomain( domain( Y ) )
% 10.01/10.44 ) ) ] )
% 10.01/10.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.44 , 0, clause( 61189, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.44 domain( Y ) ) ), antidomain( Y ) ), multiplication( multiplication( X,
% 10.01/10.44 antidomain( domain( Y ) ) ), one ) ) ] )
% 10.01/10.44 , 0, 9, substitution( 0, [ :=( X, multiplication( X, antidomain( domain( Y
% 10.01/10.44 ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 283, [ =( multiplication( multiplication( Y, antidomain( domain( X
% 10.01/10.44 ) ) ), antidomain( X ) ), multiplication( Y, antidomain( domain( X ) ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , clause( 61190, [ =( multiplication( multiplication( X, antidomain( domain(
% 10.01/10.44 Y ) ) ), antidomain( Y ) ), multiplication( X, antidomain( domain( Y ) )
% 10.01/10.44 ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61193, [ =( multiplication( multiplication( X, antidomain( Y ) ), Z
% 10.01/10.44 ), multiplication( multiplication( X, antidomain( Y ) ), addition( Y, Z
% 10.01/10.44 ) ) ) ] )
% 10.01/10.44 , clause( 49, [ =( multiplication( multiplication( X, antidomain( Y ) ),
% 10.01/10.44 addition( Y, Z ) ), multiplication( multiplication( X, antidomain( Y ) )
% 10.01/10.44 , Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61195, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), 'sK2_goals_X0' ), multiplication( multiplication( X,
% 10.01/10.44 antidomain( 'sK1_goals_X1' ) ), 'sK1_goals_X1' ) ) ] )
% 10.01/10.44 , clause( 32, [ =( addition( 'sK1_goals_X1', 'sK2_goals_X0' ),
% 10.01/10.44 'sK1_goals_X1' ) ] )
% 10.01/10.44 , 0, clause( 61193, [ =( multiplication( multiplication( X, antidomain( Y )
% 10.01/10.44 ), Z ), multiplication( multiplication( X, antidomain( Y ) ), addition(
% 10.01/10.44 Y, Z ) ) ) ] )
% 10.01/10.44 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 10.01/10.44 'sK1_goals_X1' ), :=( Z, 'sK2_goals_X0' )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61196, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), 'sK2_goals_X0' ), zero ) ] )
% 10.01/10.44 , clause( 44, [ =( multiplication( multiplication( Y, antidomain( X ) ), X
% 10.01/10.44 ), zero ) ] )
% 10.01/10.44 , 0, clause( 61195, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), 'sK2_goals_X0' ), multiplication( multiplication( X,
% 10.01/10.44 antidomain( 'sK1_goals_X1' ) ), 'sK1_goals_X1' ) ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, 'sK1_goals_X1' ), :=( Y, X )] ),
% 10.01/10.44 substitution( 1, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 288, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), 'sK2_goals_X0' ), zero ) ] )
% 10.01/10.44 , clause( 61196, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), 'sK2_goals_X0' ), zero ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61199, [ =( zero, multiplication( multiplication( X, antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), 'sK2_goals_X0' ) ) ] )
% 10.01/10.44 , clause( 288, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.44 'sK1_goals_X1' ) ), 'sK2_goals_X0' ), zero ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61200, [ =( zero, multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.44 'sK2_goals_X0' ) ) ] )
% 10.01/10.44 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.44 , 0, clause( 61199, [ =( zero, multiplication( multiplication( X,
% 10.01/10.44 antidomain( 'sK1_goals_X1' ) ), 'sK2_goals_X0' ) ) ] )
% 10.01/10.44 , 0, 3, substitution( 0, [ :=( X, antidomain( 'sK1_goals_X1' ) )] ),
% 10.01/10.44 substitution( 1, [ :=( X, one )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61201, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.44 'sK2_goals_X0' ), zero ) ] )
% 10.01/10.44 , clause( 61200, [ =( zero, multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.44 'sK2_goals_X0' ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 293, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.44 'sK2_goals_X0' ), zero ) ] )
% 10.01/10.44 , clause( 61201, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.44 'sK2_goals_X0' ), zero ) ] )
% 10.01/10.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61203, [ =( multiplication( Y, X ), multiplication( addition(
% 10.01/10.44 antidomain( X ), Y ), X ) ) ] )
% 10.01/10.44 , clause( 85, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 10.01/10.44 multiplication( Y, X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61205, [ =( multiplication( domain( X ), X ), multiplication( one,
% 10.01/10.44 X ) ) ] )
% 10.01/10.44 , clause( 112, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 10.01/10.44 , 0, clause( 61203, [ =( multiplication( Y, X ), multiplication( addition(
% 10.01/10.44 antidomain( X ), Y ), X ) ) ] )
% 10.01/10.44 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, domain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61206, [ =( multiplication( domain( X ), X ), X ) ] )
% 10.01/10.44 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.44 , 0, clause( 61205, [ =( multiplication( domain( X ), X ), multiplication(
% 10.01/10.44 one, X ) ) ] )
% 10.01/10.44 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 307, [ =( multiplication( domain( X ), X ), X ) ] )
% 10.01/10.44 , clause( 61206, [ =( multiplication( domain( X ), X ), X ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61209, [ =( X, multiplication( domain( X ), X ) ) ] )
% 10.01/10.44 , clause( 307, [ =( multiplication( domain( X ), X ), X ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61210, [ =( antidomain( X ), multiplication( antidomain( domain( X
% 10.01/10.44 ) ), antidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 29, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, clause( 61209, [ =( X, multiplication( domain( X ), X ) ) ] )
% 10.01/10.44 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 antidomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61211, [ =( multiplication( antidomain( domain( X ) ), antidomain(
% 10.01/10.44 X ) ), antidomain( X ) ) ] )
% 10.01/10.44 , clause( 61210, [ =( antidomain( X ), multiplication( antidomain( domain(
% 10.01/10.44 X ) ), antidomain( X ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 319, [ =( multiplication( antidomain( domain( X ) ), antidomain( X
% 10.01/10.44 ) ), antidomain( X ) ) ] )
% 10.01/10.44 , clause( 61211, [ =( multiplication( antidomain( domain( X ) ), antidomain(
% 10.01/10.44 X ) ), antidomain( X ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61213, [ =( multiplication( multiplication( X, Y ), Z ),
% 10.01/10.44 multiplication( multiplication( X, Y ), addition( coantidomain( Y ), Z )
% 10.01/10.44 ) ) ] )
% 10.01/10.44 , clause( 51, [ =( multiplication( multiplication( X, Y ), addition(
% 10.01/10.44 coantidomain( Y ), Z ) ), multiplication( multiplication( X, Y ), Z ) ) ]
% 10.01/10.44 )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61215, [ =( multiplication( multiplication( X, Y ), codomain( Y ) )
% 10.01/10.44 , multiplication( multiplication( X, Y ), one ) ) ] )
% 10.01/10.44 , clause( 70, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 10.01/10.44 , 0, clause( 61213, [ =( multiplication( multiplication( X, Y ), Z ),
% 10.01/10.44 multiplication( multiplication( X, Y ), addition( coantidomain( Y ), Z )
% 10.01/10.44 ) ) ] )
% 10.01/10.44 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, Y ), :=( Z, codomain( Y ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61216, [ =( multiplication( multiplication( X, Y ), codomain( Y ) )
% 10.01/10.44 , multiplication( X, Y ) ) ] )
% 10.01/10.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.44 , 0, clause( 61215, [ =( multiplication( multiplication( X, Y ), codomain(
% 10.01/10.44 Y ) ), multiplication( multiplication( X, Y ), one ) ) ] )
% 10.01/10.44 , 0, 7, substitution( 0, [ :=( X, multiplication( X, Y ) )] ),
% 10.01/10.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 326, [ =( multiplication( multiplication( Y, X ), codomain( X ) ),
% 10.01/10.44 multiplication( Y, X ) ) ] )
% 10.01/10.44 , clause( 61216, [ =( multiplication( multiplication( X, Y ), codomain( Y )
% 10.01/10.44 ), multiplication( X, Y ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61219, [ =( multiplication( multiplication( X, Y ), Z ),
% 10.01/10.44 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 10.01/10.44 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 10.01/10.44 multiplication( multiplication( X, Y ), Z ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61222, [ =( multiplication( multiplication( X, antidomain( domain(
% 10.01/10.44 Y ) ) ), antidomain( Y ) ), multiplication( X, antidomain( Y ) ) ) ] )
% 10.01/10.44 , clause( 319, [ =( multiplication( antidomain( domain( X ) ), antidomain(
% 10.01/10.44 X ) ), antidomain( X ) ) ] )
% 10.01/10.44 , 0, clause( 61219, [ =( multiplication( multiplication( X, Y ), Z ),
% 10.01/10.44 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 10.01/10.44 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, antidomain( domain( Y ) ) ), :=( Z, antidomain( Y ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61223, [ =( multiplication( X, antidomain( domain( Y ) ) ),
% 10.01/10.44 multiplication( X, antidomain( Y ) ) ) ] )
% 10.01/10.44 , clause( 283, [ =( multiplication( multiplication( Y, antidomain( domain(
% 10.01/10.44 X ) ) ), antidomain( X ) ), multiplication( Y, antidomain( domain( X ) )
% 10.01/10.44 ) ) ] )
% 10.01/10.44 , 0, clause( 61222, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.44 domain( Y ) ) ), antidomain( Y ) ), multiplication( X, antidomain( Y ) )
% 10.01/10.44 ) ] )
% 10.01/10.44 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 10.01/10.44 :=( X, X ), :=( Y, Y )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 330, [ =( multiplication( Y, antidomain( domain( X ) ) ),
% 10.01/10.44 multiplication( Y, antidomain( X ) ) ) ] )
% 10.01/10.44 , clause( 61223, [ =( multiplication( X, antidomain( domain( Y ) ) ),
% 10.01/10.44 multiplication( X, antidomain( Y ) ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.44 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61226, [ =( multiplication( X, Y ), multiplication( multiplication(
% 10.01/10.44 X, Y ), codomain( Y ) ) ) ] )
% 10.01/10.44 , clause( 326, [ =( multiplication( multiplication( Y, X ), codomain( X ) )
% 10.01/10.44 , multiplication( Y, X ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61228, [ =( multiplication( domain( X ), X ), multiplication( X,
% 10.01/10.44 codomain( X ) ) ) ] )
% 10.01/10.44 , clause( 307, [ =( multiplication( domain( X ), X ), X ) ] )
% 10.01/10.44 , 0, clause( 61226, [ =( multiplication( X, Y ), multiplication(
% 10.01/10.44 multiplication( X, Y ), codomain( Y ) ) ) ] )
% 10.01/10.44 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 10.01/10.44 X ) ), :=( Y, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61229, [ =( X, multiplication( X, codomain( X ) ) ) ] )
% 10.01/10.44 , clause( 307, [ =( multiplication( domain( X ), X ), X ) ] )
% 10.01/10.44 , 0, clause( 61228, [ =( multiplication( domain( X ), X ), multiplication(
% 10.01/10.44 X, codomain( X ) ) ) ] )
% 10.01/10.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.44 ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61231, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 10.01/10.44 , clause( 61229, [ =( X, multiplication( X, codomain( X ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 335, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 10.01/10.44 , clause( 61231, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61234, [ =( zero, multiplication( multiplication( X, Y ),
% 10.01/10.44 coantidomain( Y ) ) ) ] )
% 10.01/10.44 , clause( 45, [ =( multiplication( multiplication( Y, X ), coantidomain( X
% 10.01/10.44 ) ), zero ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61235, [ =( zero, multiplication( X, coantidomain( codomain( X ) )
% 10.01/10.44 ) ) ] )
% 10.01/10.44 , clause( 335, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 10.01/10.44 , 0, clause( 61234, [ =( zero, multiplication( multiplication( X, Y ),
% 10.01/10.44 coantidomain( Y ) ) ) ] )
% 10.01/10.44 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.44 :=( Y, codomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61236, [ =( multiplication( X, coantidomain( codomain( X ) ) ),
% 10.01/10.44 zero ) ] )
% 10.01/10.44 , clause( 61235, [ =( zero, multiplication( X, coantidomain( codomain( X )
% 10.01/10.44 ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 347, [ =( multiplication( X, coantidomain( codomain( X ) ) ), zero
% 10.01/10.44 ) ] )
% 10.01/10.44 , clause( 61236, [ =( multiplication( X, coantidomain( codomain( X ) ) ),
% 10.01/10.44 zero ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61238, [ =( X, multiplication( X, codomain( X ) ) ) ] )
% 10.01/10.44 , clause( 335, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 paramod(
% 10.01/10.44 clause( 61239, [ =( coantidomain( X ), multiplication( coantidomain( X ),
% 10.01/10.44 coantidomain( codomain( X ) ) ) ) ] )
% 10.01/10.44 , clause( 25, [ =( codomain( coantidomain( X ) ), coantidomain( codomain( X
% 10.01/10.44 ) ) ) ] )
% 10.01/10.44 , 0, clause( 61238, [ =( X, multiplication( X, codomain( X ) ) ) ] )
% 10.01/10.44 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.44 coantidomain( X ) )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61240, [ =( multiplication( coantidomain( X ), coantidomain(
% 10.01/10.44 codomain( X ) ) ), coantidomain( X ) ) ] )
% 10.01/10.44 , clause( 61239, [ =( coantidomain( X ), multiplication( coantidomain( X )
% 10.01/10.44 , coantidomain( codomain( X ) ) ) ) ] )
% 10.01/10.44 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 subsumption(
% 10.01/10.44 clause( 348, [ =( multiplication( coantidomain( X ), coantidomain( codomain(
% 10.01/10.44 X ) ) ), coantidomain( X ) ) ] )
% 10.01/10.44 , clause( 61240, [ =( multiplication( coantidomain( X ), coantidomain(
% 10.01/10.44 codomain( X ) ) ), coantidomain( X ) ) ] )
% 10.01/10.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.44
% 10.01/10.44
% 10.01/10.44 eqswap(
% 10.01/10.44 clause( 61242, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 10.01/10.45 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61245, [ =( multiplication( X, addition( Y, antidomain( domain( Z )
% 10.01/10.45 ) ) ), addition( multiplication( X, Y ), multiplication( X, antidomain(
% 10.01/10.45 Z ) ) ) ) ] )
% 10.01/10.45 , clause( 330, [ =( multiplication( Y, antidomain( domain( X ) ) ),
% 10.01/10.45 multiplication( Y, antidomain( X ) ) ) ] )
% 10.01/10.45 , 0, clause( 61242, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 10.01/10.45 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 10.01/10.45 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 10.01/10.45 :=( X, X ), :=( Y, Y ), :=( Z, antidomain( domain( Z ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61246, [ =( multiplication( X, addition( Y, antidomain( domain( Z )
% 10.01/10.45 ) ) ), multiplication( X, addition( Y, antidomain( Z ) ) ) ) ] )
% 10.01/10.45 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 10.01/10.45 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 10.01/10.45 , 0, clause( 61245, [ =( multiplication( X, addition( Y, antidomain( domain(
% 10.01/10.45 Z ) ) ) ), addition( multiplication( X, Y ), multiplication( X,
% 10.01/10.45 antidomain( Z ) ) ) ) ] )
% 10.01/10.45 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, antidomain( Z ) )] )
% 10.01/10.45 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 468, [ =( multiplication( X, addition( Z, antidomain( domain( Y ) )
% 10.01/10.45 ) ), multiplication( X, addition( Z, antidomain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 61246, [ =( multiplication( X, addition( Y, antidomain( domain( Z
% 10.01/10.45 ) ) ) ), multiplication( X, addition( Y, antidomain( Z ) ) ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 10.01/10.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61248, [ =( multiplication( X, antidomain( Y ) ), multiplication( X
% 10.01/10.45 , antidomain( domain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 330, [ =( multiplication( Y, antidomain( domain( X ) ) ),
% 10.01/10.45 multiplication( Y, antidomain( X ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61252, [ =( multiplication( one, antidomain( X ) ), antidomain(
% 10.01/10.45 domain( X ) ) ) ] )
% 10.01/10.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.45 , 0, clause( 61248, [ =( multiplication( X, antidomain( Y ) ),
% 10.01/10.45 multiplication( X, antidomain( domain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, 5, substitution( 0, [ :=( X, antidomain( domain( X ) ) )] ),
% 10.01/10.45 substitution( 1, [ :=( X, one ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61254, [ =( antidomain( X ), antidomain( domain( X ) ) ) ] )
% 10.01/10.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.45 , 0, clause( 61252, [ =( multiplication( one, antidomain( X ) ), antidomain(
% 10.01/10.45 domain( X ) ) ) ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, antidomain( X ) )] ), substitution( 1, [
% 10.01/10.45 :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61255, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , clause( 61254, [ =( antidomain( X ), antidomain( domain( X ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 473, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , clause( 61255, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61257, [ =( antidomain( X ), antidomain( domain( X ) ) ) ] )
% 10.01/10.45 , clause( 473, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61263, [ =( antidomain( antidomain( X ) ), antidomain( antidomain(
% 10.01/10.45 domain( X ) ) ) ) ] )
% 10.01/10.45 , clause( 29, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, clause( 61257, [ =( antidomain( X ), antidomain( domain( X ) ) ) ] )
% 10.01/10.45 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 antidomain( X ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61265, [ =( antidomain( antidomain( X ) ), domain( domain( X ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61263, [ =( antidomain( antidomain( X ) ), antidomain(
% 10.01/10.45 antidomain( domain( X ) ) ) ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, domain( X ) )] ), substitution( 1, [ :=(
% 10.01/10.45 X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61267, [ =( domain( X ), domain( domain( X ) ) ) ] )
% 10.01/10.45 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61265, [ =( antidomain( antidomain( X ) ), domain( domain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61268, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , clause( 61267, [ =( domain( X ), domain( domain( X ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 478, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , clause( 61268, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61270, [ =( multiplication( X, addition( one, Y ) ), addition( X,
% 10.01/10.45 multiplication( X, Y ) ) ) ] )
% 10.01/10.45 , clause( 65, [ =( addition( X, multiplication( X, Y ) ), multiplication( X
% 10.01/10.45 , addition( one, Y ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61274, [ =( multiplication( X, addition( one, antidomain( domain( Y
% 10.01/10.45 ) ) ) ), addition( X, multiplication( X, antidomain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 330, [ =( multiplication( Y, antidomain( domain( X ) ) ),
% 10.01/10.45 multiplication( Y, antidomain( X ) ) ) ] )
% 10.01/10.45 , 0, clause( 61270, [ =( multiplication( X, addition( one, Y ) ), addition(
% 10.01/10.45 X, multiplication( X, Y ) ) ) ] )
% 10.01/10.45 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 10.01/10.45 :=( X, X ), :=( Y, antidomain( domain( Y ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61275, [ =( multiplication( X, addition( one, antidomain( Y ) ) ),
% 10.01/10.45 addition( X, multiplication( X, antidomain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 468, [ =( multiplication( X, addition( Z, antidomain( domain( Y )
% 10.01/10.45 ) ) ), multiplication( X, addition( Z, antidomain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, clause( 61274, [ =( multiplication( X, addition( one, antidomain(
% 10.01/10.45 domain( Y ) ) ) ), addition( X, multiplication( X, antidomain( Y ) ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, one )] ),
% 10.01/10.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61276, [ =( multiplication( X, one ), addition( X, multiplication(
% 10.01/10.45 X, antidomain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 144, [ =( addition( one, antidomain( X ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61275, [ =( multiplication( X, addition( one, antidomain( Y )
% 10.01/10.45 ) ), addition( X, multiplication( X, antidomain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61277, [ =( X, addition( X, multiplication( X, antidomain( Y ) ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61276, [ =( multiplication( X, one ), addition( X,
% 10.01/10.45 multiplication( X, antidomain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61278, [ =( addition( X, multiplication( X, antidomain( Y ) ) ), X
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 61277, [ =( X, addition( X, multiplication( X, antidomain( Y ) )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 627, [ =( addition( X, multiplication( X, antidomain( Y ) ) ), X )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 61278, [ =( addition( X, multiplication( X, antidomain( Y ) ) ),
% 10.01/10.45 X ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61280, [ =( multiplication( X, addition( one, Y ) ), addition( X,
% 10.01/10.45 multiplication( X, Y ) ) ) ] )
% 10.01/10.45 , clause( 65, [ =( addition( X, multiplication( X, Y ) ), multiplication( X
% 10.01/10.45 , addition( one, Y ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61282, [ =( multiplication( X, one ), addition( X, multiplication(
% 10.01/10.45 X, domain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 141, [ =( addition( one, domain( X ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61280, [ =( multiplication( X, addition( one, Y ) ), addition(
% 10.01/10.45 X, multiplication( X, Y ) ) ) ] )
% 10.01/10.45 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, domain( Y ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61283, [ =( X, addition( X, multiplication( X, domain( Y ) ) ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61282, [ =( multiplication( X, one ), addition( X,
% 10.01/10.45 multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61284, [ =( addition( X, multiplication( X, domain( Y ) ) ), X ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 61283, [ =( X, addition( X, multiplication( X, domain( Y ) ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 644, [ =( addition( Y, multiplication( Y, domain( X ) ) ), Y ) ] )
% 10.01/10.45 , clause( 61284, [ =( addition( X, multiplication( X, domain( Y ) ) ), X )
% 10.01/10.45 ] )
% 10.01/10.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61286, [ =( multiplication( X, addition( Y, one ) ), addition(
% 10.01/10.45 multiplication( X, Y ), X ) ) ] )
% 10.01/10.45 , clause( 66, [ =( addition( multiplication( X, Y ), X ), multiplication( X
% 10.01/10.45 , addition( Y, one ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61288, [ =( multiplication( X, one ), addition( multiplication( X,
% 10.01/10.45 codomain( Y ) ), X ) ) ] )
% 10.01/10.45 , clause( 201, [ =( addition( codomain( X ), one ), one ) ] )
% 10.01/10.45 , 0, clause( 61286, [ =( multiplication( X, addition( Y, one ) ), addition(
% 10.01/10.45 multiplication( X, Y ), X ) ) ] )
% 10.01/10.45 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, codomain( Y ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61289, [ =( X, addition( multiplication( X, codomain( Y ) ), X ) )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61288, [ =( multiplication( X, one ), addition( multiplication(
% 10.01/10.45 X, codomain( Y ) ), X ) ) ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61290, [ =( addition( multiplication( X, codomain( Y ) ), X ), X )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 61289, [ =( X, addition( multiplication( X, codomain( Y ) ), X )
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 703, [ =( addition( multiplication( Y, codomain( X ) ), Y ), Y ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 61290, [ =( addition( multiplication( X, codomain( Y ) ), X ), X
% 10.01/10.45 ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61292, [ =( addition( one, Y ), addition( addition( domain( X ), Y
% 10.01/10.45 ), one ) ) ] )
% 10.01/10.45 , clause( 179, [ =( addition( addition( domain( X ), Y ), one ), addition(
% 10.01/10.45 one, Y ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61295, [ =( addition( one, multiplication( domain( X ), domain( Y )
% 10.01/10.45 ) ), addition( domain( X ), one ) ) ] )
% 10.01/10.45 , clause( 644, [ =( addition( Y, multiplication( Y, domain( X ) ) ), Y ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, clause( 61292, [ =( addition( one, Y ), addition( addition( domain( X
% 10.01/10.45 ), Y ), one ) ) ] )
% 10.01/10.45 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, domain( X ) )] ),
% 10.01/10.45 substitution( 1, [ :=( X, X ), :=( Y, multiplication( domain( X ), domain(
% 10.01/10.45 Y ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61296, [ =( addition( one, multiplication( domain( X ), domain( Y )
% 10.01/10.45 ) ), one ) ] )
% 10.01/10.45 , clause( 154, [ =( addition( domain( X ), one ), one ) ] )
% 10.01/10.45 , 0, clause( 61295, [ =( addition( one, multiplication( domain( X ), domain(
% 10.01/10.45 Y ) ) ), addition( domain( X ), one ) ) ] )
% 10.01/10.45 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 790, [ =( addition( one, multiplication( domain( X ), domain( Y ) )
% 10.01/10.45 ), one ) ] )
% 10.01/10.45 , clause( 61296, [ =( addition( one, multiplication( domain( X ), domain( Y
% 10.01/10.45 ) ) ), one ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61299, [ =( addition( addition( Y, Z ), X ), addition( addition( X
% 10.01/10.45 , Y ), Z ) ) ] )
% 10.01/10.45 , clause( 36, [ =( addition( addition( X, Y ), Z ), addition( addition( Y,
% 10.01/10.45 Z ), X ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61313, [ =( addition( X, Z ), addition( addition( Z, X ),
% 10.01/10.45 multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 644, [ =( addition( Y, multiplication( Y, domain( X ) ) ), Y ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, clause( 61299, [ =( addition( addition( Y, Z ), X ), addition(
% 10.01/10.45 addition( X, Y ), Z ) ) ] )
% 10.01/10.45 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 10.01/10.45 :=( X, Z ), :=( Y, X ), :=( Z, multiplication( X, domain( Y ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61317, [ =( addition( addition( Y, X ), multiplication( X, domain(
% 10.01/10.45 Z ) ) ), addition( X, Y ) ) ] )
% 10.01/10.45 , clause( 61313, [ =( addition( X, Z ), addition( addition( Z, X ),
% 10.01/10.45 multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 794, [ =( addition( addition( Z, X ), multiplication( X, domain( Y
% 10.01/10.45 ) ) ), addition( X, Z ) ) ] )
% 10.01/10.45 , clause( 61317, [ =( addition( addition( Y, X ), multiplication( X, domain(
% 10.01/10.45 Z ) ) ), addition( X, Y ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 10.01/10.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61321, [ =( multiplication( X, addition( one, Y ) ), addition( X,
% 10.01/10.45 multiplication( X, Y ) ) ) ] )
% 10.01/10.45 , clause( 65, [ =( addition( X, multiplication( X, Y ) ), multiplication( X
% 10.01/10.45 , addition( one, Y ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61324, [ =( multiplication( X, one ), addition( X, multiplication(
% 10.01/10.45 X, multiplication( domain( Y ), domain( Z ) ) ) ) ) ] )
% 10.01/10.45 , clause( 790, [ =( addition( one, multiplication( domain( X ), domain( Y )
% 10.01/10.45 ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61321, [ =( multiplication( X, addition( one, Y ) ), addition(
% 10.01/10.45 X, multiplication( X, Y ) ) ) ] )
% 10.01/10.45 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 10.01/10.45 :=( X, X ), :=( Y, multiplication( domain( Y ), domain( Z ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61325, [ =( multiplication( X, one ), addition( X, multiplication(
% 10.01/10.45 multiplication( X, domain( Y ) ), domain( Z ) ) ) ) ] )
% 10.01/10.45 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 10.01/10.45 multiplication( multiplication( X, Y ), Z ) ) ] )
% 10.01/10.45 , 0, clause( 61324, [ =( multiplication( X, one ), addition( X,
% 10.01/10.45 multiplication( X, multiplication( domain( Y ), domain( Z ) ) ) ) ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, domain( Y ) ), :=( Z, domain(
% 10.01/10.45 Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61326, [ =( X, addition( X, multiplication( multiplication( X,
% 10.01/10.45 domain( Y ) ), domain( Z ) ) ) ) ] )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61325, [ =( multiplication( X, one ), addition( X,
% 10.01/10.45 multiplication( multiplication( X, domain( Y ) ), domain( Z ) ) ) ) ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61327, [ =( addition( X, multiplication( multiplication( X, domain(
% 10.01/10.45 Y ) ), domain( Z ) ) ), X ) ] )
% 10.01/10.45 , clause( 61326, [ =( X, addition( X, multiplication( multiplication( X,
% 10.01/10.45 domain( Y ) ), domain( Z ) ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 886, [ =( addition( Z, multiplication( multiplication( Z, domain( X
% 10.01/10.45 ) ), domain( Y ) ) ), Z ) ] )
% 10.01/10.45 , clause( 61327, [ =( addition( X, multiplication( multiplication( X,
% 10.01/10.45 domain( Y ) ), domain( Z ) ) ), X ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 10.01/10.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61330, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , clause( 473, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , 0, clause( 29, [ =( domain( antidomain( X ) ), antidomain( domain( X ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1003, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , clause( 61330, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61334, [ =( domain( one ), one ) ] )
% 10.01/10.45 , clause( 111, [ =( antidomain( zero ), one ) ] )
% 10.01/10.45 , 0, clause( 34, [ =( domain( one ), antidomain( zero ) ) ] )
% 10.01/10.45 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1004, [ =( domain( one ), one ) ] )
% 10.01/10.45 , clause( 61334, [ =( domain( one ), one ) ] )
% 10.01/10.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61337, [ =( multiplication( Y, coantidomain( X ) ), multiplication(
% 10.01/10.45 addition( X, Y ), coantidomain( X ) ) ) ] )
% 10.01/10.45 , clause( 87, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 10.01/10.45 multiplication( Y, coantidomain( X ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61340, [ =( multiplication( coantidomain( X ), coantidomain(
% 10.01/10.45 codomain( X ) ) ), multiplication( one, coantidomain( codomain( X ) ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 67, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61337, [ =( multiplication( Y, coantidomain( X ) ),
% 10.01/10.45 multiplication( addition( X, Y ), coantidomain( X ) ) ) ] )
% 10.01/10.45 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 codomain( X ) ), :=( Y, coantidomain( X ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61341, [ =( multiplication( coantidomain( X ), coantidomain(
% 10.01/10.45 codomain( X ) ) ), coantidomain( codomain( X ) ) ) ] )
% 10.01/10.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.45 , 0, clause( 61340, [ =( multiplication( coantidomain( X ), coantidomain(
% 10.01/10.45 codomain( X ) ) ), multiplication( one, coantidomain( codomain( X ) ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, coantidomain( codomain( X ) ) )] ),
% 10.01/10.45 substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61342, [ =( coantidomain( X ), coantidomain( codomain( X ) ) ) ] )
% 10.01/10.45 , clause( 348, [ =( multiplication( coantidomain( X ), coantidomain(
% 10.01/10.45 codomain( X ) ) ), coantidomain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61341, [ =( multiplication( coantidomain( X ), coantidomain(
% 10.01/10.45 codomain( X ) ) ), coantidomain( codomain( X ) ) ) ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61343, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 10.01/10.45 , clause( 61342, [ =( coantidomain( X ), coantidomain( codomain( X ) ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1042, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 10.01/10.45 , clause( 61343, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61345, [ =( multiplication( addition( one, Y ), X ), addition( X,
% 10.01/10.45 multiplication( Y, X ) ) ) ] )
% 10.01/10.45 , clause( 89, [ =( addition( X, multiplication( Y, X ) ), multiplication(
% 10.01/10.45 addition( one, Y ), X ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61350, [ =( multiplication( one, Y ), addition( Y, multiplication(
% 10.01/10.45 multiplication( one, antidomain( X ) ), Y ) ) ) ] )
% 10.01/10.45 , clause( 627, [ =( addition( X, multiplication( X, antidomain( Y ) ) ), X
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, clause( 61345, [ =( multiplication( addition( one, Y ), X ), addition(
% 10.01/10.45 X, multiplication( Y, X ) ) ) ] )
% 10.01/10.45 , 0, 2, substitution( 0, [ :=( X, one ), :=( Y, X )] ), substitution( 1, [
% 10.01/10.45 :=( X, Y ), :=( Y, multiplication( one, antidomain( X ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61353, [ =( multiplication( one, X ), addition( X, multiplication(
% 10.01/10.45 antidomain( Y ), X ) ) ) ] )
% 10.01/10.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.45 , 0, clause( 61350, [ =( multiplication( one, Y ), addition( Y,
% 10.01/10.45 multiplication( multiplication( one, antidomain( X ) ), Y ) ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, antidomain( Y ) )] ), substitution( 1, [
% 10.01/10.45 :=( X, Y ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61355, [ =( X, addition( X, multiplication( antidomain( Y ), X ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.45 , 0, clause( 61353, [ =( multiplication( one, X ), addition( X,
% 10.01/10.45 multiplication( antidomain( Y ), X ) ) ) ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61356, [ =( addition( X, multiplication( antidomain( Y ), X ) ), X
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 61355, [ =( X, addition( X, multiplication( antidomain( Y ), X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1121, [ =( addition( Y, multiplication( antidomain( X ), Y ) ), Y )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 61356, [ =( addition( X, multiplication( antidomain( Y ), X ) ),
% 10.01/10.45 X ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61358, [ =( multiplication( addition( one, Y ), X ), addition( X,
% 10.01/10.45 multiplication( Y, X ) ) ) ] )
% 10.01/10.45 , clause( 89, [ =( addition( X, multiplication( Y, X ) ), multiplication(
% 10.01/10.45 addition( one, Y ), X ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61365, [ =( multiplication( addition( one, multiplication( X, Y ) )
% 10.01/10.45 , codomain( Y ) ), addition( codomain( Y ), multiplication( X, Y ) ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 326, [ =( multiplication( multiplication( Y, X ), codomain( X ) )
% 10.01/10.45 , multiplication( Y, X ) ) ] )
% 10.01/10.45 , 0, clause( 61358, [ =( multiplication( addition( one, Y ), X ), addition(
% 10.01/10.45 X, multiplication( Y, X ) ) ) ] )
% 10.01/10.45 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 10.01/10.45 :=( X, codomain( Y ) ), :=( Y, multiplication( X, Y ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1134, [ =( multiplication( addition( one, multiplication( X, Y ) )
% 10.01/10.45 , codomain( Y ) ), addition( codomain( Y ), multiplication( X, Y ) ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 61365, [ =( multiplication( addition( one, multiplication( X, Y )
% 10.01/10.45 ), codomain( Y ) ), addition( codomain( Y ), multiplication( X, Y ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61368, [ =( multiplication( addition( X, one ), Y ), addition(
% 10.01/10.45 multiplication( X, Y ), Y ) ) ] )
% 10.01/10.45 , clause( 90, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 10.01/10.45 addition( Y, one ), X ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61373, [ =( multiplication( one, Y ), addition( multiplication(
% 10.01/10.45 multiplication( one, codomain( X ) ), Y ), Y ) ) ] )
% 10.01/10.45 , clause( 703, [ =( addition( multiplication( Y, codomain( X ) ), Y ), Y )
% 10.01/10.45 ] )
% 10.01/10.45 , 0, clause( 61368, [ =( multiplication( addition( X, one ), Y ), addition(
% 10.01/10.45 multiplication( X, Y ), Y ) ) ] )
% 10.01/10.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, one )] ), substitution( 1, [
% 10.01/10.45 :=( X, multiplication( one, codomain( X ) ) ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61376, [ =( multiplication( one, X ), addition( multiplication(
% 10.01/10.45 codomain( Y ), X ), X ) ) ] )
% 10.01/10.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.45 , 0, clause( 61373, [ =( multiplication( one, Y ), addition( multiplication(
% 10.01/10.45 multiplication( one, codomain( X ) ), Y ), Y ) ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, codomain( Y ) )] ), substitution( 1, [
% 10.01/10.45 :=( X, Y ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61378, [ =( X, addition( multiplication( codomain( Y ), X ), X ) )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.45 , 0, clause( 61376, [ =( multiplication( one, X ), addition( multiplication(
% 10.01/10.45 codomain( Y ), X ), X ) ) ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61379, [ =( addition( multiplication( codomain( Y ), X ), X ), X )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 61378, [ =( X, addition( multiplication( codomain( Y ), X ), X )
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1169, [ =( addition( multiplication( codomain( X ), Y ), Y ), Y ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 61379, [ =( addition( multiplication( codomain( Y ), X ), X ), X
% 10.01/10.45 ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61381, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ), true ) )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true )
% 10.01/10.45 ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61383, [ =( true, ifeq2( Y, Y, leq( multiplication( codomain( X ),
% 10.01/10.45 Y ), Y ), true ) ) ] )
% 10.01/10.45 , clause( 1169, [ =( addition( multiplication( codomain( X ), Y ), Y ), Y )
% 10.01/10.45 ] )
% 10.01/10.45 , 0, clause( 61381, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ),
% 10.01/10.45 true ) ) ] )
% 10.01/10.45 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 10.01/10.45 :=( X, multiplication( codomain( X ), Y ) ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61384, [ =( true, leq( multiplication( codomain( Y ), X ), X ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 10.01/10.45 , 0, clause( 61383, [ =( true, ifeq2( Y, Y, leq( multiplication( codomain(
% 10.01/10.45 X ), Y ), Y ), true ) ) ] )
% 10.01/10.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, leq( multiplication( codomain(
% 10.01/10.45 Y ), X ), X ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ), :=( Y,
% 10.01/10.45 X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61385, [ =( leq( multiplication( codomain( X ), Y ), Y ), true ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 61384, [ =( true, leq( multiplication( codomain( Y ), X ), X ) )
% 10.01/10.45 ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1248, [ =( leq( multiplication( codomain( X ), Y ), Y ), true ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 61385, [ =( leq( multiplication( codomain( X ), Y ), Y ), true )
% 10.01/10.45 ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61387, [ =( true, leq( multiplication( codomain( X ), Y ), Y ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 1248, [ =( leq( multiplication( codomain( X ), Y ), Y ), true ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61389, [ =( true, leq( multiplication( coantidomain( codomain( X )
% 10.01/10.45 ), Y ), Y ) ) ] )
% 10.01/10.45 , clause( 25, [ =( codomain( coantidomain( X ) ), coantidomain( codomain( X
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, clause( 61387, [ =( true, leq( multiplication( codomain( X ), Y ), Y )
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 coantidomain( X ) ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61390, [ =( true, leq( multiplication( coantidomain( X ), Y ), Y )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 1042, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, clause( 61389, [ =( true, leq( multiplication( coantidomain( codomain(
% 10.01/10.45 X ) ), Y ), Y ) ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61391, [ =( leq( multiplication( coantidomain( X ), Y ), Y ), true
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 61390, [ =( true, leq( multiplication( coantidomain( X ), Y ), Y
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1261, [ =( leq( multiplication( coantidomain( X ), Y ), Y ), true )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 61391, [ =( leq( multiplication( coantidomain( X ), Y ), Y ),
% 10.01/10.45 true ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61393, [ =( X, addition( X, multiplication( antidomain( Y ), X ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 1121, [ =( addition( Y, multiplication( antidomain( X ), Y ) ), Y
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61394, [ =( codomain( antidomain( X ) ), addition( codomain(
% 10.01/10.45 antidomain( X ) ), antidomain( X ) ) ) ] )
% 10.01/10.45 , clause( 335, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 10.01/10.45 , 0, clause( 61393, [ =( X, addition( X, multiplication( antidomain( Y ), X
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, 8, substitution( 0, [ :=( X, antidomain( X ) )] ), substitution( 1, [
% 10.01/10.45 :=( X, codomain( antidomain( X ) ) ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61395, [ =( addition( codomain( antidomain( X ) ), antidomain( X )
% 10.01/10.45 ), codomain( antidomain( X ) ) ) ] )
% 10.01/10.45 , clause( 61394, [ =( codomain( antidomain( X ) ), addition( codomain(
% 10.01/10.45 antidomain( X ) ), antidomain( X ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1320, [ =( addition( codomain( antidomain( X ) ), antidomain( X ) )
% 10.01/10.45 , codomain( antidomain( X ) ) ) ] )
% 10.01/10.45 , clause( 61395, [ =( addition( codomain( antidomain( X ) ), antidomain( X
% 10.01/10.45 ) ), codomain( antidomain( X ) ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61397, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 10.01/10.45 addition( antidomain( multiplication( X, Y ) ), antidomain(
% 10.01/10.45 multiplication( X, domain( Y ) ) ) ) ) ] )
% 10.01/10.45 , clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.45 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 10.01/10.45 multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61401, [ =( antidomain( multiplication( X, domain( coantidomain(
% 10.01/10.45 codomain( X ) ) ) ) ), addition( antidomain( zero ), antidomain(
% 10.01/10.45 multiplication( X, domain( coantidomain( codomain( X ) ) ) ) ) ) ) ] )
% 10.01/10.45 , clause( 347, [ =( multiplication( X, coantidomain( codomain( X ) ) ),
% 10.01/10.45 zero ) ] )
% 10.01/10.45 , 0, clause( 61397, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 10.01/10.45 addition( antidomain( multiplication( X, Y ) ), antidomain(
% 10.01/10.45 multiplication( X, domain( Y ) ) ) ) ) ] )
% 10.01/10.45 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, coantidomain( codomain( X ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61402, [ =( antidomain( multiplication( X, domain( coantidomain(
% 10.01/10.45 codomain( X ) ) ) ) ), addition( one, antidomain( multiplication( X,
% 10.01/10.45 domain( coantidomain( codomain( X ) ) ) ) ) ) ) ] )
% 10.01/10.45 , clause( 111, [ =( antidomain( zero ), one ) ] )
% 10.01/10.45 , 0, clause( 61401, [ =( antidomain( multiplication( X, domain(
% 10.01/10.45 coantidomain( codomain( X ) ) ) ) ), addition( antidomain( zero ),
% 10.01/10.45 antidomain( multiplication( X, domain( coantidomain( codomain( X ) ) ) )
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61403, [ =( antidomain( multiplication( X, domain( coantidomain(
% 10.01/10.45 codomain( X ) ) ) ) ), one ) ] )
% 10.01/10.45 , clause( 144, [ =( addition( one, antidomain( X ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61402, [ =( antidomain( multiplication( X, domain(
% 10.01/10.45 coantidomain( codomain( X ) ) ) ) ), addition( one, antidomain(
% 10.01/10.45 multiplication( X, domain( coantidomain( codomain( X ) ) ) ) ) ) ) ] )
% 10.01/10.45 , 0, 8, substitution( 0, [ :=( X, multiplication( X, domain( coantidomain(
% 10.01/10.45 codomain( X ) ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61404, [ =( antidomain( multiplication( X, domain( coantidomain( X
% 10.01/10.45 ) ) ) ), one ) ] )
% 10.01/10.45 , clause( 1042, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, clause( 61403, [ =( antidomain( multiplication( X, domain(
% 10.01/10.45 coantidomain( codomain( X ) ) ) ) ), one ) ] )
% 10.01/10.45 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1830, [ =( antidomain( multiplication( X, domain( coantidomain( X )
% 10.01/10.45 ) ) ), one ) ] )
% 10.01/10.45 , clause( 61404, [ =( antidomain( multiplication( X, domain( coantidomain(
% 10.01/10.45 X ) ) ) ), one ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61407, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 10.01/10.45 addition( antidomain( multiplication( X, Y ) ), antidomain(
% 10.01/10.45 multiplication( X, domain( Y ) ) ) ) ) ] )
% 10.01/10.45 , clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 10.01/10.45 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 10.01/10.45 multiplication( X, domain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61410, [ =( antidomain( multiplication( antidomain( 'sK1_goals_X1'
% 10.01/10.45 ), domain( 'sK2_goals_X0' ) ) ), addition( antidomain( zero ),
% 10.01/10.45 antidomain( multiplication( antidomain( 'sK1_goals_X1' ), domain(
% 10.01/10.45 'sK2_goals_X0' ) ) ) ) ) ] )
% 10.01/10.45 , clause( 293, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 'sK2_goals_X0' ), zero ) ] )
% 10.01/10.45 , 0, clause( 61407, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 10.01/10.45 addition( antidomain( multiplication( X, Y ) ), antidomain(
% 10.01/10.45 multiplication( X, domain( Y ) ) ) ) ) ] )
% 10.01/10.45 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), :=( Y, 'sK2_goals_X0' )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61411, [ =( antidomain( multiplication( antidomain( 'sK1_goals_X1'
% 10.01/10.45 ), domain( 'sK2_goals_X0' ) ) ), addition( one, antidomain(
% 10.01/10.45 multiplication( antidomain( 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) )
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , clause( 111, [ =( antidomain( zero ), one ) ] )
% 10.01/10.45 , 0, clause( 61410, [ =( antidomain( multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) ), addition( antidomain(
% 10.01/10.45 zero ), antidomain( multiplication( antidomain( 'sK1_goals_X1' ), domain(
% 10.01/10.45 'sK2_goals_X0' ) ) ) ) ) ] )
% 10.01/10.45 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61412, [ =( antidomain( multiplication( antidomain( 'sK1_goals_X1'
% 10.01/10.45 ), domain( 'sK2_goals_X0' ) ) ), one ) ] )
% 10.01/10.45 , clause( 144, [ =( addition( one, antidomain( X ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61411, [ =( antidomain( multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) ), addition( one, antidomain(
% 10.01/10.45 multiplication( antidomain( 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) )
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) )] ), substitution( 1, [] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1832, [ =( antidomain( multiplication( antidomain( 'sK1_goals_X1' )
% 10.01/10.45 , domain( 'sK2_goals_X0' ) ) ), one ) ] )
% 10.01/10.45 , clause( 61412, [ =( antidomain( multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) ), one ) ] )
% 10.01/10.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61415, [ =( zero, multiplication( multiplication( multiplication( X
% 10.01/10.45 , antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ] )
% 10.01/10.45 , clause( 48, [ =( multiplication( multiplication( multiplication( X,
% 10.01/10.45 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61417, [ =( zero, multiplication( multiplication( multiplication( X
% 10.01/10.45 , one ), antidomain( 'sK1_goals_X1' ) ), domain( 'sK2_goals_X0' ) ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 1832, [ =( antidomain( multiplication( antidomain( 'sK1_goals_X1'
% 10.01/10.45 ), domain( 'sK2_goals_X0' ) ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61415, [ =( zero, multiplication( multiplication(
% 10.01/10.45 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 10.01/10.45 antidomain( 'sK1_goals_X1' ) ), :=( Z, domain( 'sK2_goals_X0' ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61418, [ =( zero, multiplication( multiplication( X, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), domain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61417, [ =( zero, multiplication( multiplication(
% 10.01/10.45 multiplication( X, one ), antidomain( 'sK1_goals_X1' ) ), domain(
% 10.01/10.45 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61419, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), domain( 'sK2_goals_X0' ) ), zero ) ] )
% 10.01/10.45 , clause( 61418, [ =( zero, multiplication( multiplication( X, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), domain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1846, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), domain( 'sK2_goals_X0' ) ), zero ) ] )
% 10.01/10.45 , clause( 61419, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), domain( 'sK2_goals_X0' ) ), zero ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61421, [ =( zero, multiplication( domain( X ), antidomain( X ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 30, [ =( multiplication( domain( X ), antidomain( X ) ), zero ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61423, [ =( zero, multiplication( domain( multiplication(
% 10.01/10.45 antidomain( 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) ), one ) ) ] )
% 10.01/10.45 , clause( 1832, [ =( antidomain( multiplication( antidomain( 'sK1_goals_X1'
% 10.01/10.45 ), domain( 'sK2_goals_X0' ) ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61421, [ =( zero, multiplication( domain( X ), antidomain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, multiplication(
% 10.01/10.45 antidomain( 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61424, [ =( zero, domain( multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61423, [ =( zero, multiplication( domain( multiplication(
% 10.01/10.45 antidomain( 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) ), one ) ) ] )
% 10.01/10.45 , 0, 2, substitution( 0, [ :=( X, domain( multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) ) )] ), substitution( 1, [] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61425, [ =( domain( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 domain( 'sK2_goals_X0' ) ) ), zero ) ] )
% 10.01/10.45 , clause( 61424, [ =( zero, domain( multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1847, [ =( domain( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 domain( 'sK2_goals_X0' ) ) ), zero ) ] )
% 10.01/10.45 , clause( 61425, [ =( domain( multiplication( antidomain( 'sK1_goals_X1' )
% 10.01/10.45 , domain( 'sK2_goals_X0' ) ) ), zero ) ] )
% 10.01/10.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61427, [ =( X, multiplication( domain( X ), X ) ) ] )
% 10.01/10.45 , clause( 307, [ =( multiplication( domain( X ), X ), X ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61430, [ =( multiplication( antidomain( 'sK1_goals_X1' ), domain(
% 10.01/10.45 'sK2_goals_X0' ) ), multiplication( zero, multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.45 , clause( 1847, [ =( domain( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 domain( 'sK2_goals_X0' ) ) ), zero ) ] )
% 10.01/10.45 , 0, clause( 61427, [ =( X, multiplication( domain( X ), X ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, multiplication(
% 10.01/10.45 antidomain( 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61431, [ =( multiplication( antidomain( 'sK1_goals_X1' ), domain(
% 10.01/10.45 'sK2_goals_X0' ) ), multiplication( multiplication( zero, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), domain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.45 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 10.01/10.45 multiplication( multiplication( X, Y ), Z ) ) ] )
% 10.01/10.45 , 0, clause( 61430, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 domain( 'sK2_goals_X0' ) ), multiplication( zero, multiplication(
% 10.01/10.45 antidomain( 'sK1_goals_X1' ), domain( 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, zero ), :=( Y, antidomain( 'sK1_goals_X1'
% 10.01/10.45 ) ), :=( Z, domain( 'sK2_goals_X0' ) )] ), substitution( 1, [] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61432, [ =( multiplication( antidomain( 'sK1_goals_X1' ), domain(
% 10.01/10.45 'sK2_goals_X0' ) ), zero ) ] )
% 10.01/10.45 , clause( 1846, [ =( multiplication( multiplication( X, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), domain( 'sK2_goals_X0' ) ), zero ) ] )
% 10.01/10.45 , 0, clause( 61431, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 domain( 'sK2_goals_X0' ) ), multiplication( multiplication( zero,
% 10.01/10.45 antidomain( 'sK1_goals_X1' ) ), domain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, zero )] ), substitution( 1, [] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1848, [ =( multiplication( antidomain( 'sK1_goals_X1' ), domain(
% 10.01/10.45 'sK2_goals_X0' ) ), zero ) ] )
% 10.01/10.45 , clause( 61432, [ =( multiplication( antidomain( 'sK1_goals_X1' ), domain(
% 10.01/10.45 'sK2_goals_X0' ) ), zero ) ] )
% 10.01/10.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61435, [ =( multiplication( X, Z ), ifeq( leq( multiplication( X, Y
% 10.01/10.45 ), multiplication( X, Z ) ), true, multiplication( X, addition( Y, Z ) )
% 10.01/10.45 , multiplication( X, Z ) ) ) ] )
% 10.01/10.45 , clause( 97, [ =( ifeq( leq( multiplication( X, Y ), multiplication( X, Z
% 10.01/10.45 ) ), true, multiplication( X, addition( Y, Z ) ), multiplication( X, Z )
% 10.01/10.45 ), multiplication( X, Z ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61441, [ =( multiplication( antidomain( 'sK1_goals_X1' ), X ), ifeq(
% 10.01/10.45 leq( zero, multiplication( antidomain( 'sK1_goals_X1' ), X ) ), true,
% 10.01/10.45 multiplication( antidomain( 'sK1_goals_X1' ), addition( domain(
% 10.01/10.45 'sK2_goals_X0' ), X ) ), multiplication( antidomain( 'sK1_goals_X1' ), X
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , clause( 1848, [ =( multiplication( antidomain( 'sK1_goals_X1' ), domain(
% 10.01/10.45 'sK2_goals_X0' ) ), zero ) ] )
% 10.01/10.45 , 0, clause( 61435, [ =( multiplication( X, Z ), ifeq( leq( multiplication(
% 10.01/10.45 X, Y ), multiplication( X, Z ) ), true, multiplication( X, addition( Y, Z
% 10.01/10.45 ) ), multiplication( X, Z ) ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), :=( Y, domain( 'sK2_goals_X0' ) ), :=( Z, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61446, [ =( multiplication( antidomain( 'sK1_goals_X1' ), X ), ifeq(
% 10.01/10.45 true, true, multiplication( antidomain( 'sK1_goals_X1' ), addition(
% 10.01/10.45 domain( 'sK2_goals_X0' ), X ) ), multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), X ) ) ) ] )
% 10.01/10.45 , clause( 125, [ =( leq( zero, X ), true ) ] )
% 10.01/10.45 , 0, clause( 61441, [ =( multiplication( antidomain( 'sK1_goals_X1' ), X )
% 10.01/10.45 , ifeq( leq( zero, multiplication( antidomain( 'sK1_goals_X1' ), X ) ),
% 10.01/10.45 true, multiplication( antidomain( 'sK1_goals_X1' ), addition( domain(
% 10.01/10.45 'sK2_goals_X0' ), X ) ), multiplication( antidomain( 'sK1_goals_X1' ), X
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), X ) )] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61447, [ =( multiplication( antidomain( 'sK1_goals_X1' ), X ),
% 10.01/10.45 multiplication( antidomain( 'sK1_goals_X1' ), addition( domain(
% 10.01/10.45 'sK2_goals_X0' ), X ) ) ) ] )
% 10.01/10.45 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 10.01/10.45 , 0, clause( 61446, [ =( multiplication( antidomain( 'sK1_goals_X1' ), X )
% 10.01/10.45 , ifeq( true, true, multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 addition( domain( 'sK2_goals_X0' ), X ) ), multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), X ) ) ) ] )
% 10.01/10.45 , 0, 5, substitution( 0, [ :=( X, true ), :=( Y, multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), addition( domain( 'sK2_goals_X0' ), X ) ) ), :=( Z,
% 10.01/10.45 multiplication( antidomain( 'sK1_goals_X1' ), X ) )] ), substitution( 1
% 10.01/10.45 , [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61448, [ =( multiplication( antidomain( 'sK1_goals_X1' ), addition(
% 10.01/10.45 domain( 'sK2_goals_X0' ), X ) ), multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), X ) ) ] )
% 10.01/10.45 , clause( 61447, [ =( multiplication( antidomain( 'sK1_goals_X1' ), X ),
% 10.01/10.45 multiplication( antidomain( 'sK1_goals_X1' ), addition( domain(
% 10.01/10.45 'sK2_goals_X0' ), X ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1849, [ =( multiplication( antidomain( 'sK1_goals_X1' ), addition(
% 10.01/10.45 domain( 'sK2_goals_X0' ), X ) ), multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), X ) ) ] )
% 10.01/10.45 , clause( 61448, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 addition( domain( 'sK2_goals_X0' ), X ) ), multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), X ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61450, [ =( zero, multiplication( multiplication( multiplication( X
% 10.01/10.45 , antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ] )
% 10.01/10.45 , clause( 48, [ =( multiplication( multiplication( multiplication( X,
% 10.01/10.45 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61452, [ =( zero, multiplication( multiplication( multiplication( X
% 10.01/10.45 , one ), Y ), domain( coantidomain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 1830, [ =( antidomain( multiplication( X, domain( coantidomain( X
% 10.01/10.45 ) ) ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61450, [ =( zero, multiplication( multiplication(
% 10.01/10.45 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y ), :=( Z, domain( coantidomain( Y ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61453, [ =( zero, multiplication( multiplication( X, Y ), domain(
% 10.01/10.45 coantidomain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61452, [ =( zero, multiplication( multiplication(
% 10.01/10.45 multiplication( X, one ), Y ), domain( coantidomain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61454, [ =( multiplication( multiplication( X, Y ), domain(
% 10.01/10.45 coantidomain( Y ) ) ), zero ) ] )
% 10.01/10.45 , clause( 61453, [ =( zero, multiplication( multiplication( X, Y ), domain(
% 10.01/10.45 coantidomain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1865, [ =( multiplication( multiplication( Y, X ), domain(
% 10.01/10.45 coantidomain( X ) ) ), zero ) ] )
% 10.01/10.45 , clause( 61454, [ =( multiplication( multiplication( X, Y ), domain(
% 10.01/10.45 coantidomain( Y ) ) ), zero ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61456, [ =( zero, multiplication( domain( X ), antidomain( X ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 30, [ =( multiplication( domain( X ), antidomain( X ) ), zero ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61458, [ =( zero, multiplication( domain( multiplication( X, domain(
% 10.01/10.45 coantidomain( X ) ) ) ), one ) ) ] )
% 10.01/10.45 , clause( 1830, [ =( antidomain( multiplication( X, domain( coantidomain( X
% 10.01/10.45 ) ) ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61456, [ =( zero, multiplication( domain( X ), antidomain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 multiplication( X, domain( coantidomain( X ) ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61459, [ =( zero, domain( multiplication( X, domain( coantidomain(
% 10.01/10.45 X ) ) ) ) ) ] )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61458, [ =( zero, multiplication( domain( multiplication( X,
% 10.01/10.45 domain( coantidomain( X ) ) ) ), one ) ) ] )
% 10.01/10.45 , 0, 2, substitution( 0, [ :=( X, domain( multiplication( X, domain(
% 10.01/10.45 coantidomain( X ) ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61460, [ =( domain( multiplication( X, domain( coantidomain( X ) )
% 10.01/10.45 ) ), zero ) ] )
% 10.01/10.45 , clause( 61459, [ =( zero, domain( multiplication( X, domain( coantidomain(
% 10.01/10.45 X ) ) ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1866, [ =( domain( multiplication( X, domain( coantidomain( X ) ) )
% 10.01/10.45 ), zero ) ] )
% 10.01/10.45 , clause( 61460, [ =( domain( multiplication( X, domain( coantidomain( X )
% 10.01/10.45 ) ) ), zero ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61462, [ =( X, multiplication( domain( X ), X ) ) ] )
% 10.01/10.45 , clause( 307, [ =( multiplication( domain( X ), X ), X ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61465, [ =( multiplication( X, domain( coantidomain( X ) ) ),
% 10.01/10.45 multiplication( zero, multiplication( X, domain( coantidomain( X ) ) ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 1866, [ =( domain( multiplication( X, domain( coantidomain( X ) )
% 10.01/10.45 ) ), zero ) ] )
% 10.01/10.45 , 0, clause( 61462, [ =( X, multiplication( domain( X ), X ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 multiplication( X, domain( coantidomain( X ) ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61466, [ =( multiplication( X, domain( coantidomain( X ) ) ),
% 10.01/10.45 multiplication( multiplication( zero, X ), domain( coantidomain( X ) ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 10.01/10.45 multiplication( multiplication( X, Y ), Z ) ) ] )
% 10.01/10.45 , 0, clause( 61465, [ =( multiplication( X, domain( coantidomain( X ) ) ),
% 10.01/10.45 multiplication( zero, multiplication( X, domain( coantidomain( X ) ) ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, zero ), :=( Y, X ), :=( Z, domain(
% 10.01/10.45 coantidomain( X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61467, [ =( multiplication( X, domain( coantidomain( X ) ) ), zero
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 1865, [ =( multiplication( multiplication( Y, X ), domain(
% 10.01/10.45 coantidomain( X ) ) ), zero ) ] )
% 10.01/10.45 , 0, clause( 61466, [ =( multiplication( X, domain( coantidomain( X ) ) ),
% 10.01/10.45 multiplication( multiplication( zero, X ), domain( coantidomain( X ) ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, zero )] ), substitution( 1, [
% 10.01/10.45 :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 1869, [ =( multiplication( X, domain( coantidomain( X ) ) ), zero )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 61467, [ =( multiplication( X, domain( coantidomain( X ) ) ),
% 10.01/10.45 zero ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61470, [ =( coantidomain( multiplication( codomain( X ), Y ) ),
% 10.01/10.45 addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 10.01/10.45 multiplication( codomain( X ), Y ) ) ) ) ] )
% 10.01/10.45 , clause( 137, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 10.01/10.45 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 10.01/10.45 multiplication( codomain( X ), Y ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61473, [ =( coantidomain( multiplication( codomain( antidomain( X )
% 10.01/10.45 ), X ) ), addition( coantidomain( zero ), coantidomain( multiplication(
% 10.01/10.45 codomain( antidomain( X ) ), X ) ) ) ) ] )
% 10.01/10.45 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 10.01/10.45 , 0, clause( 61470, [ =( coantidomain( multiplication( codomain( X ), Y ) )
% 10.01/10.45 , addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 10.01/10.45 multiplication( codomain( X ), Y ) ) ) ) ] )
% 10.01/10.45 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 antidomain( X ) ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61474, [ =( coantidomain( multiplication( codomain( antidomain( X )
% 10.01/10.45 ), X ) ), addition( one, coantidomain( multiplication( codomain(
% 10.01/10.45 antidomain( X ) ), X ) ) ) ) ] )
% 10.01/10.45 , clause( 71, [ =( coantidomain( zero ), one ) ] )
% 10.01/10.45 , 0, clause( 61473, [ =( coantidomain( multiplication( codomain( antidomain(
% 10.01/10.45 X ) ), X ) ), addition( coantidomain( zero ), coantidomain(
% 10.01/10.45 multiplication( codomain( antidomain( X ) ), X ) ) ) ) ] )
% 10.01/10.45 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61475, [ =( coantidomain( multiplication( codomain( antidomain( X )
% 10.01/10.45 ), X ) ), one ) ] )
% 10.01/10.45 , clause( 148, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61474, [ =( coantidomain( multiplication( codomain( antidomain(
% 10.01/10.45 X ) ), X ) ), addition( one, coantidomain( multiplication( codomain(
% 10.01/10.45 antidomain( X ) ), X ) ) ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, multiplication( codomain( antidomain( X )
% 10.01/10.45 ), X ) )] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 2072, [ =( coantidomain( multiplication( codomain( antidomain( X )
% 10.01/10.45 ), X ) ), one ) ] )
% 10.01/10.45 , clause( 61475, [ =( coantidomain( multiplication( codomain( antidomain( X
% 10.01/10.45 ) ), X ) ), one ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61478, [ =( zero, multiplication( X, domain( coantidomain( X ) ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 1869, [ =( multiplication( X, domain( coantidomain( X ) ) ), zero
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61481, [ =( zero, multiplication( multiplication( codomain(
% 10.01/10.45 antidomain( X ) ), X ), domain( one ) ) ) ] )
% 10.01/10.45 , clause( 2072, [ =( coantidomain( multiplication( codomain( antidomain( X
% 10.01/10.45 ) ), X ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61478, [ =( zero, multiplication( X, domain( coantidomain( X )
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 multiplication( codomain( antidomain( X ) ), X ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61482, [ =( zero, multiplication( multiplication( codomain(
% 10.01/10.45 antidomain( X ) ), X ), one ) ) ] )
% 10.01/10.45 , clause( 1004, [ =( domain( one ), one ) ] )
% 10.01/10.45 , 0, clause( 61481, [ =( zero, multiplication( multiplication( codomain(
% 10.01/10.45 antidomain( X ) ), X ), domain( one ) ) ) ] )
% 10.01/10.45 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61483, [ =( zero, multiplication( codomain( antidomain( X ) ), X )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61482, [ =( zero, multiplication( multiplication( codomain(
% 10.01/10.45 antidomain( X ) ), X ), one ) ) ] )
% 10.01/10.45 , 0, 2, substitution( 0, [ :=( X, multiplication( codomain( antidomain( X )
% 10.01/10.45 ), X ) )] ), substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61484, [ =( multiplication( codomain( antidomain( X ) ), X ), zero
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 61483, [ =( zero, multiplication( codomain( antidomain( X ) ), X
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 2088, [ =( multiplication( codomain( antidomain( X ) ), X ), zero )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 61484, [ =( multiplication( codomain( antidomain( X ) ), X ),
% 10.01/10.45 zero ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61486, [ =( multiplication( Z, Y ), ifeq( leq( multiplication( X, Y
% 10.01/10.45 ), multiplication( Z, Y ) ), true, multiplication( addition( X, Z ), Y )
% 10.01/10.45 , multiplication( Z, Y ) ) ) ] )
% 10.01/10.45 , clause( 95, [ =( ifeq( leq( multiplication( X, Y ), multiplication( Z, Y
% 10.01/10.45 ) ), true, multiplication( addition( X, Z ), Y ), multiplication( Z, Y )
% 10.01/10.45 ), multiplication( Z, Y ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61492, [ =( multiplication( X, Y ), ifeq( leq( zero, multiplication(
% 10.01/10.45 X, Y ) ), true, multiplication( addition( codomain( antidomain( Y ) ), X
% 10.01/10.45 ), Y ), multiplication( X, Y ) ) ) ] )
% 10.01/10.45 , clause( 2088, [ =( multiplication( codomain( antidomain( X ) ), X ), zero
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, clause( 61486, [ =( multiplication( Z, Y ), ifeq( leq( multiplication(
% 10.01/10.45 X, Y ), multiplication( Z, Y ) ), true, multiplication( addition( X, Z )
% 10.01/10.45 , Y ), multiplication( Z, Y ) ) ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 10.01/10.45 codomain( antidomain( Y ) ) ), :=( Y, Y ), :=( Z, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61497, [ =( multiplication( X, Y ), ifeq( true, true,
% 10.01/10.45 multiplication( addition( codomain( antidomain( Y ) ), X ), Y ),
% 10.01/10.45 multiplication( X, Y ) ) ) ] )
% 10.01/10.45 , clause( 125, [ =( leq( zero, X ), true ) ] )
% 10.01/10.45 , 0, clause( 61492, [ =( multiplication( X, Y ), ifeq( leq( zero,
% 10.01/10.45 multiplication( X, Y ) ), true, multiplication( addition( codomain(
% 10.01/10.45 antidomain( Y ) ), X ), Y ), multiplication( X, Y ) ) ) ] )
% 10.01/10.45 , 0, 5, substitution( 0, [ :=( X, multiplication( X, Y ) )] ),
% 10.01/10.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61498, [ =( multiplication( X, Y ), multiplication( addition(
% 10.01/10.45 codomain( antidomain( Y ) ), X ), Y ) ) ] )
% 10.01/10.45 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 10.01/10.45 , 0, clause( 61497, [ =( multiplication( X, Y ), ifeq( true, true,
% 10.01/10.45 multiplication( addition( codomain( antidomain( Y ) ), X ), Y ),
% 10.01/10.45 multiplication( X, Y ) ) ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, true ), :=( Y, multiplication( addition(
% 10.01/10.45 codomain( antidomain( Y ) ), X ), Y ) ), :=( Z, multiplication( X, Y ) )] )
% 10.01/10.45 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61499, [ =( multiplication( addition( codomain( antidomain( Y ) ),
% 10.01/10.45 X ), Y ), multiplication( X, Y ) ) ] )
% 10.01/10.45 , clause( 61498, [ =( multiplication( X, Y ), multiplication( addition(
% 10.01/10.45 codomain( antidomain( Y ) ), X ), Y ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 2098, [ =( multiplication( addition( codomain( antidomain( X ) ), Y
% 10.01/10.45 ), X ), multiplication( Y, X ) ) ] )
% 10.01/10.45 , clause( 61499, [ =( multiplication( addition( codomain( antidomain( Y ) )
% 10.01/10.45 , X ), Y ), multiplication( X, Y ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61501, [ =( addition( X, one ), addition( addition( X, antidomain(
% 10.01/10.45 Y ) ), domain( Y ) ) ) ] )
% 10.01/10.45 , clause( 134, [ =( addition( addition( Y, antidomain( X ) ), domain( X ) )
% 10.01/10.45 , addition( Y, one ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61503, [ =( addition( codomain( antidomain( X ) ), one ), addition(
% 10.01/10.45 codomain( antidomain( X ) ), domain( X ) ) ) ] )
% 10.01/10.45 , clause( 1320, [ =( addition( codomain( antidomain( X ) ), antidomain( X )
% 10.01/10.45 ), codomain( antidomain( X ) ) ) ] )
% 10.01/10.45 , 0, clause( 61501, [ =( addition( X, one ), addition( addition( X,
% 10.01/10.45 antidomain( Y ) ), domain( Y ) ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 codomain( antidomain( X ) ) ), :=( Y, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61504, [ =( one, addition( codomain( antidomain( X ) ), domain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , clause( 201, [ =( addition( codomain( X ), one ), one ) ] )
% 10.01/10.45 , 0, clause( 61503, [ =( addition( codomain( antidomain( X ) ), one ),
% 10.01/10.45 addition( codomain( antidomain( X ) ), domain( X ) ) ) ] )
% 10.01/10.45 , 0, 1, substitution( 0, [ :=( X, antidomain( X ) )] ), substitution( 1, [
% 10.01/10.45 :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61505, [ =( addition( codomain( antidomain( X ) ), domain( X ) ),
% 10.01/10.45 one ) ] )
% 10.01/10.45 , clause( 61504, [ =( one, addition( codomain( antidomain( X ) ), domain( X
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 3900, [ =( addition( codomain( antidomain( X ) ), domain( X ) ),
% 10.01/10.45 one ) ] )
% 10.01/10.45 , clause( 61505, [ =( addition( codomain( antidomain( X ) ), domain( X ) )
% 10.01/10.45 , one ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61507, [ =( one, addition( codomain( antidomain( X ) ), domain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , clause( 3900, [ =( addition( codomain( antidomain( X ) ), domain( X ) ),
% 10.01/10.45 one ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61509, [ =( one, addition( codomain( antidomain( antidomain( X ) )
% 10.01/10.45 ), antidomain( X ) ) ) ] )
% 10.01/10.45 , clause( 1003, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61507, [ =( one, addition( codomain( antidomain( X ) ), domain(
% 10.01/10.45 X ) ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 antidomain( X ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61510, [ =( one, addition( codomain( domain( X ) ), antidomain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61509, [ =( one, addition( codomain( antidomain( antidomain( X
% 10.01/10.45 ) ) ), antidomain( X ) ) ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61511, [ =( addition( codomain( domain( X ) ), antidomain( X ) ),
% 10.01/10.45 one ) ] )
% 10.01/10.45 , clause( 61510, [ =( one, addition( codomain( domain( X ) ), antidomain( X
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 3908, [ =( addition( codomain( domain( X ) ), antidomain( X ) ),
% 10.01/10.45 one ) ] )
% 10.01/10.45 , clause( 61511, [ =( addition( codomain( domain( X ) ), antidomain( X ) )
% 10.01/10.45 , one ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61513, [ =( multiplication( coantidomain( X ), Y ), multiplication(
% 10.01/10.45 coantidomain( X ), addition( codomain( X ), Y ) ) ) ] )
% 10.01/10.45 , clause( 55, [ =( multiplication( coantidomain( X ), addition( codomain( X
% 10.01/10.45 ), Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61515, [ =( multiplication( coantidomain( domain( X ) ), antidomain(
% 10.01/10.45 X ) ), multiplication( coantidomain( domain( X ) ), one ) ) ] )
% 10.01/10.45 , clause( 3908, [ =( addition( codomain( domain( X ) ), antidomain( X ) ),
% 10.01/10.45 one ) ] )
% 10.01/10.45 , 0, clause( 61513, [ =( multiplication( coantidomain( X ), Y ),
% 10.01/10.45 multiplication( coantidomain( X ), addition( codomain( X ), Y ) ) ) ] )
% 10.01/10.45 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 10.01/10.45 X ) ), :=( Y, antidomain( X ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61516, [ =( multiplication( coantidomain( domain( X ) ), antidomain(
% 10.01/10.45 X ) ), coantidomain( domain( X ) ) ) ] )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61515, [ =( multiplication( coantidomain( domain( X ) ),
% 10.01/10.45 antidomain( X ) ), multiplication( coantidomain( domain( X ) ), one ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, coantidomain( domain( X ) ) )] ),
% 10.01/10.45 substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 3929, [ =( multiplication( coantidomain( domain( X ) ), antidomain(
% 10.01/10.45 X ) ), coantidomain( domain( X ) ) ) ] )
% 10.01/10.45 , clause( 61516, [ =( multiplication( coantidomain( domain( X ) ),
% 10.01/10.45 antidomain( X ) ), coantidomain( domain( X ) ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61519, [ =( true, leq( multiplication( coantidomain( X ), Y ), Y )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 1261, [ =( leq( multiplication( coantidomain( X ), Y ), Y ), true
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61520, [ =( true, leq( coantidomain( domain( X ) ), antidomain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , clause( 3929, [ =( multiplication( coantidomain( domain( X ) ),
% 10.01/10.45 antidomain( X ) ), coantidomain( domain( X ) ) ) ] )
% 10.01/10.45 , 0, clause( 61519, [ =( true, leq( multiplication( coantidomain( X ), Y )
% 10.01/10.45 , Y ) ) ] )
% 10.01/10.45 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 10.01/10.45 X ) ), :=( Y, antidomain( X ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61521, [ =( leq( coantidomain( domain( X ) ), antidomain( X ) ),
% 10.01/10.45 true ) ] )
% 10.01/10.45 , clause( 61520, [ =( true, leq( coantidomain( domain( X ) ), antidomain( X
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 3985, [ =( leq( coantidomain( domain( X ) ), antidomain( X ) ),
% 10.01/10.45 true ) ] )
% 10.01/10.45 , clause( 61521, [ =( leq( coantidomain( domain( X ) ), antidomain( X ) ),
% 10.01/10.45 true ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61523, [ =( true, leq( coantidomain( domain( X ) ), antidomain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , clause( 3985, [ =( leq( coantidomain( domain( X ) ), antidomain( X ) ),
% 10.01/10.45 true ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61525, [ =( true, leq( coantidomain( antidomain( X ) ), antidomain(
% 10.01/10.45 antidomain( X ) ) ) ) ] )
% 10.01/10.45 , clause( 1003, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61523, [ =( true, leq( coantidomain( domain( X ) ), antidomain(
% 10.01/10.45 X ) ) ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 antidomain( X ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61526, [ =( true, leq( coantidomain( antidomain( X ) ), domain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61525, [ =( true, leq( coantidomain( antidomain( X ) ),
% 10.01/10.45 antidomain( antidomain( X ) ) ) ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61527, [ =( leq( coantidomain( antidomain( X ) ), domain( X ) ),
% 10.01/10.45 true ) ] )
% 10.01/10.45 , clause( 61526, [ =( true, leq( coantidomain( antidomain( X ) ), domain( X
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 3994, [ =( leq( coantidomain( antidomain( X ) ), domain( X ) ),
% 10.01/10.45 true ) ] )
% 10.01/10.45 , clause( 61527, [ =( leq( coantidomain( antidomain( X ) ), domain( X ) ),
% 10.01/10.45 true ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61529, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 101, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61531, [ =( domain( X ), ifeq( true, true, addition( domain( X ),
% 10.01/10.45 coantidomain( antidomain( X ) ) ), domain( X ) ) ) ] )
% 10.01/10.45 , clause( 3994, [ =( leq( coantidomain( antidomain( X ) ), domain( X ) ),
% 10.01/10.45 true ) ] )
% 10.01/10.45 , 0, clause( 61529, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y )
% 10.01/10.45 ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 coantidomain( antidomain( X ) ) ), :=( Y, domain( X ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61532, [ =( domain( X ), addition( domain( X ), coantidomain(
% 10.01/10.45 antidomain( X ) ) ) ) ] )
% 10.01/10.45 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 10.01/10.45 , 0, clause( 61531, [ =( domain( X ), ifeq( true, true, addition( domain( X
% 10.01/10.45 ), coantidomain( antidomain( X ) ) ), domain( X ) ) ) ] )
% 10.01/10.45 , 0, 3, substitution( 0, [ :=( X, true ), :=( Y, addition( domain( X ),
% 10.01/10.45 coantidomain( antidomain( X ) ) ) ), :=( Z, domain( X ) )] ),
% 10.01/10.45 substitution( 1, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61533, [ =( addition( domain( X ), coantidomain( antidomain( X ) )
% 10.01/10.45 ), domain( X ) ) ] )
% 10.01/10.45 , clause( 61532, [ =( domain( X ), addition( domain( X ), coantidomain(
% 10.01/10.45 antidomain( X ) ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 3996, [ =( addition( domain( X ), coantidomain( antidomain( X ) ) )
% 10.01/10.45 , domain( X ) ) ] )
% 10.01/10.45 , clause( 61533, [ =( addition( domain( X ), coantidomain( antidomain( X )
% 10.01/10.45 ) ), domain( X ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61536, [ =( addition( addition( X, coantidomain( antidomain( Y ) )
% 10.01/10.45 ), domain( Y ) ), addition( domain( Y ), X ) ) ] )
% 10.01/10.45 , clause( 3996, [ =( addition( domain( X ), coantidomain( antidomain( X ) )
% 10.01/10.45 ), domain( X ) ) ] )
% 10.01/10.45 , 0, clause( 196, [ =( addition( addition( Z, X ), Y ), addition( addition(
% 10.01/10.45 Y, X ), Z ) ) ] )
% 10.01/10.45 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 10.01/10.45 coantidomain( antidomain( Y ) ) ), :=( Y, domain( Y ) ), :=( Z, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 4009, [ =( addition( addition( Y, coantidomain( antidomain( X ) ) )
% 10.01/10.45 , domain( X ) ), addition( domain( X ), Y ) ) ] )
% 10.01/10.45 , clause( 61536, [ =( addition( addition( X, coantidomain( antidomain( Y )
% 10.01/10.45 ) ), domain( Y ) ), addition( domain( Y ), X ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61538, [ =( multiplication( Y, X ), multiplication( addition(
% 10.01/10.45 codomain( antidomain( X ) ), Y ), X ) ) ] )
% 10.01/10.45 , clause( 2098, [ =( multiplication( addition( codomain( antidomain( X ) )
% 10.01/10.45 , Y ), X ), multiplication( Y, X ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61540, [ =( multiplication( coantidomain( antidomain( X ) ), X ),
% 10.01/10.45 multiplication( one, X ) ) ] )
% 10.01/10.45 , clause( 67, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61538, [ =( multiplication( Y, X ), multiplication( addition(
% 10.01/10.45 codomain( antidomain( X ) ), Y ), X ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, antidomain( X ) )] ), substitution( 1, [
% 10.01/10.45 :=( X, X ), :=( Y, coantidomain( antidomain( X ) ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61541, [ =( multiplication( coantidomain( antidomain( X ) ), X ), X
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.45 , 0, clause( 61540, [ =( multiplication( coantidomain( antidomain( X ) ), X
% 10.01/10.45 ), multiplication( one, X ) ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 27776, [ =( multiplication( coantidomain( antidomain( X ) ), X ), X
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 61541, [ =( multiplication( coantidomain( antidomain( X ) ), X )
% 10.01/10.45 , X ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61544, [ =( addition( Y, X ), addition( addition( X, Y ),
% 10.01/10.45 multiplication( Y, domain( Z ) ) ) ) ] )
% 10.01/10.45 , clause( 794, [ =( addition( addition( Z, X ), multiplication( X, domain(
% 10.01/10.45 Y ) ) ), addition( X, Z ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61547, [ =( addition( coantidomain( antidomain( domain( X ) ) ), Y
% 10.01/10.45 ), addition( addition( Y, coantidomain( antidomain( domain( X ) ) ) ),
% 10.01/10.45 domain( X ) ) ) ] )
% 10.01/10.45 , clause( 27776, [ =( multiplication( coantidomain( antidomain( X ) ), X )
% 10.01/10.45 , X ) ] )
% 10.01/10.45 , 0, clause( 61544, [ =( addition( Y, X ), addition( addition( X, Y ),
% 10.01/10.45 multiplication( Y, domain( Z ) ) ) ) ] )
% 10.01/10.45 , 0, 14, substitution( 0, [ :=( X, domain( X ) )] ), substitution( 1, [
% 10.01/10.45 :=( X, Y ), :=( Y, coantidomain( antidomain( domain( X ) ) ) ), :=( Z, X
% 10.01/10.45 )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61549, [ =( addition( coantidomain( antidomain( domain( X ) ) ), Y
% 10.01/10.45 ), addition( addition( Y, coantidomain( antidomain( X ) ) ), domain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , clause( 473, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61547, [ =( addition( coantidomain( antidomain( domain( X ) )
% 10.01/10.45 ), Y ), addition( addition( Y, coantidomain( antidomain( domain( X ) ) )
% 10.01/10.45 ), domain( X ) ) ) ] )
% 10.01/10.45 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61550, [ =( addition( coantidomain( antidomain( X ) ), Y ),
% 10.01/10.45 addition( addition( Y, coantidomain( antidomain( X ) ) ), domain( X ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , clause( 473, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61549, [ =( addition( coantidomain( antidomain( domain( X ) )
% 10.01/10.45 ), Y ), addition( addition( Y, coantidomain( antidomain( X ) ) ), domain(
% 10.01/10.45 X ) ) ) ] )
% 10.01/10.45 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61553, [ =( addition( coantidomain( antidomain( X ) ), Y ),
% 10.01/10.45 addition( domain( X ), Y ) ) ] )
% 10.01/10.45 , clause( 4009, [ =( addition( addition( Y, coantidomain( antidomain( X ) )
% 10.01/10.45 ), domain( X ) ), addition( domain( X ), Y ) ) ] )
% 10.01/10.45 , 0, clause( 61550, [ =( addition( coantidomain( antidomain( X ) ), Y ),
% 10.01/10.45 addition( addition( Y, coantidomain( antidomain( X ) ) ), domain( X ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 10.01/10.45 :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 27779, [ =( addition( coantidomain( antidomain( X ) ), Y ),
% 10.01/10.45 addition( domain( X ), Y ) ) ] )
% 10.01/10.45 , clause( 61553, [ =( addition( coantidomain( antidomain( X ) ), Y ),
% 10.01/10.45 addition( domain( X ), Y ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.01/10.45 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61556, [ =( X, addition( X, multiplication( multiplication( X,
% 10.01/10.45 domain( Y ) ), domain( Z ) ) ) ) ] )
% 10.01/10.45 , clause( 886, [ =( addition( Z, multiplication( multiplication( Z, domain(
% 10.01/10.45 X ) ), domain( Y ) ) ), Z ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61561, [ =( coantidomain( antidomain( domain( X ) ) ), addition(
% 10.01/10.45 coantidomain( antidomain( domain( X ) ) ), multiplication( domain( X ),
% 10.01/10.45 domain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 27776, [ =( multiplication( coantidomain( antidomain( X ) ), X )
% 10.01/10.45 , X ) ] )
% 10.01/10.45 , 0, clause( 61556, [ =( X, addition( X, multiplication( multiplication( X
% 10.01/10.45 , domain( Y ) ), domain( Z ) ) ) ) ] )
% 10.01/10.45 , 0, 11, substitution( 0, [ :=( X, domain( X ) )] ), substitution( 1, [
% 10.01/10.45 :=( X, coantidomain( antidomain( domain( X ) ) ) ), :=( Y, X ), :=( Z, Y
% 10.01/10.45 )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61562, [ =( coantidomain( antidomain( domain( X ) ) ), addition(
% 10.01/10.45 domain( domain( X ) ), multiplication( domain( X ), domain( Y ) ) ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , clause( 27779, [ =( addition( coantidomain( antidomain( X ) ), Y ),
% 10.01/10.45 addition( domain( X ), Y ) ) ] )
% 10.01/10.45 , 0, clause( 61561, [ =( coantidomain( antidomain( domain( X ) ) ),
% 10.01/10.45 addition( coantidomain( antidomain( domain( X ) ) ), multiplication(
% 10.01/10.45 domain( X ), domain( Y ) ) ) ) ] )
% 10.01/10.45 , 0, 5, substitution( 0, [ :=( X, domain( X ) ), :=( Y, multiplication(
% 10.01/10.45 domain( X ), domain( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 10.01/10.45 )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61563, [ =( coantidomain( antidomain( domain( X ) ) ), addition(
% 10.01/10.45 domain( X ), multiplication( domain( X ), domain( Y ) ) ) ) ] )
% 10.01/10.45 , clause( 478, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61562, [ =( coantidomain( antidomain( domain( X ) ) ),
% 10.01/10.45 addition( domain( domain( X ) ), multiplication( domain( X ), domain( Y )
% 10.01/10.45 ) ) ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 10.01/10.45 :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61564, [ =( coantidomain( antidomain( domain( X ) ) ), domain( X )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 644, [ =( addition( Y, multiplication( Y, domain( X ) ) ), Y ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, clause( 61563, [ =( coantidomain( antidomain( domain( X ) ) ),
% 10.01/10.45 addition( domain( X ), multiplication( domain( X ), domain( Y ) ) ) ) ]
% 10.01/10.45 )
% 10.01/10.45 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, domain( X ) )] ),
% 10.01/10.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61565, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , clause( 473, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61564, [ =( coantidomain( antidomain( domain( X ) ) ), domain(
% 10.01/10.45 X ) ) ] )
% 10.01/10.45 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 27811, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , clause( 61565, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61568, [ =( X, multiplication( coantidomain( antidomain( X ) ), X )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 27776, [ =( multiplication( coantidomain( antidomain( X ) ), X )
% 10.01/10.45 , X ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61570, [ =( antidomain( X ), multiplication( coantidomain( domain(
% 10.01/10.45 X ) ), antidomain( X ) ) ) ] )
% 10.01/10.45 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61568, [ =( X, multiplication( coantidomain( antidomain( X ) )
% 10.01/10.45 , X ) ) ] )
% 10.01/10.45 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 antidomain( X ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61571, [ =( antidomain( X ), coantidomain( domain( X ) ) ) ] )
% 10.01/10.45 , clause( 3929, [ =( multiplication( coantidomain( domain( X ) ),
% 10.01/10.45 antidomain( X ) ), coantidomain( domain( X ) ) ) ] )
% 10.01/10.45 , 0, clause( 61570, [ =( antidomain( X ), multiplication( coantidomain(
% 10.01/10.45 domain( X ) ), antidomain( X ) ) ) ] )
% 10.01/10.45 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61572, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , clause( 61571, [ =( antidomain( X ), coantidomain( domain( X ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 27818, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , clause( 61572, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61574, [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ] )
% 10.01/10.45 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61576, [ =( codomain( antidomain( X ) ), coantidomain( domain( X )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , clause( 27811, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61574, [ =( codomain( X ), coantidomain( coantidomain( X ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 10.01/10.45 antidomain( X ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61577, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , clause( 27818, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61576, [ =( codomain( antidomain( X ) ), coantidomain( domain(
% 10.01/10.45 X ) ) ) ] )
% 10.01/10.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 27871, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , clause( 61577, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61580, [ =( multiplication( antidomain( 'sK1_goals_X1' ), X ),
% 10.01/10.45 multiplication( antidomain( 'sK1_goals_X1' ), addition( domain(
% 10.01/10.45 'sK2_goals_X0' ), X ) ) ) ] )
% 10.01/10.45 , clause( 1849, [ =( multiplication( antidomain( 'sK1_goals_X1' ), addition(
% 10.01/10.45 domain( 'sK2_goals_X0' ), X ) ), multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), X ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61582, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 antidomain( 'sK2_goals_X0' ) ), multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), one ) ) ] )
% 10.01/10.45 , clause( 107, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61580, [ =( multiplication( antidomain( 'sK1_goals_X1' ), X )
% 10.01/10.45 , multiplication( antidomain( 'sK1_goals_X1' ), addition( domain(
% 10.01/10.45 'sK2_goals_X0' ), X ) ) ) ] )
% 10.01/10.45 , 0, 9, substitution( 0, [ :=( X, 'sK2_goals_X0' )] ), substitution( 1, [
% 10.01/10.45 :=( X, antidomain( 'sK2_goals_X0' ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61583, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 antidomain( 'sK2_goals_X0' ) ), antidomain( 'sK1_goals_X1' ) ) ] )
% 10.01/10.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 10.01/10.45 , 0, clause( 61582, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 antidomain( 'sK2_goals_X0' ) ), multiplication( antidomain(
% 10.01/10.45 'sK1_goals_X1' ), one ) ) ] )
% 10.01/10.45 , 0, 6, substitution( 0, [ :=( X, antidomain( 'sK1_goals_X1' ) )] ),
% 10.01/10.45 substitution( 1, [] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 60471, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 antidomain( 'sK2_goals_X0' ) ), antidomain( 'sK1_goals_X1' ) ) ] )
% 10.01/10.45 , clause( 61583, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 antidomain( 'sK2_goals_X0' ) ), antidomain( 'sK1_goals_X1' ) ) ] )
% 10.01/10.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqswap(
% 10.01/10.45 clause( 61586, [ =( addition( codomain( Y ), multiplication( X, Y ) ),
% 10.01/10.45 multiplication( addition( one, multiplication( X, Y ) ), codomain( Y ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 1134, [ =( multiplication( addition( one, multiplication( X, Y )
% 10.01/10.45 ), codomain( Y ) ), addition( codomain( Y ), multiplication( X, Y ) ) )
% 10.01/10.45 ] )
% 10.01/10.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61591, [ =( addition( codomain( antidomain( 'sK2_goals_X0' ) ),
% 10.01/10.45 multiplication( antidomain( 'sK1_goals_X1' ), antidomain( 'sK2_goals_X0'
% 10.01/10.45 ) ) ), multiplication( addition( one, antidomain( 'sK1_goals_X1' ) ),
% 10.01/10.45 codomain( antidomain( 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.45 , clause( 60471, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 antidomain( 'sK2_goals_X0' ) ), antidomain( 'sK1_goals_X1' ) ) ] )
% 10.01/10.45 , 0, clause( 61586, [ =( addition( codomain( Y ), multiplication( X, Y ) )
% 10.01/10.45 , multiplication( addition( one, multiplication( X, Y ) ), codomain( Y )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), :=( Y, antidomain( 'sK2_goals_X0' ) )] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61592, [ =( addition( codomain( antidomain( 'sK2_goals_X0' ) ),
% 10.01/10.45 antidomain( 'sK1_goals_X1' ) ), multiplication( addition( one, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), codomain( antidomain( 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.45 , clause( 60471, [ =( multiplication( antidomain( 'sK1_goals_X1' ),
% 10.01/10.45 antidomain( 'sK2_goals_X0' ) ), antidomain( 'sK1_goals_X1' ) ) ] )
% 10.01/10.45 , 0, clause( 61591, [ =( addition( codomain( antidomain( 'sK2_goals_X0' ) )
% 10.01/10.45 , multiplication( antidomain( 'sK1_goals_X1' ), antidomain(
% 10.01/10.45 'sK2_goals_X0' ) ) ), multiplication( addition( one, antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), codomain( antidomain( 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.45 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61601, [ =( addition( codomain( antidomain( 'sK2_goals_X0' ) ),
% 10.01/10.45 antidomain( 'sK1_goals_X1' ) ), multiplication( one, codomain( antidomain(
% 10.01/10.45 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.45 , clause( 144, [ =( addition( one, antidomain( X ) ), one ) ] )
% 10.01/10.45 , 0, clause( 61592, [ =( addition( codomain( antidomain( 'sK2_goals_X0' ) )
% 10.01/10.45 , antidomain( 'sK1_goals_X1' ) ), multiplication( addition( one,
% 10.01/10.45 antidomain( 'sK1_goals_X1' ) ), codomain( antidomain( 'sK2_goals_X0' ) )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , 0, 8, substitution( 0, [ :=( X, 'sK1_goals_X1' )] ), substitution( 1, [] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61602, [ =( addition( codomain( antidomain( 'sK2_goals_X0' ) ),
% 10.01/10.45 antidomain( 'sK1_goals_X1' ) ), codomain( antidomain( 'sK2_goals_X0' ) )
% 10.01/10.45 ) ] )
% 10.01/10.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 10.01/10.45 , 0, clause( 61601, [ =( addition( codomain( antidomain( 'sK2_goals_X0' ) )
% 10.01/10.45 , antidomain( 'sK1_goals_X1' ) ), multiplication( one, codomain(
% 10.01/10.45 antidomain( 'sK2_goals_X0' ) ) ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, codomain( antidomain( 'sK2_goals_X0' ) )
% 10.01/10.45 )] ), substitution( 1, [] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61604, [ =( addition( codomain( antidomain( 'sK2_goals_X0' ) ),
% 10.01/10.45 antidomain( 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ] )
% 10.01/10.45 , clause( 27871, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61602, [ =( addition( codomain( antidomain( 'sK2_goals_X0' ) )
% 10.01/10.45 , antidomain( 'sK1_goals_X1' ) ), codomain( antidomain( 'sK2_goals_X0' )
% 10.01/10.45 ) ) ] )
% 10.01/10.45 , 0, 7, substitution( 0, [ :=( X, 'sK2_goals_X0' )] ), substitution( 1, [] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61605, [ =( addition( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ] )
% 10.01/10.45 , clause( 27871, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 10.01/10.45 , 0, clause( 61604, [ =( addition( codomain( antidomain( 'sK2_goals_X0' ) )
% 10.01/10.45 , antidomain( 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ] )
% 10.01/10.45 , 0, 2, substitution( 0, [ :=( X, 'sK2_goals_X0' )] ), substitution( 1, [] )
% 10.01/10.45 ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 60529, [ =( addition( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ] )
% 10.01/10.45 , clause( 61605, [ =( addition( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ] )
% 10.01/10.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 paramod(
% 10.01/10.45 clause( 61611, [ ~( =( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.45 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.45 , clause( 60529, [ =( addition( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ] )
% 10.01/10.45 , 0, clause( 47, [ ~( =( addition( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.45 'sK1_goals_X1' ) ), antidomain( 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.45 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 eqrefl(
% 10.01/10.45 clause( 61612, [] )
% 10.01/10.45 , clause( 61611, [ ~( =( antidomain( 'sK2_goals_X0' ), antidomain(
% 10.01/10.45 'sK2_goals_X0' ) ) ) ] )
% 10.01/10.45 , 0, substitution( 0, [] )).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 subsumption(
% 10.01/10.45 clause( 60557, [] )
% 10.01/10.45 , clause( 61612, [] )
% 10.01/10.45 , substitution( 0, [] ), permutation( 0, [] ) ).
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 end.
% 10.01/10.45
% 10.01/10.45 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 10.01/10.45
% 10.01/10.45 Memory use:
% 10.01/10.45
% 10.01/10.45 space for terms: 838916
% 10.01/10.45 space for clauses: 6266797
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 clauses generated: 2311870
% 10.01/10.45 clauses kept: 60558
% 10.01/10.45 clauses selected: 3971
% 10.01/10.45 clauses deleted: 18752
% 10.01/10.45 clauses inuse deleted: 771
% 10.01/10.45
% 10.01/10.45 subsentry: 91032
% 10.01/10.45 literals s-matched: 88105
% 10.01/10.45 literals matched: 87891
% 10.01/10.45 full subsumption: 0
% 10.01/10.45
% 10.01/10.45 checksum: 2013022051
% 10.01/10.45
% 10.01/10.45
% 10.01/10.45 Bliksem ended
%------------------------------------------------------------------------------