TSTP Solution File: KLE084-10 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KLE084-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 01:37:05 EDT 2022
% Result : Unsatisfiable 70.05s 70.43s
% Output : Refutation 70.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE084-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 16 10:10:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.74/10.10 *** allocated 10000 integers for termspace/termends
% 9.74/10.10 *** allocated 10000 integers for clauses
% 9.74/10.10 *** allocated 10000 integers for justifications
% 9.74/10.10 Bliksem 1.12
% 9.74/10.10
% 9.74/10.10
% 9.74/10.10 Automatic Strategy Selection
% 9.74/10.10
% 9.74/10.10 Clauses:
% 9.74/10.10 [
% 9.74/10.10 [ =( ifeq2( X, X, Y, Z ), Y ) ],
% 9.74/10.10 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 9.74/10.10 [ =( addition( X, Y ), addition( Y, X ) ) ],
% 9.74/10.10 [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y ), Z ) )
% 9.74/10.10 ],
% 9.74/10.10 [ =( addition( X, zero ), X ) ],
% 9.74/10.10 [ =( addition( X, X ), X ) ],
% 9.74/10.10 [ =( multiplication( X, multiplication( Y, Z ) ), multiplication(
% 9.74/10.10 multiplication( X, Y ), Z ) ) ],
% 9.74/10.10 [ =( multiplication( X, one ), X ) ],
% 9.74/10.10 [ =( multiplication( one, X ), X ) ],
% 9.74/10.10 [ =( multiplication( X, addition( Y, Z ) ), addition( multiplication( X
% 9.74/10.10 , Y ), multiplication( X, Z ) ) ) ],
% 9.74/10.10 [ =( multiplication( addition( X, Y ), Z ), addition( multiplication( X
% 9.74/10.10 , Z ), multiplication( Y, Z ) ) ) ],
% 9.74/10.10 [ =( multiplication( X, zero ), zero ) ],
% 9.74/10.10 [ =( multiplication( zero, X ), zero ) ],
% 9.74/10.10 [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ],
% 9.74/10.10 [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true ) ],
% 9.74/10.10 [ =( multiplication( antidomain( X ), X ), zero ) ],
% 9.74/10.10 [ =( addition( antidomain( multiplication( X, Y ) ), antidomain(
% 9.74/10.10 multiplication( X, antidomain( antidomain( Y ) ) ) ) ), antidomain(
% 9.74/10.10 multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ],
% 9.74/10.10 [ =( addition( antidomain( antidomain( X ) ), antidomain( X ) ), one ) ]
% 9.74/10.10 ,
% 9.74/10.10 [ =( domain( X ), antidomain( antidomain( X ) ) ) ],
% 9.74/10.10 [ =( multiplication( X, coantidomain( X ) ), zero ) ],
% 9.74/10.10 [ =( addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 9.74/10.10 multiplication( coantidomain( coantidomain( X ) ), Y ) ) ), coantidomain(
% 9.74/10.10 multiplication( coantidomain( coantidomain( X ) ), Y ) ) ) ],
% 9.74/10.10 [ =( addition( coantidomain( coantidomain( X ) ), coantidomain( X ) ),
% 9.74/10.10 one ) ],
% 9.74/10.10 [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ],
% 9.74/10.10 [ ~( =( domain( multiplication( 'sK2_goals_X0', 'sK1_goals_X1' ) ),
% 9.74/10.10 domain( multiplication( 'sK2_goals_X0', domain( 'sK1_goals_X1' ) ) ) ) )
% 9.74/10.10 ]
% 9.74/10.10 ] .
% 9.74/10.10
% 9.74/10.10
% 9.74/10.10 percentage equality = 1.000000, percentage horn = 1.000000
% 9.74/10.10 This is a pure equality problem
% 9.74/10.10
% 9.74/10.10
% 9.74/10.10
% 9.74/10.10 Options Used:
% 9.74/10.10
% 9.74/10.10 useres = 1
% 9.74/10.10 useparamod = 1
% 9.74/10.10 useeqrefl = 1
% 9.74/10.10 useeqfact = 1
% 9.74/10.10 usefactor = 1
% 9.74/10.10 usesimpsplitting = 0
% 9.74/10.10 usesimpdemod = 5
% 9.74/10.10 usesimpres = 3
% 9.74/10.10
% 9.74/10.10 resimpinuse = 1000
% 9.74/10.10 resimpclauses = 20000
% 9.74/10.10 substype = eqrewr
% 9.74/10.10 backwardsubs = 1
% 9.74/10.10 selectoldest = 5
% 9.74/10.10
% 9.74/10.10 litorderings [0] = split
% 9.74/10.10 litorderings [1] = extend the termordering, first sorting on arguments
% 9.74/10.10
% 9.74/10.10 termordering = kbo
% 9.74/10.10
% 9.74/10.10 litapriori = 0
% 9.74/10.10 termapriori = 1
% 9.74/10.10 litaposteriori = 0
% 9.74/10.10 termaposteriori = 0
% 9.74/10.10 demodaposteriori = 0
% 9.74/10.10 ordereqreflfact = 0
% 9.74/10.10
% 9.74/10.10 litselect = negord
% 9.74/10.10
% 9.74/10.10 maxweight = 15
% 9.74/10.10 maxdepth = 30000
% 9.74/10.10 maxlength = 115
% 9.74/10.10 maxnrvars = 195
% 9.74/10.10 excuselevel = 1
% 9.74/10.10 increasemaxweight = 1
% 9.74/10.10
% 9.74/10.10 maxselected = 10000000
% 9.74/10.10 maxnrclauses = 10000000
% 9.74/10.10
% 9.74/10.10 showgenerated = 0
% 9.74/10.10 showkept = 0
% 9.74/10.10 showselected = 0
% 9.74/10.10 showdeleted = 0
% 9.74/10.10 showresimp = 1
% 9.74/10.10 showstatus = 2000
% 9.74/10.10
% 9.74/10.10 prologoutput = 1
% 9.74/10.10 nrgoals = 5000000
% 9.74/10.10 totalproof = 1
% 9.74/10.10
% 9.74/10.10 Symbols occurring in the translation:
% 9.74/10.10
% 9.74/10.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 9.74/10.10 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 9.74/10.10 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 9.74/10.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.74/10.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.74/10.10 ifeq2 [42, 4] (w:1, o:56, a:1, s:1, b:0),
% 9.74/10.10 ifeq [43, 4] (w:1, o:57, a:1, s:1, b:0),
% 9.74/10.10 addition [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 9.74/10.10 zero [45, 0] (w:1, o:15, a:1, s:1, b:0),
% 9.74/10.10 multiplication [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 9.74/10.10 one [47, 0] (w:1, o:9, a:1, s:1, b:0),
% 9.74/10.10 leq [48, 2] (w:1, o:54, a:1, s:1, b:0),
% 9.74/10.10 true [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 9.74/10.10 antidomain [51, 1] (w:1, o:24, a:1, s:1, b:0),
% 9.74/10.10 domain [53, 1] (w:1, o:27, a:1, s:1, b:0),
% 9.74/10.10 coantidomain [54, 1] (w:1, o:25, a:1, s:1, b:0),
% 9.74/10.10 codomain [55, 1] (w:1, o:26, a:1, s:1, b:0),
% 9.74/10.10 'sK2_goals_X0' [56, 0] (w:1, o:6, a:1, s:1, b:0),
% 9.74/10.10 'sK1_goals_X1' [57, 0] (w:1, o:5, a:1, s:1, b:0).
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Starting Search:
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 27245
% 44.83/45.26 Kept: 2022
% 44.83/45.26 Inuse: 364
% 44.83/45.26 Deleted: 61
% 44.83/45.26 Deletedinuse: 17
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 65295
% 44.83/45.26 Kept: 4032
% 44.83/45.26 Inuse: 581
% 44.83/45.26 Deleted: 109
% 44.83/45.26 Deletedinuse: 42
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 116746
% 44.83/45.26 Kept: 6033
% 44.83/45.26 Inuse: 786
% 44.83/45.26 Deleted: 155
% 44.83/45.26 Deletedinuse: 53
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 162390
% 44.83/45.26 Kept: 8036
% 44.83/45.26 Inuse: 958
% 44.83/45.26 Deleted: 215
% 44.83/45.26 Deletedinuse: 54
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 208792
% 44.83/45.26 Kept: 10062
% 44.83/45.26 Inuse: 1079
% 44.83/45.26 Deleted: 230
% 44.83/45.26 Deletedinuse: 54
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 283493
% 44.83/45.26 Kept: 12070
% 44.83/45.26 Inuse: 1195
% 44.83/45.26 Deleted: 241
% 44.83/45.26 Deletedinuse: 54
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 331004
% 44.83/45.26 Kept: 14097
% 44.83/45.26 Inuse: 1306
% 44.83/45.26 Deleted: 246
% 44.83/45.26 Deletedinuse: 54
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 403838
% 44.83/45.26 Kept: 16176
% 44.83/45.26 Inuse: 1503
% 44.83/45.26 Deleted: 327
% 44.83/45.26 Deletedinuse: 54
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 476813
% 44.83/45.26 Kept: 18185
% 44.83/45.26 Inuse: 1616
% 44.83/45.26 Deleted: 933
% 44.83/45.26 Deletedinuse: 540
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying clauses:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 586249
% 44.83/45.26 Kept: 20194
% 44.83/45.26 Inuse: 1764
% 44.83/45.26 Deleted: 9053
% 44.83/45.26 Deletedinuse: 540
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 732499
% 44.83/45.26 Kept: 22218
% 44.83/45.26 Inuse: 2019
% 44.83/45.26 Deleted: 9053
% 44.83/45.26 Deletedinuse: 540
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 840887
% 44.83/45.26 Kept: 24239
% 44.83/45.26 Inuse: 2144
% 44.83/45.26 Deleted: 9053
% 44.83/45.26 Deletedinuse: 540
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 997092
% 44.83/45.26 Kept: 26256
% 44.83/45.26 Inuse: 2306
% 44.83/45.26 Deleted: 9053
% 44.83/45.26 Deletedinuse: 540
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 1122739
% 44.83/45.26 Kept: 28259
% 44.83/45.26 Inuse: 2458
% 44.83/45.26 Deleted: 9084
% 44.83/45.26 Deletedinuse: 571
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 1184175
% 44.83/45.26 Kept: 30305
% 44.83/45.26 Inuse: 2508
% 44.83/45.26 Deleted: 9111
% 44.83/45.26 Deletedinuse: 596
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 1267808
% 44.83/45.26 Kept: 32330
% 44.83/45.26 Inuse: 2576
% 44.83/45.26 Deleted: 9114
% 44.83/45.26 Deletedinuse: 596
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 1407575
% 44.83/45.26 Kept: 34331
% 44.83/45.26 Inuse: 2681
% 44.83/45.26 Deleted: 9127
% 44.83/45.26 Deletedinuse: 597
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 1511617
% 44.83/45.26 Kept: 36388
% 44.83/45.26 Inuse: 2756
% 44.83/45.26 Deleted: 9149
% 44.83/45.26 Deletedinuse: 602
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 1607053
% 44.83/45.26 Kept: 38388
% 44.83/45.26 Inuse: 2825
% 44.83/45.26 Deleted: 9160
% 44.83/45.26 Deletedinuse: 607
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying clauses:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 1714383
% 44.83/45.26 Kept: 40390
% 44.83/45.26 Inuse: 2897
% 44.83/45.26 Deleted: 12786
% 44.83/45.26 Deletedinuse: 607
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 1932099
% 44.83/45.26 Kept: 42424
% 44.83/45.26 Inuse: 3041
% 44.83/45.26 Deleted: 12786
% 44.83/45.26 Deletedinuse: 607
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 2139988
% 44.83/45.26 Kept: 44486
% 44.83/45.26 Inuse: 3170
% 44.83/45.26 Deleted: 12802
% 44.83/45.26 Deletedinuse: 623
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 44.83/45.26 Done
% 44.83/45.26
% 44.83/45.26
% 44.83/45.26 Intermediate Status:
% 44.83/45.26 Generated: 2436233
% 44.83/45.26 Kept: 46526
% 44.83/45.26 Inuse: 3359
% 44.83/45.26 Deleted: 12802
% 44.83/45.26 Deletedinuse: 623
% 44.83/45.26
% 44.83/45.26 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 2557622
% 70.05/70.43 Kept: 48547
% 70.05/70.43 Inuse: 3431
% 70.05/70.43 Deleted: 12802
% 70.05/70.43 Deletedinuse: 623
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 2731210
% 70.05/70.43 Kept: 50549
% 70.05/70.43 Inuse: 3524
% 70.05/70.43 Deleted: 12802
% 70.05/70.43 Deletedinuse: 623
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 3337494
% 70.05/70.43 Kept: 52586
% 70.05/70.43 Inuse: 3994
% 70.05/70.43 Deleted: 12805
% 70.05/70.43 Deletedinuse: 623
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 3533172
% 70.05/70.43 Kept: 54605
% 70.05/70.43 Inuse: 4100
% 70.05/70.43 Deleted: 12805
% 70.05/70.43 Deletedinuse: 623
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 3986236
% 70.05/70.43 Kept: 56648
% 70.05/70.43 Inuse: 4392
% 70.05/70.43 Deleted: 12814
% 70.05/70.43 Deletedinuse: 631
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 4345497
% 70.05/70.43 Kept: 58665
% 70.05/70.43 Inuse: 4613
% 70.05/70.43 Deleted: 12818
% 70.05/70.43 Deletedinuse: 635
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying clauses:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 4753637
% 70.05/70.43 Kept: 60702
% 70.05/70.43 Inuse: 4831
% 70.05/70.43 Deleted: 15873
% 70.05/70.43 Deletedinuse: 635
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 5082866
% 70.05/70.43 Kept: 62727
% 70.05/70.43 Inuse: 4936
% 70.05/70.43 Deleted: 15873
% 70.05/70.43 Deletedinuse: 635
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 5512451
% 70.05/70.43 Kept: 64735
% 70.05/70.43 Inuse: 5143
% 70.05/70.43 Deleted: 15873
% 70.05/70.43 Deletedinuse: 635
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 6136680
% 70.05/70.43 Kept: 66741
% 70.05/70.43 Inuse: 5414
% 70.05/70.43 Deleted: 15875
% 70.05/70.43 Deletedinuse: 637
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 6699154
% 70.05/70.43 Kept: 68746
% 70.05/70.43 Inuse: 5628
% 70.05/70.43 Deleted: 15875
% 70.05/70.43 Deletedinuse: 637
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 7318028
% 70.05/70.43 Kept: 70820
% 70.05/70.43 Inuse: 5824
% 70.05/70.43 Deleted: 15891
% 70.05/70.43 Deletedinuse: 653
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 7637722
% 70.05/70.43 Kept: 72847
% 70.05/70.43 Inuse: 5925
% 70.05/70.43 Deleted: 15892
% 70.05/70.43 Deletedinuse: 653
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 8066233
% 70.05/70.43 Kept: 74847
% 70.05/70.43 Inuse: 6043
% 70.05/70.43 Deleted: 15904
% 70.05/70.43 Deletedinuse: 653
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 8711158
% 70.05/70.43 Kept: 76859
% 70.05/70.43 Inuse: 6254
% 70.05/70.43 Deleted: 15945
% 70.05/70.43 Deletedinuse: 693
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 9044142
% 70.05/70.43 Kept: 78891
% 70.05/70.43 Inuse: 6346
% 70.05/70.43 Deleted: 15957
% 70.05/70.43 Deletedinuse: 701
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying clauses:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 9796015
% 70.05/70.43 Kept: 80893
% 70.05/70.43 Inuse: 6520
% 70.05/70.43 Deleted: 22164
% 70.05/70.43 Deletedinuse: 701
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 11106734
% 70.05/70.43 Kept: 82902
% 70.05/70.43 Inuse: 6863
% 70.05/70.43 Deleted: 22164
% 70.05/70.43 Deletedinuse: 701
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 11337188
% 70.05/70.43 Kept: 84936
% 70.05/70.43 Inuse: 6943
% 70.05/70.43 Deleted: 22297
% 70.05/70.43 Deletedinuse: 834
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 11554909
% 70.05/70.43 Kept: 87020
% 70.05/70.43 Inuse: 7037
% 70.05/70.43 Deleted: 22376
% 70.05/70.43 Deletedinuse: 913
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 11709040
% 70.05/70.43 Kept: 89228
% 70.05/70.43 Inuse: 7085
% 70.05/70.43 Deleted: 22376
% 70.05/70.43 Deletedinuse: 913
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 11818055
% 70.05/70.43 Kept: 91261
% 70.05/70.43 Inuse: 7115
% 70.05/70.43 Deleted: 22762
% 70.05/70.43 Deletedinuse: 1297
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 11964058
% 70.05/70.43 Kept: 93309
% 70.05/70.43 Inuse: 7165
% 70.05/70.43 Deleted: 23095
% 70.05/70.43 Deletedinuse: 1623
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 12113716
% 70.05/70.43 Kept: 95323
% 70.05/70.43 Inuse: 7224
% 70.05/70.43 Deleted: 23275
% 70.05/70.43 Deletedinuse: 1803
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 12204375
% 70.05/70.43 Kept: 97395
% 70.05/70.43 Inuse: 7258
% 70.05/70.43 Deleted: 23373
% 70.05/70.43 Deletedinuse: 1899
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 12336186
% 70.05/70.43 Kept: 99478
% 70.05/70.43 Inuse: 7305
% 70.05/70.43 Deleted: 23373
% 70.05/70.43 Deletedinuse: 1899
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying clauses:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 12613782
% 70.05/70.43 Kept: 101564
% 70.05/70.43 Inuse: 7432
% 70.05/70.43 Deleted: 42679
% 70.05/70.43 Deletedinuse: 1899
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 12946691
% 70.05/70.43 Kept: 103650
% 70.05/70.43 Inuse: 7571
% 70.05/70.43 Deleted: 42687
% 70.05/70.43 Deletedinuse: 1907
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 13318690
% 70.05/70.43 Kept: 105748
% 70.05/70.43 Inuse: 7694
% 70.05/70.43 Deleted: 42687
% 70.05/70.43 Deletedinuse: 1907
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 13581452
% 70.05/70.43 Kept: 107806
% 70.05/70.43 Inuse: 7776
% 70.05/70.43 Deleted: 42688
% 70.05/70.43 Deletedinuse: 1908
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 13898001
% 70.05/70.43 Kept: 109810
% 70.05/70.43 Inuse: 7879
% 70.05/70.43 Deleted: 42688
% 70.05/70.43 Deletedinuse: 1908
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 14159724
% 70.05/70.43 Kept: 111816
% 70.05/70.43 Inuse: 7943
% 70.05/70.43 Deleted: 42688
% 70.05/70.43 Deletedinuse: 1908
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 14410316
% 70.05/70.43 Kept: 113818
% 70.05/70.43 Inuse: 8019
% 70.05/70.43 Deleted: 42688
% 70.05/70.43 Deletedinuse: 1908
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 14801562
% 70.05/70.43 Kept: 115830
% 70.05/70.43 Inuse: 8134
% 70.05/70.43 Deleted: 42688
% 70.05/70.43 Deletedinuse: 1908
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 15070852
% 70.05/70.43 Kept: 117894
% 70.05/70.43 Inuse: 8211
% 70.05/70.43 Deleted: 42688
% 70.05/70.43 Deletedinuse: 1908
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 15359921
% 70.05/70.43 Kept: 119929
% 70.05/70.43 Inuse: 8316
% 70.05/70.43 Deleted: 42688
% 70.05/70.43 Deletedinuse: 1908
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying clauses:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 15727571
% 70.05/70.43 Kept: 121934
% 70.05/70.43 Inuse: 8431
% 70.05/70.43 Deleted: 46147
% 70.05/70.43 Deletedinuse: 1908
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 16347931
% 70.05/70.43 Kept: 123938
% 70.05/70.43 Inuse: 8590
% 70.05/70.43 Deleted: 46147
% 70.05/70.43 Deletedinuse: 1908
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 17043519
% 70.05/70.43 Kept: 126010
% 70.05/70.43 Inuse: 8773
% 70.05/70.43 Deleted: 46147
% 70.05/70.43 Deletedinuse: 1908
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 Intermediate Status:
% 70.05/70.43 Generated: 17159221
% 70.05/70.43 Kept: 128011
% 70.05/70.43 Inuse: 8808
% 70.05/70.43 Deleted: 46413
% 70.05/70.43 Deletedinuse: 2174
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43 Done
% 70.05/70.43
% 70.05/70.43 Resimplifying inuse:
% 70.05/70.43
% 70.05/70.43 Bliksems!, er is een bewijs:
% 70.05/70.43 % SZS status Unsatisfiable
% 70.05/70.43 % SZS output start Refutation
% 70.05/70.43
% 70.05/70.43 clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y )
% 70.05/70.43 , Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 5, [ =( addition( X, X ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ), multiplication(
% 70.05/70.43 multiplication( X, Y ), Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z ) )
% 70.05/70.43 , multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z ) )
% 70.05/70.43 , multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 11, [ =( multiplication( X, zero ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 12, [ =( multiplication( zero, X ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 16, [ =( addition( antidomain( multiplication( X, Y ) ), antidomain(
% 70.05/70.43 multiplication( X, antidomain( antidomain( Y ) ) ) ) ), antidomain(
% 70.05/70.43 multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 17, [ =( addition( antidomain( antidomain( X ) ), antidomain( X ) )
% 70.05/70.43 , one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 20, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.43 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 70.05/70.43 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 21, [ =( addition( coantidomain( coantidomain( X ) ), coantidomain(
% 70.05/70.43 X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 23, [ ~( =( domain( multiplication( 'sK2_goals_X0', domain(
% 70.05/70.43 'sK1_goals_X1' ) ) ), domain( multiplication( 'sK2_goals_X0',
% 70.05/70.43 'sK1_goals_X1' ) ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 24, [ =( codomain( coantidomain( X ) ), coantidomain( codomain( X )
% 70.05/70.43 ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 25, [ =( multiplication( coantidomain( X ), codomain( X ) ), zero )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 26, [ =( coantidomain( one ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 28, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 29, [ =( multiplication( domain( X ), antidomain( X ) ), zero ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 30, [ =( antidomain( one ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 31, [ =( domain( one ), antidomain( zero ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 33, [ =( addition( addition( X, Y ), Z ), addition( addition( Y, Z
% 70.05/70.43 ), X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 34, [ =( addition( addition( Z, Y ), X ), addition( addition( Z, X
% 70.05/70.43 ), Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 36, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 38, [ =( addition( coantidomain( codomain( X ) ), codomain( X ) ),
% 70.05/70.43 one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 39, [ =( addition( addition( Y, codomain( X ) ), coantidomain( X )
% 70.05/70.43 ), addition( Y, one ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 40, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 41, [ =( coantidomain( zero ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 44, [ =( multiplication( multiplication( antidomain( multiplication(
% 70.05/70.43 X, Y ) ), X ), Y ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 45, [ =( multiplication( multiplication( Y, antidomain( X ) ), X )
% 70.05/70.43 , zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 50, [ =( addition( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.43 multiplication( X, T ) ), multiplication( X, addition( multiplication( Y
% 70.05/70.43 , Z ), T ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 51, [ =( addition( multiplication( X, T ), multiplication(
% 70.05/70.43 multiplication( X, Y ), Z ) ), multiplication( X, addition( T,
% 70.05/70.43 multiplication( Y, Z ) ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 52, [ =( multiplication( coantidomain( X ), addition( codomain( X )
% 70.05/70.43 , Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 54, [ =( addition( addition( T, multiplication( X, Y ) ),
% 70.05/70.43 multiplication( X, Z ) ), addition( T, multiplication( X, addition( Y, Z
% 70.05/70.43 ) ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 55, [ =( multiplication( domain( X ), addition( antidomain( X ), Y
% 70.05/70.43 ) ), multiplication( domain( X ), Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 57, [ =( multiplication( X, addition( Y, Z ) ), multiplication( X,
% 70.05/70.43 addition( Z, Y ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 58, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.43 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 59, [ =( multiplication( antidomain( X ), addition( Y, X ) ),
% 70.05/70.43 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 60, [ =( multiplication( X, addition( coantidomain( X ), Y ) ),
% 70.05/70.43 multiplication( X, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 61, [ =( multiplication( X, addition( Y, coantidomain( X ) ) ),
% 70.05/70.43 multiplication( X, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 62, [ =( addition( X, multiplication( X, Y ) ), multiplication( X,
% 70.05/70.43 addition( one, Y ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 63, [ =( addition( multiplication( X, Y ), X ), multiplication( X,
% 70.05/70.43 addition( Y, one ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 64, [ =( addition( codomain( X ), coantidomain( codomain( X ) ) ),
% 70.05/70.43 one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 65, [ =( addition( addition( Y, coantidomain( X ) ), codomain( X )
% 70.05/70.43 ), addition( Y, one ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 71, [ =( multiplication( multiplication( multiplication( X,
% 70.05/70.43 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 77, [ =( multiplication( addition( coantidomain( X ), Y ), codomain(
% 70.05/70.43 X ) ), multiplication( Y, codomain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 80, [ =( multiplication( addition( domain( X ), Y ), antidomain( X
% 70.05/70.43 ) ), multiplication( Y, antidomain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 82, [ =( multiplication( addition( X, Z ), Y ), multiplication(
% 70.05/70.43 addition( Z, X ), Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 83, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 70.05/70.43 multiplication( Y, X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 85, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 70.05/70.43 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 86, [ =( multiplication( addition( Y, X ), coantidomain( X ) ),
% 70.05/70.43 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 87, [ =( addition( X, multiplication( Y, X ) ), multiplication(
% 70.05/70.43 addition( one, Y ), X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 88, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 70.05/70.43 addition( Y, one ), X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 91, [ =( addition( addition( Y, domain( X ) ), antidomain( X ) ),
% 70.05/70.43 addition( Y, one ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 92, [ =( addition( antidomain( domain( X ) ), domain( X ) ), one )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 94, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 97, [ =( domain( zero ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 100, [ =( ifeq( leq( multiplication( X, Y ), multiplication( Z, Y )
% 70.05/70.43 ), true, multiplication( addition( X, Z ), Y ), multiplication( Z, Y ) )
% 70.05/70.43 , multiplication( Z, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 102, [ =( ifeq( leq( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.43 ), true, multiplication( X, addition( Y, Z ) ), multiplication( X, Z ) )
% 70.05/70.43 , multiplication( X, Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 106, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 110, [ =( addition( addition( Y, antidomain( X ) ), domain( X ) ),
% 70.05/70.43 addition( Y, one ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 120, [ =( ifeq2( addition( addition( X, Y ), Z ), addition( Y, Z )
% 70.05/70.43 , leq( X, addition( Y, Z ) ), true ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 121, [ =( leq( zero, X ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 122, [ =( ifeq2( addition( Y, X ), Y, leq( X, Y ), true ), true ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.43 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.43 multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 131, [ =( addition( one, domain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 135, [ =( addition( one, antidomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 136, [ =( addition( one, codomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 138, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 140, [ =( addition( addition( Y, X ), Y ), addition( X, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 144, [ =( addition( domain( X ), one ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 149, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.43 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.43 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 153, [ =( addition( antidomain( X ), one ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 159, [ =( addition( codomain( X ), one ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 162, [ =( addition( addition( Y, codomain( X ) ), one ), addition(
% 70.05/70.43 Y, one ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 167, [ =( addition( coantidomain( X ), one ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 191, [ =( addition( addition( antidomain( X ), Y ), domain( X ) ),
% 70.05/70.43 addition( one, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 195, [ =( addition( addition( coantidomain( X ), Y ), codomain( X )
% 70.05/70.43 ), addition( one, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 237, [ =( addition( multiplication( multiplication( X, Y ), Z ), X
% 70.05/70.43 ), multiplication( X, addition( multiplication( Y, Z ), one ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 253, [ =( multiplication( X, addition( Y, multiplication(
% 70.05/70.43 coantidomain( X ), Z ) ) ), multiplication( X, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 266, [ =( multiplication( coantidomain( X ), coantidomain( codomain(
% 70.05/70.43 X ) ) ), coantidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 321, [ =( multiplication( multiplication( Y, domain( X ) ), X ),
% 70.05/70.43 multiplication( Y, X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 322, [ =( multiplication( antidomain( domain( X ) ), antidomain( X
% 70.05/70.43 ) ), antidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 324, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 356, [ =( multiplication( domain( addition( X, Y ) ), addition( Y,
% 70.05/70.43 X ) ), addition( X, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 365, [ =( multiplication( antidomain( addition( X, Y ) ), addition(
% 70.05/70.43 Y, X ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 381, [ =( multiplication( antidomain( addition( X, Y ) ), Y ), zero
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 390, [ =( multiplication( addition( antidomain( addition( X, Y ) )
% 70.05/70.43 , Z ), Y ), multiplication( Z, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 394, [ =( multiplication( antidomain( addition( X, Y ) ), addition(
% 70.05/70.43 Z, Y ) ), multiplication( antidomain( addition( X, Y ) ), Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 398, [ =( multiplication( antidomain( addition( Y, X ) ), Y ), zero
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 404, [ =( multiplication( antidomain( addition( X, codomain( Y ) )
% 70.05/70.43 ), addition( X, one ) ), antidomain( addition( X, codomain( Y ) ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 406, [ =( multiplication( antidomain( addition( X, codomain( Y ) )
% 70.05/70.43 ), coantidomain( Y ) ), antidomain( addition( X, codomain( Y ) ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 407, [ =( multiplication( antidomain( addition( X, Y ) ), addition(
% 70.05/70.43 X, Z ) ), multiplication( antidomain( addition( X, Y ) ), Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 409, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 413, [ =( multiplication( antidomain( coantidomain( X ) ), codomain(
% 70.05/70.43 X ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 417, [ =( multiplication( antidomain( X ), addition( domain( X ), Y
% 70.05/70.43 ) ), multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 438, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 447, [ =( multiplication( X, addition( Y, codomain( X ) ) ),
% 70.05/70.43 addition( multiplication( X, Y ), X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 448, [ =( multiplication( multiplication( Y, X ), codomain( X ) ),
% 70.05/70.43 multiplication( Y, X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 522, [ =( addition( Y, multiplication( Y, coantidomain( X ) ) ), Y
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 523, [ =( addition( Y, multiplication( Y, codomain( X ) ) ), Y ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 524, [ =( addition( Y, multiplication( Y, antidomain( X ) ) ), Y )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 525, [ =( addition( Y, multiplication( Y, domain( X ) ) ), Y ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 528, [ =( multiplication( X, addition( one, Y ) ), addition(
% 70.05/70.43 multiplication( X, Y ), X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 538, [ =( addition( multiplication( X, coantidomain( Y ) ), X ), X
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 544, [ =( addition( addition( Z, X ), multiplication( X,
% 70.05/70.43 coantidomain( Y ) ) ), addition( X, Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 554, [ =( addition( multiplication( Y, codomain( X ) ), Y ), Y ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 589, [ =( addition( multiplication( Y, antidomain( X ) ), Y ), Y )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 590, [ =( addition( multiplication( Y, domain( X ) ), Y ), Y ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 591, [ =( addition( multiplication( X, addition( Y, one ) ), X ),
% 70.05/70.43 multiplication( X, addition( Y, one ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 592, [ =( ifeq2( multiplication( X, addition( Y, one ) ), X, leq(
% 70.05/70.43 multiplication( X, Y ), X ), true ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 604, [ =( leq( multiplication( X, antidomain( Y ) ), X ), true ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 618, [ =( multiplication( antidomain( addition( X, coantidomain( Y
% 70.05/70.43 ) ) ), codomain( Y ) ), antidomain( addition( X, coantidomain( Y ) ) ) )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 628, [ =( addition( addition( Z, multiplication( X, codomain( Y ) )
% 70.05/70.43 ), X ), addition( X, Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 631, [ =( addition( domain( codomain( X ) ), codomain( X ) ),
% 70.05/70.43 domain( codomain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 849, [ =( codomain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 923, [ =( multiplication( addition( Y, X ), codomain( addition( X,
% 70.05/70.43 Y ) ) ), addition( X, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 929, [ =( multiplication( addition( Y, X ), coantidomain( addition(
% 70.05/70.43 X, Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1002, [ =( multiplication( Y, coantidomain( addition( X, Y ) ) ),
% 70.05/70.43 zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1005, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1006, [ =( domain( one ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1007, [ =( codomain( one ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1012, [ =( multiplication( addition( X, one ), coantidomain(
% 70.05/70.43 addition( X, codomain( Y ) ) ) ), coantidomain( addition( X, codomain( Y
% 70.05/70.43 ) ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1018, [ =( multiplication( coantidomain( Y ), coantidomain(
% 70.05/70.43 addition( X, codomain( Y ) ) ) ), coantidomain( addition( X, codomain( Y
% 70.05/70.43 ) ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1019, [ =( multiplication( X, coantidomain( addition( X, Y ) ) ),
% 70.05/70.43 zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1024, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1055, [ =( multiplication( addition( X, Z ), coantidomain( addition(
% 70.05/70.43 X, Y ) ) ), multiplication( Z, coantidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1058, [ =( multiplication( X, addition( coantidomain( addition( X,
% 70.05/70.43 Y ) ), Z ) ), multiplication( X, Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1062, [ =( coantidomain( addition( one, X ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1064, [ =( codomain( addition( one, X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1068, [ =( codomain( addition( X, one ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1098, [ =( addition( Y, multiplication( antidomain( X ), Y ) ), Y )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1099, [ =( addition( Y, multiplication( codomain( X ), Y ) ), Y ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 1104, [ =( addition( Y, multiplication( coantidomain( X ), Y ) ), Y
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1141, [ =( multiplication( addition( multiplication( X, Y ), one )
% 70.05/70.43 , codomain( Y ) ), addition( multiplication( X, Y ), codomain( Y ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 1160, [ =( multiplication( addition( multiplication( multiplication(
% 70.05/70.43 X, antidomain( multiplication( Y, Z ) ) ), Y ), one ), Z ), Z ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1163, [ =( addition( multiplication( codomain( X ), Y ), Y ), Y ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 1164, [ =( addition( multiplication( domain( X ), Y ), Y ), Y ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 1167, [ =( addition( multiplication( antidomain( X ), Y ), Y ), Y )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1171, [ =( addition( multiplication( coantidomain( X ), Y ), Y ), Y
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1209, [ =( leq( multiplication( codomain( X ), Y ), Y ), true ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 1217, [ =( leq( multiplication( coantidomain( X ), Y ), Y ), true )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1231, [ =( leq( multiplication( domain( X ), Y ), Y ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1233, [ =( leq( multiplication( antidomain( X ), Y ), Y ), true ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 1256, [ =( addition( addition( multiplication( antidomain( X ), Y )
% 70.05/70.43 , Z ), Y ), addition( Y, Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1264, [ =( addition( addition( Y, Z ), multiplication( coantidomain(
% 70.05/70.43 X ), Y ) ), addition( Y, Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1265, [ =( addition( addition( Z, multiplication( coantidomain( X )
% 70.05/70.43 , Y ) ), Y ), addition( Y, Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1267, [ =( multiplication( antidomain( Y ), coantidomain( addition(
% 70.05/70.43 X, domain( Y ) ) ) ), coantidomain( addition( X, domain( Y ) ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1280, [ =( addition( codomain( antidomain( X ) ), antidomain( X ) )
% 70.05/70.43 , codomain( antidomain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1295, [ =( addition( X, multiplication( coantidomain( Y ), addition(
% 70.05/70.43 Z, X ) ) ), addition( X, multiplication( coantidomain( Y ), Z ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1314, [ =( multiplication( addition( X, Z ), coantidomain( addition(
% 70.05/70.43 Y, X ) ) ), multiplication( Z, coantidomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1544, [ =( multiplication( domain( Y ), coantidomain( addition( X,
% 70.05/70.43 antidomain( Y ) ) ) ), coantidomain( addition( X, antidomain( Y ) ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 1831, [ =( leq( X, addition( X, Y ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 1874, [ =( ifeq2( multiplication( addition( one, Y ), X ), X, leq(
% 70.05/70.43 multiplication( Y, X ), X ), true ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2042, [ =( leq( antidomain( multiplication( X, Y ) ), antidomain(
% 70.05/70.43 multiplication( X, domain( Y ) ) ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2074, [ =( antidomain( multiplication( antidomain( addition( X, Y )
% 70.05/70.43 ), domain( X ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2083, [ =( antidomain( multiplication( X, domain( coantidomain( X )
% 70.05/70.43 ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2093, [ =( multiplication( multiplication( Y, X ), domain(
% 70.05/70.43 coantidomain( X ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2097, [ =( domain( multiplication( X, domain( coantidomain( X ) ) )
% 70.05/70.43 ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2100, [ =( multiplication( X, domain( coantidomain( X ) ) ), zero )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2103, [ =( multiplication( X, addition( domain( coantidomain( X ) )
% 70.05/70.43 , Y ) ), multiplication( X, Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2536, [ =( coantidomain( multiplication( codomain( X ),
% 70.05/70.43 coantidomain( addition( Y, X ) ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2561, [ =( multiplication( multiplication( codomain( X ), Y ),
% 70.05/70.43 coantidomain( multiplication( X, Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2567, [ =( coantidomain( multiplication( codomain( multiplication(
% 70.05/70.43 X, antidomain( Y ) ) ), Y ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2570, [ =( coantidomain( multiplication( codomain( antidomain( X )
% 70.05/70.43 ), X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2571, [ =( multiplication( multiplication( Y, codomain( antidomain(
% 70.05/70.43 X ) ) ), X ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2574, [ =( multiplication( codomain( antidomain( X ) ), X ), zero )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 2580, [ =( multiplication( addition( codomain( antidomain( X ) ), Y
% 70.05/70.43 ), X ), multiplication( Y, X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3044, [ =( addition( codomain( antidomain( X ) ), domain( X ) ),
% 70.05/70.43 one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3050, [ =( addition( codomain( domain( X ) ), antidomain( X ) ),
% 70.05/70.43 one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3069, [ =( multiplication( coantidomain( domain( X ) ), antidomain(
% 70.05/70.43 X ) ), coantidomain( domain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3129, [ =( leq( coantidomain( domain( X ) ), antidomain( X ) ),
% 70.05/70.43 true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3138, [ =( leq( coantidomain( antidomain( X ) ), domain( X ) ),
% 70.05/70.43 true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3142, [ =( addition( coantidomain( antidomain( X ) ), domain( X ) )
% 70.05/70.43 , domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3246, [ =( addition( antidomain( multiplication( X, domain( Y ) ) )
% 70.05/70.43 , domain( multiplication( X, Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3265, [ =( addition( domain( codomain( X ) ), coantidomain( X ) ),
% 70.05/70.43 one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3268, [ =( addition( domain( coantidomain( X ) ), codomain( X ) ),
% 70.05/70.43 one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3321, [ =( multiplication( codomain( X ), antidomain( coantidomain(
% 70.05/70.43 X ) ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3381, [ =( addition( coantidomain( multiplication( codomain( X ), Y
% 70.05/70.43 ) ), codomain( multiplication( X, Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3395, [ =( leq( antidomain( coantidomain( X ) ), codomain( X ) ),
% 70.05/70.43 true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3396, [ =( addition( antidomain( coantidomain( X ) ), codomain( X )
% 70.05/70.43 ), codomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3398, [ =( leq( antidomain( codomain( X ) ), coantidomain( X ) ),
% 70.05/70.43 true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3402, [ =( addition( antidomain( codomain( X ) ), coantidomain( X )
% 70.05/70.43 ), coantidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3561, [ =( multiplication( antidomain( coantidomain( antidomain( X
% 70.05/70.43 ) ) ), X ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3882, [ =( multiplication( multiplication( Z, codomain( X ) ),
% 70.05/70.43 coantidomain( addition( Y, X ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3884, [ =( multiplication( codomain( X ), coantidomain( addition( Y
% 70.05/70.43 , X ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3906, [ =( multiplication( codomain( X ), addition( coantidomain(
% 70.05/70.43 addition( Y, X ) ), Z ) ), multiplication( codomain( X ), Z ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3926, [ =( multiplication( codomain( Y ), coantidomain( addition( Y
% 70.05/70.43 , X ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 3935, [ =( multiplication( multiplication( Z, codomain( X ) ),
% 70.05/70.43 coantidomain( addition( X, Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 4137, [ =( multiplication( antidomain( addition( X, Y ) ), domain(
% 70.05/70.43 X ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 4166, [ =( multiplication( addition( antidomain( addition( X, Y ) )
% 70.05/70.43 , Z ), domain( X ) ), multiplication( Z, domain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 4188, [ =( multiplication( antidomain( addition( Y, X ) ), domain(
% 70.05/70.43 X ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 4834, [ =( multiplication( domain( X ), addition( multiplication( X
% 70.05/70.43 , Y ), one ) ), addition( multiplication( X, Y ), domain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 4933, [ =( multiplication( multiplication( Z, codomain(
% 70.05/70.43 multiplication( X, antidomain( Y ) ) ) ), Y ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 6912, [ =( multiplication( codomain( multiplication( antidomain(
% 70.05/70.43 multiplication( X, Y ) ), X ) ), Y ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 11152, [ =( multiplication( domain( addition( X, Y ) ), Y ), Y ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 11227, [ =( multiplication( multiplication( domain( X ), codomain(
% 70.05/70.43 Y ) ), X ), multiplication( codomain( Y ), X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 11238, [ =( leq( antidomain( Y ), domain( addition( X, antidomain(
% 70.05/70.43 Y ) ) ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 11254, [ =( multiplication( domain( addition( Y, X ) ), Y ), Y ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 11313, [ =( multiplication( antidomain( multiplication( X, domain(
% 70.05/70.43 Y ) ) ), antidomain( multiplication( X, Y ) ) ), antidomain(
% 70.05/70.43 multiplication( X, Y ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 11334, [ =( multiplication( addition( Z, domain( addition( X, Y ) )
% 70.05/70.43 ), X ), addition( multiplication( Z, X ), X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 11338, [ =( multiplication( multiplication( Z, domain( addition( X
% 70.05/70.43 , Y ) ) ), X ), multiplication( Z, X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 12781, [ =( leq( antidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.43 coantidomain( Y ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 12795, [ =( leq( antidomain( addition( codomain( Y ), X ) ),
% 70.05/70.43 coantidomain( Y ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 12818, [ =( addition( coantidomain( X ), antidomain( addition(
% 70.05/70.43 codomain( X ), Y ) ) ), coantidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 13113, [ =( leq( antidomain( addition( codomain( X ), Y ) ), domain(
% 70.05/70.43 coantidomain( X ) ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 13157, [ =( addition( coantidomain( X ), domain( addition( codomain(
% 70.05/70.43 X ), Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 13214, [ =( addition( domain( addition( codomain( X ), Y ) ),
% 70.05/70.43 coantidomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 13384, [ =( addition( domain( addition( coantidomain( X ), Y ) ),
% 70.05/70.43 codomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 13406, [ =( addition( domain( multiplication( coantidomain( X ),
% 70.05/70.43 addition( one, Y ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 13413, [ =( addition( domain( addition( Y, coantidomain( X ) ) ),
% 70.05/70.43 codomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 13419, [ =( addition( codomain( Y ), domain( addition( X,
% 70.05/70.43 coantidomain( Y ) ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 14005, [ =( leq( antidomain( addition( coantidomain( X ), Y ) ),
% 70.05/70.43 domain( codomain( X ) ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 14020, [ =( leq( antidomain( coantidomain( multiplication( codomain(
% 70.05/70.43 X ), Y ) ) ), domain( codomain( multiplication( X, Y ) ) ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 15648, [ =( multiplication( coantidomain( antidomain( X ) ), X ), X
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 15794, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 15804, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 15823, [ =( addition( domain( X ), domain( addition( Y, antidomain(
% 70.05/70.43 X ) ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 15949, [ =( multiplication( domain( X ), antidomain( addition( Y,
% 70.05/70.43 antidomain( X ) ) ) ), antidomain( addition( Y, antidomain( X ) ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 16804, [ =( multiplication( X, antidomain( coantidomain( X ) ) ), X
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 16871, [ =( antidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 16872, [ =( antidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 16883, [ =( domain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 16900, [ =( domain( coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 18825, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.43 Y ) ) ), coantidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 18826, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.43 Y ) ) ), coantidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 20018, [ =( leq( codomain( multiplication( codomain( X ), Y ) ),
% 70.05/70.43 codomain( multiplication( X, Y ) ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 21510, [ =( multiplication( multiplication( antidomain( X ),
% 70.05/70.43 codomain( Y ) ), antidomain( X ) ), multiplication( codomain( Y ),
% 70.05/70.43 antidomain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 22381, [ =( multiplication( antidomain( addition( coantidomain( Y )
% 70.05/70.43 , X ) ), coantidomain( addition( T, Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 22410, [ =( multiplication( antidomain( addition( coantidomain( Y )
% 70.05/70.43 , T ) ), coantidomain( addition( Y, X ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 26993, [ =( leq( coantidomain( addition( Y, codomain( X ) ) ),
% 70.05/70.43 coantidomain( X ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27014, [ =( addition( coantidomain( addition( Y, codomain( X ) ) )
% 70.05/70.43 , coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27040, [ =( leq( coantidomain( addition( Y, coantidomain( X ) ) ),
% 70.05/70.43 codomain( X ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27136, [ =( addition( codomain( Y ), coantidomain( addition( X,
% 70.05/70.43 coantidomain( Y ) ) ) ), codomain( Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27185, [ =( addition( codomain( addition( Y, coantidomain( X ) ) )
% 70.05/70.43 , codomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27350, [ =( addition( codomain( addition( coantidomain( Y ), X ) )
% 70.05/70.43 , codomain( Y ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27374, [ =( addition( codomain( addition( Y, codomain( X ) ) ),
% 70.05/70.43 coantidomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27387, [ =( addition( codomain( X ), codomain( addition(
% 70.05/70.43 coantidomain( X ), Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27409, [ =( addition( domain( X ), codomain( addition( antidomain(
% 70.05/70.43 X ), Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27446, [ =( addition( domain( X ), codomain( addition( Y,
% 70.05/70.43 antidomain( X ) ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27454, [ =( addition( coantidomain( X ), codomain( addition( Y,
% 70.05/70.43 codomain( X ) ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27507, [ =( multiplication( X, codomain( addition( Y, codomain( X )
% 70.05/70.43 ) ) ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27532, [ =( multiplication( codomain( addition( Y, domain( X ) ) )
% 70.05/70.43 , X ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 27606, [ =( multiplication( codomain( addition( X, domain( addition(
% 70.05/70.43 Y, Z ) ) ) ), Y ), Y ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 28306, [ =( multiplication( X, domain( addition( codomain( addition(
% 70.05/70.43 X, Y ) ), Z ) ) ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 28310, [ =( multiplication( X, codomain( addition( X, Y ) ) ), X )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 28340, [ =( multiplication( multiplication( X, codomain( Y ) ),
% 70.05/70.43 codomain( X ) ), multiplication( X, codomain( Y ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 28350, [ =( multiplication( X, addition( codomain( addition( X, Y )
% 70.05/70.43 ), Z ) ), addition( X, multiplication( X, Z ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 30616, [ =( multiplication( X, codomain( multiplication( Y,
% 70.05/70.43 coantidomain( X ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 30621, [ =( multiplication( codomain( Y ), antidomain( X ) ),
% 70.05/70.43 multiplication( antidomain( X ), codomain( Y ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 30656, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.43 multiplication( Y, codomain( X ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 30739, [ =( multiplication( coantidomain( Y ), codomain(
% 70.05/70.43 multiplication( X, Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 30988, [ =( multiplication( domain( X ), antidomain( Y ) ),
% 70.05/70.43 multiplication( antidomain( Y ), domain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 31008, [ =( multiplication( coantidomain( X ), antidomain( Y ) ),
% 70.05/70.43 multiplication( antidomain( Y ), coantidomain( X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 31079, [ =( multiplication( domain( Y ), coantidomain( X ) ),
% 70.05/70.43 multiplication( coantidomain( X ), domain( Y ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 31114, [ =( multiplication( domain( Y ), antidomain( addition( X, Y
% 70.05/70.43 ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 31115, [ =( multiplication( domain( X ), antidomain( addition( X, Y
% 70.05/70.43 ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 31204, [ =( multiplication( multiplication( Z, domain( X ) ),
% 70.05/70.43 antidomain( addition( Y, X ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 31238, [ =( multiplication( multiplication( Z, domain( X ) ),
% 70.05/70.43 antidomain( addition( X, Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 31862, [ =( multiplication( multiplication( domain( Y ),
% 70.05/70.43 coantidomain( X ) ), antidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 31957, [ =( multiplication( codomain( multiplication( X, domain( Y
% 70.05/70.43 ) ) ), antidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 32484, [ =( multiplication( coantidomain( Y ), codomain( addition(
% 70.05/70.43 multiplication( X, Y ), codomain( Y ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 34333, [ =( multiplication( antidomain( addition( Z, Y ) ),
% 70.05/70.43 codomain( multiplication( X, domain( Y ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 34382, [ =( multiplication( antidomain( addition( Y, X ) ),
% 70.05/70.43 codomain( multiplication( T, domain( Y ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 34410, [ =( antidomain( addition( X, coantidomain( multiplication(
% 70.05/70.43 Y, domain( X ) ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 34416, [ =( antidomain( addition( Z, antidomain( Z ) ) ), zero ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 34492, [ =( domain( addition( X, antidomain( X ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 34566, [ =( domain( addition( antidomain( X ), X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 37438, [ =( coantidomain( addition( Y, domain( addition( X,
% 70.05/70.43 coantidomain( Y ) ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 37439, [ =( coantidomain( addition( X, domain( addition(
% 70.05/70.43 coantidomain( X ), Y ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 37459, [ =( coantidomain( addition( Y, coantidomain( Y ) ) ), zero
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 37538, [ =( codomain( addition( X, coantidomain( X ) ) ), one ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 37595, [ =( codomain( addition( addition( Y, coantidomain( addition(
% 70.05/70.43 X, Y ) ) ), X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 37597, [ =( codomain( addition( coantidomain( X ), X ) ), one ) ]
% 70.05/70.43 )
% 70.05/70.43 .
% 70.05/70.43 clause( 39457, [ =( coantidomain( addition( multiplication( X, Y ),
% 70.05/70.43 coantidomain( multiplication( codomain( X ), Y ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 40392, [ =( addition( codomain( X ), multiplication( coantidomain(
% 70.05/70.43 Y ), coantidomain( X ) ) ), addition( codomain( X ), coantidomain( Y ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 46468, [ =( multiplication( coantidomain( addition( Y, antidomain(
% 70.05/70.43 X ) ) ), antidomain( addition( X, Z ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 48826, [ =( multiplication( coantidomain( addition( antidomain( Z )
% 70.05/70.43 , X ) ), antidomain( addition( Z, T ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 48855, [ =( multiplication( antidomain( addition( X, Z ) ),
% 70.05/70.43 coantidomain( addition( antidomain( X ), Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 48878, [ =( coantidomain( addition( antidomain( X ), domain(
% 70.05/70.43 addition( X, Y ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 48914, [ =( codomain( addition( domain( addition( X, Y ) ),
% 70.05/70.43 antidomain( X ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 52329, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.43 multiplication( codomain( X ), addition( X, one ) ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 54567, [ =( leq( antidomain( addition( X, multiplication( X, Z ) )
% 70.05/70.43 ), antidomain( X ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 54605, [ =( leq( antidomain( addition( Y, X ) ), antidomain(
% 70.05/70.43 addition( X, Y ) ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 54632, [ =( addition( antidomain( addition( Y, X ) ), antidomain(
% 70.05/70.43 addition( X, Y ) ) ), antidomain( addition( Y, X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 54637, [ =( antidomain( addition( X, Y ) ), antidomain( addition( Y
% 70.05/70.43 , X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 54698, [ =( domain( addition( Y, X ) ), domain( addition( X, Y ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 54734, [ =( addition( antidomain( addition( Y, X ) ), domain(
% 70.05/70.43 addition( X, Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 56307, [ =( leq( codomain( Y ), codomain( addition( multiplication(
% 70.05/70.43 X, Y ), Y ) ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 56338, [ =( leq( codomain( addition( X, Z ) ), codomain( addition(
% 70.05/70.43 Z, X ) ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 56359, [ =( addition( codomain( addition( Y, X ) ), codomain(
% 70.05/70.43 addition( X, Y ) ) ), codomain( addition( Y, X ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 56364, [ =( codomain( addition( X, Y ) ), codomain( addition( Y, X
% 70.05/70.43 ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 56457, [ =( addition( coantidomain( addition( X, Y ) ), codomain(
% 70.05/70.43 addition( Y, X ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 56459, [ =( addition( codomain( addition( Y, X ) ), coantidomain(
% 70.05/70.43 addition( X, Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 59711, [ =( addition( coantidomain( Y ), codomain( multiplication(
% 70.05/70.43 addition( coantidomain( X ), X ), Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 59790, [ =( addition( antidomain( Y ), domain( multiplication( Y,
% 70.05/70.43 addition( antidomain( X ), X ) ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 67206, [ =( multiplication( domain( multiplication( X, addition(
% 70.05/70.43 antidomain( Y ), Y ) ) ), X ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 67401, [ =( multiplication( domain( multiplication( X, antidomain(
% 70.05/70.43 multiplication( coantidomain( X ), Y ) ) ) ), X ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 67613, [ =( multiplication( X, codomain( multiplication( addition(
% 70.05/70.43 coantidomain( Y ), Y ), X ) ) ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 67791, [ =( multiplication( codomain( multiplication( addition(
% 70.05/70.43 coantidomain( Y ), Y ), domain( X ) ) ), X ), X ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 72120, [ =( coantidomain( addition( multiplication( addition(
% 70.05/70.43 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 72180, [ =( codomain( addition( multiplication( addition(
% 70.05/70.43 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 72290, [ =( codomain( addition( multiplication( addition( X,
% 70.05/70.43 coantidomain( X ) ), Y ), coantidomain( Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 72294, [ =( codomain( addition( coantidomain( Y ), multiplication(
% 70.05/70.43 addition( X, coantidomain( X ) ), Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 72314, [ =( codomain( addition( codomain( addition( Y, X ) ),
% 70.05/70.43 coantidomain( X ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 72402, [ =( coantidomain( addition( codomain( addition( X, Y ) ),
% 70.05/70.43 coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 72532, [ =( coantidomain( addition( codomain( addition( Y, X ) ),
% 70.05/70.43 coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 72671, [ =( codomain( addition( coantidomain( X ), codomain(
% 70.05/70.43 addition( X, Y ) ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 72838, [ =( codomain( addition( coantidomain( multiplication( X,
% 70.05/70.43 antidomain( Y ) ) ), codomain( X ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 83307, [ =( multiplication( codomain( Y ), codomain( addition( Y, X
% 70.05/70.43 ) ) ), codomain( Y ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 83378, [ =( leq( codomain( X ), codomain( addition( X, Y ) ) ),
% 70.05/70.43 true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 83527, [ =( leq( codomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.43 codomain( X ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 83530, [ =( leq( codomain( multiplication( X, coantidomain( Y ) ) )
% 70.05/70.43 , codomain( X ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 83900, [ =( addition( codomain( X ), codomain( multiplication( X,
% 70.05/70.43 coantidomain( Y ) ) ) ), codomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 84355, [ =( addition( codomain( X ), coantidomain( multiplication(
% 70.05/70.43 X, coantidomain( Y ) ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 84463, [ =( addition( codomain( Y ), coantidomain( multiplication(
% 70.05/70.43 Y, antidomain( X ) ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 84531, [ =( addition( coantidomain( multiplication( X, antidomain(
% 70.05/70.43 Y ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 84584, [ =( addition( coantidomain( multiplication( Y, domain( X )
% 70.05/70.43 ) ), codomain( Y ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 85450, [ =( addition( coantidomain( multiplication( domain( X ),
% 70.05/70.43 domain( Y ) ) ), domain( X ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 92947, [ =( multiplication( domain( addition( Y, X ) ), domain( X )
% 70.05/70.43 ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 92970, [ =( addition( antidomain( Y ), domain( addition( X, Y ) ) )
% 70.05/70.43 , one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 92978, [ =( leq( domain( Y ), domain( addition( X, Y ) ) ), true )
% 70.05/70.43 ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 93090, [ =( addition( antidomain( Y ), domain( addition( Y, X ) ) )
% 70.05/70.43 , one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 93276, [ =( addition( domain( addition( X, Y ) ), antidomain( X ) )
% 70.05/70.43 , one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 93767, [ =( leq( domain( multiplication( X, domain( Y ) ) ), domain(
% 70.05/70.43 X ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 93768, [ =( leq( domain( multiplication( X, antidomain( Y ) ) ),
% 70.05/70.43 domain( X ) ), true ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 94438, [ =( addition( domain( X ), domain( multiplication( X,
% 70.05/70.43 domain( Y ) ) ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 94452, [ =( addition( domain( multiplication( X, antidomain( Y ) )
% 70.05/70.43 ), domain( X ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 101458, [ =( domain( multiplication( domain( X ), antidomain(
% 70.05/70.43 multiplication( antidomain( X ), Y ) ) ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 125750, [ =( antidomain( addition( multiplication( antidomain( X )
% 70.05/70.43 , Y ), antidomain( X ) ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 126486, [ =( antidomain( multiplication( antidomain( X ), addition(
% 70.05/70.43 Y, one ) ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 126492, [ =( antidomain( addition( multiplication( domain( X ), Y )
% 70.05/70.43 , domain( X ) ) ), antidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 126494, [ =( domain( multiplication( antidomain( X ), addition( Y,
% 70.05/70.43 one ) ) ), antidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 126516, [ =( domain( multiplication( domain( X ), addition( Z, one
% 70.05/70.43 ) ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 126564, [ =( domain( addition( multiplication( X, Y ), domain( X )
% 70.05/70.43 ) ), domain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 127567, [ =( addition( domain( X ), antidomain( multiplication( X,
% 70.05/70.43 Y ) ) ), one ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 127777, [ =( multiplication( antidomain( X ), antidomain(
% 70.05/70.43 multiplication( X, Y ) ) ), antidomain( X ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 128844, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.43 antidomain( multiplication( X, Y ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 129177, [ =( domain( multiplication( X, domain( Y ) ) ), domain(
% 70.05/70.43 multiplication( X, Y ) ) ) ] )
% 70.05/70.43 .
% 70.05/70.43 clause( 129650, [] )
% 70.05/70.43 .
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 % SZS output end Refutation
% 70.05/70.43 found a proof!
% 70.05/70.43
% 70.05/70.43 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 70.05/70.43
% 70.05/70.43 initialclauses(
% 70.05/70.43 [ clause( 129652, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.43 , clause( 129653, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.43 , clause( 129654, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.43 , clause( 129655, [ =( addition( X, addition( Y, Z ) ), addition( addition(
% 70.05/70.43 X, Y ), Z ) ) ] )
% 70.05/70.43 , clause( 129656, [ =( addition( X, zero ), X ) ] )
% 70.05/70.43 , clause( 129657, [ =( addition( X, X ), X ) ] )
% 70.05/70.43 , clause( 129658, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.43 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.43 , clause( 129659, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.43 , clause( 129660, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.43 , clause( 129661, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.43 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.43 , clause( 129662, [ =( multiplication( addition( X, Y ), Z ), addition(
% 70.05/70.43 multiplication( X, Z ), multiplication( Y, Z ) ) ) ] )
% 70.05/70.43 , clause( 129663, [ =( multiplication( X, zero ), zero ) ] )
% 70.05/70.43 , clause( 129664, [ =( multiplication( zero, X ), zero ) ] )
% 70.05/70.43 , clause( 129665, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y )
% 70.05/70.43 ] )
% 70.05/70.43 , clause( 129666, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ),
% 70.05/70.43 true ) ] )
% 70.05/70.43 , clause( 129667, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.43 , clause( 129668, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.43 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ),
% 70.05/70.43 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ] )
% 70.05/70.43 , clause( 129669, [ =( addition( antidomain( antidomain( X ) ), antidomain(
% 70.05/70.43 X ) ), one ) ] )
% 70.05/70.43 , clause( 129670, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 70.05/70.43 , clause( 129671, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.43 , clause( 129672, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.43 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 70.05/70.43 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 , clause( 129673, [ =( addition( coantidomain( coantidomain( X ) ),
% 70.05/70.43 coantidomain( X ) ), one ) ] )
% 70.05/70.43 , clause( 129674, [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 129675, [ ~( =( domain( multiplication( 'sK2_goals_X0',
% 70.05/70.43 'sK1_goals_X1' ) ), domain( multiplication( 'sK2_goals_X0', domain(
% 70.05/70.43 'sK1_goals_X1' ) ) ) ) ) ] )
% 70.05/70.43 ] ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.43 , clause( 129652, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.43 , clause( 129653, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.43 , clause( 129654, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.43 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y )
% 70.05/70.43 , Z ) ) ] )
% 70.05/70.43 , clause( 129655, [ =( addition( X, addition( Y, Z ) ), addition( addition(
% 70.05/70.43 X, Y ), Z ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.43 , clause( 129656, [ =( addition( X, zero ), X ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 5, [ =( addition( X, X ), X ) ] )
% 70.05/70.43 , clause( 129657, [ =( addition( X, X ), X ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ), multiplication(
% 70.05/70.43 multiplication( X, Y ), Z ) ) ] )
% 70.05/70.43 , clause( 129658, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.43 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.43 , clause( 129659, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.43 , clause( 129660, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129722, [ =( addition( multiplication( X, Y ), multiplication( X, Z
% 70.05/70.43 ) ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.43 , clause( 129661, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.43 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z ) )
% 70.05/70.43 , multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.43 , clause( 129722, [ =( addition( multiplication( X, Y ), multiplication( X
% 70.05/70.43 , Z ) ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129732, [ =( addition( multiplication( X, Z ), multiplication( Y, Z
% 70.05/70.43 ) ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.43 , clause( 129662, [ =( multiplication( addition( X, Y ), Z ), addition(
% 70.05/70.43 multiplication( X, Z ), multiplication( Y, Z ) ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z ) )
% 70.05/70.43 , multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.43 , clause( 129732, [ =( addition( multiplication( X, Z ), multiplication( Y
% 70.05/70.43 , Z ) ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 11, [ =( multiplication( X, zero ), zero ) ] )
% 70.05/70.43 , clause( 129663, [ =( multiplication( X, zero ), zero ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 12, [ =( multiplication( zero, X ), zero ) ] )
% 70.05/70.43 , clause( 129664, [ =( multiplication( zero, X ), zero ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 70.05/70.43 , clause( 129665, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y )
% 70.05/70.43 ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.43 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 129666, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ),
% 70.05/70.43 true ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.43 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.43 , clause( 129667, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 16, [ =( addition( antidomain( multiplication( X, Y ) ), antidomain(
% 70.05/70.43 multiplication( X, antidomain( antidomain( Y ) ) ) ) ), antidomain(
% 70.05/70.43 multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ] )
% 70.05/70.43 , clause( 129668, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.43 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ),
% 70.05/70.43 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.43 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 17, [ =( addition( antidomain( antidomain( X ) ), antidomain( X ) )
% 70.05/70.43 , one ) ] )
% 70.05/70.43 , clause( 129669, [ =( addition( antidomain( antidomain( X ) ), antidomain(
% 70.05/70.43 X ) ), one ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129848, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.43 , clause( 129670, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.43 , clause( 129848, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.43 , clause( 129671, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 20, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.43 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 70.05/70.43 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 , clause( 129672, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.43 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 70.05/70.43 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.43 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 21, [ =( addition( coantidomain( coantidomain( X ) ), coantidomain(
% 70.05/70.43 X ) ), one ) ] )
% 70.05/70.43 , clause( 129673, [ =( addition( coantidomain( coantidomain( X ) ),
% 70.05/70.43 coantidomain( X ) ), one ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129930, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 129674, [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 , clause( 129930, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129953, [ ~( =( domain( multiplication( 'sK2_goals_X0', domain(
% 70.05/70.43 'sK1_goals_X1' ) ) ), domain( multiplication( 'sK2_goals_X0',
% 70.05/70.43 'sK1_goals_X1' ) ) ) ) ] )
% 70.05/70.43 , clause( 129675, [ ~( =( domain( multiplication( 'sK2_goals_X0',
% 70.05/70.43 'sK1_goals_X1' ) ), domain( multiplication( 'sK2_goals_X0', domain(
% 70.05/70.43 'sK1_goals_X1' ) ) ) ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 23, [ ~( =( domain( multiplication( 'sK2_goals_X0', domain(
% 70.05/70.43 'sK1_goals_X1' ) ) ), domain( multiplication( 'sK2_goals_X0',
% 70.05/70.43 'sK1_goals_X1' ) ) ) ) ] )
% 70.05/70.43 , clause( 129953, [ ~( =( domain( multiplication( 'sK2_goals_X0', domain(
% 70.05/70.43 'sK1_goals_X1' ) ) ), domain( multiplication( 'sK2_goals_X0',
% 70.05/70.43 'sK1_goals_X1' ) ) ) ) ] )
% 70.05/70.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129954, [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 129957, [ =( codomain( coantidomain( X ) ), coantidomain( codomain(
% 70.05/70.43 X ) ) ) ] )
% 70.05/70.43 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 , 0, clause( 129954, [ =( codomain( X ), coantidomain( coantidomain( X ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.43 coantidomain( X ) )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 24, [ =( codomain( coantidomain( X ) ), coantidomain( codomain( X )
% 70.05/70.43 ) ) ] )
% 70.05/70.43 , clause( 129957, [ =( codomain( coantidomain( X ) ), coantidomain(
% 70.05/70.43 codomain( X ) ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129960, [ =( zero, multiplication( X, coantidomain( X ) ) ) ] )
% 70.05/70.43 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 129961, [ =( zero, multiplication( coantidomain( X ), codomain( X )
% 70.05/70.43 ) ) ] )
% 70.05/70.43 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 , 0, clause( 129960, [ =( zero, multiplication( X, coantidomain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.43 coantidomain( X ) )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129962, [ =( multiplication( coantidomain( X ), codomain( X ) ),
% 70.05/70.43 zero ) ] )
% 70.05/70.43 , clause( 129961, [ =( zero, multiplication( coantidomain( X ), codomain( X
% 70.05/70.43 ) ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 25, [ =( multiplication( coantidomain( X ), codomain( X ) ), zero )
% 70.05/70.43 ] )
% 70.05/70.43 , clause( 129962, [ =( multiplication( coantidomain( X ), codomain( X ) ),
% 70.05/70.43 zero ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129963, [ =( zero, multiplication( X, coantidomain( X ) ) ) ] )
% 70.05/70.43 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 129965, [ =( zero, coantidomain( one ) ) ] )
% 70.05/70.43 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.43 , 0, clause( 129963, [ =( zero, multiplication( X, coantidomain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , 0, 2, substitution( 0, [ :=( X, coantidomain( one ) )] ), substitution( 1
% 70.05/70.43 , [ :=( X, one )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129966, [ =( coantidomain( one ), zero ) ] )
% 70.05/70.43 , clause( 129965, [ =( zero, coantidomain( one ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 26, [ =( coantidomain( one ), zero ) ] )
% 70.05/70.43 , clause( 129966, [ =( coantidomain( one ), zero ) ] )
% 70.05/70.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129968, [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 129969, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 70.05/70.43 , clause( 26, [ =( coantidomain( one ), zero ) ] )
% 70.05/70.43 , 0, clause( 129968, [ =( codomain( X ), coantidomain( coantidomain( X ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, one )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 27, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 70.05/70.43 , clause( 129969, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 70.05/70.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129971, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 70.05/70.43 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 129974, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) )
% 70.05/70.43 ] )
% 70.05/70.43 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.43 , 0, clause( 129971, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 70.05/70.43 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.43 antidomain( X ) )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 28, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 129974, [ =( domain( antidomain( X ) ), antidomain( domain( X ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129977, [ =( zero, multiplication( antidomain( X ), X ) ) ] )
% 70.05/70.43 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 129978, [ =( zero, multiplication( domain( X ), antidomain( X ) ) )
% 70.05/70.43 ] )
% 70.05/70.43 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.43 , 0, clause( 129977, [ =( zero, multiplication( antidomain( X ), X ) ) ] )
% 70.05/70.43 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.43 antidomain( X ) )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129979, [ =( multiplication( domain( X ), antidomain( X ) ), zero )
% 70.05/70.43 ] )
% 70.05/70.43 , clause( 129978, [ =( zero, multiplication( domain( X ), antidomain( X ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 29, [ =( multiplication( domain( X ), antidomain( X ) ), zero ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 129979, [ =( multiplication( domain( X ), antidomain( X ) ), zero
% 70.05/70.43 ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129980, [ =( zero, multiplication( antidomain( X ), X ) ) ] )
% 70.05/70.43 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 129982, [ =( zero, antidomain( one ) ) ] )
% 70.05/70.43 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.43 , 0, clause( 129980, [ =( zero, multiplication( antidomain( X ), X ) ) ] )
% 70.05/70.43 , 0, 2, substitution( 0, [ :=( X, antidomain( one ) )] ), substitution( 1
% 70.05/70.43 , [ :=( X, one )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129983, [ =( antidomain( one ), zero ) ] )
% 70.05/70.43 , clause( 129982, [ =( zero, antidomain( one ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 30, [ =( antidomain( one ), zero ) ] )
% 70.05/70.43 , clause( 129983, [ =( antidomain( one ), zero ) ] )
% 70.05/70.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129985, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 70.05/70.43 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 129986, [ =( domain( one ), antidomain( zero ) ) ] )
% 70.05/70.43 , clause( 30, [ =( antidomain( one ), zero ) ] )
% 70.05/70.43 , 0, clause( 129985, [ =( domain( X ), antidomain( antidomain( X ) ) ) ] )
% 70.05/70.43 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, one )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 31, [ =( domain( one ), antidomain( zero ) ) ] )
% 70.05/70.43 , clause( 129986, [ =( domain( one ), antidomain( zero ) ) ] )
% 70.05/70.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129988, [ =( X, addition( X, zero ) ) ] )
% 70.05/70.43 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 129989, [ =( X, addition( zero, X ) ) ] )
% 70.05/70.43 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.43 , 0, clause( 129988, [ =( X, addition( X, zero ) ) ] )
% 70.05/70.43 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, zero )] ), substitution( 1, [
% 70.05/70.43 :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129992, [ =( addition( zero, X ), X ) ] )
% 70.05/70.43 , clause( 129989, [ =( X, addition( zero, X ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.43 , clause( 129992, [ =( addition( zero, X ), X ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 129993, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 70.05/70.43 Y, Z ) ) ) ] )
% 70.05/70.43 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.43 ), Z ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 129996, [ =( addition( addition( X, Y ), Z ), addition( addition( Y
% 70.05/70.43 , Z ), X ) ) ] )
% 70.05/70.43 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.43 , 0, clause( 129993, [ =( addition( addition( X, Y ), Z ), addition( X,
% 70.05/70.43 addition( Y, Z ) ) ) ] )
% 70.05/70.43 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, addition( Y, Z ) )] ),
% 70.05/70.43 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 33, [ =( addition( addition( X, Y ), Z ), addition( addition( Y, Z
% 70.05/70.43 ), X ) ) ] )
% 70.05/70.43 , clause( 129996, [ =( addition( addition( X, Y ), Z ), addition( addition(
% 70.05/70.43 Y, Z ), X ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130010, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 70.05/70.43 Y, Z ) ) ) ] )
% 70.05/70.43 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.43 ), Z ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130015, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 70.05/70.43 Z, Y ) ) ) ] )
% 70.05/70.43 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.43 , 0, clause( 130010, [ =( addition( addition( X, Y ), Z ), addition( X,
% 70.05/70.43 addition( Y, Z ) ) ) ] )
% 70.05/70.43 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 70.05/70.43 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130028, [ =( addition( addition( X, Y ), Z ), addition( addition( X
% 70.05/70.43 , Z ), Y ) ) ] )
% 70.05/70.43 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.43 ), Z ) ) ] )
% 70.05/70.43 , 0, clause( 130015, [ =( addition( addition( X, Y ), Z ), addition( X,
% 70.05/70.43 addition( Z, Y ) ) ) ] )
% 70.05/70.43 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.43 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 34, [ =( addition( addition( Z, Y ), X ), addition( addition( Z, X
% 70.05/70.43 ), Y ) ) ] )
% 70.05/70.43 , clause( 130028, [ =( addition( addition( X, Y ), Z ), addition( addition(
% 70.05/70.43 X, Z ), Y ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 70.05/70.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130030, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 70.05/70.43 Y, Z ) ) ) ] )
% 70.05/70.43 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.43 ), Z ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130036, [ =( addition( addition( X, Y ), Y ), addition( X, Y ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 5, [ =( addition( X, X ), X ) ] )
% 70.05/70.43 , 0, clause( 130030, [ =( addition( addition( X, Y ), Z ), addition( X,
% 70.05/70.43 addition( Y, Z ) ) ) ] )
% 70.05/70.43 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.43 :=( Y, Y ), :=( Z, Y )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 36, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 70.05/70.43 , clause( 130036, [ =( addition( addition( X, Y ), Y ), addition( X, Y ) )
% 70.05/70.43 ] )
% 70.05/70.43 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.43 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130043, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 , 0, clause( 21, [ =( addition( coantidomain( coantidomain( X ) ),
% 70.05/70.43 coantidomain( X ) ), one ) ] )
% 70.05/70.43 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.43 ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.43 , clause( 130043, [ =( addition( codomain( X ), coantidomain( X ) ), one )
% 70.05/70.43 ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130046, [ =( one, addition( codomain( X ), coantidomain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130048, [ =( one, addition( coantidomain( codomain( X ) ),
% 70.05/70.43 coantidomain( coantidomain( X ) ) ) ) ] )
% 70.05/70.43 , clause( 24, [ =( codomain( coantidomain( X ) ), coantidomain( codomain( X
% 70.05/70.43 ) ) ) ] )
% 70.05/70.43 , 0, clause( 130046, [ =( one, addition( codomain( X ), coantidomain( X ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.43 coantidomain( X ) )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130049, [ =( one, addition( coantidomain( codomain( X ) ), codomain(
% 70.05/70.43 X ) ) ) ] )
% 70.05/70.43 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.43 , 0, clause( 130048, [ =( one, addition( coantidomain( codomain( X ) ),
% 70.05/70.43 coantidomain( coantidomain( X ) ) ) ) ] )
% 70.05/70.43 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.43 ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130050, [ =( addition( coantidomain( codomain( X ) ), codomain( X )
% 70.05/70.43 ), one ) ] )
% 70.05/70.43 , clause( 130049, [ =( one, addition( coantidomain( codomain( X ) ),
% 70.05/70.43 codomain( X ) ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 38, [ =( addition( coantidomain( codomain( X ) ), codomain( X ) ),
% 70.05/70.43 one ) ] )
% 70.05/70.43 , clause( 130050, [ =( addition( coantidomain( codomain( X ) ), codomain( X
% 70.05/70.43 ) ), one ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130052, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 70.05/70.43 Y, Z ) ) ) ] )
% 70.05/70.43 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.43 ), Z ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130054, [ =( addition( addition( X, codomain( Y ) ), coantidomain(
% 70.05/70.43 Y ) ), addition( X, one ) ) ] )
% 70.05/70.43 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.43 , 0, clause( 130052, [ =( addition( addition( X, Y ), Z ), addition( X,
% 70.05/70.43 addition( Y, Z ) ) ) ] )
% 70.05/70.43 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.43 :=( Y, codomain( Y ) ), :=( Z, coantidomain( Y ) )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 39, [ =( addition( addition( Y, codomain( X ) ), coantidomain( X )
% 70.05/70.43 ), addition( Y, one ) ) ] )
% 70.05/70.43 , clause( 130054, [ =( addition( addition( X, codomain( Y ) ), coantidomain(
% 70.05/70.43 Y ) ), addition( X, one ) ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.43 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130057, [ =( one, addition( codomain( X ), coantidomain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130058, [ =( one, addition( coantidomain( X ), codomain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.43 , 0, clause( 130057, [ =( one, addition( codomain( X ), coantidomain( X ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 , 0, 2, substitution( 0, [ :=( X, codomain( X ) ), :=( Y, coantidomain( X )
% 70.05/70.43 )] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130061, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 130058, [ =( one, addition( coantidomain( X ), codomain( X ) ) )
% 70.05/70.43 ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 40, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 70.05/70.43 , clause( 130061, [ =( addition( coantidomain( X ), codomain( X ) ), one )
% 70.05/70.43 ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130063, [ =( one, addition( codomain( X ), coantidomain( X ) ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130066, [ =( one, addition( coantidomain( zero ), coantidomain( one
% 70.05/70.43 ) ) ) ] )
% 70.05/70.43 , clause( 27, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 70.05/70.43 , 0, clause( 130063, [ =( one, addition( codomain( X ), coantidomain( X ) )
% 70.05/70.43 ) ] )
% 70.05/70.43 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, one )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130067, [ =( one, addition( coantidomain( zero ), zero ) ) ] )
% 70.05/70.43 , clause( 26, [ =( coantidomain( one ), zero ) ] )
% 70.05/70.43 , 0, clause( 130066, [ =( one, addition( coantidomain( zero ), coantidomain(
% 70.05/70.43 one ) ) ) ] )
% 70.05/70.43 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130068, [ =( one, coantidomain( zero ) ) ] )
% 70.05/70.43 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.43 , 0, clause( 130067, [ =( one, addition( coantidomain( zero ), zero ) ) ]
% 70.05/70.43 )
% 70.05/70.43 , 0, 2, substitution( 0, [ :=( X, coantidomain( zero ) )] ), substitution(
% 70.05/70.43 1, [] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130069, [ =( coantidomain( zero ), one ) ] )
% 70.05/70.43 , clause( 130068, [ =( one, coantidomain( zero ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 41, [ =( coantidomain( zero ), one ) ] )
% 70.05/70.43 , clause( 130069, [ =( coantidomain( zero ), one ) ] )
% 70.05/70.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130070, [ =( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.43 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 70.05/70.43 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.43 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130073, [ =( multiplication( multiplication( antidomain(
% 70.05/70.43 multiplication( X, Y ) ), X ), Y ), zero ) ] )
% 70.05/70.43 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.43 , 0, clause( 130070, [ =( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.43 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 70.05/70.43 , 0, 9, substitution( 0, [ :=( X, multiplication( X, Y ) )] ),
% 70.05/70.43 substitution( 1, [ :=( X, antidomain( multiplication( X, Y ) ) ), :=( Y,
% 70.05/70.43 X ), :=( Z, Y )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 44, [ =( multiplication( multiplication( antidomain( multiplication(
% 70.05/70.43 X, Y ) ), X ), Y ), zero ) ] )
% 70.05/70.43 , clause( 130073, [ =( multiplication( multiplication( antidomain(
% 70.05/70.43 multiplication( X, Y ) ), X ), Y ), zero ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.43 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130079, [ =( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.43 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 70.05/70.43 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.43 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130084, [ =( multiplication( multiplication( X, antidomain( Y ) ),
% 70.05/70.43 Y ), multiplication( X, zero ) ) ] )
% 70.05/70.43 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.43 , 0, clause( 130079, [ =( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.43 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 70.05/70.43 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.43 :=( Y, antidomain( Y ) ), :=( Z, Y )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130085, [ =( multiplication( multiplication( X, antidomain( Y ) ),
% 70.05/70.43 Y ), zero ) ] )
% 70.05/70.43 , clause( 11, [ =( multiplication( X, zero ), zero ) ] )
% 70.05/70.43 , 0, clause( 130084, [ =( multiplication( multiplication( X, antidomain( Y
% 70.05/70.43 ) ), Y ), multiplication( X, zero ) ) ] )
% 70.05/70.43 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.43 :=( Y, Y )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 45, [ =( multiplication( multiplication( Y, antidomain( X ) ), X )
% 70.05/70.43 , zero ) ] )
% 70.05/70.43 , clause( 130085, [ =( multiplication( multiplication( X, antidomain( Y ) )
% 70.05/70.43 , Y ), zero ) ] )
% 70.05/70.43 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.43 )] ) ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130088, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.43 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.43 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.43 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 paramod(
% 70.05/70.43 clause( 130089, [ =( multiplication( X, addition( multiplication( Y, Z ), T
% 70.05/70.43 ) ), addition( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.43 multiplication( X, T ) ) ) ] )
% 70.05/70.43 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.43 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.43 , 0, clause( 130088, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.43 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.43 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.43 substitution( 1, [ :=( X, X ), :=( Y, multiplication( Y, Z ) ), :=( Z, T
% 70.05/70.43 )] )).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 eqswap(
% 70.05/70.43 clause( 130091, [ =( addition( multiplication( multiplication( X, Y ), Z )
% 70.05/70.43 , multiplication( X, T ) ), multiplication( X, addition( multiplication(
% 70.05/70.43 Y, Z ), T ) ) ) ] )
% 70.05/70.43 , clause( 130089, [ =( multiplication( X, addition( multiplication( Y, Z )
% 70.05/70.43 , T ) ), addition( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.43 multiplication( X, T ) ) ) ] )
% 70.05/70.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 70.05/70.43 ).
% 70.05/70.43
% 70.05/70.43
% 70.05/70.43 subsumption(
% 70.05/70.43 clause( 50, [ =( addition( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.43 multiplication( X, T ) ), multiplication( X, addition( multiplication( Y
% 70.05/70.44 , Z ), T ) ) ) ] )
% 70.05/70.44 , clause( 130091, [ =( addition( multiplication( multiplication( X, Y ), Z
% 70.05/70.44 ), multiplication( X, T ) ), multiplication( X, addition( multiplication(
% 70.05/70.44 Y, Z ), T ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130094, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130096, [ =( multiplication( X, addition( Y, multiplication( Z, T )
% 70.05/70.44 ) ), addition( multiplication( X, Y ), multiplication( multiplication( X
% 70.05/70.44 , Z ), T ) ) ) ] )
% 70.05/70.44 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.44 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, clause( 130094, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiplication( Z, T )
% 70.05/70.44 )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130098, [ =( addition( multiplication( X, Y ), multiplication(
% 70.05/70.44 multiplication( X, Z ), T ) ), multiplication( X, addition( Y,
% 70.05/70.44 multiplication( Z, T ) ) ) ) ] )
% 70.05/70.44 , clause( 130096, [ =( multiplication( X, addition( Y, multiplication( Z, T
% 70.05/70.44 ) ) ), addition( multiplication( X, Y ), multiplication( multiplication(
% 70.05/70.44 X, Z ), T ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 51, [ =( addition( multiplication( X, T ), multiplication(
% 70.05/70.44 multiplication( X, Y ), Z ) ), multiplication( X, addition( T,
% 70.05/70.44 multiplication( Y, Z ) ) ) ) ] )
% 70.05/70.44 , clause( 130098, [ =( addition( multiplication( X, Y ), multiplication(
% 70.05/70.44 multiplication( X, Z ), T ) ), multiplication( X, addition( Y,
% 70.05/70.44 multiplication( Z, T ) ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130100, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130102, [ =( multiplication( coantidomain( X ), addition( codomain(
% 70.05/70.44 X ), Y ) ), addition( zero, multiplication( coantidomain( X ), Y ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 25, [ =( multiplication( coantidomain( X ), codomain( X ) ), zero
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, clause( 130100, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 coantidomain( X ) ), :=( Y, codomain( X ) ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130104, [ =( multiplication( coantidomain( X ), addition( codomain(
% 70.05/70.44 X ), Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 70.05/70.44 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130102, [ =( multiplication( coantidomain( X ), addition(
% 70.05/70.44 codomain( X ), Y ) ), addition( zero, multiplication( coantidomain( X ),
% 70.05/70.44 Y ) ) ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, multiplication( coantidomain( X ), Y ) )] )
% 70.05/70.44 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 52, [ =( multiplication( coantidomain( X ), addition( codomain( X )
% 70.05/70.44 , Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 70.05/70.44 , clause( 130104, [ =( multiplication( coantidomain( X ), addition(
% 70.05/70.44 codomain( X ), Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130107, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 70.05/70.44 Y, Z ) ) ) ] )
% 70.05/70.44 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.44 ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130111, [ =( addition( addition( X, multiplication( Y, Z ) ),
% 70.05/70.44 multiplication( Y, T ) ), addition( X, multiplication( Y, addition( Z, T
% 70.05/70.44 ) ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, clause( 130107, [ =( addition( addition( X, Y ), Z ), addition( X,
% 70.05/70.44 addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, multiplication( Y, Z ) ), :=( Z,
% 70.05/70.44 multiplication( Y, T ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 54, [ =( addition( addition( T, multiplication( X, Y ) ),
% 70.05/70.44 multiplication( X, Z ) ), addition( T, multiplication( X, addition( Y, Z
% 70.05/70.44 ) ) ) ) ] )
% 70.05/70.44 , clause( 130111, [ =( addition( addition( X, multiplication( Y, Z ) ),
% 70.05/70.44 multiplication( Y, T ) ), addition( X, multiplication( Y, addition( Z, T
% 70.05/70.44 ) ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130115, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130117, [ =( multiplication( domain( X ), addition( antidomain( X )
% 70.05/70.44 , Y ) ), addition( zero, multiplication( domain( X ), Y ) ) ) ] )
% 70.05/70.44 , clause( 29, [ =( multiplication( domain( X ), antidomain( X ) ), zero ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, clause( 130115, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.44 X ) ), :=( Y, antidomain( X ) ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130119, [ =( multiplication( domain( X ), addition( antidomain( X )
% 70.05/70.44 , Y ) ), multiplication( domain( X ), Y ) ) ] )
% 70.05/70.44 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130117, [ =( multiplication( domain( X ), addition( antidomain(
% 70.05/70.44 X ), Y ) ), addition( zero, multiplication( domain( X ), Y ) ) ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, multiplication( domain( X ), Y ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 55, [ =( multiplication( domain( X ), addition( antidomain( X ), Y
% 70.05/70.44 ) ), multiplication( domain( X ), Y ) ) ] )
% 70.05/70.44 , clause( 130119, [ =( multiplication( domain( X ), addition( antidomain( X
% 70.05/70.44 ), Y ) ), multiplication( domain( X ), Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130121, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130123, [ =( multiplication( X, addition( Z, Y ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130121, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 70.05/70.44 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130125, [ =( multiplication( X, addition( Y, Z ) ), multiplication(
% 70.05/70.44 X, addition( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, clause( 130123, [ =( multiplication( X, addition( Z, Y ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 57, [ =( multiplication( X, addition( Y, Z ) ), multiplication( X,
% 70.05/70.44 addition( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 130125, [ =( multiplication( X, addition( Y, Z ) ),
% 70.05/70.44 multiplication( X, addition( Z, Y ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130127, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130130, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.44 addition( zero, multiplication( antidomain( X ), Y ) ) ) ] )
% 70.05/70.44 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.44 , 0, clause( 130127, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 antidomain( X ) ), :=( Y, X ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130132, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130130, [ =( multiplication( antidomain( X ), addition( X, Y )
% 70.05/70.44 ), addition( zero, multiplication( antidomain( X ), Y ) ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, multiplication( antidomain( X ), Y ) )] )
% 70.05/70.44 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 58, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , clause( 130132, [ =( multiplication( antidomain( X ), addition( X, Y ) )
% 70.05/70.44 , multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130135, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130139, [ =( multiplication( antidomain( X ), addition( Y, X ) ),
% 70.05/70.44 addition( multiplication( antidomain( X ), Y ), zero ) ) ] )
% 70.05/70.44 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.44 , 0, clause( 130135, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 antidomain( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130140, [ =( multiplication( antidomain( X ), addition( Y, X ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.44 , 0, clause( 130139, [ =( multiplication( antidomain( X ), addition( Y, X )
% 70.05/70.44 ), addition( multiplication( antidomain( X ), Y ), zero ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, multiplication( antidomain( X ), Y ) )] )
% 70.05/70.44 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 59, [ =( multiplication( antidomain( X ), addition( Y, X ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , clause( 130140, [ =( multiplication( antidomain( X ), addition( Y, X ) )
% 70.05/70.44 , multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130143, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130145, [ =( multiplication( X, addition( coantidomain( X ), Y ) )
% 70.05/70.44 , addition( zero, multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.44 , 0, clause( 130143, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, coantidomain( X ) ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130147, [ =( multiplication( X, addition( coantidomain( X ), Y ) )
% 70.05/70.44 , multiplication( X, Y ) ) ] )
% 70.05/70.44 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130145, [ =( multiplication( X, addition( coantidomain( X ), Y
% 70.05/70.44 ) ), addition( zero, multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, multiplication( X, Y ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 60, [ =( multiplication( X, addition( coantidomain( X ), Y ) ),
% 70.05/70.44 multiplication( X, Y ) ) ] )
% 70.05/70.44 , clause( 130147, [ =( multiplication( X, addition( coantidomain( X ), Y )
% 70.05/70.44 ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130150, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130153, [ =( multiplication( X, addition( Y, coantidomain( X ) ) )
% 70.05/70.44 , addition( multiplication( X, Y ), zero ) ) ] )
% 70.05/70.44 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.44 , 0, clause( 130150, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y ), :=( Z, coantidomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130154, [ =( multiplication( X, addition( Y, coantidomain( X ) ) )
% 70.05/70.44 , multiplication( X, Y ) ) ] )
% 70.05/70.44 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.44 , 0, clause( 130153, [ =( multiplication( X, addition( Y, coantidomain( X )
% 70.05/70.44 ) ), addition( multiplication( X, Y ), zero ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, multiplication( X, Y ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 61, [ =( multiplication( X, addition( Y, coantidomain( X ) ) ),
% 70.05/70.44 multiplication( X, Y ) ) ] )
% 70.05/70.44 , clause( 130154, [ =( multiplication( X, addition( Y, coantidomain( X ) )
% 70.05/70.44 ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130157, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130158, [ =( multiplication( X, addition( one, Y ) ), addition( X,
% 70.05/70.44 multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130157, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, one ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130160, [ =( addition( X, multiplication( X, Y ) ), multiplication(
% 70.05/70.44 X, addition( one, Y ) ) ) ] )
% 70.05/70.44 , clause( 130158, [ =( multiplication( X, addition( one, Y ) ), addition( X
% 70.05/70.44 , multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 62, [ =( addition( X, multiplication( X, Y ) ), multiplication( X,
% 70.05/70.44 addition( one, Y ) ) ) ] )
% 70.05/70.44 , clause( 130160, [ =( addition( X, multiplication( X, Y ) ),
% 70.05/70.44 multiplication( X, addition( one, Y ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130163, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130165, [ =( multiplication( X, addition( Y, one ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130163, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y ), :=( Z, one )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130167, [ =( addition( multiplication( X, Y ), X ), multiplication(
% 70.05/70.44 X, addition( Y, one ) ) ) ] )
% 70.05/70.44 , clause( 130165, [ =( multiplication( X, addition( Y, one ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 63, [ =( addition( multiplication( X, Y ), X ), multiplication( X,
% 70.05/70.44 addition( Y, one ) ) ) ] )
% 70.05/70.44 , clause( 130167, [ =( addition( multiplication( X, Y ), X ),
% 70.05/70.44 multiplication( X, addition( Y, one ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130169, [ =( one, addition( coantidomain( X ), codomain( X ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 40, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130171, [ =( one, addition( coantidomain( coantidomain( X ) ),
% 70.05/70.44 coantidomain( codomain( X ) ) ) ) ] )
% 70.05/70.44 , clause( 24, [ =( codomain( coantidomain( X ) ), coantidomain( codomain( X
% 70.05/70.44 ) ) ) ] )
% 70.05/70.44 , 0, clause( 130169, [ =( one, addition( coantidomain( X ), codomain( X ) )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 coantidomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130172, [ =( one, addition( codomain( X ), coantidomain( codomain(
% 70.05/70.44 X ) ) ) ) ] )
% 70.05/70.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.44 , 0, clause( 130171, [ =( one, addition( coantidomain( coantidomain( X ) )
% 70.05/70.44 , coantidomain( codomain( X ) ) ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130173, [ =( addition( codomain( X ), coantidomain( codomain( X ) )
% 70.05/70.44 ), one ) ] )
% 70.05/70.44 , clause( 130172, [ =( one, addition( codomain( X ), coantidomain( codomain(
% 70.05/70.44 X ) ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 64, [ =( addition( codomain( X ), coantidomain( codomain( X ) ) ),
% 70.05/70.44 one ) ] )
% 70.05/70.44 , clause( 130173, [ =( addition( codomain( X ), coantidomain( codomain( X )
% 70.05/70.44 ) ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130175, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 70.05/70.44 Y, Z ) ) ) ] )
% 70.05/70.44 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.44 ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130177, [ =( addition( addition( X, coantidomain( Y ) ), codomain(
% 70.05/70.44 Y ) ), addition( X, one ) ) ] )
% 70.05/70.44 , clause( 40, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130175, [ =( addition( addition( X, Y ), Z ), addition( X,
% 70.05/70.44 addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, coantidomain( Y ) ), :=( Z, codomain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 65, [ =( addition( addition( Y, coantidomain( X ) ), codomain( X )
% 70.05/70.44 ), addition( Y, one ) ) ] )
% 70.05/70.44 , clause( 130177, [ =( addition( addition( X, coantidomain( Y ) ), codomain(
% 70.05/70.44 Y ) ), addition( X, one ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130180, [ =( zero, multiplication( multiplication( X, antidomain( Y
% 70.05/70.44 ) ), Y ) ) ] )
% 70.05/70.44 , clause( 45, [ =( multiplication( multiplication( Y, antidomain( X ) ), X
% 70.05/70.44 ), zero ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130182, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.44 X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ] )
% 70.05/70.44 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.44 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, clause( 130180, [ =( zero, multiplication( multiplication( X,
% 70.05/70.44 antidomain( Y ) ), Y ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, multiplication( X, antidomain(
% 70.05/70.44 multiplication( Y, Z ) ) ) ), :=( Y, Y ), :=( Z, Z )] ), substitution( 1
% 70.05/70.44 , [ :=( X, X ), :=( Y, multiplication( Y, Z ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130183, [ =( multiplication( multiplication( multiplication( X,
% 70.05/70.44 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 70.05/70.44 , clause( 130182, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.44 X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 71, [ =( multiplication( multiplication( multiplication( X,
% 70.05/70.44 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 70.05/70.44 , clause( 130183, [ =( multiplication( multiplication( multiplication( X,
% 70.05/70.44 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130185, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130187, [ =( multiplication( addition( coantidomain( X ), Y ),
% 70.05/70.44 codomain( X ) ), addition( zero, multiplication( Y, codomain( X ) ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 25, [ =( multiplication( coantidomain( X ), codomain( X ) ), zero
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, clause( 130185, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 coantidomain( X ) ), :=( Y, codomain( X ) ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130189, [ =( multiplication( addition( coantidomain( X ), Y ),
% 70.05/70.44 codomain( X ) ), multiplication( Y, codomain( X ) ) ) ] )
% 70.05/70.44 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130187, [ =( multiplication( addition( coantidomain( X ), Y )
% 70.05/70.44 , codomain( X ) ), addition( zero, multiplication( Y, codomain( X ) ) ) )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, multiplication( Y, codomain( X ) ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 77, [ =( multiplication( addition( coantidomain( X ), Y ), codomain(
% 70.05/70.44 X ) ), multiplication( Y, codomain( X ) ) ) ] )
% 70.05/70.44 , clause( 130189, [ =( multiplication( addition( coantidomain( X ), Y ),
% 70.05/70.44 codomain( X ) ), multiplication( Y, codomain( X ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130192, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130194, [ =( multiplication( addition( domain( X ), Y ), antidomain(
% 70.05/70.44 X ) ), addition( zero, multiplication( Y, antidomain( X ) ) ) ) ] )
% 70.05/70.44 , clause( 29, [ =( multiplication( domain( X ), antidomain( X ) ), zero ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, clause( 130192, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.44 X ) ), :=( Y, antidomain( X ) ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130196, [ =( multiplication( addition( domain( X ), Y ), antidomain(
% 70.05/70.44 X ) ), multiplication( Y, antidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130194, [ =( multiplication( addition( domain( X ), Y ),
% 70.05/70.44 antidomain( X ) ), addition( zero, multiplication( Y, antidomain( X ) ) )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, multiplication( Y, antidomain( X ) ) )] )
% 70.05/70.44 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 80, [ =( multiplication( addition( domain( X ), Y ), antidomain( X
% 70.05/70.44 ) ), multiplication( Y, antidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 130196, [ =( multiplication( addition( domain( X ), Y ),
% 70.05/70.44 antidomain( X ) ), multiplication( Y, antidomain( X ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130198, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130200, [ =( multiplication( addition( Y, X ), Z ), addition(
% 70.05/70.44 multiplication( X, Z ), multiplication( Y, Z ) ) ) ] )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130198, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.44 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130202, [ =( multiplication( addition( X, Y ), Z ), multiplication(
% 70.05/70.44 addition( Y, X ), Z ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, clause( 130200, [ =( multiplication( addition( Y, X ), Z ), addition(
% 70.05/70.44 multiplication( X, Z ), multiplication( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 70.05/70.44 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 82, [ =( multiplication( addition( X, Z ), Y ), multiplication(
% 70.05/70.44 addition( Z, X ), Y ) ) ] )
% 70.05/70.44 , clause( 130202, [ =( multiplication( addition( X, Y ), Z ),
% 70.05/70.44 multiplication( addition( Y, X ), Z ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130204, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130206, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 70.05/70.44 addition( zero, multiplication( Y, X ) ) ) ] )
% 70.05/70.44 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.44 , 0, clause( 130204, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 antidomain( X ) ), :=( Y, X ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130208, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 70.05/70.44 multiplication( Y, X ) ) ] )
% 70.05/70.44 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130206, [ =( multiplication( addition( antidomain( X ), Y ), X
% 70.05/70.44 ), addition( zero, multiplication( Y, X ) ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, multiplication( Y, X ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 83, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 70.05/70.44 multiplication( Y, X ) ) ] )
% 70.05/70.44 , clause( 130208, [ =( multiplication( addition( antidomain( X ), Y ), X )
% 70.05/70.44 , multiplication( Y, X ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130211, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130214, [ =( multiplication( addition( X, Y ), coantidomain( X ) )
% 70.05/70.44 , addition( zero, multiplication( Y, coantidomain( X ) ) ) ) ] )
% 70.05/70.44 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.44 , 0, clause( 130211, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, coantidomain( X ) ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130216, [ =( multiplication( addition( X, Y ), coantidomain( X ) )
% 70.05/70.44 , multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130214, [ =( multiplication( addition( X, Y ), coantidomain( X
% 70.05/70.44 ) ), addition( zero, multiplication( Y, coantidomain( X ) ) ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, multiplication( Y, coantidomain( X ) ) )] )
% 70.05/70.44 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 85, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 70.05/70.44 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 130216, [ =( multiplication( addition( X, Y ), coantidomain( X )
% 70.05/70.44 ), multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130219, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130223, [ =( multiplication( addition( X, Y ), coantidomain( Y ) )
% 70.05/70.44 , addition( multiplication( X, coantidomain( Y ) ), zero ) ) ] )
% 70.05/70.44 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.44 , 0, clause( 130219, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, coantidomain( Y ) ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130224, [ =( multiplication( addition( X, Y ), coantidomain( Y ) )
% 70.05/70.44 , multiplication( X, coantidomain( Y ) ) ) ] )
% 70.05/70.44 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.44 , 0, clause( 130223, [ =( multiplication( addition( X, Y ), coantidomain( Y
% 70.05/70.44 ) ), addition( multiplication( X, coantidomain( Y ) ), zero ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, multiplication( X, coantidomain( Y ) ) )] )
% 70.05/70.44 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 86, [ =( multiplication( addition( Y, X ), coantidomain( X ) ),
% 70.05/70.44 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 130224, [ =( multiplication( addition( X, Y ), coantidomain( Y )
% 70.05/70.44 ), multiplication( X, coantidomain( Y ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130227, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130228, [ =( multiplication( addition( one, X ), Y ), addition( Y,
% 70.05/70.44 multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130227, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, one ),
% 70.05/70.44 :=( Y, Y ), :=( Z, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130230, [ =( addition( Y, multiplication( X, Y ) ), multiplication(
% 70.05/70.44 addition( one, X ), Y ) ) ] )
% 70.05/70.44 , clause( 130228, [ =( multiplication( addition( one, X ), Y ), addition( Y
% 70.05/70.44 , multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 87, [ =( addition( X, multiplication( Y, X ) ), multiplication(
% 70.05/70.44 addition( one, Y ), X ) ) ] )
% 70.05/70.44 , clause( 130230, [ =( addition( Y, multiplication( X, Y ) ),
% 70.05/70.44 multiplication( addition( one, X ), Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130233, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130235, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.44 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130233, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y ), :=( Z, one )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130237, [ =( addition( multiplication( X, Y ), Y ), multiplication(
% 70.05/70.44 addition( X, one ), Y ) ) ] )
% 70.05/70.44 , clause( 130235, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 88, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 70.05/70.44 addition( Y, one ), X ) ) ] )
% 70.05/70.44 , clause( 130237, [ =( addition( multiplication( X, Y ), Y ),
% 70.05/70.44 multiplication( addition( X, one ), Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130240, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.44 , 0, clause( 17, [ =( addition( antidomain( antidomain( X ) ), antidomain(
% 70.05/70.44 X ) ), one ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130240, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130243, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 70.05/70.44 Y, Z ) ) ) ] )
% 70.05/70.44 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.44 ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130245, [ =( addition( addition( X, domain( Y ) ), antidomain( Y )
% 70.05/70.44 ), addition( X, one ) ) ] )
% 70.05/70.44 , clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130243, [ =( addition( addition( X, Y ), Z ), addition( X,
% 70.05/70.44 addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, domain( Y ) ), :=( Z, antidomain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 91, [ =( addition( addition( Y, domain( X ) ), antidomain( X ) ),
% 70.05/70.44 addition( Y, one ) ) ] )
% 70.05/70.44 , clause( 130245, [ =( addition( addition( X, domain( Y ) ), antidomain( Y
% 70.05/70.44 ) ), addition( X, one ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130249, [ =( one, addition( domain( X ), antidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130251, [ =( one, addition( antidomain( domain( X ) ), antidomain(
% 70.05/70.44 antidomain( X ) ) ) ) ] )
% 70.05/70.44 , clause( 28, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, clause( 130249, [ =( one, addition( domain( X ), antidomain( X ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 antidomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130252, [ =( one, addition( antidomain( domain( X ) ), domain( X )
% 70.05/70.44 ) ) ] )
% 70.05/70.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.44 , 0, clause( 130251, [ =( one, addition( antidomain( domain( X ) ),
% 70.05/70.44 antidomain( antidomain( X ) ) ) ) ] )
% 70.05/70.44 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130253, [ =( addition( antidomain( domain( X ) ), domain( X ) ),
% 70.05/70.44 one ) ] )
% 70.05/70.44 , clause( 130252, [ =( one, addition( antidomain( domain( X ) ), domain( X
% 70.05/70.44 ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 92, [ =( addition( antidomain( domain( X ) ), domain( X ) ), one )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 130253, [ =( addition( antidomain( domain( X ) ), domain( X ) ),
% 70.05/70.44 one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130255, [ =( one, addition( domain( X ), antidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130258, [ =( one, addition( antidomain( zero ), antidomain( one ) )
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 31, [ =( domain( one ), antidomain( zero ) ) ] )
% 70.05/70.44 , 0, clause( 130255, [ =( one, addition( domain( X ), antidomain( X ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, one )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130259, [ =( one, addition( antidomain( zero ), zero ) ) ] )
% 70.05/70.44 , clause( 30, [ =( antidomain( one ), zero ) ] )
% 70.05/70.44 , 0, clause( 130258, [ =( one, addition( antidomain( zero ), antidomain(
% 70.05/70.44 one ) ) ) ] )
% 70.05/70.44 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130260, [ =( one, antidomain( zero ) ) ] )
% 70.05/70.44 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.44 , 0, clause( 130259, [ =( one, addition( antidomain( zero ), zero ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, antidomain( zero ) )] ), substitution( 1
% 70.05/70.44 , [] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130261, [ =( antidomain( zero ), one ) ] )
% 70.05/70.44 , clause( 130260, [ =( one, antidomain( zero ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.44 , clause( 130261, [ =( antidomain( zero ), one ) ] )
% 70.05/70.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130262, [ =( one, addition( domain( X ), antidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130263, [ =( one, addition( antidomain( X ), domain( X ) ) ) ] )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130262, [ =( one, addition( domain( X ), antidomain( X ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, domain( X ) ), :=( Y, antidomain( X ) )] )
% 70.05/70.44 , substitution( 1, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130266, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130263, [ =( one, addition( antidomain( X ), domain( X ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 94, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130266, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130268, [ =( zero, multiplication( domain( X ), antidomain( X ) ) )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 29, [ =( multiplication( domain( X ), antidomain( X ) ), zero ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130270, [ =( zero, multiplication( domain( zero ), one ) ) ] )
% 70.05/70.44 , clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.44 , 0, clause( 130268, [ =( zero, multiplication( domain( X ), antidomain( X
% 70.05/70.44 ) ) ) ] )
% 70.05/70.44 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, zero )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130271, [ =( zero, domain( zero ) ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130270, [ =( zero, multiplication( domain( zero ), one ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, domain( zero ) )] ), substitution( 1, [] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130272, [ =( domain( zero ), zero ) ] )
% 70.05/70.44 , clause( 130271, [ =( zero, domain( zero ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 97, [ =( domain( zero ), zero ) ] )
% 70.05/70.44 , clause( 130272, [ =( domain( zero ), zero ) ] )
% 70.05/70.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130274, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130275, [ =( multiplication( X, Y ), ifeq( leq( multiplication( Z,
% 70.05/70.44 Y ), multiplication( X, Y ) ), true, multiplication( addition( Z, X ), Y
% 70.05/70.44 ), multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, clause( 130274, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.44 substitution( 1, [ :=( X, multiplication( Z, Y ) ), :=( Y, multiplication(
% 70.05/70.44 X, Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130276, [ =( ifeq( leq( multiplication( Z, Y ), multiplication( X,
% 70.05/70.44 Y ) ), true, multiplication( addition( Z, X ), Y ), multiplication( X, Y
% 70.05/70.44 ) ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , clause( 130275, [ =( multiplication( X, Y ), ifeq( leq( multiplication( Z
% 70.05/70.44 , Y ), multiplication( X, Y ) ), true, multiplication( addition( Z, X ),
% 70.05/70.44 Y ), multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 100, [ =( ifeq( leq( multiplication( X, Y ), multiplication( Z, Y )
% 70.05/70.44 ), true, multiplication( addition( X, Z ), Y ), multiplication( Z, Y ) )
% 70.05/70.44 , multiplication( Z, Y ) ) ] )
% 70.05/70.44 , clause( 130276, [ =( ifeq( leq( multiplication( Z, Y ), multiplication( X
% 70.05/70.44 , Y ) ), true, multiplication( addition( Z, X ), Y ), multiplication( X,
% 70.05/70.44 Y ) ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130278, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130279, [ =( multiplication( X, Y ), ifeq( leq( multiplication( X,
% 70.05/70.44 Z ), multiplication( X, Y ) ), true, multiplication( X, addition( Z, Y )
% 70.05/70.44 ), multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, clause( 130278, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.44 substitution( 1, [ :=( X, multiplication( X, Z ) ), :=( Y, multiplication(
% 70.05/70.44 X, Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130280, [ =( ifeq( leq( multiplication( X, Z ), multiplication( X,
% 70.05/70.44 Y ) ), true, multiplication( X, addition( Z, Y ) ), multiplication( X, Y
% 70.05/70.44 ) ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , clause( 130279, [ =( multiplication( X, Y ), ifeq( leq( multiplication( X
% 70.05/70.44 , Z ), multiplication( X, Y ) ), true, multiplication( X, addition( Z, Y
% 70.05/70.44 ) ), multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 102, [ =( ifeq( leq( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), true, multiplication( X, addition( Y, Z ) ), multiplication( X, Z ) )
% 70.05/70.44 , multiplication( X, Z ) ) ] )
% 70.05/70.44 , clause( 130280, [ =( ifeq( leq( multiplication( X, Z ), multiplication( X
% 70.05/70.44 , Y ) ), true, multiplication( X, addition( Z, Y ) ), multiplication( X,
% 70.05/70.44 Y ) ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130281, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130282, [ =( X, ifeq( leq( Y, X ), true, addition( X, Y ), X ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130281, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.44 :=( X, Y ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130285, [ =( ifeq( leq( Y, X ), true, addition( X, Y ), X ), X ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130282, [ =( X, ifeq( leq( Y, X ), true, addition( X, Y ), X ) )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 106, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ] )
% 70.05/70.44 , clause( 130285, [ =( ifeq( leq( Y, X ), true, addition( X, Y ), X ), X )
% 70.05/70.44 ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130287, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 70.05/70.44 Y, Z ) ) ) ] )
% 70.05/70.44 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.44 ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130289, [ =( addition( addition( X, antidomain( Y ) ), domain( Y )
% 70.05/70.44 ), addition( X, one ) ) ] )
% 70.05/70.44 , clause( 94, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130287, [ =( addition( addition( X, Y ), Z ), addition( X,
% 70.05/70.44 addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, antidomain( Y ) ), :=( Z, domain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 110, [ =( addition( addition( Y, antidomain( X ) ), domain( X ) ),
% 70.05/70.44 addition( Y, one ) ) ] )
% 70.05/70.44 , clause( 130289, [ =( addition( addition( X, antidomain( Y ) ), domain( Y
% 70.05/70.44 ) ), addition( X, one ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130293, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ), true )
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130294, [ =( true, ifeq2( addition( addition( X, Y ), Z ), addition(
% 70.05/70.44 Y, Z ), leq( X, addition( Y, Z ) ), true ) ) ] )
% 70.05/70.44 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.44 ), Z ) ) ] )
% 70.05/70.44 , 0, clause( 130293, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ),
% 70.05/70.44 true ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, addition( Y, Z ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130295, [ =( ifeq2( addition( addition( X, Y ), Z ), addition( Y, Z
% 70.05/70.44 ), leq( X, addition( Y, Z ) ), true ), true ) ] )
% 70.05/70.44 , clause( 130294, [ =( true, ifeq2( addition( addition( X, Y ), Z ),
% 70.05/70.44 addition( Y, Z ), leq( X, addition( Y, Z ) ), true ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 120, [ =( ifeq2( addition( addition( X, Y ), Z ), addition( Y, Z )
% 70.05/70.44 , leq( X, addition( Y, Z ) ), true ), true ) ] )
% 70.05/70.44 , clause( 130295, [ =( ifeq2( addition( addition( X, Y ), Z ), addition( Y
% 70.05/70.44 , Z ), leq( X, addition( Y, Z ) ), true ), true ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130297, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ), true )
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130299, [ =( true, ifeq2( X, X, leq( zero, X ), true ) ) ] )
% 70.05/70.44 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130297, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ),
% 70.05/70.44 true ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, zero )
% 70.05/70.44 , :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130300, [ =( true, leq( zero, X ) ) ] )
% 70.05/70.44 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.44 , 0, clause( 130299, [ =( true, ifeq2( X, X, leq( zero, X ), true ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, leq( zero, X ) ), :=( Z, true
% 70.05/70.44 )] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130301, [ =( leq( zero, X ), true ) ] )
% 70.05/70.44 , clause( 130300, [ =( true, leq( zero, X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 121, [ =( leq( zero, X ), true ) ] )
% 70.05/70.44 , clause( 130301, [ =( leq( zero, X ), true ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130302, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ), true )
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130303, [ =( true, ifeq2( addition( Y, X ), Y, leq( X, Y ), true )
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130302, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ),
% 70.05/70.44 true ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.44 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130306, [ =( ifeq2( addition( X, Y ), X, leq( Y, X ), true ), true
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 130303, [ =( true, ifeq2( addition( Y, X ), Y, leq( X, Y ), true
% 70.05/70.44 ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 122, [ =( ifeq2( addition( Y, X ), Y, leq( X, Y ), true ), true ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130306, [ =( ifeq2( addition( X, Y ), X, leq( Y, X ), true ),
% 70.05/70.44 true ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130310, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ),
% 70.05/70.44 antidomain( multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.44 , 0, clause( 16, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ),
% 70.05/70.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ) ] )
% 70.05/70.44 , 0, 15, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130311, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.44 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.44 multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.44 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.44 , 0, clause( 130310, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.44 antidomain( multiplication( X, antidomain( antidomain( Y ) ) ) ) ),
% 70.05/70.44 antidomain( multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.44 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.44 multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.44 , clause( 130311, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.44 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.44 multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130316, [ =( addition( X, Y ), addition( addition( X, Y ), Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 36, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130318, [ =( addition( antidomain( domain( X ) ), domain( X ) ),
% 70.05/70.44 addition( one, domain( X ) ) ) ] )
% 70.05/70.44 , clause( 92, [ =( addition( antidomain( domain( X ) ), domain( X ) ), one
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, clause( 130316, [ =( addition( X, Y ), addition( addition( X, Y ), Y )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 antidomain( domain( X ) ) ), :=( Y, domain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130319, [ =( one, addition( one, domain( X ) ) ) ] )
% 70.05/70.44 , clause( 92, [ =( addition( antidomain( domain( X ) ), domain( X ) ), one
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, clause( 130318, [ =( addition( antidomain( domain( X ) ), domain( X )
% 70.05/70.44 ), addition( one, domain( X ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130321, [ =( addition( one, domain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130319, [ =( one, addition( one, domain( X ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 131, [ =( addition( one, domain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130321, [ =( addition( one, domain( X ) ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130324, [ =( addition( X, Y ), addition( addition( X, Y ), Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 36, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130326, [ =( addition( domain( X ), antidomain( X ) ), addition(
% 70.05/70.44 one, antidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130324, [ =( addition( X, Y ), addition( addition( X, Y ), Y )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.44 X ) ), :=( Y, antidomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130327, [ =( one, addition( one, antidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130326, [ =( addition( domain( X ), antidomain( X ) ),
% 70.05/70.44 addition( one, antidomain( X ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130329, [ =( addition( one, antidomain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130327, [ =( one, addition( one, antidomain( X ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 135, [ =( addition( one, antidomain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130329, [ =( addition( one, antidomain( X ) ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130332, [ =( addition( X, Y ), addition( addition( X, Y ), Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 36, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130334, [ =( addition( coantidomain( codomain( X ) ), codomain( X )
% 70.05/70.44 ), addition( one, codomain( X ) ) ) ] )
% 70.05/70.44 , clause( 38, [ =( addition( coantidomain( codomain( X ) ), codomain( X ) )
% 70.05/70.44 , one ) ] )
% 70.05/70.44 , 0, clause( 130332, [ =( addition( X, Y ), addition( addition( X, Y ), Y )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 coantidomain( codomain( X ) ) ), :=( Y, codomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130335, [ =( one, addition( one, codomain( X ) ) ) ] )
% 70.05/70.44 , clause( 38, [ =( addition( coantidomain( codomain( X ) ), codomain( X ) )
% 70.05/70.44 , one ) ] )
% 70.05/70.44 , 0, clause( 130334, [ =( addition( coantidomain( codomain( X ) ), codomain(
% 70.05/70.44 X ) ), addition( one, codomain( X ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130337, [ =( addition( one, codomain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130335, [ =( one, addition( one, codomain( X ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 136, [ =( addition( one, codomain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130337, [ =( addition( one, codomain( X ) ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130340, [ =( addition( X, Y ), addition( addition( X, Y ), Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 36, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130342, [ =( addition( codomain( X ), coantidomain( X ) ), addition(
% 70.05/70.44 one, coantidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130340, [ =( addition( X, Y ), addition( addition( X, Y ), Y )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 codomain( X ) ), :=( Y, coantidomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130343, [ =( one, addition( one, coantidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130342, [ =( addition( codomain( X ), coantidomain( X ) ),
% 70.05/70.44 addition( one, coantidomain( X ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130345, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130343, [ =( one, addition( one, coantidomain( X ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 138, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.44 , clause( 130345, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130347, [ =( addition( X, Y ), addition( addition( X, Y ), Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 36, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130351, [ =( addition( X, Y ), addition( Y, addition( X, Y ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130347, [ =( addition( X, Y ), addition( addition( X, Y ), Y )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 4, substitution( 0, [ :=( X, addition( X, Y ) ), :=( Y, Y )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130357, [ =( addition( X, Y ), addition( addition( Y, X ), Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.44 ), Z ) ) ] )
% 70.05/70.44 , 0, clause( 130351, [ =( addition( X, Y ), addition( Y, addition( X, Y ) )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130358, [ =( addition( addition( Y, X ), Y ), addition( X, Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130357, [ =( addition( X, Y ), addition( addition( Y, X ), Y ) )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 140, [ =( addition( addition( Y, X ), Y ), addition( X, Y ) ) ] )
% 70.05/70.44 , clause( 130358, [ =( addition( addition( Y, X ), Y ), addition( X, Y ) )
% 70.05/70.44 ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130359, [ =( one, addition( one, domain( X ) ) ) ] )
% 70.05/70.44 , clause( 131, [ =( addition( one, domain( X ) ), one ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130360, [ =( one, addition( domain( X ), one ) ) ] )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130359, [ =( one, addition( one, domain( X ) ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, one ), :=( Y, domain( X ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130363, [ =( addition( domain( X ), one ), one ) ] )
% 70.05/70.44 , clause( 130360, [ =( one, addition( domain( X ), one ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 144, [ =( addition( domain( X ), one ), one ) ] )
% 70.05/70.44 , clause( 130363, [ =( addition( domain( X ), one ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130367, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.44 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 70.05/70.44 , coantidomain( multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.44 , 0, clause( 20, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.44 coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) ) )
% 70.05/70.44 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130368, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.44 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.44 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.44 , 0, clause( 130367, [ =( addition( coantidomain( multiplication( X, Y ) )
% 70.05/70.44 , coantidomain( multiplication( coantidomain( coantidomain( X ) ), Y ) )
% 70.05/70.44 ), coantidomain( multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 149, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.44 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.44 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.44 , clause( 130368, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.44 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.44 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130372, [ =( one, addition( one, antidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 135, [ =( addition( one, antidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130373, [ =( one, addition( antidomain( X ), one ) ) ] )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130372, [ =( one, addition( one, antidomain( X ) ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, one ), :=( Y, antidomain( X ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130376, [ =( addition( antidomain( X ), one ), one ) ] )
% 70.05/70.44 , clause( 130373, [ =( one, addition( antidomain( X ), one ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 153, [ =( addition( antidomain( X ), one ), one ) ] )
% 70.05/70.44 , clause( 130376, [ =( addition( antidomain( X ), one ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130377, [ =( one, addition( one, codomain( X ) ) ) ] )
% 70.05/70.44 , clause( 136, [ =( addition( one, codomain( X ) ), one ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130378, [ =( one, addition( codomain( X ), one ) ) ] )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130377, [ =( one, addition( one, codomain( X ) ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, one ), :=( Y, codomain( X ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130381, [ =( addition( codomain( X ), one ), one ) ] )
% 70.05/70.44 , clause( 130378, [ =( one, addition( codomain( X ), one ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 159, [ =( addition( codomain( X ), one ), one ) ] )
% 70.05/70.44 , clause( 130381, [ =( addition( codomain( X ), one ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130383, [ =( addition( addition( X, Y ), Z ), addition( X, addition(
% 70.05/70.44 Y, Z ) ) ) ] )
% 70.05/70.44 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.44 ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130385, [ =( addition( addition( X, codomain( Y ) ), one ),
% 70.05/70.44 addition( X, one ) ) ] )
% 70.05/70.44 , clause( 159, [ =( addition( codomain( X ), one ), one ) ] )
% 70.05/70.44 , 0, clause( 130383, [ =( addition( addition( X, Y ), Z ), addition( X,
% 70.05/70.44 addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, codomain( Y ) ), :=( Z, one )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 162, [ =( addition( addition( Y, codomain( X ) ), one ), addition(
% 70.05/70.44 Y, one ) ) ] )
% 70.05/70.44 , clause( 130385, [ =( addition( addition( X, codomain( Y ) ), one ),
% 70.05/70.44 addition( X, one ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130388, [ =( one, addition( one, coantidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 138, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130389, [ =( one, addition( coantidomain( X ), one ) ) ] )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130388, [ =( one, addition( one, coantidomain( X ) ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, one ), :=( Y, coantidomain( X ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130392, [ =( addition( coantidomain( X ), one ), one ) ] )
% 70.05/70.44 , clause( 130389, [ =( one, addition( coantidomain( X ), one ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 167, [ =( addition( coantidomain( X ), one ), one ) ] )
% 70.05/70.44 , clause( 130392, [ =( addition( coantidomain( X ), one ), one ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130394, [ =( addition( addition( Y, Z ), X ), addition( addition( X
% 70.05/70.44 , Y ), Z ) ) ] )
% 70.05/70.44 , clause( 33, [ =( addition( addition( X, Y ), Z ), addition( addition( Y,
% 70.05/70.44 Z ), X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130396, [ =( addition( addition( antidomain( X ), Y ), domain( X )
% 70.05/70.44 ), addition( one, Y ) ) ] )
% 70.05/70.44 , clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130394, [ =( addition( addition( Y, Z ), X ), addition(
% 70.05/70.44 addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.44 X ) ), :=( Y, antidomain( X ) ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 191, [ =( addition( addition( antidomain( X ), Y ), domain( X ) ),
% 70.05/70.44 addition( one, Y ) ) ] )
% 70.05/70.44 , clause( 130396, [ =( addition( addition( antidomain( X ), Y ), domain( X
% 70.05/70.44 ) ), addition( one, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130400, [ =( addition( addition( Y, Z ), X ), addition( addition( X
% 70.05/70.44 , Y ), Z ) ) ] )
% 70.05/70.44 , clause( 33, [ =( addition( addition( X, Y ), Z ), addition( addition( Y,
% 70.05/70.44 Z ), X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130402, [ =( addition( addition( coantidomain( X ), Y ), codomain(
% 70.05/70.44 X ) ), addition( one, Y ) ) ] )
% 70.05/70.44 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130400, [ =( addition( addition( Y, Z ), X ), addition(
% 70.05/70.44 addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 codomain( X ) ), :=( Y, coantidomain( X ) ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 195, [ =( addition( addition( coantidomain( X ), Y ), codomain( X )
% 70.05/70.44 ), addition( one, Y ) ) ] )
% 70.05/70.44 , clause( 130402, [ =( addition( addition( coantidomain( X ), Y ), codomain(
% 70.05/70.44 X ) ), addition( one, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130406, [ =( multiplication( X, addition( multiplication( Y, Z ), T
% 70.05/70.44 ) ), addition( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.44 multiplication( X, T ) ) ) ] )
% 70.05/70.44 , clause( 50, [ =( addition( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.44 multiplication( X, T ) ), multiplication( X, addition( multiplication( Y
% 70.05/70.44 , Z ), T ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130410, [ =( multiplication( X, addition( multiplication( Y, Z ),
% 70.05/70.44 one ) ), addition( multiplication( multiplication( X, Y ), Z ), X ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130406, [ =( multiplication( X, addition( multiplication( Y, Z
% 70.05/70.44 ), T ) ), addition( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.44 multiplication( X, T ) ) ) ] )
% 70.05/70.44 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y ), :=( Z, Z ), :=( T, one )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130416, [ =( addition( multiplication( multiplication( X, Y ), Z )
% 70.05/70.44 , X ), multiplication( X, addition( multiplication( Y, Z ), one ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130410, [ =( multiplication( X, addition( multiplication( Y, Z )
% 70.05/70.44 , one ) ), addition( multiplication( multiplication( X, Y ), Z ), X ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 237, [ =( addition( multiplication( multiplication( X, Y ), Z ), X
% 70.05/70.44 ), multiplication( X, addition( multiplication( Y, Z ), one ) ) ) ] )
% 70.05/70.44 , clause( 130416, [ =( addition( multiplication( multiplication( X, Y ), Z
% 70.05/70.44 ), X ), multiplication( X, addition( multiplication( Y, Z ), one ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130418, [ =( multiplication( X, addition( Y, multiplication( Z, T )
% 70.05/70.44 ) ), addition( multiplication( X, Y ), multiplication( multiplication( X
% 70.05/70.44 , Z ), T ) ) ) ] )
% 70.05/70.44 , clause( 51, [ =( addition( multiplication( X, T ), multiplication(
% 70.05/70.44 multiplication( X, Y ), Z ) ), multiplication( X, addition( T,
% 70.05/70.44 multiplication( Y, Z ) ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130424, [ =( multiplication( X, addition( Y, multiplication(
% 70.05/70.44 coantidomain( X ), Z ) ) ), addition( multiplication( X, Y ),
% 70.05/70.44 multiplication( zero, Z ) ) ) ] )
% 70.05/70.44 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.44 , 0, clause( 130418, [ =( multiplication( X, addition( Y, multiplication( Z
% 70.05/70.44 , T ) ) ), addition( multiplication( X, Y ), multiplication(
% 70.05/70.44 multiplication( X, Z ), T ) ) ) ] )
% 70.05/70.44 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y ), :=( Z, coantidomain( X ) ), :=( T, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130425, [ =( multiplication( X, addition( Y, multiplication(
% 70.05/70.44 coantidomain( X ), Z ) ) ), addition( multiplication( X, Y ), zero ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 12, [ =( multiplication( zero, X ), zero ) ] )
% 70.05/70.44 , 0, clause( 130424, [ =( multiplication( X, addition( Y, multiplication(
% 70.05/70.44 coantidomain( X ), Z ) ) ), addition( multiplication( X, Y ),
% 70.05/70.44 multiplication( zero, Z ) ) ) ] )
% 70.05/70.44 , 0, 13, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130426, [ =( multiplication( X, addition( Y, multiplication(
% 70.05/70.44 coantidomain( X ), Z ) ) ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.44 , 0, clause( 130425, [ =( multiplication( X, addition( Y, multiplication(
% 70.05/70.44 coantidomain( X ), Z ) ) ), addition( multiplication( X, Y ), zero ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, multiplication( X, Y ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 253, [ =( multiplication( X, addition( Y, multiplication(
% 70.05/70.44 coantidomain( X ), Z ) ) ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , clause( 130426, [ =( multiplication( X, addition( Y, multiplication(
% 70.05/70.44 coantidomain( X ), Z ) ) ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130429, [ =( multiplication( coantidomain( X ), Y ), multiplication(
% 70.05/70.44 coantidomain( X ), addition( codomain( X ), Y ) ) ) ] )
% 70.05/70.44 , clause( 52, [ =( multiplication( coantidomain( X ), addition( codomain( X
% 70.05/70.44 ), Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130431, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.44 codomain( X ) ) ), multiplication( coantidomain( X ), one ) ) ] )
% 70.05/70.44 , clause( 64, [ =( addition( codomain( X ), coantidomain( codomain( X ) ) )
% 70.05/70.44 , one ) ] )
% 70.05/70.44 , 0, clause( 130429, [ =( multiplication( coantidomain( X ), Y ),
% 70.05/70.44 multiplication( coantidomain( X ), addition( codomain( X ), Y ) ) ) ] )
% 70.05/70.44 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, coantidomain( codomain( X ) ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130432, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.44 codomain( X ) ) ), coantidomain( X ) ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130431, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.44 codomain( X ) ) ), multiplication( coantidomain( X ), one ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, coantidomain( X ) )] ), substitution( 1
% 70.05/70.44 , [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 266, [ =( multiplication( coantidomain( X ), coantidomain( codomain(
% 70.05/70.44 X ) ) ), coantidomain( X ) ) ] )
% 70.05/70.44 , clause( 130432, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.44 codomain( X ) ) ), coantidomain( X ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130435, [ =( multiplication( Y, X ), multiplication( addition(
% 70.05/70.44 antidomain( X ), Y ), X ) ) ] )
% 70.05/70.44 , clause( 83, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 70.05/70.44 multiplication( Y, X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130437, [ =( multiplication( domain( X ), X ), multiplication( one
% 70.05/70.44 , X ) ) ] )
% 70.05/70.44 , clause( 94, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130435, [ =( multiplication( Y, X ), multiplication( addition(
% 70.05/70.44 antidomain( X ), Y ), X ) ) ] )
% 70.05/70.44 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, domain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130438, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.44 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130437, [ =( multiplication( domain( X ), X ), multiplication(
% 70.05/70.44 one, X ) ) ] )
% 70.05/70.44 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.44 , clause( 130438, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130441, [ =( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.44 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 70.05/70.44 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.44 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130446, [ =( multiplication( multiplication( X, domain( Y ) ), Y )
% 70.05/70.44 , multiplication( X, Y ) ) ] )
% 70.05/70.44 , clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.44 , 0, clause( 130441, [ =( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.44 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, domain( Y ) ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 321, [ =( multiplication( multiplication( Y, domain( X ) ), X ),
% 70.05/70.44 multiplication( Y, X ) ) ] )
% 70.05/70.44 , clause( 130446, [ =( multiplication( multiplication( X, domain( Y ) ), Y
% 70.05/70.44 ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130451, [ =( X, multiplication( domain( X ), X ) ) ] )
% 70.05/70.44 , clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130452, [ =( antidomain( X ), multiplication( antidomain( domain( X
% 70.05/70.44 ) ), antidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 28, [ =( domain( antidomain( X ) ), antidomain( domain( X ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, clause( 130451, [ =( X, multiplication( domain( X ), X ) ) ] )
% 70.05/70.44 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 antidomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130453, [ =( multiplication( antidomain( domain( X ) ), antidomain(
% 70.05/70.44 X ) ), antidomain( X ) ) ] )
% 70.05/70.44 , clause( 130452, [ =( antidomain( X ), multiplication( antidomain( domain(
% 70.05/70.44 X ) ), antidomain( X ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 322, [ =( multiplication( antidomain( domain( X ) ), antidomain( X
% 70.05/70.44 ) ), antidomain( X ) ) ] )
% 70.05/70.44 , clause( 130453, [ =( multiplication( antidomain( domain( X ) ),
% 70.05/70.44 antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130455, [ =( multiplication( domain( X ), Y ), multiplication(
% 70.05/70.44 domain( X ), addition( antidomain( X ), Y ) ) ) ] )
% 70.05/70.44 , clause( 55, [ =( multiplication( domain( X ), addition( antidomain( X ),
% 70.05/70.44 Y ) ), multiplication( domain( X ), Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130458, [ =( multiplication( domain( domain( X ) ), domain( X ) ),
% 70.05/70.44 multiplication( domain( domain( X ) ), one ) ) ] )
% 70.05/70.44 , clause( 92, [ =( addition( antidomain( domain( X ) ), domain( X ) ), one
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, clause( 130455, [ =( multiplication( domain( X ), Y ), multiplication(
% 70.05/70.44 domain( X ), addition( antidomain( X ), Y ) ) ) ] )
% 70.05/70.44 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.44 X ) ), :=( Y, domain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130459, [ =( multiplication( domain( domain( X ) ), domain( X ) ),
% 70.05/70.44 domain( domain( X ) ) ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130458, [ =( multiplication( domain( domain( X ) ), domain( X
% 70.05/70.44 ) ), multiplication( domain( domain( X ) ), one ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, domain( domain( X ) ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130460, [ =( domain( X ), domain( domain( X ) ) ) ] )
% 70.05/70.44 , clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.44 , 0, clause( 130459, [ =( multiplication( domain( domain( X ) ), domain( X
% 70.05/70.44 ) ), domain( domain( X ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, domain( X ) )] ), substitution( 1, [ :=(
% 70.05/70.44 X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130461, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.44 , clause( 130460, [ =( domain( X ), domain( domain( X ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 324, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.44 , clause( 130461, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130462, [ =( X, multiplication( domain( X ), X ) ) ] )
% 70.05/70.44 , clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130463, [ =( addition( X, Y ), multiplication( domain( addition( X
% 70.05/70.44 , Y ) ), addition( Y, X ) ) ) ] )
% 70.05/70.44 , clause( 57, [ =( multiplication( X, addition( Y, Z ) ), multiplication( X
% 70.05/70.44 , addition( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, clause( 130462, [ =( X, multiplication( domain( X ), X ) ) ] )
% 70.05/70.44 , 0, 4, substitution( 0, [ :=( X, domain( addition( X, Y ) ) ), :=( Y, X )
% 70.05/70.44 , :=( Z, Y )] ), substitution( 1, [ :=( X, addition( X, Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130466, [ =( multiplication( domain( addition( X, Y ) ), addition(
% 70.05/70.44 Y, X ) ), addition( X, Y ) ) ] )
% 70.05/70.44 , clause( 130463, [ =( addition( X, Y ), multiplication( domain( addition(
% 70.05/70.44 X, Y ) ), addition( Y, X ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 356, [ =( multiplication( domain( addition( X, Y ) ), addition( Y,
% 70.05/70.44 X ) ), addition( X, Y ) ) ] )
% 70.05/70.44 , clause( 130466, [ =( multiplication( domain( addition( X, Y ) ), addition(
% 70.05/70.44 Y, X ) ), addition( X, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130467, [ =( zero, multiplication( antidomain( X ), X ) ) ] )
% 70.05/70.44 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130468, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Y, X ) ) ) ] )
% 70.05/70.44 , clause( 57, [ =( multiplication( X, addition( Y, Z ) ), multiplication( X
% 70.05/70.44 , addition( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, clause( 130467, [ =( zero, multiplication( antidomain( X ), X ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, antidomain( addition( X, Y ) ) ), :=( Y,
% 70.05/70.44 X ), :=( Z, Y )] ), substitution( 1, [ :=( X, addition( X, Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130471, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Y, X ) ), zero ) ] )
% 70.05/70.44 , clause( 130468, [ =( zero, multiplication( antidomain( addition( X, Y ) )
% 70.05/70.44 , addition( Y, X ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 365, [ =( multiplication( antidomain( addition( X, Y ) ), addition(
% 70.05/70.44 Y, X ) ), zero ) ] )
% 70.05/70.44 , clause( 130471, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Y, X ) ), zero ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130473, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Y, X ) ) ) ] )
% 70.05/70.44 , clause( 365, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Y, X ) ), zero ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130475, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Y, addition( X, Y ) ) ) ) ] )
% 70.05/70.44 , clause( 36, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130473, [ =( zero, multiplication( antidomain( addition( X, Y
% 70.05/70.44 ) ), addition( Y, X ) ) ) ] )
% 70.05/70.44 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.44 :=( X, addition( X, Y ) ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130477, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 Y ) ) ] )
% 70.05/70.44 , clause( 59, [ =( multiplication( antidomain( X ), addition( Y, X ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , 0, clause( 130475, [ =( zero, multiplication( antidomain( addition( X, Y
% 70.05/70.44 ) ), addition( Y, addition( X, Y ) ) ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, addition( X, Y ) ), :=( Y, Y )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130478, [ =( multiplication( antidomain( addition( X, Y ) ), Y ),
% 70.05/70.44 zero ) ] )
% 70.05/70.44 , clause( 130477, [ =( zero, multiplication( antidomain( addition( X, Y ) )
% 70.05/70.44 , Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 381, [ =( multiplication( antidomain( addition( X, Y ) ), Y ), zero
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 130478, [ =( multiplication( antidomain( addition( X, Y ) ), Y )
% 70.05/70.44 , zero ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130480, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.44 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130483, [ =( multiplication( addition( antidomain( addition( X, Y )
% 70.05/70.44 ), Z ), Y ), addition( zero, multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , clause( 381, [ =( multiplication( antidomain( addition( X, Y ) ), Y ),
% 70.05/70.44 zero ) ] )
% 70.05/70.44 , 0, clause( 130480, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.44 :=( X, antidomain( addition( X, Y ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130485, [ =( multiplication( addition( antidomain( addition( X, Y )
% 70.05/70.44 ), Z ), Y ), multiplication( Z, Y ) ) ] )
% 70.05/70.44 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130483, [ =( multiplication( addition( antidomain( addition( X
% 70.05/70.44 , Y ) ), Z ), Y ), addition( zero, multiplication( Z, Y ) ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, multiplication( Z, Y ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 390, [ =( multiplication( addition( antidomain( addition( X, Y ) )
% 70.05/70.44 , Z ), Y ), multiplication( Z, Y ) ) ] )
% 70.05/70.44 , clause( 130485, [ =( multiplication( addition( antidomain( addition( X, Y
% 70.05/70.44 ) ), Z ), Y ), multiplication( Z, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130488, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130493, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Z, Y ) ), addition( multiplication( antidomain( addition( X, Y
% 70.05/70.44 ) ), Z ), zero ) ) ] )
% 70.05/70.44 , clause( 381, [ =( multiplication( antidomain( addition( X, Y ) ), Y ),
% 70.05/70.44 zero ) ] )
% 70.05/70.44 , 0, clause( 130488, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.44 :=( X, antidomain( addition( X, Y ) ) ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130494, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Z, Y ) ), multiplication( antidomain( addition( X, Y ) ), Z ) )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.44 , 0, clause( 130493, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Z, Y ) ), addition( multiplication( antidomain( addition( X, Y
% 70.05/70.44 ) ), Z ), zero ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, multiplication( antidomain( addition( X,
% 70.05/70.44 Y ) ), Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 394, [ =( multiplication( antidomain( addition( X, Y ) ), addition(
% 70.05/70.44 Z, Y ) ), multiplication( antidomain( addition( X, Y ) ), Z ) ) ] )
% 70.05/70.44 , clause( 130494, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Z, Y ) ), multiplication( antidomain( addition( X, Y ) ), Z ) )
% 70.05/70.44 ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130496, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 Y ) ) ] )
% 70.05/70.44 , clause( 381, [ =( multiplication( antidomain( addition( X, Y ) ), Y ),
% 70.05/70.44 zero ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130497, [ =( zero, multiplication( antidomain( addition( Y, X ) ),
% 70.05/70.44 Y ) ) ] )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130496, [ =( zero, multiplication( antidomain( addition( X, Y
% 70.05/70.44 ) ), Y ) ) ] )
% 70.05/70.44 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.44 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130500, [ =( multiplication( antidomain( addition( X, Y ) ), X ),
% 70.05/70.44 zero ) ] )
% 70.05/70.44 , clause( 130497, [ =( zero, multiplication( antidomain( addition( Y, X ) )
% 70.05/70.44 , Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 398, [ =( multiplication( antidomain( addition( Y, X ) ), Y ), zero
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 130500, [ =( multiplication( antidomain( addition( X, Y ) ), X )
% 70.05/70.44 , zero ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130502, [ =( multiplication( antidomain( X ), Y ), multiplication(
% 70.05/70.44 antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 58, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130504, [ =( multiplication( antidomain( addition( X, codomain( Y )
% 70.05/70.44 ) ), one ), multiplication( antidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.44 addition( X, one ) ) ) ] )
% 70.05/70.44 , clause( 162, [ =( addition( addition( Y, codomain( X ) ), one ), addition(
% 70.05/70.44 Y, one ) ) ] )
% 70.05/70.44 , 0, clause( 130502, [ =( multiplication( antidomain( X ), Y ),
% 70.05/70.44 multiplication( antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.44 :=( X, addition( X, codomain( Y ) ) ), :=( Y, one )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130505, [ =( antidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.44 multiplication( antidomain( addition( X, codomain( Y ) ) ), addition( X,
% 70.05/70.44 one ) ) ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130504, [ =( multiplication( antidomain( addition( X, codomain(
% 70.05/70.44 Y ) ) ), one ), multiplication( antidomain( addition( X, codomain( Y ) )
% 70.05/70.44 ), addition( X, one ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, antidomain( addition( X, codomain( Y ) )
% 70.05/70.44 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130506, [ =( multiplication( antidomain( addition( X, codomain( Y )
% 70.05/70.44 ) ), addition( X, one ) ), antidomain( addition( X, codomain( Y ) ) ) )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 130505, [ =( antidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.44 multiplication( antidomain( addition( X, codomain( Y ) ) ), addition( X,
% 70.05/70.44 one ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 404, [ =( multiplication( antidomain( addition( X, codomain( Y ) )
% 70.05/70.44 ), addition( X, one ) ), antidomain( addition( X, codomain( Y ) ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130506, [ =( multiplication( antidomain( addition( X, codomain( Y
% 70.05/70.44 ) ) ), addition( X, one ) ), antidomain( addition( X, codomain( Y ) ) )
% 70.05/70.44 ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130508, [ =( multiplication( antidomain( X ), Y ), multiplication(
% 70.05/70.44 antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 58, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130510, [ =( multiplication( antidomain( addition( X, codomain( Y )
% 70.05/70.44 ) ), coantidomain( Y ) ), multiplication( antidomain( addition( X,
% 70.05/70.44 codomain( Y ) ) ), addition( X, one ) ) ) ] )
% 70.05/70.44 , clause( 39, [ =( addition( addition( Y, codomain( X ) ), coantidomain( X
% 70.05/70.44 ) ), addition( Y, one ) ) ] )
% 70.05/70.44 , 0, clause( 130508, [ =( multiplication( antidomain( X ), Y ),
% 70.05/70.44 multiplication( antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.44 :=( X, addition( X, codomain( Y ) ) ), :=( Y, coantidomain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130511, [ =( multiplication( antidomain( addition( X, codomain( Y )
% 70.05/70.44 ) ), coantidomain( Y ) ), antidomain( addition( X, codomain( Y ) ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 404, [ =( multiplication( antidomain( addition( X, codomain( Y )
% 70.05/70.44 ) ), addition( X, one ) ), antidomain( addition( X, codomain( Y ) ) ) )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, clause( 130510, [ =( multiplication( antidomain( addition( X, codomain(
% 70.05/70.44 Y ) ) ), coantidomain( Y ) ), multiplication( antidomain( addition( X,
% 70.05/70.44 codomain( Y ) ) ), addition( X, one ) ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.44 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 406, [ =( multiplication( antidomain( addition( X, codomain( Y ) )
% 70.05/70.44 ), coantidomain( Y ) ), antidomain( addition( X, codomain( Y ) ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130511, [ =( multiplication( antidomain( addition( X, codomain( Y
% 70.05/70.44 ) ) ), coantidomain( Y ) ), antidomain( addition( X, codomain( Y ) ) ) )
% 70.05/70.44 ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130513, [ =( multiplication( antidomain( X ), Y ), multiplication(
% 70.05/70.44 antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 58, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130515, [ =( multiplication( antidomain( addition( X, Y ) ), Z ),
% 70.05/70.44 multiplication( antidomain( addition( X, Y ) ), addition( addition( X, Z
% 70.05/70.44 ), Y ) ) ) ] )
% 70.05/70.44 , clause( 34, [ =( addition( addition( Z, Y ), X ), addition( addition( Z,
% 70.05/70.44 X ), Y ) ) ] )
% 70.05/70.44 , 0, clause( 130513, [ =( multiplication( antidomain( X ), Y ),
% 70.05/70.44 multiplication( antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 70.05/70.44 substitution( 1, [ :=( X, addition( X, Y ) ), :=( Y, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130517, [ =( multiplication( antidomain( addition( X, Y ) ), Z ),
% 70.05/70.44 multiplication( antidomain( addition( X, Y ) ), addition( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 394, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( Z, Y ) ), multiplication( antidomain( addition( X, Y ) ), Z ) )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, clause( 130515, [ =( multiplication( antidomain( addition( X, Y ) ), Z
% 70.05/70.44 ), multiplication( antidomain( addition( X, Y ) ), addition( addition( X
% 70.05/70.44 , Z ), Y ) ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, addition( X, Z )
% 70.05/70.44 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130518, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( X, Z ) ), multiplication( antidomain( addition( X, Y ) ), Z ) )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 130517, [ =( multiplication( antidomain( addition( X, Y ) ), Z )
% 70.05/70.44 , multiplication( antidomain( addition( X, Y ) ), addition( X, Z ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 407, [ =( multiplication( antidomain( addition( X, Y ) ), addition(
% 70.05/70.44 X, Z ) ), multiplication( antidomain( addition( X, Y ) ), Z ) ) ] )
% 70.05/70.44 , clause( 130518, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.44 addition( X, Z ) ), multiplication( antidomain( addition( X, Y ) ), Z ) )
% 70.05/70.44 ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130520, [ =( multiplication( antidomain( X ), Y ), multiplication(
% 70.05/70.44 antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 58, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130523, [ =( multiplication( antidomain( domain( X ) ), antidomain(
% 70.05/70.44 X ) ), multiplication( antidomain( domain( X ) ), one ) ) ] )
% 70.05/70.44 , clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130520, [ =( multiplication( antidomain( X ), Y ),
% 70.05/70.44 multiplication( antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.44 X ) ), :=( Y, antidomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130524, [ =( multiplication( antidomain( domain( X ) ), antidomain(
% 70.05/70.44 X ) ), antidomain( domain( X ) ) ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130523, [ =( multiplication( antidomain( domain( X ) ),
% 70.05/70.44 antidomain( X ) ), multiplication( antidomain( domain( X ) ), one ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, antidomain( domain( X ) ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130525, [ =( antidomain( X ), antidomain( domain( X ) ) ) ] )
% 70.05/70.44 , clause( 322, [ =( multiplication( antidomain( domain( X ) ), antidomain(
% 70.05/70.44 X ) ), antidomain( X ) ) ] )
% 70.05/70.44 , 0, clause( 130524, [ =( multiplication( antidomain( domain( X ) ),
% 70.05/70.44 antidomain( X ) ), antidomain( domain( X ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130526, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.44 , clause( 130525, [ =( antidomain( X ), antidomain( domain( X ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 409, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.44 , clause( 130526, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130528, [ =( multiplication( antidomain( X ), Y ), multiplication(
% 70.05/70.44 antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 58, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130530, [ =( multiplication( antidomain( coantidomain( X ) ),
% 70.05/70.44 codomain( X ) ), multiplication( antidomain( coantidomain( X ) ), one ) )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 40, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130528, [ =( multiplication( antidomain( X ), Y ),
% 70.05/70.44 multiplication( antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.44 coantidomain( X ) ), :=( Y, codomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130531, [ =( multiplication( antidomain( coantidomain( X ) ),
% 70.05/70.44 codomain( X ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130530, [ =( multiplication( antidomain( coantidomain( X ) ),
% 70.05/70.44 codomain( X ) ), multiplication( antidomain( coantidomain( X ) ), one ) )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, antidomain( coantidomain( X ) ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 413, [ =( multiplication( antidomain( coantidomain( X ) ), codomain(
% 70.05/70.44 X ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.44 , clause( 130531, [ =( multiplication( antidomain( coantidomain( X ) ),
% 70.05/70.44 codomain( X ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130534, [ =( multiplication( antidomain( X ), Y ), multiplication(
% 70.05/70.44 antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 58, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130536, [ =( multiplication( antidomain( domain( X ) ), Y ),
% 70.05/70.44 multiplication( antidomain( X ), addition( domain( X ), Y ) ) ) ] )
% 70.05/70.44 , clause( 409, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.44 , 0, clause( 130534, [ =( multiplication( antidomain( X ), Y ),
% 70.05/70.44 multiplication( antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.44 X ) ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130537, [ =( multiplication( antidomain( X ), Y ), multiplication(
% 70.05/70.44 antidomain( X ), addition( domain( X ), Y ) ) ) ] )
% 70.05/70.44 , clause( 409, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.44 , 0, clause( 130536, [ =( multiplication( antidomain( domain( X ) ), Y ),
% 70.05/70.44 multiplication( antidomain( X ), addition( domain( X ), Y ) ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130539, [ =( multiplication( antidomain( X ), addition( domain( X )
% 70.05/70.44 , Y ) ), multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , clause( 130537, [ =( multiplication( antidomain( X ), Y ), multiplication(
% 70.05/70.44 antidomain( X ), addition( domain( X ), Y ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 417, [ =( multiplication( antidomain( X ), addition( domain( X ), Y
% 70.05/70.44 ) ), multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , clause( 130539, [ =( multiplication( antidomain( X ), addition( domain( X
% 70.05/70.44 ), Y ) ), multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130542, [ =( multiplication( X, Y ), multiplication( X, addition(
% 70.05/70.44 coantidomain( X ), Y ) ) ) ] )
% 70.05/70.44 , clause( 60, [ =( multiplication( X, addition( coantidomain( X ), Y ) ),
% 70.05/70.44 multiplication( X, Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130544, [ =( multiplication( X, codomain( X ) ), multiplication( X
% 70.05/70.44 , one ) ) ] )
% 70.05/70.44 , clause( 40, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130542, [ =( multiplication( X, Y ), multiplication( X,
% 70.05/70.44 addition( coantidomain( X ), Y ) ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, codomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130545, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130544, [ =( multiplication( X, codomain( X ) ),
% 70.05/70.44 multiplication( X, one ) ) ] )
% 70.05/70.44 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 438, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 70.05/70.44 , clause( 130545, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130548, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.44 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130550, [ =( multiplication( X, addition( Y, codomain( X ) ) ),
% 70.05/70.44 addition( multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , clause( 438, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 70.05/70.44 , 0, clause( 130548, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.44 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.44 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y ), :=( Z, codomain( X ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 447, [ =( multiplication( X, addition( Y, codomain( X ) ) ),
% 70.05/70.44 addition( multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , clause( 130550, [ =( multiplication( X, addition( Y, codomain( X ) ) ),
% 70.05/70.44 addition( multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130554, [ =( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.44 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 70.05/70.44 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.44 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130557, [ =( multiplication( multiplication( X, Y ), codomain( Y )
% 70.05/70.44 ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , clause( 438, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 70.05/70.44 , 0, clause( 130554, [ =( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.44 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 70.05/70.44 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y ), :=( Z, codomain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 448, [ =( multiplication( multiplication( Y, X ), codomain( X ) ),
% 70.05/70.44 multiplication( Y, X ) ) ] )
% 70.05/70.44 , clause( 130557, [ =( multiplication( multiplication( X, Y ), codomain( Y
% 70.05/70.44 ) ), multiplication( X, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130562, [ =( multiplication( X, addition( one, Y ) ), addition( X,
% 70.05/70.44 multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 62, [ =( addition( X, multiplication( X, Y ) ), multiplication( X
% 70.05/70.44 , addition( one, Y ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130564, [ =( multiplication( X, one ), addition( X, multiplication(
% 70.05/70.44 X, coantidomain( Y ) ) ) ) ] )
% 70.05/70.44 , clause( 138, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130562, [ =( multiplication( X, addition( one, Y ) ), addition(
% 70.05/70.44 X, multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, coantidomain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130565, [ =( X, addition( X, multiplication( X, coantidomain( Y ) )
% 70.05/70.44 ) ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130564, [ =( multiplication( X, one ), addition( X,
% 70.05/70.44 multiplication( X, coantidomain( Y ) ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130566, [ =( addition( X, multiplication( X, coantidomain( Y ) ) )
% 70.05/70.44 , X ) ] )
% 70.05/70.44 , clause( 130565, [ =( X, addition( X, multiplication( X, coantidomain( Y )
% 70.05/70.44 ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 522, [ =( addition( Y, multiplication( Y, coantidomain( X ) ) ), Y
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 130566, [ =( addition( X, multiplication( X, coantidomain( Y ) )
% 70.05/70.44 ), X ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130568, [ =( multiplication( X, addition( one, Y ) ), addition( X,
% 70.05/70.44 multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 62, [ =( addition( X, multiplication( X, Y ) ), multiplication( X
% 70.05/70.44 , addition( one, Y ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130570, [ =( multiplication( X, one ), addition( X, multiplication(
% 70.05/70.44 X, codomain( Y ) ) ) ) ] )
% 70.05/70.44 , clause( 136, [ =( addition( one, codomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130568, [ =( multiplication( X, addition( one, Y ) ), addition(
% 70.05/70.44 X, multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, codomain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130571, [ =( X, addition( X, multiplication( X, codomain( Y ) ) ) )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130570, [ =( multiplication( X, one ), addition( X,
% 70.05/70.44 multiplication( X, codomain( Y ) ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130572, [ =( addition( X, multiplication( X, codomain( Y ) ) ), X )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 130571, [ =( X, addition( X, multiplication( X, codomain( Y ) ) )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 523, [ =( addition( Y, multiplication( Y, codomain( X ) ) ), Y ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130572, [ =( addition( X, multiplication( X, codomain( Y ) ) ), X
% 70.05/70.44 ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130574, [ =( multiplication( X, addition( one, Y ) ), addition( X,
% 70.05/70.44 multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 62, [ =( addition( X, multiplication( X, Y ) ), multiplication( X
% 70.05/70.44 , addition( one, Y ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130576, [ =( multiplication( X, one ), addition( X, multiplication(
% 70.05/70.44 X, antidomain( Y ) ) ) ) ] )
% 70.05/70.44 , clause( 135, [ =( addition( one, antidomain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130574, [ =( multiplication( X, addition( one, Y ) ), addition(
% 70.05/70.44 X, multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, antidomain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130577, [ =( X, addition( X, multiplication( X, antidomain( Y ) ) )
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130576, [ =( multiplication( X, one ), addition( X,
% 70.05/70.44 multiplication( X, antidomain( Y ) ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130578, [ =( addition( X, multiplication( X, antidomain( Y ) ) ), X
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 130577, [ =( X, addition( X, multiplication( X, antidomain( Y ) )
% 70.05/70.44 ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 524, [ =( addition( Y, multiplication( Y, antidomain( X ) ) ), Y )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 130578, [ =( addition( X, multiplication( X, antidomain( Y ) ) )
% 70.05/70.44 , X ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130580, [ =( multiplication( X, addition( one, Y ) ), addition( X,
% 70.05/70.44 multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 62, [ =( addition( X, multiplication( X, Y ) ), multiplication( X
% 70.05/70.44 , addition( one, Y ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130582, [ =( multiplication( X, one ), addition( X, multiplication(
% 70.05/70.44 X, domain( Y ) ) ) ) ] )
% 70.05/70.44 , clause( 131, [ =( addition( one, domain( X ) ), one ) ] )
% 70.05/70.44 , 0, clause( 130580, [ =( multiplication( X, addition( one, Y ) ), addition(
% 70.05/70.44 X, multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, domain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130583, [ =( X, addition( X, multiplication( X, domain( Y ) ) ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130582, [ =( multiplication( X, one ), addition( X,
% 70.05/70.44 multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130584, [ =( addition( X, multiplication( X, domain( Y ) ) ), X ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130583, [ =( X, addition( X, multiplication( X, domain( Y ) ) ) )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 525, [ =( addition( Y, multiplication( Y, domain( X ) ) ), Y ) ] )
% 70.05/70.44 , clause( 130584, [ =( addition( X, multiplication( X, domain( Y ) ) ), X )
% 70.05/70.44 ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130585, [ =( multiplication( X, addition( one, Y ) ), addition( X,
% 70.05/70.44 multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 62, [ =( addition( X, multiplication( X, Y ) ), multiplication( X
% 70.05/70.44 , addition( one, Y ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130587, [ =( multiplication( X, addition( one, Y ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130585, [ =( multiplication( X, addition( one, Y ) ), addition(
% 70.05/70.44 X, multiplication( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiplication( X, Y ) )] ),
% 70.05/70.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 528, [ =( multiplication( X, addition( one, Y ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , clause( 130587, [ =( multiplication( X, addition( one, Y ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130595, [ =( addition( Y, X ), addition( addition( X, Y ), X ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 140, [ =( addition( addition( Y, X ), Y ), addition( X, Y ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130598, [ =( addition( multiplication( X, coantidomain( Y ) ), X )
% 70.05/70.44 , addition( X, X ) ) ] )
% 70.05/70.44 , clause( 522, [ =( addition( Y, multiplication( Y, coantidomain( X ) ) ),
% 70.05/70.44 Y ) ] )
% 70.05/70.44 , 0, clause( 130595, [ =( addition( Y, X ), addition( addition( X, Y ), X )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.44 :=( X, X ), :=( Y, multiplication( X, coantidomain( Y ) ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130599, [ =( addition( multiplication( X, coantidomain( Y ) ), X )
% 70.05/70.44 , X ) ] )
% 70.05/70.44 , clause( 5, [ =( addition( X, X ), X ) ] )
% 70.05/70.44 , 0, clause( 130598, [ =( addition( multiplication( X, coantidomain( Y ) )
% 70.05/70.44 , X ), addition( X, X ) ) ] )
% 70.05/70.44 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 538, [ =( addition( multiplication( X, coantidomain( Y ) ), X ), X
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 130599, [ =( addition( multiplication( X, coantidomain( Y ) ), X
% 70.05/70.44 ), X ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130602, [ =( addition( addition( Y, Z ), X ), addition( addition( X
% 70.05/70.44 , Y ), Z ) ) ] )
% 70.05/70.44 , clause( 33, [ =( addition( addition( X, Y ), Z ), addition( addition( Y,
% 70.05/70.44 Z ), X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130616, [ =( addition( X, Z ), addition( addition( Z, X ),
% 70.05/70.44 multiplication( X, coantidomain( Y ) ) ) ) ] )
% 70.05/70.44 , clause( 522, [ =( addition( Y, multiplication( Y, coantidomain( X ) ) ),
% 70.05/70.44 Y ) ] )
% 70.05/70.44 , 0, clause( 130602, [ =( addition( addition( Y, Z ), X ), addition(
% 70.05/70.44 addition( X, Y ), Z ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.44 :=( X, Z ), :=( Y, X ), :=( Z, multiplication( X, coantidomain( Y ) ) )] )
% 70.05/70.44 ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130620, [ =( addition( addition( Y, X ), multiplication( X,
% 70.05/70.44 coantidomain( Z ) ) ), addition( X, Y ) ) ] )
% 70.05/70.44 , clause( 130616, [ =( addition( X, Z ), addition( addition( Z, X ),
% 70.05/70.44 multiplication( X, coantidomain( Y ) ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 544, [ =( addition( addition( Z, X ), multiplication( X,
% 70.05/70.44 coantidomain( Y ) ) ), addition( X, Z ) ) ] )
% 70.05/70.44 , clause( 130620, [ =( addition( addition( Y, X ), multiplication( X,
% 70.05/70.44 coantidomain( Z ) ) ), addition( X, Y ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130624, [ =( X, addition( multiplication( X, coantidomain( Y ) ), X
% 70.05/70.44 ) ) ] )
% 70.05/70.44 , clause( 538, [ =( addition( multiplication( X, coantidomain( Y ) ), X ),
% 70.05/70.44 X ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130625, [ =( X, addition( multiplication( X, codomain( Y ) ), X ) )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.44 , 0, clause( 130624, [ =( X, addition( multiplication( X, coantidomain( Y )
% 70.05/70.44 ), X ) ) ] )
% 70.05/70.44 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, coantidomain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130626, [ =( addition( multiplication( X, codomain( Y ) ), X ), X )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 130625, [ =( X, addition( multiplication( X, codomain( Y ) ), X )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 554, [ =( addition( multiplication( Y, codomain( X ) ), Y ), Y ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130626, [ =( addition( multiplication( X, codomain( Y ) ), X ), X
% 70.05/70.44 ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130628, [ =( multiplication( X, addition( Y, one ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , clause( 63, [ =( addition( multiplication( X, Y ), X ), multiplication( X
% 70.05/70.44 , addition( Y, one ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130630, [ =( multiplication( X, one ), addition( multiplication( X
% 70.05/70.44 , antidomain( Y ) ), X ) ) ] )
% 70.05/70.44 , clause( 153, [ =( addition( antidomain( X ), one ), one ) ] )
% 70.05/70.44 , 0, clause( 130628, [ =( multiplication( X, addition( Y, one ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, antidomain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130631, [ =( X, addition( multiplication( X, antidomain( Y ) ), X )
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130630, [ =( multiplication( X, one ), addition(
% 70.05/70.44 multiplication( X, antidomain( Y ) ), X ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130632, [ =( addition( multiplication( X, antidomain( Y ) ), X ), X
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 130631, [ =( X, addition( multiplication( X, antidomain( Y ) ), X
% 70.05/70.44 ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 589, [ =( addition( multiplication( Y, antidomain( X ) ), Y ), Y )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 130632, [ =( addition( multiplication( X, antidomain( Y ) ), X )
% 70.05/70.44 , X ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130634, [ =( multiplication( X, addition( Y, one ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , clause( 63, [ =( addition( multiplication( X, Y ), X ), multiplication( X
% 70.05/70.44 , addition( Y, one ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130636, [ =( multiplication( X, one ), addition( multiplication( X
% 70.05/70.44 , domain( Y ) ), X ) ) ] )
% 70.05/70.44 , clause( 144, [ =( addition( domain( X ), one ), one ) ] )
% 70.05/70.44 , 0, clause( 130634, [ =( multiplication( X, addition( Y, one ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, domain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130637, [ =( X, addition( multiplication( X, domain( Y ) ), X ) ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.44 , 0, clause( 130636, [ =( multiplication( X, one ), addition(
% 70.05/70.44 multiplication( X, domain( Y ) ), X ) ) ] )
% 70.05/70.44 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.44 :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130638, [ =( addition( multiplication( X, domain( Y ) ), X ), X ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130637, [ =( X, addition( multiplication( X, domain( Y ) ), X ) )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 590, [ =( addition( multiplication( Y, domain( X ) ), Y ), Y ) ] )
% 70.05/70.44 , clause( 130638, [ =( addition( multiplication( X, domain( Y ) ), X ), X )
% 70.05/70.44 ] )
% 70.05/70.44 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130639, [ =( multiplication( X, addition( Y, one ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , clause( 63, [ =( addition( multiplication( X, Y ), X ), multiplication( X
% 70.05/70.44 , addition( Y, one ) ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130641, [ =( multiplication( X, addition( Y, one ) ), addition(
% 70.05/70.44 multiplication( X, addition( Y, one ) ), X ) ) ] )
% 70.05/70.44 , clause( 36, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 70.05/70.44 , 0, clause( 130639, [ =( multiplication( X, addition( Y, one ) ), addition(
% 70.05/70.44 multiplication( X, Y ), X ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, one ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.44 :=( X, X ), :=( Y, addition( Y, one ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130642, [ =( addition( multiplication( X, addition( Y, one ) ), X )
% 70.05/70.44 , multiplication( X, addition( Y, one ) ) ) ] )
% 70.05/70.44 , clause( 130641, [ =( multiplication( X, addition( Y, one ) ), addition(
% 70.05/70.44 multiplication( X, addition( Y, one ) ), X ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 591, [ =( addition( multiplication( X, addition( Y, one ) ), X ),
% 70.05/70.44 multiplication( X, addition( Y, one ) ) ) ] )
% 70.05/70.44 , clause( 130642, [ =( addition( multiplication( X, addition( Y, one ) ), X
% 70.05/70.44 ), multiplication( X, addition( Y, one ) ) ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130644, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ), true )
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130645, [ =( true, ifeq2( multiplication( X, addition( Y, one ) ),
% 70.05/70.44 X, leq( multiplication( X, Y ), X ), true ) ) ] )
% 70.05/70.44 , clause( 63, [ =( addition( multiplication( X, Y ), X ), multiplication( X
% 70.05/70.44 , addition( Y, one ) ) ) ] )
% 70.05/70.44 , 0, clause( 130644, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ),
% 70.05/70.44 true ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.44 :=( X, multiplication( X, Y ) ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130646, [ =( ifeq2( multiplication( X, addition( Y, one ) ), X, leq(
% 70.05/70.44 multiplication( X, Y ), X ), true ), true ) ] )
% 70.05/70.44 , clause( 130645, [ =( true, ifeq2( multiplication( X, addition( Y, one ) )
% 70.05/70.44 , X, leq( multiplication( X, Y ), X ), true ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 592, [ =( ifeq2( multiplication( X, addition( Y, one ) ), X, leq(
% 70.05/70.44 multiplication( X, Y ), X ), true ), true ) ] )
% 70.05/70.44 , clause( 130646, [ =( ifeq2( multiplication( X, addition( Y, one ) ), X,
% 70.05/70.44 leq( multiplication( X, Y ), X ), true ), true ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130648, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ), true )
% 70.05/70.44 ) ] )
% 70.05/70.44 , clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true )
% 70.05/70.44 ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130650, [ =( true, ifeq2( X, X, leq( multiplication( X, antidomain(
% 70.05/70.44 Y ) ), X ), true ) ) ] )
% 70.05/70.44 , clause( 589, [ =( addition( multiplication( Y, antidomain( X ) ), Y ), Y
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, clause( 130648, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ),
% 70.05/70.44 true ) ) ] )
% 70.05/70.44 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.44 :=( X, multiplication( X, antidomain( Y ) ) ), :=( Y, X )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130651, [ =( true, leq( multiplication( X, antidomain( Y ) ), X ) )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.44 , 0, clause( 130650, [ =( true, ifeq2( X, X, leq( multiplication( X,
% 70.05/70.44 antidomain( Y ) ), X ), true ) ) ] )
% 70.05/70.44 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, leq( multiplication( X,
% 70.05/70.44 antidomain( Y ) ), X ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )
% 70.05/70.44 , :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130652, [ =( leq( multiplication( X, antidomain( Y ) ), X ), true )
% 70.05/70.44 ] )
% 70.05/70.44 , clause( 130651, [ =( true, leq( multiplication( X, antidomain( Y ) ), X )
% 70.05/70.44 ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 subsumption(
% 70.05/70.44 clause( 604, [ =( leq( multiplication( X, antidomain( Y ) ), X ), true ) ]
% 70.05/70.44 )
% 70.05/70.44 , clause( 130652, [ =( leq( multiplication( X, antidomain( Y ) ), X ), true
% 70.05/70.44 ) ] )
% 70.05/70.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.44 )] ) ).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 eqswap(
% 70.05/70.44 clause( 130654, [ =( multiplication( antidomain( X ), Y ), multiplication(
% 70.05/70.44 antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , clause( 58, [ =( multiplication( antidomain( X ), addition( X, Y ) ),
% 70.05/70.44 multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130657, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.44 Y ) ) ), codomain( Y ) ), multiplication( antidomain( addition( X,
% 70.05/70.44 coantidomain( Y ) ) ), addition( X, one ) ) ) ] )
% 70.05/70.44 , clause( 65, [ =( addition( addition( Y, coantidomain( X ) ), codomain( X
% 70.05/70.44 ) ), addition( Y, one ) ) ] )
% 70.05/70.44 , 0, clause( 130654, [ =( multiplication( antidomain( X ), Y ),
% 70.05/70.44 multiplication( antidomain( X ), addition( X, Y ) ) ) ] )
% 70.05/70.44 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.44 :=( X, addition( X, coantidomain( Y ) ) ), :=( Y, codomain( Y ) )] )).
% 70.05/70.44
% 70.05/70.44
% 70.05/70.44 paramod(
% 70.05/70.44 clause( 130658, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.44 Y ) ) ), codomain( Y ) ), multiplication( antidomain( addition( X,
% 70.05/70.45 coantidomain( Y ) ) ), one ) ) ] )
% 70.05/70.45 , clause( 407, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.45 addition( X, Z ) ), multiplication( antidomain( addition( X, Y ) ), Z ) )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, clause( 130657, [ =( multiplication( antidomain( addition( X,
% 70.05/70.45 coantidomain( Y ) ) ), codomain( Y ) ), multiplication( antidomain(
% 70.05/70.45 addition( X, coantidomain( Y ) ) ), addition( X, one ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, coantidomain( Y ) ), :=( Z,
% 70.05/70.45 one )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130659, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.45 Y ) ) ), codomain( Y ) ), antidomain( addition( X, coantidomain( Y ) ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.45 , 0, clause( 130658, [ =( multiplication( antidomain( addition( X,
% 70.05/70.45 coantidomain( Y ) ) ), codomain( Y ) ), multiplication( antidomain(
% 70.05/70.45 addition( X, coantidomain( Y ) ) ), one ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, antidomain( addition( X, coantidomain( Y
% 70.05/70.45 ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 618, [ =( multiplication( antidomain( addition( X, coantidomain( Y
% 70.05/70.45 ) ) ), codomain( Y ) ), antidomain( addition( X, coantidomain( Y ) ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 130659, [ =( multiplication( antidomain( addition( X,
% 70.05/70.45 coantidomain( Y ) ) ), codomain( Y ) ), antidomain( addition( X,
% 70.05/70.45 coantidomain( Y ) ) ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130662, [ =( addition( addition( Y, Z ), X ), addition( addition( X
% 70.05/70.45 , Y ), Z ) ) ] )
% 70.05/70.45 , clause( 33, [ =( addition( addition( X, Y ), Z ), addition( addition( Y,
% 70.05/70.45 Z ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130663, [ =( addition( X, Z ), addition( addition( Z,
% 70.05/70.45 multiplication( X, codomain( Y ) ) ), X ) ) ] )
% 70.05/70.45 , clause( 554, [ =( addition( multiplication( Y, codomain( X ) ), Y ), Y )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, clause( 130662, [ =( addition( addition( Y, Z ), X ), addition(
% 70.05/70.45 addition( X, Y ), Z ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, Z ), :=( Y, multiplication( X, codomain( Y ) ) ), :=( Z, X )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130665, [ =( addition( addition( Y, multiplication( X, codomain( Z
% 70.05/70.45 ) ) ), X ), addition( X, Y ) ) ] )
% 70.05/70.45 , clause( 130663, [ =( addition( X, Z ), addition( addition( Z,
% 70.05/70.45 multiplication( X, codomain( Y ) ) ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 628, [ =( addition( addition( Z, multiplication( X, codomain( Y ) )
% 70.05/70.45 ), X ), addition( X, Z ) ) ] )
% 70.05/70.45 , clause( 130665, [ =( addition( addition( Y, multiplication( X, codomain(
% 70.05/70.45 Z ) ) ), X ), addition( X, Y ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130668, [ =( X, addition( X, multiplication( X, codomain( Y ) ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 523, [ =( addition( Y, multiplication( Y, codomain( X ) ) ), Y )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130669, [ =( domain( codomain( X ) ), addition( domain( codomain( X
% 70.05/70.45 ) ), codomain( X ) ) ) ] )
% 70.05/70.45 , clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.45 , 0, clause( 130668, [ =( X, addition( X, multiplication( X, codomain( Y )
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , 0, 8, substitution( 0, [ :=( X, codomain( X ) )] ), substitution( 1, [
% 70.05/70.45 :=( X, domain( codomain( X ) ) ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130670, [ =( addition( domain( codomain( X ) ), codomain( X ) ),
% 70.05/70.45 domain( codomain( X ) ) ) ] )
% 70.05/70.45 , clause( 130669, [ =( domain( codomain( X ) ), addition( domain( codomain(
% 70.05/70.45 X ) ), codomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 631, [ =( addition( domain( codomain( X ) ), codomain( X ) ),
% 70.05/70.45 domain( codomain( X ) ) ) ] )
% 70.05/70.45 , clause( 130670, [ =( addition( domain( codomain( X ) ), codomain( X ) ),
% 70.05/70.45 domain( codomain( X ) ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130672, [ =( multiplication( Y, codomain( X ) ), multiplication(
% 70.05/70.45 addition( coantidomain( X ), Y ), codomain( X ) ) ) ] )
% 70.05/70.45 , clause( 77, [ =( multiplication( addition( coantidomain( X ), Y ),
% 70.05/70.45 codomain( X ) ), multiplication( Y, codomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130675, [ =( multiplication( codomain( X ), codomain( codomain( X )
% 70.05/70.45 ) ), multiplication( one, codomain( codomain( X ) ) ) ) ] )
% 70.05/70.45 , clause( 38, [ =( addition( coantidomain( codomain( X ) ), codomain( X ) )
% 70.05/70.45 , one ) ] )
% 70.05/70.45 , 0, clause( 130672, [ =( multiplication( Y, codomain( X ) ),
% 70.05/70.45 multiplication( addition( coantidomain( X ), Y ), codomain( X ) ) ) ] )
% 70.05/70.45 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 codomain( X ) ), :=( Y, codomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130676, [ =( multiplication( codomain( X ), codomain( codomain( X )
% 70.05/70.45 ) ), codomain( codomain( X ) ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130675, [ =( multiplication( codomain( X ), codomain( codomain(
% 70.05/70.45 X ) ) ), multiplication( one, codomain( codomain( X ) ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, codomain( codomain( X ) ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130677, [ =( codomain( X ), codomain( codomain( X ) ) ) ] )
% 70.05/70.45 , clause( 438, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 70.05/70.45 , 0, clause( 130676, [ =( multiplication( codomain( X ), codomain( codomain(
% 70.05/70.45 X ) ) ), codomain( codomain( X ) ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, codomain( X ) )] ), substitution( 1, [
% 70.05/70.45 :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130678, [ =( codomain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.45 , clause( 130677, [ =( codomain( X ), codomain( codomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 849, [ =( codomain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.45 , clause( 130678, [ =( codomain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130679, [ =( X, multiplication( X, codomain( X ) ) ) ] )
% 70.05/70.45 , clause( 438, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130680, [ =( addition( X, Y ), multiplication( addition( Y, X ),
% 70.05/70.45 codomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.45 , clause( 82, [ =( multiplication( addition( X, Z ), Y ), multiplication(
% 70.05/70.45 addition( Z, X ), Y ) ) ] )
% 70.05/70.45 , 0, clause( 130679, [ =( X, multiplication( X, codomain( X ) ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, codomain( addition( X, Y ) )
% 70.05/70.45 ), :=( Z, Y )] ), substitution( 1, [ :=( X, addition( X, Y ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130683, [ =( multiplication( addition( Y, X ), codomain( addition(
% 70.05/70.45 X, Y ) ) ), addition( X, Y ) ) ] )
% 70.05/70.45 , clause( 130680, [ =( addition( X, Y ), multiplication( addition( Y, X ),
% 70.05/70.45 codomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 923, [ =( multiplication( addition( Y, X ), codomain( addition( X,
% 70.05/70.45 Y ) ) ), addition( X, Y ) ) ] )
% 70.05/70.45 , clause( 130683, [ =( multiplication( addition( Y, X ), codomain( addition(
% 70.05/70.45 X, Y ) ) ), addition( X, Y ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130684, [ =( zero, multiplication( X, coantidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130685, [ =( zero, multiplication( addition( Y, X ), coantidomain(
% 70.05/70.45 addition( X, Y ) ) ) ) ] )
% 70.05/70.45 , clause( 82, [ =( multiplication( addition( X, Z ), Y ), multiplication(
% 70.05/70.45 addition( Z, X ), Y ) ) ] )
% 70.05/70.45 , 0, clause( 130684, [ =( zero, multiplication( X, coantidomain( X ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, coantidomain( addition( X, Y
% 70.05/70.45 ) ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, addition( X, Y ) )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130688, [ =( multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( Y, X ) ) ), zero ) ] )
% 70.05/70.45 , clause( 130685, [ =( zero, multiplication( addition( Y, X ), coantidomain(
% 70.05/70.45 addition( X, Y ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 929, [ =( multiplication( addition( Y, X ), coantidomain( addition(
% 70.05/70.45 X, Y ) ) ), zero ) ] )
% 70.05/70.45 , clause( 130688, [ =( multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( Y, X ) ) ), zero ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130690, [ =( zero, multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( Y, X ) ) ) ) ] )
% 70.05/70.45 , clause( 929, [ =( multiplication( addition( Y, X ), coantidomain(
% 70.05/70.45 addition( X, Y ) ) ), zero ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130693, [ =( zero, multiplication( addition( X, addition( Y, X ) )
% 70.05/70.45 , coantidomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.45 , clause( 36, [ =( addition( addition( Y, X ), X ), addition( Y, X ) ) ] )
% 70.05/70.45 , 0, clause( 130690, [ =( zero, multiplication( addition( X, Y ),
% 70.05/70.45 coantidomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, addition( Y, X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130694, [ =( zero, multiplication( X, coantidomain( addition( Y, X
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , clause( 86, [ =( multiplication( addition( Y, X ), coantidomain( X ) ),
% 70.05/70.45 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, clause( 130693, [ =( zero, multiplication( addition( X, addition( Y, X
% 70.05/70.45 ) ), coantidomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, addition( Y, X ) ), :=( Y, X )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130695, [ =( multiplication( X, coantidomain( addition( Y, X ) ) )
% 70.05/70.45 , zero ) ] )
% 70.05/70.45 , clause( 130694, [ =( zero, multiplication( X, coantidomain( addition( Y,
% 70.05/70.45 X ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1002, [ =( multiplication( Y, coantidomain( addition( X, Y ) ) ),
% 70.05/70.45 zero ) ] )
% 70.05/70.45 , clause( 130695, [ =( multiplication( X, coantidomain( addition( Y, X ) )
% 70.05/70.45 ), zero ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130698, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.45 , clause( 409, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.45 , 0, clause( 28, [ =( domain( antidomain( X ) ), antidomain( domain( X ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1005, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.45 , clause( 130698, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130702, [ =( domain( one ), one ) ] )
% 70.05/70.45 , clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.45 , 0, clause( 31, [ =( domain( one ), antidomain( zero ) ) ] )
% 70.05/70.45 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1006, [ =( domain( one ), one ) ] )
% 70.05/70.45 , clause( 130702, [ =( domain( one ), one ) ] )
% 70.05/70.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130706, [ =( codomain( one ), one ) ] )
% 70.05/70.45 , clause( 41, [ =( coantidomain( zero ), one ) ] )
% 70.05/70.45 , 0, clause( 27, [ =( codomain( one ), coantidomain( zero ) ) ] )
% 70.05/70.45 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1007, [ =( codomain( one ), one ) ] )
% 70.05/70.45 , clause( 130706, [ =( codomain( one ), one ) ] )
% 70.05/70.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130709, [ =( multiplication( Y, coantidomain( X ) ), multiplication(
% 70.05/70.45 addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 85, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 70.05/70.45 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130711, [ =( multiplication( one, coantidomain( addition( X,
% 70.05/70.45 codomain( Y ) ) ) ), multiplication( addition( X, one ), coantidomain(
% 70.05/70.45 addition( X, codomain( Y ) ) ) ) ) ] )
% 70.05/70.45 , clause( 162, [ =( addition( addition( Y, codomain( X ) ), one ), addition(
% 70.05/70.45 Y, one ) ) ] )
% 70.05/70.45 , 0, clause( 130709, [ =( multiplication( Y, coantidomain( X ) ),
% 70.05/70.45 multiplication( addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, addition( X, codomain( Y ) ) ), :=( Y, one )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130712, [ =( coantidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.45 multiplication( addition( X, one ), coantidomain( addition( X, codomain(
% 70.05/70.45 Y ) ) ) ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130711, [ =( multiplication( one, coantidomain( addition( X,
% 70.05/70.45 codomain( Y ) ) ) ), multiplication( addition( X, one ), coantidomain(
% 70.05/70.45 addition( X, codomain( Y ) ) ) ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, coantidomain( addition( X, codomain( Y )
% 70.05/70.45 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130713, [ =( multiplication( addition( X, one ), coantidomain(
% 70.05/70.45 addition( X, codomain( Y ) ) ) ), coantidomain( addition( X, codomain( Y
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , clause( 130712, [ =( coantidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.45 multiplication( addition( X, one ), coantidomain( addition( X, codomain(
% 70.05/70.45 Y ) ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1012, [ =( multiplication( addition( X, one ), coantidomain(
% 70.05/70.45 addition( X, codomain( Y ) ) ) ), coantidomain( addition( X, codomain( Y
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , clause( 130713, [ =( multiplication( addition( X, one ), coantidomain(
% 70.05/70.45 addition( X, codomain( Y ) ) ) ), coantidomain( addition( X, codomain( Y
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130715, [ =( multiplication( Y, coantidomain( X ) ), multiplication(
% 70.05/70.45 addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 85, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 70.05/70.45 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130717, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.45 addition( Y, codomain( X ) ) ) ), multiplication( addition( Y, one ),
% 70.05/70.45 coantidomain( addition( Y, codomain( X ) ) ) ) ) ] )
% 70.05/70.45 , clause( 39, [ =( addition( addition( Y, codomain( X ) ), coantidomain( X
% 70.05/70.45 ) ), addition( Y, one ) ) ] )
% 70.05/70.45 , 0, clause( 130715, [ =( multiplication( Y, coantidomain( X ) ),
% 70.05/70.45 multiplication( addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, addition( Y, codomain( X ) ) ), :=( Y, coantidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130718, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.45 addition( Y, codomain( X ) ) ) ), coantidomain( addition( Y, codomain( X
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , clause( 1012, [ =( multiplication( addition( X, one ), coantidomain(
% 70.05/70.45 addition( X, codomain( Y ) ) ) ), coantidomain( addition( X, codomain( Y
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , 0, clause( 130717, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.45 addition( Y, codomain( X ) ) ) ), multiplication( addition( Y, one ),
% 70.05/70.45 coantidomain( addition( Y, codomain( X ) ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1018, [ =( multiplication( coantidomain( Y ), coantidomain(
% 70.05/70.45 addition( X, codomain( Y ) ) ) ), coantidomain( addition( X, codomain( Y
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , clause( 130718, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.45 addition( Y, codomain( X ) ) ) ), coantidomain( addition( Y, codomain( X
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130721, [ =( multiplication( Y, coantidomain( X ) ), multiplication(
% 70.05/70.45 addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 85, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 70.05/70.45 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130723, [ =( multiplication( X, coantidomain( addition( X, Y ) ) )
% 70.05/70.45 , multiplication( addition( Y, X ), coantidomain( addition( X, Y ) ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 140, [ =( addition( addition( Y, X ), Y ), addition( X, Y ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, clause( 130721, [ =( multiplication( Y, coantidomain( X ) ),
% 70.05/70.45 multiplication( addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, addition( X, Y ) ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130724, [ =( multiplication( X, coantidomain( addition( X, Y ) ) )
% 70.05/70.45 , zero ) ] )
% 70.05/70.45 , clause( 929, [ =( multiplication( addition( Y, X ), coantidomain(
% 70.05/70.45 addition( X, Y ) ) ), zero ) ] )
% 70.05/70.45 , 0, clause( 130723, [ =( multiplication( X, coantidomain( addition( X, Y )
% 70.05/70.45 ) ), multiplication( addition( Y, X ), coantidomain( addition( X, Y ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1019, [ =( multiplication( X, coantidomain( addition( X, Y ) ) ),
% 70.05/70.45 zero ) ] )
% 70.05/70.45 , clause( 130724, [ =( multiplication( X, coantidomain( addition( X, Y ) )
% 70.05/70.45 ), zero ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130727, [ =( multiplication( Y, coantidomain( X ) ), multiplication(
% 70.05/70.45 addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 85, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 70.05/70.45 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130730, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.45 codomain( X ) ) ), multiplication( one, coantidomain( codomain( X ) ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.45 , 0, clause( 130727, [ =( multiplication( Y, coantidomain( X ) ),
% 70.05/70.45 multiplication( addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 codomain( X ) ), :=( Y, coantidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130731, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.45 codomain( X ) ) ), coantidomain( codomain( X ) ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130730, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.45 codomain( X ) ) ), multiplication( one, coantidomain( codomain( X ) ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, coantidomain( codomain( X ) ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130732, [ =( coantidomain( X ), coantidomain( codomain( X ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 266, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.45 codomain( X ) ) ), coantidomain( X ) ) ] )
% 70.05/70.45 , 0, clause( 130731, [ =( multiplication( coantidomain( X ), coantidomain(
% 70.05/70.45 codomain( X ) ) ), coantidomain( codomain( X ) ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130733, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130732, [ =( coantidomain( X ), coantidomain( codomain( X ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1024, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.45 , clause( 130733, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130735, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.45 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.45 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130739, [ =( multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( X, Z ) ) ), addition( zero, multiplication( Y, coantidomain(
% 70.05/70.45 addition( X, Z ) ) ) ) ) ] )
% 70.05/70.45 , clause( 1019, [ =( multiplication( X, coantidomain( addition( X, Y ) ) )
% 70.05/70.45 , zero ) ] )
% 70.05/70.45 , 0, clause( 130735, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, coantidomain( addition( X, Z ) ) ), :=( Z, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130741, [ =( multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( X, Z ) ) ), multiplication( Y, coantidomain( addition( X, Z ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130739, [ =( multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( X, Z ) ) ), addition( zero, multiplication( Y, coantidomain(
% 70.05/70.45 addition( X, Z ) ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, multiplication( Y, coantidomain( addition(
% 70.05/70.45 X, Z ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1055, [ =( multiplication( addition( X, Z ), coantidomain( addition(
% 70.05/70.45 X, Y ) ) ), multiplication( Z, coantidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.45 , clause( 130741, [ =( multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( X, Z ) ) ), multiplication( Y, coantidomain( addition( X, Z ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130744, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.45 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.45 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.45 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130747, [ =( multiplication( X, addition( coantidomain( addition( X
% 70.05/70.45 , Y ) ), Z ) ), addition( zero, multiplication( X, Z ) ) ) ] )
% 70.05/70.45 , clause( 1019, [ =( multiplication( X, coantidomain( addition( X, Y ) ) )
% 70.05/70.45 , zero ) ] )
% 70.05/70.45 , 0, clause( 130744, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.45 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, coantidomain( addition( X, Y ) ) ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130749, [ =( multiplication( X, addition( coantidomain( addition( X
% 70.05/70.45 , Y ) ), Z ) ), multiplication( X, Z ) ) ] )
% 70.05/70.45 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130747, [ =( multiplication( X, addition( coantidomain(
% 70.05/70.45 addition( X, Y ) ), Z ) ), addition( zero, multiplication( X, Z ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, multiplication( X, Z ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1058, [ =( multiplication( X, addition( coantidomain( addition( X,
% 70.05/70.45 Y ) ), Z ) ), multiplication( X, Z ) ) ] )
% 70.05/70.45 , clause( 130749, [ =( multiplication( X, addition( coantidomain( addition(
% 70.05/70.45 X, Y ) ), Z ) ), multiplication( X, Z ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130751, [ =( zero, multiplication( X, coantidomain( addition( X, Y
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , clause( 1019, [ =( multiplication( X, coantidomain( addition( X, Y ) ) )
% 70.05/70.45 , zero ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130753, [ =( zero, coantidomain( addition( one, X ) ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130751, [ =( zero, multiplication( X, coantidomain( addition(
% 70.05/70.45 X, Y ) ) ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, coantidomain( addition( one, X ) ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, one ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130754, [ =( coantidomain( addition( one, X ) ), zero ) ] )
% 70.05/70.45 , clause( 130753, [ =( zero, coantidomain( addition( one, X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1062, [ =( coantidomain( addition( one, X ) ), zero ) ] )
% 70.05/70.45 , clause( 130754, [ =( coantidomain( addition( one, X ) ), zero ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130756, [ =( one, addition( codomain( X ), coantidomain( X ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130758, [ =( one, addition( codomain( addition( one, X ) ), zero )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 1062, [ =( coantidomain( addition( one, X ) ), zero ) ] )
% 70.05/70.45 , 0, clause( 130756, [ =( one, addition( codomain( X ), coantidomain( X ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 addition( one, X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130759, [ =( one, codomain( addition( one, X ) ) ) ] )
% 70.05/70.45 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.45 , 0, clause( 130758, [ =( one, addition( codomain( addition( one, X ) ),
% 70.05/70.45 zero ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, codomain( addition( one, X ) ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130760, [ =( codomain( addition( one, X ) ), one ) ] )
% 70.05/70.45 , clause( 130759, [ =( one, codomain( addition( one, X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1064, [ =( codomain( addition( one, X ) ), one ) ] )
% 70.05/70.45 , clause( 130760, [ =( codomain( addition( one, X ) ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130761, [ =( one, codomain( addition( one, X ) ) ) ] )
% 70.05/70.45 , clause( 1064, [ =( codomain( addition( one, X ) ), one ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130762, [ =( one, codomain( addition( X, one ) ) ) ] )
% 70.05/70.45 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.45 , 0, clause( 130761, [ =( one, codomain( addition( one, X ) ) ) ] )
% 70.05/70.45 , 0, 3, substitution( 0, [ :=( X, one ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130765, [ =( codomain( addition( X, one ) ), one ) ] )
% 70.05/70.45 , clause( 130762, [ =( one, codomain( addition( X, one ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1068, [ =( codomain( addition( X, one ) ), one ) ] )
% 70.05/70.45 , clause( 130765, [ =( codomain( addition( X, one ) ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130767, [ =( multiplication( addition( one, Y ), X ), addition( X,
% 70.05/70.45 multiplication( Y, X ) ) ) ] )
% 70.05/70.45 , clause( 87, [ =( addition( X, multiplication( Y, X ) ), multiplication(
% 70.05/70.45 addition( one, Y ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130772, [ =( multiplication( one, Y ), addition( Y, multiplication(
% 70.05/70.45 multiplication( one, antidomain( X ) ), Y ) ) ) ] )
% 70.05/70.45 , clause( 524, [ =( addition( Y, multiplication( Y, antidomain( X ) ) ), Y
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, clause( 130767, [ =( multiplication( addition( one, Y ), X ), addition(
% 70.05/70.45 X, multiplication( Y, X ) ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, one )] ), substitution( 1, [
% 70.05/70.45 :=( X, Y ), :=( Y, multiplication( one, antidomain( X ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130775, [ =( multiplication( one, X ), addition( X, multiplication(
% 70.05/70.45 antidomain( Y ), X ) ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130772, [ =( multiplication( one, Y ), addition( Y,
% 70.05/70.45 multiplication( multiplication( one, antidomain( X ) ), Y ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, antidomain( Y ) )] ), substitution( 1, [
% 70.05/70.45 :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130777, [ =( X, addition( X, multiplication( antidomain( Y ), X ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130775, [ =( multiplication( one, X ), addition( X,
% 70.05/70.45 multiplication( antidomain( Y ), X ) ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130778, [ =( addition( X, multiplication( antidomain( Y ), X ) ), X
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 130777, [ =( X, addition( X, multiplication( antidomain( Y ), X )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1098, [ =( addition( Y, multiplication( antidomain( X ), Y ) ), Y )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 130778, [ =( addition( X, multiplication( antidomain( Y ), X ) )
% 70.05/70.45 , X ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130780, [ =( multiplication( addition( one, Y ), X ), addition( X,
% 70.05/70.45 multiplication( Y, X ) ) ) ] )
% 70.05/70.45 , clause( 87, [ =( addition( X, multiplication( Y, X ) ), multiplication(
% 70.05/70.45 addition( one, Y ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130785, [ =( multiplication( one, Y ), addition( Y, multiplication(
% 70.05/70.45 multiplication( one, codomain( X ) ), Y ) ) ) ] )
% 70.05/70.45 , clause( 523, [ =( addition( Y, multiplication( Y, codomain( X ) ) ), Y )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, clause( 130780, [ =( multiplication( addition( one, Y ), X ), addition(
% 70.05/70.45 X, multiplication( Y, X ) ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, one )] ), substitution( 1, [
% 70.05/70.45 :=( X, Y ), :=( Y, multiplication( one, codomain( X ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130788, [ =( multiplication( one, X ), addition( X, multiplication(
% 70.05/70.45 codomain( Y ), X ) ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130785, [ =( multiplication( one, Y ), addition( Y,
% 70.05/70.45 multiplication( multiplication( one, codomain( X ) ), Y ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, codomain( Y ) )] ), substitution( 1, [
% 70.05/70.45 :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130790, [ =( X, addition( X, multiplication( codomain( Y ), X ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130788, [ =( multiplication( one, X ), addition( X,
% 70.05/70.45 multiplication( codomain( Y ), X ) ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130791, [ =( addition( X, multiplication( codomain( Y ), X ) ), X )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 130790, [ =( X, addition( X, multiplication( codomain( Y ), X ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1099, [ =( addition( Y, multiplication( codomain( X ), Y ) ), Y ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130791, [ =( addition( X, multiplication( codomain( Y ), X ) ), X
% 70.05/70.45 ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130793, [ =( multiplication( addition( one, Y ), X ), addition( X,
% 70.05/70.45 multiplication( Y, X ) ) ) ] )
% 70.05/70.45 , clause( 87, [ =( addition( X, multiplication( Y, X ) ), multiplication(
% 70.05/70.45 addition( one, Y ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130798, [ =( multiplication( one, Y ), addition( Y, multiplication(
% 70.05/70.45 multiplication( one, coantidomain( X ) ), Y ) ) ) ] )
% 70.05/70.45 , clause( 522, [ =( addition( Y, multiplication( Y, coantidomain( X ) ) ),
% 70.05/70.45 Y ) ] )
% 70.05/70.45 , 0, clause( 130793, [ =( multiplication( addition( one, Y ), X ), addition(
% 70.05/70.45 X, multiplication( Y, X ) ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, one )] ), substitution( 1, [
% 70.05/70.45 :=( X, Y ), :=( Y, multiplication( one, coantidomain( X ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130801, [ =( multiplication( one, X ), addition( X, multiplication(
% 70.05/70.45 coantidomain( Y ), X ) ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130798, [ =( multiplication( one, Y ), addition( Y,
% 70.05/70.45 multiplication( multiplication( one, coantidomain( X ) ), Y ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, coantidomain( Y ) )] ), substitution( 1
% 70.05/70.45 , [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130803, [ =( X, addition( X, multiplication( coantidomain( Y ), X )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130801, [ =( multiplication( one, X ), addition( X,
% 70.05/70.45 multiplication( coantidomain( Y ), X ) ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130804, [ =( addition( X, multiplication( coantidomain( Y ), X ) )
% 70.05/70.45 , X ) ] )
% 70.05/70.45 , clause( 130803, [ =( X, addition( X, multiplication( coantidomain( Y ), X
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1104, [ =( addition( Y, multiplication( coantidomain( X ), Y ) ), Y
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 130804, [ =( addition( X, multiplication( coantidomain( Y ), X )
% 70.05/70.45 ), X ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130806, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , clause( 88, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 70.05/70.45 addition( Y, one ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130813, [ =( multiplication( addition( multiplication( X, Y ), one
% 70.05/70.45 ), codomain( Y ) ), addition( multiplication( X, Y ), codomain( Y ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 448, [ =( multiplication( multiplication( Y, X ), codomain( X ) )
% 70.05/70.45 , multiplication( Y, X ) ) ] )
% 70.05/70.45 , 0, clause( 130806, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( X, Y ) ), :=( Y, codomain( Y ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1141, [ =( multiplication( addition( multiplication( X, Y ), one )
% 70.05/70.45 , codomain( Y ) ), addition( multiplication( X, Y ), codomain( Y ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130813, [ =( multiplication( addition( multiplication( X, Y ),
% 70.05/70.45 one ), codomain( Y ) ), addition( multiplication( X, Y ), codomain( Y ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130816, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , clause( 88, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 70.05/70.45 addition( Y, one ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130820, [ =( multiplication( addition( multiplication(
% 70.05/70.45 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), one ), Z
% 70.05/70.45 ), addition( zero, Z ) ) ] )
% 70.05/70.45 , clause( 71, [ =( multiplication( multiplication( multiplication( X,
% 70.05/70.45 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 70.05/70.45 , 0, clause( 130816, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.45 substitution( 1, [ :=( X, multiplication( multiplication( X, antidomain(
% 70.05/70.45 multiplication( Y, Z ) ) ), Y ) ), :=( Y, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130821, [ =( multiplication( addition( multiplication(
% 70.05/70.45 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), one ), Z
% 70.05/70.45 ), Z ) ] )
% 70.05/70.45 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130820, [ =( multiplication( addition( multiplication(
% 70.05/70.45 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), one ), Z
% 70.05/70.45 ), addition( zero, Z ) ) ] )
% 70.05/70.45 , 0, 13, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1160, [ =( multiplication( addition( multiplication( multiplication(
% 70.05/70.45 X, antidomain( multiplication( Y, Z ) ) ), Y ), one ), Z ), Z ) ] )
% 70.05/70.45 , clause( 130821, [ =( multiplication( addition( multiplication(
% 70.05/70.45 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), one ), Z
% 70.05/70.45 ), Z ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130824, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , clause( 88, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 70.05/70.45 addition( Y, one ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130829, [ =( multiplication( one, Y ), addition( multiplication(
% 70.05/70.45 multiplication( one, codomain( X ) ), Y ), Y ) ) ] )
% 70.05/70.45 , clause( 554, [ =( addition( multiplication( Y, codomain( X ) ), Y ), Y )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, clause( 130824, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, one )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( one, codomain( X ) ) ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130832, [ =( multiplication( one, X ), addition( multiplication(
% 70.05/70.45 codomain( Y ), X ), X ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130829, [ =( multiplication( one, Y ), addition(
% 70.05/70.45 multiplication( multiplication( one, codomain( X ) ), Y ), Y ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, codomain( Y ) )] ), substitution( 1, [
% 70.05/70.45 :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130834, [ =( X, addition( multiplication( codomain( Y ), X ), X ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130832, [ =( multiplication( one, X ), addition(
% 70.05/70.45 multiplication( codomain( Y ), X ), X ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130835, [ =( addition( multiplication( codomain( Y ), X ), X ), X )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 130834, [ =( X, addition( multiplication( codomain( Y ), X ), X )
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1163, [ =( addition( multiplication( codomain( X ), Y ), Y ), Y ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130835, [ =( addition( multiplication( codomain( Y ), X ), X ), X
% 70.05/70.45 ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130837, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , clause( 88, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 70.05/70.45 addition( Y, one ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130842, [ =( multiplication( one, Y ), addition( multiplication(
% 70.05/70.45 multiplication( one, domain( X ) ), Y ), Y ) ) ] )
% 70.05/70.45 , clause( 590, [ =( addition( multiplication( Y, domain( X ) ), Y ), Y ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, clause( 130837, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, one )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( one, domain( X ) ) ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130845, [ =( multiplication( one, X ), addition( multiplication(
% 70.05/70.45 domain( Y ), X ), X ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130842, [ =( multiplication( one, Y ), addition(
% 70.05/70.45 multiplication( multiplication( one, domain( X ) ), Y ), Y ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, domain( Y ) )] ), substitution( 1, [ :=(
% 70.05/70.45 X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130847, [ =( X, addition( multiplication( domain( Y ), X ), X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130845, [ =( multiplication( one, X ), addition(
% 70.05/70.45 multiplication( domain( Y ), X ), X ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130848, [ =( addition( multiplication( domain( Y ), X ), X ), X ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130847, [ =( X, addition( multiplication( domain( Y ), X ), X ) )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1164, [ =( addition( multiplication( domain( X ), Y ), Y ), Y ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130848, [ =( addition( multiplication( domain( Y ), X ), X ), X )
% 70.05/70.45 ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130850, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , clause( 88, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 70.05/70.45 addition( Y, one ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130855, [ =( multiplication( one, Y ), addition( multiplication(
% 70.05/70.45 multiplication( one, antidomain( X ) ), Y ), Y ) ) ] )
% 70.05/70.45 , clause( 589, [ =( addition( multiplication( Y, antidomain( X ) ), Y ), Y
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, clause( 130850, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, one )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( one, antidomain( X ) ) ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130858, [ =( multiplication( one, X ), addition( multiplication(
% 70.05/70.45 antidomain( Y ), X ), X ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130855, [ =( multiplication( one, Y ), addition(
% 70.05/70.45 multiplication( multiplication( one, antidomain( X ) ), Y ), Y ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, antidomain( Y ) )] ), substitution( 1, [
% 70.05/70.45 :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130860, [ =( X, addition( multiplication( antidomain( Y ), X ), X )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130858, [ =( multiplication( one, X ), addition(
% 70.05/70.45 multiplication( antidomain( Y ), X ), X ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130861, [ =( addition( multiplication( antidomain( Y ), X ), X ), X
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 130860, [ =( X, addition( multiplication( antidomain( Y ), X ), X
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1167, [ =( addition( multiplication( antidomain( X ), Y ), Y ), Y )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 130861, [ =( addition( multiplication( antidomain( Y ), X ), X )
% 70.05/70.45 , X ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130863, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , clause( 88, [ =( addition( multiplication( Y, X ), X ), multiplication(
% 70.05/70.45 addition( Y, one ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130868, [ =( multiplication( one, Y ), addition( multiplication(
% 70.05/70.45 multiplication( one, coantidomain( X ) ), Y ), Y ) ) ] )
% 70.05/70.45 , clause( 538, [ =( addition( multiplication( X, coantidomain( Y ) ), X ),
% 70.05/70.45 X ) ] )
% 70.05/70.45 , 0, clause( 130863, [ =( multiplication( addition( X, one ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), Y ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, one ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( one, coantidomain( X ) ) ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130871, [ =( multiplication( one, X ), addition( multiplication(
% 70.05/70.45 coantidomain( Y ), X ), X ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130868, [ =( multiplication( one, Y ), addition(
% 70.05/70.45 multiplication( multiplication( one, coantidomain( X ) ), Y ), Y ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, coantidomain( Y ) )] ), substitution( 1
% 70.05/70.45 , [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130873, [ =( X, addition( multiplication( coantidomain( Y ), X ), X
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130871, [ =( multiplication( one, X ), addition(
% 70.05/70.45 multiplication( coantidomain( Y ), X ), X ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130874, [ =( addition( multiplication( coantidomain( Y ), X ), X )
% 70.05/70.45 , X ) ] )
% 70.05/70.45 , clause( 130873, [ =( X, addition( multiplication( coantidomain( Y ), X )
% 70.05/70.45 , X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1171, [ =( addition( multiplication( coantidomain( X ), Y ), Y ), Y
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 130874, [ =( addition( multiplication( coantidomain( Y ), X ), X
% 70.05/70.45 ), X ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130876, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ), true )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130878, [ =( true, ifeq2( Y, Y, leq( multiplication( codomain( X )
% 70.05/70.45 , Y ), Y ), true ) ) ] )
% 70.05/70.45 , clause( 1163, [ =( addition( multiplication( codomain( X ), Y ), Y ), Y )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, clause( 130876, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ),
% 70.05/70.45 true ) ) ] )
% 70.05/70.45 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( codomain( X ), Y ) ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130879, [ =( true, leq( multiplication( codomain( Y ), X ), X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.45 , 0, clause( 130878, [ =( true, ifeq2( Y, Y, leq( multiplication( codomain(
% 70.05/70.45 X ), Y ), Y ), true ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, leq( multiplication( codomain(
% 70.05/70.45 Y ), X ), X ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ), :=( Y,
% 70.05/70.45 X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130880, [ =( leq( multiplication( codomain( X ), Y ), Y ), true ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130879, [ =( true, leq( multiplication( codomain( Y ), X ), X ) )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1209, [ =( leq( multiplication( codomain( X ), Y ), Y ), true ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130880, [ =( leq( multiplication( codomain( X ), Y ), Y ), true )
% 70.05/70.45 ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130882, [ =( true, leq( multiplication( codomain( X ), Y ), Y ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 1209, [ =( leq( multiplication( codomain( X ), Y ), Y ), true ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130884, [ =( true, leq( multiplication( coantidomain( codomain( X )
% 70.05/70.45 ), Y ), Y ) ) ] )
% 70.05/70.45 , clause( 24, [ =( codomain( coantidomain( X ) ), coantidomain( codomain( X
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , 0, clause( 130882, [ =( true, leq( multiplication( codomain( X ), Y ), Y
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 coantidomain( X ) ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130885, [ =( true, leq( multiplication( coantidomain( X ), Y ), Y )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 1024, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, clause( 130884, [ =( true, leq( multiplication( coantidomain( codomain(
% 70.05/70.45 X ) ), Y ), Y ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130886, [ =( leq( multiplication( coantidomain( X ), Y ), Y ), true
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 130885, [ =( true, leq( multiplication( coantidomain( X ), Y ), Y
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1217, [ =( leq( multiplication( coantidomain( X ), Y ), Y ), true )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 130886, [ =( leq( multiplication( coantidomain( X ), Y ), Y ),
% 70.05/70.45 true ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130888, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ), true )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 14, [ =( ifeq2( addition( X, Y ), Y, leq( X, Y ), true ), true )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130890, [ =( true, ifeq2( Y, Y, leq( multiplication( domain( X ), Y
% 70.05/70.45 ), Y ), true ) ) ] )
% 70.05/70.45 , clause( 1164, [ =( addition( multiplication( domain( X ), Y ), Y ), Y ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, clause( 130888, [ =( true, ifeq2( addition( X, Y ), Y, leq( X, Y ),
% 70.05/70.45 true ) ) ] )
% 70.05/70.45 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( domain( X ), Y ) ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130891, [ =( true, leq( multiplication( domain( Y ), X ), X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.45 , 0, clause( 130890, [ =( true, ifeq2( Y, Y, leq( multiplication( domain( X
% 70.05/70.45 ), Y ), Y ), true ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, leq( multiplication( domain(
% 70.05/70.45 Y ), X ), X ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ), :=( Y,
% 70.05/70.45 X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130892, [ =( leq( multiplication( domain( X ), Y ), Y ), true ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130891, [ =( true, leq( multiplication( domain( Y ), X ), X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1231, [ =( leq( multiplication( domain( X ), Y ), Y ), true ) ] )
% 70.05/70.45 , clause( 130892, [ =( leq( multiplication( domain( X ), Y ), Y ), true ) ]
% 70.05/70.45 )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130894, [ =( true, leq( multiplication( domain( X ), Y ), Y ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 1231, [ =( leq( multiplication( domain( X ), Y ), Y ), true ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130895, [ =( true, leq( multiplication( antidomain( X ), Y ), Y ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 1005, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.45 , 0, clause( 130894, [ =( true, leq( multiplication( domain( X ), Y ), Y )
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 antidomain( X ) ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130896, [ =( leq( multiplication( antidomain( X ), Y ), Y ), true )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 130895, [ =( true, leq( multiplication( antidomain( X ), Y ), Y )
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1233, [ =( leq( multiplication( antidomain( X ), Y ), Y ), true ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130896, [ =( leq( multiplication( antidomain( X ), Y ), Y ), true
% 70.05/70.45 ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130899, [ =( addition( addition( multiplication( antidomain( X ), Y
% 70.05/70.45 ), Z ), Y ), addition( Y, Z ) ) ] )
% 70.05/70.45 , clause( 1167, [ =( addition( multiplication( antidomain( X ), Y ), Y ), Y
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, clause( 34, [ =( addition( addition( Z, Y ), X ), addition( addition(
% 70.05/70.45 Z, X ), Y ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, Y ), :=( Y, Z ), :=( Z, multiplication( antidomain( X ), Y ) )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1256, [ =( addition( addition( multiplication( antidomain( X ), Y )
% 70.05/70.45 , Z ), Y ), addition( Y, Z ) ) ] )
% 70.05/70.45 , clause( 130899, [ =( addition( addition( multiplication( antidomain( X )
% 70.05/70.45 , Y ), Z ), Y ), addition( Y, Z ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130901, [ =( addition( addition( Y, Z ), X ), addition( addition( X
% 70.05/70.45 , Y ), Z ) ) ] )
% 70.05/70.45 , clause( 33, [ =( addition( addition( X, Y ), Z ), addition( addition( Y,
% 70.05/70.45 Z ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130903, [ =( addition( addition( X, Y ), multiplication(
% 70.05/70.45 coantidomain( Z ), X ) ), addition( X, Y ) ) ] )
% 70.05/70.45 , clause( 1171, [ =( addition( multiplication( coantidomain( X ), Y ), Y )
% 70.05/70.45 , Y ) ] )
% 70.05/70.45 , 0, clause( 130901, [ =( addition( addition( Y, Z ), X ), addition(
% 70.05/70.45 addition( X, Y ), Z ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( coantidomain( Z ), X ) ), :=( Y, X ), :=( Z, Y )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1264, [ =( addition( addition( Y, Z ), multiplication( coantidomain(
% 70.05/70.45 X ), Y ) ), addition( Y, Z ) ) ] )
% 70.05/70.45 , clause( 130903, [ =( addition( addition( X, Y ), multiplication(
% 70.05/70.45 coantidomain( Z ), X ) ), addition( X, Y ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 70.05/70.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130907, [ =( addition( addition( Y, Z ), X ), addition( addition( X
% 70.05/70.45 , Y ), Z ) ) ] )
% 70.05/70.45 , clause( 33, [ =( addition( addition( X, Y ), Z ), addition( addition( Y,
% 70.05/70.45 Z ), X ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130908, [ =( addition( Y, Z ), addition( addition( Z,
% 70.05/70.45 multiplication( coantidomain( X ), Y ) ), Y ) ) ] )
% 70.05/70.45 , clause( 1171, [ =( addition( multiplication( coantidomain( X ), Y ), Y )
% 70.05/70.45 , Y ) ] )
% 70.05/70.45 , 0, clause( 130907, [ =( addition( addition( Y, Z ), X ), addition(
% 70.05/70.45 addition( X, Y ), Z ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, Z ), :=( Y, multiplication( coantidomain( X ), Y ) ), :=( Z, Y )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130910, [ =( addition( addition( Y, multiplication( coantidomain( Z
% 70.05/70.45 ), X ) ), X ), addition( X, Y ) ) ] )
% 70.05/70.45 , clause( 130908, [ =( addition( Y, Z ), addition( addition( Z,
% 70.05/70.45 multiplication( coantidomain( X ), Y ) ), Y ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1265, [ =( addition( addition( Z, multiplication( coantidomain( X )
% 70.05/70.45 , Y ) ), Y ), addition( Y, Z ) ) ] )
% 70.05/70.45 , clause( 130910, [ =( addition( addition( Y, multiplication( coantidomain(
% 70.05/70.45 Z ), X ) ), X ), addition( X, Y ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 70.05/70.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130913, [ =( multiplication( Y, coantidomain( X ) ), multiplication(
% 70.05/70.45 addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 85, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 70.05/70.45 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130916, [ =( multiplication( antidomain( X ), coantidomain(
% 70.05/70.45 addition( Y, domain( X ) ) ) ), multiplication( addition( Y, one ),
% 70.05/70.45 coantidomain( addition( Y, domain( X ) ) ) ) ) ] )
% 70.05/70.45 , clause( 91, [ =( addition( addition( Y, domain( X ) ), antidomain( X ) )
% 70.05/70.45 , addition( Y, one ) ) ] )
% 70.05/70.45 , 0, clause( 130913, [ =( multiplication( Y, coantidomain( X ) ),
% 70.05/70.45 multiplication( addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, addition( Y, domain( X ) ) ), :=( Y, antidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130917, [ =( multiplication( antidomain( X ), coantidomain(
% 70.05/70.45 addition( Y, domain( X ) ) ) ), multiplication( one, coantidomain(
% 70.05/70.45 addition( Y, domain( X ) ) ) ) ) ] )
% 70.05/70.45 , clause( 1055, [ =( multiplication( addition( X, Z ), coantidomain(
% 70.05/70.45 addition( X, Y ) ) ), multiplication( Z, coantidomain( addition( X, Y ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , 0, clause( 130916, [ =( multiplication( antidomain( X ), coantidomain(
% 70.05/70.45 addition( Y, domain( X ) ) ) ), multiplication( addition( Y, one ),
% 70.05/70.45 coantidomain( addition( Y, domain( X ) ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, domain( X ) ), :=( Z, one )] )
% 70.05/70.45 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130918, [ =( multiplication( antidomain( X ), coantidomain(
% 70.05/70.45 addition( Y, domain( X ) ) ) ), coantidomain( addition( Y, domain( X ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130917, [ =( multiplication( antidomain( X ), coantidomain(
% 70.05/70.45 addition( Y, domain( X ) ) ) ), multiplication( one, coantidomain(
% 70.05/70.45 addition( Y, domain( X ) ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, coantidomain( addition( Y, domain( X ) )
% 70.05/70.45 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1267, [ =( multiplication( antidomain( Y ), coantidomain( addition(
% 70.05/70.45 X, domain( Y ) ) ) ), coantidomain( addition( X, domain( Y ) ) ) ) ] )
% 70.05/70.45 , clause( 130918, [ =( multiplication( antidomain( X ), coantidomain(
% 70.05/70.45 addition( Y, domain( X ) ) ) ), coantidomain( addition( Y, domain( X ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130921, [ =( X, addition( X, multiplication( antidomain( Y ), X ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 1098, [ =( addition( Y, multiplication( antidomain( X ), Y ) ), Y
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130922, [ =( codomain( antidomain( X ) ), addition( codomain(
% 70.05/70.45 antidomain( X ) ), antidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 438, [ =( multiplication( X, codomain( X ) ), X ) ] )
% 70.05/70.45 , 0, clause( 130921, [ =( X, addition( X, multiplication( antidomain( Y ),
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , 0, 8, substitution( 0, [ :=( X, antidomain( X ) )] ), substitution( 1, [
% 70.05/70.45 :=( X, codomain( antidomain( X ) ) ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130923, [ =( addition( codomain( antidomain( X ) ), antidomain( X )
% 70.05/70.45 ), codomain( antidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 130922, [ =( codomain( antidomain( X ) ), addition( codomain(
% 70.05/70.45 antidomain( X ) ), antidomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1280, [ =( addition( codomain( antidomain( X ) ), antidomain( X ) )
% 70.05/70.45 , codomain( antidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 130923, [ =( addition( codomain( antidomain( X ) ), antidomain( X
% 70.05/70.45 ) ), codomain( antidomain( X ) ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130924, [ =( X, addition( X, multiplication( coantidomain( Y ), X )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , clause( 1104, [ =( addition( Y, multiplication( coantidomain( X ), Y ) )
% 70.05/70.45 , Y ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130928, [ =( addition( X, multiplication( coantidomain( Y ), Z ) )
% 70.05/70.45 , addition( X, multiplication( coantidomain( Y ), addition( Z, addition(
% 70.05/70.45 X, multiplication( coantidomain( Y ), Z ) ) ) ) ) ) ] )
% 70.05/70.45 , clause( 54, [ =( addition( addition( T, multiplication( X, Y ) ),
% 70.05/70.45 multiplication( X, Z ) ), addition( T, multiplication( X, addition( Y, Z
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , 0, clause( 130924, [ =( X, addition( X, multiplication( coantidomain( Y )
% 70.05/70.45 , X ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, coantidomain( Y ) ), :=( Y, Z ), :=( Z,
% 70.05/70.45 addition( X, multiplication( coantidomain( Y ), Z ) ) ), :=( T, X )] ),
% 70.05/70.45 substitution( 1, [ :=( X, addition( X, multiplication( coantidomain( Y )
% 70.05/70.45 , Z ) ) ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130929, [ =( addition( X, multiplication( coantidomain( Y ), Z ) )
% 70.05/70.45 , addition( X, multiplication( coantidomain( Y ), addition( addition( Z,
% 70.05/70.45 X ), multiplication( coantidomain( Y ), Z ) ) ) ) ) ] )
% 70.05/70.45 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.45 ), Z ) ) ] )
% 70.05/70.45 , 0, clause( 130928, [ =( addition( X, multiplication( coantidomain( Y ), Z
% 70.05/70.45 ) ), addition( X, multiplication( coantidomain( Y ), addition( Z,
% 70.05/70.45 addition( X, multiplication( coantidomain( Y ), Z ) ) ) ) ) ) ] )
% 70.05/70.45 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, multiplication(
% 70.05/70.45 coantidomain( Y ), Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 70.05/70.45 :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130930, [ =( addition( X, multiplication( coantidomain( Y ), Z ) )
% 70.05/70.45 , addition( X, multiplication( coantidomain( Y ), addition( Z, X ) ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 1264, [ =( addition( addition( Y, Z ), multiplication(
% 70.05/70.45 coantidomain( X ), Y ) ), addition( Y, Z ) ) ] )
% 70.05/70.45 , 0, clause( 130929, [ =( addition( X, multiplication( coantidomain( Y ), Z
% 70.05/70.45 ) ), addition( X, multiplication( coantidomain( Y ), addition( addition(
% 70.05/70.45 Z, X ), multiplication( coantidomain( Y ), Z ) ) ) ) ) ] )
% 70.05/70.45 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130931, [ =( addition( X, multiplication( coantidomain( Y ),
% 70.05/70.45 addition( Z, X ) ) ), addition( X, multiplication( coantidomain( Y ), Z )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , clause( 130930, [ =( addition( X, multiplication( coantidomain( Y ), Z )
% 70.05/70.45 ), addition( X, multiplication( coantidomain( Y ), addition( Z, X ) ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1295, [ =( addition( X, multiplication( coantidomain( Y ), addition(
% 70.05/70.45 Z, X ) ) ), addition( X, multiplication( coantidomain( Y ), Z ) ) ) ] )
% 70.05/70.45 , clause( 130931, [ =( addition( X, multiplication( coantidomain( Y ),
% 70.05/70.45 addition( Z, X ) ) ), addition( X, multiplication( coantidomain( Y ), Z )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130933, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.45 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.45 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130937, [ =( multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( Z, X ) ) ), addition( zero, multiplication( Y, coantidomain(
% 70.05/70.45 addition( Z, X ) ) ) ) ) ] )
% 70.05/70.45 , clause( 1002, [ =( multiplication( Y, coantidomain( addition( X, Y ) ) )
% 70.05/70.45 , zero ) ] )
% 70.05/70.45 , 0, clause( 130933, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.45 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, coantidomain( addition( Z, X ) ) ), :=( Z, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130939, [ =( multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( Z, X ) ) ), multiplication( Y, coantidomain( addition( Z, X ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130937, [ =( multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( Z, X ) ) ), addition( zero, multiplication( Y, coantidomain(
% 70.05/70.45 addition( Z, X ) ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, multiplication( Y, coantidomain( addition(
% 70.05/70.45 Z, X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1314, [ =( multiplication( addition( X, Z ), coantidomain( addition(
% 70.05/70.45 Y, X ) ) ), multiplication( Z, coantidomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.45 , clause( 130939, [ =( multiplication( addition( X, Y ), coantidomain(
% 70.05/70.45 addition( Z, X ) ) ), multiplication( Y, coantidomain( addition( Z, X ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130942, [ =( multiplication( Y, coantidomain( X ) ), multiplication(
% 70.05/70.45 addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 85, [ =( multiplication( addition( X, Y ), coantidomain( X ) ),
% 70.05/70.45 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130945, [ =( multiplication( domain( X ), coantidomain( addition( Y
% 70.05/70.45 , antidomain( X ) ) ) ), multiplication( addition( Y, one ), coantidomain(
% 70.05/70.45 addition( Y, antidomain( X ) ) ) ) ) ] )
% 70.05/70.45 , clause( 110, [ =( addition( addition( Y, antidomain( X ) ), domain( X ) )
% 70.05/70.45 , addition( Y, one ) ) ] )
% 70.05/70.45 , 0, clause( 130942, [ =( multiplication( Y, coantidomain( X ) ),
% 70.05/70.45 multiplication( addition( X, Y ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, addition( Y, antidomain( X ) ) ), :=( Y, domain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130946, [ =( multiplication( domain( X ), coantidomain( addition( Y
% 70.05/70.45 , antidomain( X ) ) ) ), multiplication( one, coantidomain( addition( Y,
% 70.05/70.45 antidomain( X ) ) ) ) ) ] )
% 70.05/70.45 , clause( 1055, [ =( multiplication( addition( X, Z ), coantidomain(
% 70.05/70.45 addition( X, Y ) ) ), multiplication( Z, coantidomain( addition( X, Y ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , 0, clause( 130945, [ =( multiplication( domain( X ), coantidomain(
% 70.05/70.45 addition( Y, antidomain( X ) ) ) ), multiplication( addition( Y, one ),
% 70.05/70.45 coantidomain( addition( Y, antidomain( X ) ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, antidomain( X ) ), :=( Z, one
% 70.05/70.45 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130947, [ =( multiplication( domain( X ), coantidomain( addition( Y
% 70.05/70.45 , antidomain( X ) ) ) ), coantidomain( addition( Y, antidomain( X ) ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130946, [ =( multiplication( domain( X ), coantidomain(
% 70.05/70.45 addition( Y, antidomain( X ) ) ) ), multiplication( one, coantidomain(
% 70.05/70.45 addition( Y, antidomain( X ) ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, coantidomain( addition( Y, antidomain( X
% 70.05/70.45 ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1544, [ =( multiplication( domain( Y ), coantidomain( addition( X,
% 70.05/70.45 antidomain( Y ) ) ) ), coantidomain( addition( X, antidomain( Y ) ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 130947, [ =( multiplication( domain( X ), coantidomain( addition(
% 70.05/70.45 Y, antidomain( X ) ) ) ), coantidomain( addition( Y, antidomain( X ) ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130950, [ =( true, ifeq2( addition( addition( X, Y ), Z ), addition(
% 70.05/70.45 Y, Z ), leq( X, addition( Y, Z ) ), true ) ) ] )
% 70.05/70.45 , clause( 120, [ =( ifeq2( addition( addition( X, Y ), Z ), addition( Y, Z
% 70.05/70.45 ), leq( X, addition( Y, Z ) ), true ), true ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130954, [ =( true, ifeq2( addition( X, Y ), addition( Y, addition(
% 70.05/70.45 X, Y ) ), leq( X, addition( Y, addition( X, Y ) ) ), true ) ) ] )
% 70.05/70.45 , clause( 5, [ =( addition( X, X ), X ) ] )
% 70.05/70.45 , 0, clause( 130950, [ =( true, ifeq2( addition( addition( X, Y ), Z ),
% 70.05/70.45 addition( Y, Z ), leq( X, addition( Y, Z ) ), true ) ) ] )
% 70.05/70.45 , 0, 3, substitution( 0, [ :=( X, addition( X, Y ) )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, Y ), :=( Z, addition( X, Y ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130960, [ =( true, ifeq2( addition( X, Y ), addition( Y, addition(
% 70.05/70.45 X, Y ) ), leq( X, addition( addition( Y, X ), Y ) ), true ) ) ] )
% 70.05/70.45 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.45 ), Z ) ) ] )
% 70.05/70.45 , 0, clause( 130954, [ =( true, ifeq2( addition( X, Y ), addition( Y,
% 70.05/70.45 addition( X, Y ) ), leq( X, addition( Y, addition( X, Y ) ) ), true ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130961, [ =( true, ifeq2( addition( X, Y ), addition( addition( Y,
% 70.05/70.45 X ), Y ), leq( X, addition( addition( Y, X ), Y ) ), true ) ) ] )
% 70.05/70.45 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.45 ), Z ) ) ] )
% 70.05/70.45 , 0, clause( 130960, [ =( true, ifeq2( addition( X, Y ), addition( Y,
% 70.05/70.45 addition( X, Y ) ), leq( X, addition( addition( Y, X ), Y ) ), true ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130964, [ =( true, ifeq2( addition( X, Y ), addition( addition( Y,
% 70.05/70.45 X ), Y ), leq( X, addition( X, Y ) ), true ) ) ] )
% 70.05/70.45 , clause( 140, [ =( addition( addition( Y, X ), Y ), addition( X, Y ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, clause( 130961, [ =( true, ifeq2( addition( X, Y ), addition( addition(
% 70.05/70.45 Y, X ), Y ), leq( X, addition( addition( Y, X ), Y ) ), true ) ) ] )
% 70.05/70.45 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130965, [ =( true, ifeq2( addition( X, Y ), addition( X, Y ), leq(
% 70.05/70.45 X, addition( X, Y ) ), true ) ) ] )
% 70.05/70.45 , clause( 140, [ =( addition( addition( Y, X ), Y ), addition( X, Y ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, clause( 130964, [ =( true, ifeq2( addition( X, Y ), addition( addition(
% 70.05/70.45 Y, X ), Y ), leq( X, addition( X, Y ) ), true ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130966, [ =( true, leq( X, addition( X, Y ) ) ) ] )
% 70.05/70.45 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.45 , 0, clause( 130965, [ =( true, ifeq2( addition( X, Y ), addition( X, Y ),
% 70.05/70.45 leq( X, addition( X, Y ) ), true ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, addition( X, Y ) ), :=( Y, leq( X,
% 70.05/70.45 addition( X, Y ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130967, [ =( leq( X, addition( X, Y ) ), true ) ] )
% 70.05/70.45 , clause( 130966, [ =( true, leq( X, addition( X, Y ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1831, [ =( leq( X, addition( X, Y ) ), true ) ] )
% 70.05/70.45 , clause( 130967, [ =( leq( X, addition( X, Y ) ), true ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130969, [ =( true, ifeq2( addition( X, Y ), X, leq( Y, X ), true )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 122, [ =( ifeq2( addition( Y, X ), Y, leq( X, Y ), true ), true )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130970, [ =( true, ifeq2( multiplication( addition( one, Y ), X ),
% 70.05/70.45 X, leq( multiplication( Y, X ), X ), true ) ) ] )
% 70.05/70.45 , clause( 87, [ =( addition( X, multiplication( Y, X ) ), multiplication(
% 70.05/70.45 addition( one, Y ), X ) ) ] )
% 70.05/70.45 , 0, clause( 130969, [ =( true, ifeq2( addition( X, Y ), X, leq( Y, X ),
% 70.05/70.45 true ) ) ] )
% 70.05/70.45 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, multiplication( Y, X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130971, [ =( ifeq2( multiplication( addition( one, X ), Y ), Y, leq(
% 70.05/70.45 multiplication( X, Y ), Y ), true ), true ) ] )
% 70.05/70.45 , clause( 130970, [ =( true, ifeq2( multiplication( addition( one, Y ), X )
% 70.05/70.45 , X, leq( multiplication( Y, X ), X ), true ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 1874, [ =( ifeq2( multiplication( addition( one, Y ), X ), X, leq(
% 70.05/70.45 multiplication( Y, X ), X ), true ), true ) ] )
% 70.05/70.45 , clause( 130971, [ =( ifeq2( multiplication( addition( one, X ), Y ), Y,
% 70.05/70.45 leq( multiplication( X, Y ), Y ), true ), true ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130974, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 1024, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, clause( 24, [ =( codomain( coantidomain( X ) ), coantidomain( codomain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.45 , clause( 130974, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130977, [ =( true, leq( X, addition( X, Y ) ) ) ] )
% 70.05/70.45 , clause( 1831, [ =( leq( X, addition( X, Y ) ), true ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130978, [ =( true, leq( antidomain( multiplication( X, Y ) ),
% 70.05/70.45 antidomain( multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.45 , clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.45 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.45 , 0, clause( 130977, [ =( true, leq( X, addition( X, Y ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, antidomain( multiplication( X, Y ) ) ), :=( Y, antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130979, [ =( leq( antidomain( multiplication( X, Y ) ), antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) ), true ) ] )
% 70.05/70.45 , clause( 130978, [ =( true, leq( antidomain( multiplication( X, Y ) ),
% 70.05/70.45 antidomain( multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2042, [ =( leq( antidomain( multiplication( X, Y ) ), antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) ), true ) ] )
% 70.05/70.45 , clause( 130979, [ =( leq( antidomain( multiplication( X, Y ) ),
% 70.05/70.45 antidomain( multiplication( X, domain( Y ) ) ) ), true ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130981, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.45 addition( antidomain( multiplication( X, Y ) ), antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.45 , clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.45 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130987, [ =( antidomain( multiplication( antidomain( addition( X, Y
% 70.05/70.45 ) ), domain( X ) ) ), addition( antidomain( zero ), antidomain(
% 70.05/70.45 multiplication( antidomain( addition( X, Y ) ), domain( X ) ) ) ) ) ] )
% 70.05/70.45 , clause( 398, [ =( multiplication( antidomain( addition( Y, X ) ), Y ),
% 70.05/70.45 zero ) ] )
% 70.05/70.45 , 0, clause( 130981, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.45 addition( antidomain( multiplication( X, Y ) ), antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.45 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, antidomain( addition( X, Y ) ) ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130989, [ =( antidomain( multiplication( antidomain( addition( X, Y
% 70.05/70.45 ) ), domain( X ) ) ), addition( one, antidomain( multiplication(
% 70.05/70.45 antidomain( addition( X, Y ) ), domain( X ) ) ) ) ) ] )
% 70.05/70.45 , clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.45 , 0, clause( 130987, [ =( antidomain( multiplication( antidomain( addition(
% 70.05/70.45 X, Y ) ), domain( X ) ) ), addition( antidomain( zero ), antidomain(
% 70.05/70.45 multiplication( antidomain( addition( X, Y ) ), domain( X ) ) ) ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130990, [ =( antidomain( multiplication( antidomain( addition( X, Y
% 70.05/70.45 ) ), domain( X ) ) ), one ) ] )
% 70.05/70.45 , clause( 135, [ =( addition( one, antidomain( X ) ), one ) ] )
% 70.05/70.45 , 0, clause( 130989, [ =( antidomain( multiplication( antidomain( addition(
% 70.05/70.45 X, Y ) ), domain( X ) ) ), addition( one, antidomain( multiplication(
% 70.05/70.45 antidomain( addition( X, Y ) ), domain( X ) ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, multiplication( antidomain( addition( X,
% 70.05/70.45 Y ) ), domain( X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2074, [ =( antidomain( multiplication( antidomain( addition( X, Y )
% 70.05/70.45 ), domain( X ) ) ), one ) ] )
% 70.05/70.45 , clause( 130990, [ =( antidomain( multiplication( antidomain( addition( X
% 70.05/70.45 , Y ) ), domain( X ) ) ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 130993, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.45 addition( antidomain( multiplication( X, Y ) ), antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.45 , clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.45 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130996, [ =( antidomain( multiplication( X, domain( coantidomain( X
% 70.05/70.45 ) ) ) ), addition( antidomain( zero ), antidomain( multiplication( X,
% 70.05/70.45 domain( coantidomain( X ) ) ) ) ) ) ] )
% 70.05/70.45 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.45 , 0, clause( 130993, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.45 addition( antidomain( multiplication( X, Y ) ), antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, coantidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130997, [ =( antidomain( multiplication( X, domain( coantidomain( X
% 70.05/70.45 ) ) ) ), addition( one, antidomain( multiplication( X, domain(
% 70.05/70.45 coantidomain( X ) ) ) ) ) ) ] )
% 70.05/70.45 , clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.45 , 0, clause( 130996, [ =( antidomain( multiplication( X, domain(
% 70.05/70.45 coantidomain( X ) ) ) ), addition( antidomain( zero ), antidomain(
% 70.05/70.45 multiplication( X, domain( coantidomain( X ) ) ) ) ) ) ] )
% 70.05/70.45 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 130998, [ =( antidomain( multiplication( X, domain( coantidomain( X
% 70.05/70.45 ) ) ) ), one ) ] )
% 70.05/70.45 , clause( 135, [ =( addition( one, antidomain( X ) ), one ) ] )
% 70.05/70.45 , 0, clause( 130997, [ =( antidomain( multiplication( X, domain(
% 70.05/70.45 coantidomain( X ) ) ) ), addition( one, antidomain( multiplication( X,
% 70.05/70.45 domain( coantidomain( X ) ) ) ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, multiplication( X, domain( coantidomain(
% 70.05/70.45 X ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2083, [ =( antidomain( multiplication( X, domain( coantidomain( X )
% 70.05/70.45 ) ) ), one ) ] )
% 70.05/70.45 , clause( 130998, [ =( antidomain( multiplication( X, domain( coantidomain(
% 70.05/70.45 X ) ) ) ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131001, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.45 X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ] )
% 70.05/70.45 , clause( 71, [ =( multiplication( multiplication( multiplication( X,
% 70.05/70.45 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131003, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.45 X, one ), Y ), domain( coantidomain( Y ) ) ) ) ] )
% 70.05/70.45 , clause( 2083, [ =( antidomain( multiplication( X, domain( coantidomain( X
% 70.05/70.45 ) ) ) ), one ) ] )
% 70.05/70.45 , 0, clause( 131001, [ =( zero, multiplication( multiplication(
% 70.05/70.45 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y ), :=( Z, domain( coantidomain( Y ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131004, [ =( zero, multiplication( multiplication( X, Y ), domain(
% 70.05/70.45 coantidomain( Y ) ) ) ) ] )
% 70.05/70.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.45 , 0, clause( 131003, [ =( zero, multiplication( multiplication(
% 70.05/70.45 multiplication( X, one ), Y ), domain( coantidomain( Y ) ) ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131005, [ =( multiplication( multiplication( X, Y ), domain(
% 70.05/70.45 coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.45 , clause( 131004, [ =( zero, multiplication( multiplication( X, Y ), domain(
% 70.05/70.45 coantidomain( Y ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2093, [ =( multiplication( multiplication( Y, X ), domain(
% 70.05/70.45 coantidomain( X ) ) ), zero ) ] )
% 70.05/70.45 , clause( 131005, [ =( multiplication( multiplication( X, Y ), domain(
% 70.05/70.45 coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131007, [ =( zero, multiplication( domain( X ), antidomain( X ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 29, [ =( multiplication( domain( X ), antidomain( X ) ), zero ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131009, [ =( zero, multiplication( domain( multiplication( X,
% 70.05/70.45 domain( coantidomain( X ) ) ) ), one ) ) ] )
% 70.05/70.45 , clause( 2083, [ =( antidomain( multiplication( X, domain( coantidomain( X
% 70.05/70.45 ) ) ) ), one ) ] )
% 70.05/70.45 , 0, clause( 131007, [ =( zero, multiplication( domain( X ), antidomain( X
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 multiplication( X, domain( coantidomain( X ) ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131010, [ =( zero, domain( multiplication( X, domain( coantidomain(
% 70.05/70.45 X ) ) ) ) ) ] )
% 70.05/70.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.45 , 0, clause( 131009, [ =( zero, multiplication( domain( multiplication( X,
% 70.05/70.45 domain( coantidomain( X ) ) ) ), one ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, domain( multiplication( X, domain(
% 70.05/70.45 coantidomain( X ) ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131011, [ =( domain( multiplication( X, domain( coantidomain( X ) )
% 70.05/70.45 ) ), zero ) ] )
% 70.05/70.45 , clause( 131010, [ =( zero, domain( multiplication( X, domain(
% 70.05/70.45 coantidomain( X ) ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2097, [ =( domain( multiplication( X, domain( coantidomain( X ) ) )
% 70.05/70.45 ), zero ) ] )
% 70.05/70.45 , clause( 131011, [ =( domain( multiplication( X, domain( coantidomain( X )
% 70.05/70.45 ) ) ), zero ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131013, [ =( X, multiplication( domain( X ), X ) ) ] )
% 70.05/70.45 , clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131016, [ =( multiplication( X, domain( coantidomain( X ) ) ),
% 70.05/70.45 multiplication( zero, multiplication( X, domain( coantidomain( X ) ) ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 2097, [ =( domain( multiplication( X, domain( coantidomain( X ) )
% 70.05/70.45 ) ), zero ) ] )
% 70.05/70.45 , 0, clause( 131013, [ =( X, multiplication( domain( X ), X ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 multiplication( X, domain( coantidomain( X ) ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131017, [ =( multiplication( X, domain( coantidomain( X ) ) ),
% 70.05/70.45 multiplication( multiplication( zero, X ), domain( coantidomain( X ) ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.45 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.45 , 0, clause( 131016, [ =( multiplication( X, domain( coantidomain( X ) ) )
% 70.05/70.45 , multiplication( zero, multiplication( X, domain( coantidomain( X ) ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, zero ), :=( Y, X ), :=( Z, domain(
% 70.05/70.45 coantidomain( X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131018, [ =( multiplication( X, domain( coantidomain( X ) ) ), zero
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 2093, [ =( multiplication( multiplication( Y, X ), domain(
% 70.05/70.45 coantidomain( X ) ) ), zero ) ] )
% 70.05/70.45 , 0, clause( 131017, [ =( multiplication( X, domain( coantidomain( X ) ) )
% 70.05/70.45 , multiplication( multiplication( zero, X ), domain( coantidomain( X ) )
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, zero )] ), substitution( 1, [
% 70.05/70.45 :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2100, [ =( multiplication( X, domain( coantidomain( X ) ) ), zero )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 131018, [ =( multiplication( X, domain( coantidomain( X ) ) ),
% 70.05/70.45 zero ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131021, [ =( multiplication( X, Z ), ifeq( leq( multiplication( X,
% 70.05/70.45 Y ), multiplication( X, Z ) ), true, multiplication( X, addition( Y, Z )
% 70.05/70.45 ), multiplication( X, Z ) ) ) ] )
% 70.05/70.45 , clause( 102, [ =( ifeq( leq( multiplication( X, Y ), multiplication( X, Z
% 70.05/70.45 ) ), true, multiplication( X, addition( Y, Z ) ), multiplication( X, Z )
% 70.05/70.45 ), multiplication( X, Z ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131027, [ =( multiplication( X, Y ), ifeq( leq( zero,
% 70.05/70.45 multiplication( X, Y ) ), true, multiplication( X, addition( domain(
% 70.05/70.45 coantidomain( X ) ), Y ) ), multiplication( X, Y ) ) ) ] )
% 70.05/70.45 , clause( 2100, [ =( multiplication( X, domain( coantidomain( X ) ) ), zero
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, clause( 131021, [ =( multiplication( X, Z ), ifeq( leq( multiplication(
% 70.05/70.45 X, Y ), multiplication( X, Z ) ), true, multiplication( X, addition( Y, Z
% 70.05/70.45 ) ), multiplication( X, Z ) ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, domain( coantidomain( X ) ) ), :=( Z, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131032, [ =( multiplication( X, Y ), ifeq( true, true,
% 70.05/70.45 multiplication( X, addition( domain( coantidomain( X ) ), Y ) ),
% 70.05/70.45 multiplication( X, Y ) ) ) ] )
% 70.05/70.45 , clause( 121, [ =( leq( zero, X ), true ) ] )
% 70.05/70.45 , 0, clause( 131027, [ =( multiplication( X, Y ), ifeq( leq( zero,
% 70.05/70.45 multiplication( X, Y ) ), true, multiplication( X, addition( domain(
% 70.05/70.45 coantidomain( X ) ), Y ) ), multiplication( X, Y ) ) ) ] )
% 70.05/70.45 , 0, 5, substitution( 0, [ :=( X, multiplication( X, Y ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131033, [ =( multiplication( X, Y ), multiplication( X, addition(
% 70.05/70.45 domain( coantidomain( X ) ), Y ) ) ) ] )
% 70.05/70.45 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.45 , 0, clause( 131032, [ =( multiplication( X, Y ), ifeq( true, true,
% 70.05/70.45 multiplication( X, addition( domain( coantidomain( X ) ), Y ) ),
% 70.05/70.45 multiplication( X, Y ) ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, true ), :=( Y, multiplication( X,
% 70.05/70.45 addition( domain( coantidomain( X ) ), Y ) ) ), :=( Z, multiplication( X
% 70.05/70.45 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131034, [ =( multiplication( X, addition( domain( coantidomain( X )
% 70.05/70.45 ), Y ) ), multiplication( X, Y ) ) ] )
% 70.05/70.45 , clause( 131033, [ =( multiplication( X, Y ), multiplication( X, addition(
% 70.05/70.45 domain( coantidomain( X ) ), Y ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2103, [ =( multiplication( X, addition( domain( coantidomain( X ) )
% 70.05/70.45 , Y ) ), multiplication( X, Y ) ) ] )
% 70.05/70.45 , clause( 131034, [ =( multiplication( X, addition( domain( coantidomain( X
% 70.05/70.45 ) ), Y ) ), multiplication( X, Y ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131036, [ =( coantidomain( multiplication( codomain( X ), Y ) ),
% 70.05/70.45 addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ) ] )
% 70.05/70.45 , clause( 149, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.45 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131042, [ =( coantidomain( multiplication( codomain( X ),
% 70.05/70.45 coantidomain( addition( Y, X ) ) ) ), addition( coantidomain( zero ),
% 70.05/70.45 coantidomain( multiplication( codomain( X ), coantidomain( addition( Y, X
% 70.05/70.45 ) ) ) ) ) ) ] )
% 70.05/70.45 , clause( 1002, [ =( multiplication( Y, coantidomain( addition( X, Y ) ) )
% 70.05/70.45 , zero ) ] )
% 70.05/70.45 , 0, clause( 131036, [ =( coantidomain( multiplication( codomain( X ), Y )
% 70.05/70.45 ), addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ) ] )
% 70.05/70.45 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, X ), :=( Y, coantidomain( addition( Y, X ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131044, [ =( coantidomain( multiplication( codomain( X ),
% 70.05/70.45 coantidomain( addition( Y, X ) ) ) ), addition( one, coantidomain(
% 70.05/70.45 multiplication( codomain( X ), coantidomain( addition( Y, X ) ) ) ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 41, [ =( coantidomain( zero ), one ) ] )
% 70.05/70.45 , 0, clause( 131042, [ =( coantidomain( multiplication( codomain( X ),
% 70.05/70.45 coantidomain( addition( Y, X ) ) ) ), addition( coantidomain( zero ),
% 70.05/70.45 coantidomain( multiplication( codomain( X ), coantidomain( addition( Y, X
% 70.05/70.45 ) ) ) ) ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131045, [ =( coantidomain( multiplication( codomain( X ),
% 70.05/70.45 coantidomain( addition( Y, X ) ) ) ), one ) ] )
% 70.05/70.45 , clause( 138, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.45 , 0, clause( 131044, [ =( coantidomain( multiplication( codomain( X ),
% 70.05/70.45 coantidomain( addition( Y, X ) ) ) ), addition( one, coantidomain(
% 70.05/70.45 multiplication( codomain( X ), coantidomain( addition( Y, X ) ) ) ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, multiplication( codomain( X ),
% 70.05/70.45 coantidomain( addition( Y, X ) ) ) )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2536, [ =( coantidomain( multiplication( codomain( X ),
% 70.05/70.45 coantidomain( addition( Y, X ) ) ) ), one ) ] )
% 70.05/70.45 , clause( 131045, [ =( coantidomain( multiplication( codomain( X ),
% 70.05/70.45 coantidomain( addition( Y, X ) ) ) ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131048, [ =( multiplication( X, Y ), multiplication( X, addition( Y
% 70.05/70.45 , coantidomain( X ) ) ) ) ] )
% 70.05/70.45 , clause( 61, [ =( multiplication( X, addition( Y, coantidomain( X ) ) ),
% 70.05/70.45 multiplication( X, Y ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131054, [ =( multiplication( multiplication( codomain( X ), Y ),
% 70.05/70.45 coantidomain( multiplication( X, Y ) ) ), multiplication( multiplication(
% 70.05/70.45 codomain( X ), Y ), coantidomain( multiplication( codomain( X ), Y ) ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 149, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.45 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.45 , 0, clause( 131048, [ =( multiplication( X, Y ), multiplication( X,
% 70.05/70.45 addition( Y, coantidomain( X ) ) ) ) ] )
% 70.05/70.45 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( codomain( X ), Y ) ), :=( Y, coantidomain(
% 70.05/70.45 multiplication( X, Y ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131055, [ =( multiplication( multiplication( codomain( X ), Y ),
% 70.05/70.45 coantidomain( multiplication( X, Y ) ) ), zero ) ] )
% 70.05/70.45 , clause( 19, [ =( multiplication( X, coantidomain( X ) ), zero ) ] )
% 70.05/70.45 , 0, clause( 131054, [ =( multiplication( multiplication( codomain( X ), Y
% 70.05/70.45 ), coantidomain( multiplication( X, Y ) ) ), multiplication(
% 70.05/70.45 multiplication( codomain( X ), Y ), coantidomain( multiplication(
% 70.05/70.45 codomain( X ), Y ) ) ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [ :=( X, multiplication( codomain( X ), Y ) )] )
% 70.05/70.45 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2561, [ =( multiplication( multiplication( codomain( X ), Y ),
% 70.05/70.45 coantidomain( multiplication( X, Y ) ) ), zero ) ] )
% 70.05/70.45 , clause( 131055, [ =( multiplication( multiplication( codomain( X ), Y ),
% 70.05/70.45 coantidomain( multiplication( X, Y ) ) ), zero ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131058, [ =( coantidomain( multiplication( codomain( X ), Y ) ),
% 70.05/70.45 addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ) ] )
% 70.05/70.45 , clause( 149, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.45 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131061, [ =( coantidomain( multiplication( codomain( multiplication(
% 70.05/70.45 X, antidomain( Y ) ) ), Y ) ), addition( coantidomain( zero ),
% 70.05/70.45 coantidomain( multiplication( codomain( multiplication( X, antidomain( Y
% 70.05/70.45 ) ) ), Y ) ) ) ) ] )
% 70.05/70.45 , clause( 45, [ =( multiplication( multiplication( Y, antidomain( X ) ), X
% 70.05/70.45 ), zero ) ] )
% 70.05/70.45 , 0, clause( 131058, [ =( coantidomain( multiplication( codomain( X ), Y )
% 70.05/70.45 ), addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ) ] )
% 70.05/70.45 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( X, antidomain( Y ) ) ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131062, [ =( coantidomain( multiplication( codomain( multiplication(
% 70.05/70.45 X, antidomain( Y ) ) ), Y ) ), addition( one, coantidomain(
% 70.05/70.45 multiplication( codomain( multiplication( X, antidomain( Y ) ) ), Y ) ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 41, [ =( coantidomain( zero ), one ) ] )
% 70.05/70.45 , 0, clause( 131061, [ =( coantidomain( multiplication( codomain(
% 70.05/70.45 multiplication( X, antidomain( Y ) ) ), Y ) ), addition( coantidomain(
% 70.05/70.45 zero ), coantidomain( multiplication( codomain( multiplication( X,
% 70.05/70.45 antidomain( Y ) ) ), Y ) ) ) ) ] )
% 70.05/70.45 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131063, [ =( coantidomain( multiplication( codomain( multiplication(
% 70.05/70.45 X, antidomain( Y ) ) ), Y ) ), one ) ] )
% 70.05/70.45 , clause( 138, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.45 , 0, clause( 131062, [ =( coantidomain( multiplication( codomain(
% 70.05/70.45 multiplication( X, antidomain( Y ) ) ), Y ) ), addition( one,
% 70.05/70.45 coantidomain( multiplication( codomain( multiplication( X, antidomain( Y
% 70.05/70.45 ) ) ), Y ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, multiplication( codomain( multiplication(
% 70.05/70.45 X, antidomain( Y ) ) ), Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 70.05/70.45 )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2567, [ =( coantidomain( multiplication( codomain( multiplication(
% 70.05/70.45 X, antidomain( Y ) ) ), Y ) ), one ) ] )
% 70.05/70.45 , clause( 131063, [ =( coantidomain( multiplication( codomain(
% 70.05/70.45 multiplication( X, antidomain( Y ) ) ), Y ) ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131066, [ =( coantidomain( multiplication( codomain( X ), Y ) ),
% 70.05/70.45 addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ) ] )
% 70.05/70.45 , clause( 149, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.45 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131069, [ =( coantidomain( multiplication( codomain( antidomain( X
% 70.05/70.45 ) ), X ) ), addition( coantidomain( zero ), coantidomain( multiplication(
% 70.05/70.45 codomain( antidomain( X ) ), X ) ) ) ) ] )
% 70.05/70.45 , clause( 15, [ =( multiplication( antidomain( X ), X ), zero ) ] )
% 70.05/70.45 , 0, clause( 131066, [ =( coantidomain( multiplication( codomain( X ), Y )
% 70.05/70.45 ), addition( coantidomain( multiplication( X, Y ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 antidomain( X ) ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131070, [ =( coantidomain( multiplication( codomain( antidomain( X
% 70.05/70.45 ) ), X ) ), addition( one, coantidomain( multiplication( codomain(
% 70.05/70.45 antidomain( X ) ), X ) ) ) ) ] )
% 70.05/70.45 , clause( 41, [ =( coantidomain( zero ), one ) ] )
% 70.05/70.45 , 0, clause( 131069, [ =( coantidomain( multiplication( codomain(
% 70.05/70.45 antidomain( X ) ), X ) ), addition( coantidomain( zero ), coantidomain(
% 70.05/70.45 multiplication( codomain( antidomain( X ) ), X ) ) ) ) ] )
% 70.05/70.45 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131071, [ =( coantidomain( multiplication( codomain( antidomain( X
% 70.05/70.45 ) ), X ) ), one ) ] )
% 70.05/70.45 , clause( 138, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.45 , 0, clause( 131070, [ =( coantidomain( multiplication( codomain(
% 70.05/70.45 antidomain( X ) ), X ) ), addition( one, coantidomain( multiplication(
% 70.05/70.45 codomain( antidomain( X ) ), X ) ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, multiplication( codomain( antidomain( X )
% 70.05/70.45 ), X ) )] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2570, [ =( coantidomain( multiplication( codomain( antidomain( X )
% 70.05/70.45 ), X ) ), one ) ] )
% 70.05/70.45 , clause( 131071, [ =( coantidomain( multiplication( codomain( antidomain(
% 70.05/70.45 X ) ), X ) ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131074, [ =( zero, multiplication( multiplication( X, Y ), domain(
% 70.05/70.45 coantidomain( Y ) ) ) ) ] )
% 70.05/70.45 , clause( 2093, [ =( multiplication( multiplication( Y, X ), domain(
% 70.05/70.45 coantidomain( X ) ) ), zero ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131078, [ =( zero, multiplication( multiplication( X,
% 70.05/70.45 multiplication( codomain( antidomain( Y ) ), Y ) ), domain( one ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 2570, [ =( coantidomain( multiplication( codomain( antidomain( X
% 70.05/70.45 ) ), X ) ), one ) ] )
% 70.05/70.45 , 0, clause( 131074, [ =( zero, multiplication( multiplication( X, Y ),
% 70.05/70.45 domain( coantidomain( Y ) ) ) ) ] )
% 70.05/70.45 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, multiplication( codomain( antidomain( Y ) ), Y ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131079, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.45 X, codomain( antidomain( Y ) ) ), Y ), domain( one ) ) ) ] )
% 70.05/70.45 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.45 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.45 , 0, clause( 131078, [ =( zero, multiplication( multiplication( X,
% 70.05/70.45 multiplication( codomain( antidomain( Y ) ), Y ) ), domain( one ) ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, codomain( antidomain( Y ) ) )
% 70.05/70.45 , :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131080, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.45 X, codomain( antidomain( Y ) ) ), Y ), one ) ) ] )
% 70.05/70.45 , clause( 1006, [ =( domain( one ), one ) ] )
% 70.05/70.45 , 0, clause( 131079, [ =( zero, multiplication( multiplication(
% 70.05/70.45 multiplication( X, codomain( antidomain( Y ) ) ), Y ), domain( one ) ) )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131081, [ =( zero, multiplication( multiplication( X, codomain(
% 70.05/70.45 antidomain( Y ) ) ), Y ) ) ] )
% 70.05/70.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.45 , 0, clause( 131080, [ =( zero, multiplication( multiplication(
% 70.05/70.45 multiplication( X, codomain( antidomain( Y ) ) ), Y ), one ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, multiplication( multiplication( X,
% 70.05/70.45 codomain( antidomain( Y ) ) ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.45 :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131082, [ =( multiplication( multiplication( X, codomain(
% 70.05/70.45 antidomain( Y ) ) ), Y ), zero ) ] )
% 70.05/70.45 , clause( 131081, [ =( zero, multiplication( multiplication( X, codomain(
% 70.05/70.45 antidomain( Y ) ) ), Y ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2571, [ =( multiplication( multiplication( Y, codomain( antidomain(
% 70.05/70.45 X ) ) ), X ), zero ) ] )
% 70.05/70.45 , clause( 131082, [ =( multiplication( multiplication( X, codomain(
% 70.05/70.45 antidomain( Y ) ) ), Y ), zero ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131084, [ =( zero, multiplication( X, domain( coantidomain( X ) ) )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 2100, [ =( multiplication( X, domain( coantidomain( X ) ) ), zero
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131087, [ =( zero, multiplication( multiplication( codomain(
% 70.05/70.45 antidomain( X ) ), X ), domain( one ) ) ) ] )
% 70.05/70.45 , clause( 2570, [ =( coantidomain( multiplication( codomain( antidomain( X
% 70.05/70.45 ) ), X ) ), one ) ] )
% 70.05/70.45 , 0, clause( 131084, [ =( zero, multiplication( X, domain( coantidomain( X
% 70.05/70.45 ) ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 multiplication( codomain( antidomain( X ) ), X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131088, [ =( zero, multiplication( multiplication( codomain(
% 70.05/70.45 antidomain( X ) ), X ), one ) ) ] )
% 70.05/70.45 , clause( 1006, [ =( domain( one ), one ) ] )
% 70.05/70.45 , 0, clause( 131087, [ =( zero, multiplication( multiplication( codomain(
% 70.05/70.45 antidomain( X ) ), X ), domain( one ) ) ) ] )
% 70.05/70.45 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131089, [ =( zero, multiplication( codomain( antidomain( X ) ), X )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.45 , 0, clause( 131088, [ =( zero, multiplication( multiplication( codomain(
% 70.05/70.45 antidomain( X ) ), X ), one ) ) ] )
% 70.05/70.45 , 0, 2, substitution( 0, [ :=( X, multiplication( codomain( antidomain( X )
% 70.05/70.45 ), X ) )] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131090, [ =( multiplication( codomain( antidomain( X ) ), X ), zero
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 131089, [ =( zero, multiplication( codomain( antidomain( X ) ), X
% 70.05/70.45 ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2574, [ =( multiplication( codomain( antidomain( X ) ), X ), zero )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 131090, [ =( multiplication( codomain( antidomain( X ) ), X ),
% 70.05/70.45 zero ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131092, [ =( multiplication( Z, Y ), ifeq( leq( multiplication( X,
% 70.05/70.45 Y ), multiplication( Z, Y ) ), true, multiplication( addition( X, Z ), Y
% 70.05/70.45 ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.45 , clause( 100, [ =( ifeq( leq( multiplication( X, Y ), multiplication( Z, Y
% 70.05/70.45 ) ), true, multiplication( addition( X, Z ), Y ), multiplication( Z, Y )
% 70.05/70.45 ), multiplication( Z, Y ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131098, [ =( multiplication( X, Y ), ifeq( leq( zero,
% 70.05/70.45 multiplication( X, Y ) ), true, multiplication( addition( codomain(
% 70.05/70.45 antidomain( Y ) ), X ), Y ), multiplication( X, Y ) ) ) ] )
% 70.05/70.45 , clause( 2574, [ =( multiplication( codomain( antidomain( X ) ), X ), zero
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, clause( 131092, [ =( multiplication( Z, Y ), ifeq( leq( multiplication(
% 70.05/70.45 X, Y ), multiplication( Z, Y ) ), true, multiplication( addition( X, Z )
% 70.05/70.45 , Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 70.05/70.45 codomain( antidomain( Y ) ) ), :=( Y, Y ), :=( Z, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131103, [ =( multiplication( X, Y ), ifeq( true, true,
% 70.05/70.45 multiplication( addition( codomain( antidomain( Y ) ), X ), Y ),
% 70.05/70.45 multiplication( X, Y ) ) ) ] )
% 70.05/70.45 , clause( 121, [ =( leq( zero, X ), true ) ] )
% 70.05/70.45 , 0, clause( 131098, [ =( multiplication( X, Y ), ifeq( leq( zero,
% 70.05/70.45 multiplication( X, Y ) ), true, multiplication( addition( codomain(
% 70.05/70.45 antidomain( Y ) ), X ), Y ), multiplication( X, Y ) ) ) ] )
% 70.05/70.45 , 0, 5, substitution( 0, [ :=( X, multiplication( X, Y ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131104, [ =( multiplication( X, Y ), multiplication( addition(
% 70.05/70.45 codomain( antidomain( Y ) ), X ), Y ) ) ] )
% 70.05/70.45 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.45 , 0, clause( 131103, [ =( multiplication( X, Y ), ifeq( true, true,
% 70.05/70.45 multiplication( addition( codomain( antidomain( Y ) ), X ), Y ),
% 70.05/70.45 multiplication( X, Y ) ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, true ), :=( Y, multiplication( addition(
% 70.05/70.45 codomain( antidomain( Y ) ), X ), Y ) ), :=( Z, multiplication( X, Y ) )] )
% 70.05/70.45 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131105, [ =( multiplication( addition( codomain( antidomain( Y ) )
% 70.05/70.45 , X ), Y ), multiplication( X, Y ) ) ] )
% 70.05/70.45 , clause( 131104, [ =( multiplication( X, Y ), multiplication( addition(
% 70.05/70.45 codomain( antidomain( Y ) ), X ), Y ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 2580, [ =( multiplication( addition( codomain( antidomain( X ) ), Y
% 70.05/70.45 ), X ), multiplication( Y, X ) ) ] )
% 70.05/70.45 , clause( 131105, [ =( multiplication( addition( codomain( antidomain( Y )
% 70.05/70.45 ), X ), Y ), multiplication( X, Y ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131107, [ =( addition( X, one ), addition( addition( X, antidomain(
% 70.05/70.45 Y ) ), domain( Y ) ) ) ] )
% 70.05/70.45 , clause( 110, [ =( addition( addition( Y, antidomain( X ) ), domain( X ) )
% 70.05/70.45 , addition( Y, one ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131109, [ =( addition( codomain( antidomain( X ) ), one ), addition(
% 70.05/70.45 codomain( antidomain( X ) ), domain( X ) ) ) ] )
% 70.05/70.45 , clause( 1280, [ =( addition( codomain( antidomain( X ) ), antidomain( X )
% 70.05/70.45 ), codomain( antidomain( X ) ) ) ] )
% 70.05/70.45 , 0, clause( 131107, [ =( addition( X, one ), addition( addition( X,
% 70.05/70.45 antidomain( Y ) ), domain( Y ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 codomain( antidomain( X ) ) ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131110, [ =( one, addition( codomain( antidomain( X ) ), domain( X
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , clause( 159, [ =( addition( codomain( X ), one ), one ) ] )
% 70.05/70.45 , 0, clause( 131109, [ =( addition( codomain( antidomain( X ) ), one ),
% 70.05/70.45 addition( codomain( antidomain( X ) ), domain( X ) ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, antidomain( X ) )] ), substitution( 1, [
% 70.05/70.45 :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131111, [ =( addition( codomain( antidomain( X ) ), domain( X ) ),
% 70.05/70.45 one ) ] )
% 70.05/70.45 , clause( 131110, [ =( one, addition( codomain( antidomain( X ) ), domain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3044, [ =( addition( codomain( antidomain( X ) ), domain( X ) ),
% 70.05/70.45 one ) ] )
% 70.05/70.45 , clause( 131111, [ =( addition( codomain( antidomain( X ) ), domain( X ) )
% 70.05/70.45 , one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131113, [ =( one, addition( codomain( antidomain( X ) ), domain( X
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , clause( 3044, [ =( addition( codomain( antidomain( X ) ), domain( X ) ),
% 70.05/70.45 one ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131115, [ =( one, addition( codomain( antidomain( antidomain( X ) )
% 70.05/70.45 ), antidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 1005, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.45 , 0, clause( 131113, [ =( one, addition( codomain( antidomain( X ) ),
% 70.05/70.45 domain( X ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 antidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131116, [ =( one, addition( codomain( domain( X ) ), antidomain( X
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.45 , 0, clause( 131115, [ =( one, addition( codomain( antidomain( antidomain(
% 70.05/70.45 X ) ) ), antidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131117, [ =( addition( codomain( domain( X ) ), antidomain( X ) ),
% 70.05/70.45 one ) ] )
% 70.05/70.45 , clause( 131116, [ =( one, addition( codomain( domain( X ) ), antidomain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3050, [ =( addition( codomain( domain( X ) ), antidomain( X ) ),
% 70.05/70.45 one ) ] )
% 70.05/70.45 , clause( 131117, [ =( addition( codomain( domain( X ) ), antidomain( X ) )
% 70.05/70.45 , one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131119, [ =( multiplication( coantidomain( X ), Y ), multiplication(
% 70.05/70.45 coantidomain( X ), addition( codomain( X ), Y ) ) ) ] )
% 70.05/70.45 , clause( 52, [ =( multiplication( coantidomain( X ), addition( codomain( X
% 70.05/70.45 ), Y ) ), multiplication( coantidomain( X ), Y ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131121, [ =( multiplication( coantidomain( domain( X ) ),
% 70.05/70.45 antidomain( X ) ), multiplication( coantidomain( domain( X ) ), one ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 3050, [ =( addition( codomain( domain( X ) ), antidomain( X ) ),
% 70.05/70.45 one ) ] )
% 70.05/70.45 , 0, clause( 131119, [ =( multiplication( coantidomain( X ), Y ),
% 70.05/70.45 multiplication( coantidomain( X ), addition( codomain( X ), Y ) ) ) ] )
% 70.05/70.45 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.45 X ) ), :=( Y, antidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131122, [ =( multiplication( coantidomain( domain( X ) ),
% 70.05/70.45 antidomain( X ) ), coantidomain( domain( X ) ) ) ] )
% 70.05/70.45 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.45 , 0, clause( 131121, [ =( multiplication( coantidomain( domain( X ) ),
% 70.05/70.45 antidomain( X ) ), multiplication( coantidomain( domain( X ) ), one ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, coantidomain( domain( X ) ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3069, [ =( multiplication( coantidomain( domain( X ) ), antidomain(
% 70.05/70.45 X ) ), coantidomain( domain( X ) ) ) ] )
% 70.05/70.45 , clause( 131122, [ =( multiplication( coantidomain( domain( X ) ),
% 70.05/70.45 antidomain( X ) ), coantidomain( domain( X ) ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131125, [ =( true, leq( multiplication( coantidomain( X ), Y ), Y )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 1217, [ =( leq( multiplication( coantidomain( X ), Y ), Y ), true
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131126, [ =( true, leq( coantidomain( domain( X ) ), antidomain( X
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , clause( 3069, [ =( multiplication( coantidomain( domain( X ) ),
% 70.05/70.45 antidomain( X ) ), coantidomain( domain( X ) ) ) ] )
% 70.05/70.45 , 0, clause( 131125, [ =( true, leq( multiplication( coantidomain( X ), Y )
% 70.05/70.45 , Y ) ) ] )
% 70.05/70.45 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.45 X ) ), :=( Y, antidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131127, [ =( leq( coantidomain( domain( X ) ), antidomain( X ) ),
% 70.05/70.45 true ) ] )
% 70.05/70.45 , clause( 131126, [ =( true, leq( coantidomain( domain( X ) ), antidomain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3129, [ =( leq( coantidomain( domain( X ) ), antidomain( X ) ),
% 70.05/70.45 true ) ] )
% 70.05/70.45 , clause( 131127, [ =( leq( coantidomain( domain( X ) ), antidomain( X ) )
% 70.05/70.45 , true ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131129, [ =( true, leq( coantidomain( domain( X ) ), antidomain( X
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , clause( 3129, [ =( leq( coantidomain( domain( X ) ), antidomain( X ) ),
% 70.05/70.45 true ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131131, [ =( true, leq( coantidomain( antidomain( X ) ), antidomain(
% 70.05/70.45 antidomain( X ) ) ) ) ] )
% 70.05/70.45 , clause( 1005, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.45 , 0, clause( 131129, [ =( true, leq( coantidomain( domain( X ) ),
% 70.05/70.45 antidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 antidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131132, [ =( true, leq( coantidomain( antidomain( X ) ), domain( X
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.45 , 0, clause( 131131, [ =( true, leq( coantidomain( antidomain( X ) ),
% 70.05/70.45 antidomain( antidomain( X ) ) ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131133, [ =( leq( coantidomain( antidomain( X ) ), domain( X ) ),
% 70.05/70.45 true ) ] )
% 70.05/70.45 , clause( 131132, [ =( true, leq( coantidomain( antidomain( X ) ), domain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3138, [ =( leq( coantidomain( antidomain( X ) ), domain( X ) ),
% 70.05/70.45 true ) ] )
% 70.05/70.45 , clause( 131133, [ =( leq( coantidomain( antidomain( X ) ), domain( X ) )
% 70.05/70.45 , true ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131135, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131137, [ =( domain( X ), ifeq( true, true, addition( coantidomain(
% 70.05/70.45 antidomain( X ) ), domain( X ) ), domain( X ) ) ) ] )
% 70.05/70.45 , clause( 3138, [ =( leq( coantidomain( antidomain( X ) ), domain( X ) ),
% 70.05/70.45 true ) ] )
% 70.05/70.45 , 0, clause( 131135, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 coantidomain( antidomain( X ) ) ), :=( Y, domain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131138, [ =( domain( X ), addition( coantidomain( antidomain( X ) )
% 70.05/70.45 , domain( X ) ) ) ] )
% 70.05/70.45 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.45 , 0, clause( 131137, [ =( domain( X ), ifeq( true, true, addition(
% 70.05/70.45 coantidomain( antidomain( X ) ), domain( X ) ), domain( X ) ) ) ] )
% 70.05/70.45 , 0, 3, substitution( 0, [ :=( X, true ), :=( Y, addition( coantidomain(
% 70.05/70.45 antidomain( X ) ), domain( X ) ) ), :=( Z, domain( X ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131139, [ =( addition( coantidomain( antidomain( X ) ), domain( X )
% 70.05/70.45 ), domain( X ) ) ] )
% 70.05/70.45 , clause( 131138, [ =( domain( X ), addition( coantidomain( antidomain( X )
% 70.05/70.45 ), domain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3142, [ =( addition( coantidomain( antidomain( X ) ), domain( X ) )
% 70.05/70.45 , domain( X ) ) ] )
% 70.05/70.45 , clause( 131139, [ =( addition( coantidomain( antidomain( X ) ), domain( X
% 70.05/70.45 ) ), domain( X ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131141, [ =( addition( one, Y ), addition( addition( antidomain( X
% 70.05/70.45 ), Y ), domain( X ) ) ) ] )
% 70.05/70.45 , clause( 191, [ =( addition( addition( antidomain( X ), Y ), domain( X ) )
% 70.05/70.45 , addition( one, Y ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131143, [ =( addition( one, antidomain( multiplication( X, domain(
% 70.05/70.45 Y ) ) ) ), addition( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.45 domain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.45 , clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.45 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.45 multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.45 , 0, clause( 131141, [ =( addition( one, Y ), addition( addition(
% 70.05/70.45 antidomain( X ), Y ), domain( X ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( X, Y ) ), :=( Y, antidomain( multiplication( X,
% 70.05/70.45 domain( Y ) ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131144, [ =( one, addition( antidomain( multiplication( X, domain(
% 70.05/70.45 Y ) ) ), domain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.45 , clause( 135, [ =( addition( one, antidomain( X ) ), one ) ] )
% 70.05/70.45 , 0, clause( 131143, [ =( addition( one, antidomain( multiplication( X,
% 70.05/70.45 domain( Y ) ) ) ), addition( antidomain( multiplication( X, domain( Y ) )
% 70.05/70.45 ), domain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, multiplication( X, domain( Y ) ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131145, [ =( addition( antidomain( multiplication( X, domain( Y ) )
% 70.05/70.45 ), domain( multiplication( X, Y ) ) ), one ) ] )
% 70.05/70.45 , clause( 131144, [ =( one, addition( antidomain( multiplication( X, domain(
% 70.05/70.45 Y ) ) ), domain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3246, [ =( addition( antidomain( multiplication( X, domain( Y ) ) )
% 70.05/70.45 , domain( multiplication( X, Y ) ) ), one ) ] )
% 70.05/70.45 , clause( 131145, [ =( addition( antidomain( multiplication( X, domain( Y )
% 70.05/70.45 ) ), domain( multiplication( X, Y ) ) ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131147, [ =( addition( X, one ), addition( addition( X, codomain( Y
% 70.05/70.45 ) ), coantidomain( Y ) ) ) ] )
% 70.05/70.45 , clause( 39, [ =( addition( addition( Y, codomain( X ) ), coantidomain( X
% 70.05/70.45 ) ), addition( Y, one ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131149, [ =( addition( domain( codomain( X ) ), one ), addition(
% 70.05/70.45 domain( codomain( X ) ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 631, [ =( addition( domain( codomain( X ) ), codomain( X ) ),
% 70.05/70.45 domain( codomain( X ) ) ) ] )
% 70.05/70.45 , 0, clause( 131147, [ =( addition( X, one ), addition( addition( X,
% 70.05/70.45 codomain( Y ) ), coantidomain( Y ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.45 codomain( X ) ) ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131150, [ =( one, addition( domain( codomain( X ) ), coantidomain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , clause( 144, [ =( addition( domain( X ), one ), one ) ] )
% 70.05/70.45 , 0, clause( 131149, [ =( addition( domain( codomain( X ) ), one ),
% 70.05/70.45 addition( domain( codomain( X ) ), coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, codomain( X ) )] ), substitution( 1, [
% 70.05/70.45 :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131151, [ =( addition( domain( codomain( X ) ), coantidomain( X ) )
% 70.05/70.45 , one ) ] )
% 70.05/70.45 , clause( 131150, [ =( one, addition( domain( codomain( X ) ), coantidomain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3265, [ =( addition( domain( codomain( X ) ), coantidomain( X ) ),
% 70.05/70.45 one ) ] )
% 70.05/70.45 , clause( 131151, [ =( addition( domain( codomain( X ) ), coantidomain( X )
% 70.05/70.45 ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131153, [ =( one, addition( domain( codomain( X ) ), coantidomain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , clause( 3265, [ =( addition( domain( codomain( X ) ), coantidomain( X ) )
% 70.05/70.45 , one ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131155, [ =( one, addition( domain( coantidomain( X ) ),
% 70.05/70.45 coantidomain( coantidomain( X ) ) ) ) ] )
% 70.05/70.45 , clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.45 )
% 70.05/70.45 , 0, clause( 131153, [ =( one, addition( domain( codomain( X ) ),
% 70.05/70.45 coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 coantidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131156, [ =( one, addition( domain( coantidomain( X ) ), codomain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.45 , 0, clause( 131155, [ =( one, addition( domain( coantidomain( X ) ),
% 70.05/70.45 coantidomain( coantidomain( X ) ) ) ) ] )
% 70.05/70.45 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.45 ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131157, [ =( addition( domain( coantidomain( X ) ), codomain( X ) )
% 70.05/70.45 , one ) ] )
% 70.05/70.45 , clause( 131156, [ =( one, addition( domain( coantidomain( X ) ), codomain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3268, [ =( addition( domain( coantidomain( X ) ), codomain( X ) ),
% 70.05/70.45 one ) ] )
% 70.05/70.45 , clause( 131157, [ =( addition( domain( coantidomain( X ) ), codomain( X )
% 70.05/70.45 ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131159, [ =( multiplication( Y, antidomain( X ) ), multiplication(
% 70.05/70.45 addition( domain( X ), Y ), antidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 80, [ =( multiplication( addition( domain( X ), Y ), antidomain(
% 70.05/70.45 X ) ), multiplication( Y, antidomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131161, [ =( multiplication( codomain( X ), antidomain(
% 70.05/70.45 coantidomain( X ) ) ), multiplication( one, antidomain( coantidomain( X )
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , clause( 3268, [ =( addition( domain( coantidomain( X ) ), codomain( X ) )
% 70.05/70.45 , one ) ] )
% 70.05/70.45 , 0, clause( 131159, [ =( multiplication( Y, antidomain( X ) ),
% 70.05/70.45 multiplication( addition( domain( X ), Y ), antidomain( X ) ) ) ] )
% 70.05/70.45 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 coantidomain( X ) ), :=( Y, codomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131162, [ =( multiplication( codomain( X ), antidomain(
% 70.05/70.45 coantidomain( X ) ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.45 , 0, clause( 131161, [ =( multiplication( codomain( X ), antidomain(
% 70.05/70.45 coantidomain( X ) ) ), multiplication( one, antidomain( coantidomain( X )
% 70.05/70.45 ) ) ) ] )
% 70.05/70.45 , 0, 7, substitution( 0, [ :=( X, antidomain( coantidomain( X ) ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3321, [ =( multiplication( codomain( X ), antidomain( coantidomain(
% 70.05/70.45 X ) ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.45 , clause( 131162, [ =( multiplication( codomain( X ), antidomain(
% 70.05/70.45 coantidomain( X ) ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131165, [ =( addition( one, Y ), addition( addition( coantidomain(
% 70.05/70.45 X ), Y ), codomain( X ) ) ) ] )
% 70.05/70.45 , clause( 195, [ =( addition( addition( coantidomain( X ), Y ), codomain( X
% 70.05/70.45 ) ), addition( one, Y ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131167, [ =( addition( one, coantidomain( multiplication( codomain(
% 70.05/70.45 X ), Y ) ) ), addition( coantidomain( multiplication( codomain( X ), Y )
% 70.05/70.45 ), codomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.45 , clause( 149, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.45 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.45 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.45 , 0, clause( 131165, [ =( addition( one, Y ), addition( addition(
% 70.05/70.45 coantidomain( X ), Y ), codomain( X ) ) ) ] )
% 70.05/70.45 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.45 :=( X, multiplication( X, Y ) ), :=( Y, coantidomain( multiplication(
% 70.05/70.45 codomain( X ), Y ) ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131168, [ =( one, addition( coantidomain( multiplication( codomain(
% 70.05/70.45 X ), Y ) ), codomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.45 , clause( 138, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.45 , 0, clause( 131167, [ =( addition( one, coantidomain( multiplication(
% 70.05/70.45 codomain( X ), Y ) ) ), addition( coantidomain( multiplication( codomain(
% 70.05/70.45 X ), Y ) ), codomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.45 , 0, 1, substitution( 0, [ :=( X, multiplication( codomain( X ), Y ) )] ),
% 70.05/70.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131169, [ =( addition( coantidomain( multiplication( codomain( X )
% 70.05/70.45 , Y ) ), codomain( multiplication( X, Y ) ) ), one ) ] )
% 70.05/70.45 , clause( 131168, [ =( one, addition( coantidomain( multiplication(
% 70.05/70.45 codomain( X ), Y ) ), codomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3381, [ =( addition( coantidomain( multiplication( codomain( X ), Y
% 70.05/70.45 ) ), codomain( multiplication( X, Y ) ) ), one ) ] )
% 70.05/70.45 , clause( 131169, [ =( addition( coantidomain( multiplication( codomain( X
% 70.05/70.45 ), Y ) ), codomain( multiplication( X, Y ) ) ), one ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.45 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131171, [ =( true, leq( multiplication( X, antidomain( Y ) ), X ) )
% 70.05/70.45 ] )
% 70.05/70.45 , clause( 604, [ =( leq( multiplication( X, antidomain( Y ) ), X ), true )
% 70.05/70.45 ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131172, [ =( true, leq( antidomain( coantidomain( X ) ), codomain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , clause( 3321, [ =( multiplication( codomain( X ), antidomain(
% 70.05/70.45 coantidomain( X ) ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, clause( 131171, [ =( true, leq( multiplication( X, antidomain( Y ) ),
% 70.05/70.45 X ) ) ] )
% 70.05/70.45 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 codomain( X ) ), :=( Y, coantidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131173, [ =( leq( antidomain( coantidomain( X ) ), codomain( X ) )
% 70.05/70.45 , true ) ] )
% 70.05/70.45 , clause( 131172, [ =( true, leq( antidomain( coantidomain( X ) ), codomain(
% 70.05/70.45 X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3395, [ =( leq( antidomain( coantidomain( X ) ), codomain( X ) ),
% 70.05/70.45 true ) ] )
% 70.05/70.45 , clause( 131173, [ =( leq( antidomain( coantidomain( X ) ), codomain( X )
% 70.05/70.45 ), true ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131175, [ =( X, addition( multiplication( X, antidomain( Y ) ), X )
% 70.05/70.45 ) ] )
% 70.05/70.45 , clause( 589, [ =( addition( multiplication( Y, antidomain( X ) ), Y ), Y
% 70.05/70.45 ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 paramod(
% 70.05/70.45 clause( 131176, [ =( codomain( X ), addition( antidomain( coantidomain( X )
% 70.05/70.45 ), codomain( X ) ) ) ] )
% 70.05/70.45 , clause( 3321, [ =( multiplication( codomain( X ), antidomain(
% 70.05/70.45 coantidomain( X ) ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.45 , 0, clause( 131175, [ =( X, addition( multiplication( X, antidomain( Y ) )
% 70.05/70.45 , X ) ) ] )
% 70.05/70.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.45 codomain( X ) ), :=( Y, coantidomain( X ) )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131177, [ =( addition( antidomain( coantidomain( X ) ), codomain( X
% 70.05/70.45 ) ), codomain( X ) ) ] )
% 70.05/70.45 , clause( 131176, [ =( codomain( X ), addition( antidomain( coantidomain( X
% 70.05/70.45 ) ), codomain( X ) ) ) ] )
% 70.05/70.45 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 subsumption(
% 70.05/70.45 clause( 3396, [ =( addition( antidomain( coantidomain( X ) ), codomain( X )
% 70.05/70.45 ), codomain( X ) ) ] )
% 70.05/70.45 , clause( 131177, [ =( addition( antidomain( coantidomain( X ) ), codomain(
% 70.05/70.45 X ) ), codomain( X ) ) ] )
% 70.05/70.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.45
% 70.05/70.45
% 70.05/70.45 eqswap(
% 70.05/70.45 clause( 131179, [ =( true, leq( antidomain( coantidomain( X ) ), codomain(
% 70.05/70.46 X ) ) ) ] )
% 70.05/70.46 , clause( 3395, [ =( leq( antidomain( coantidomain( X ) ), codomain( X ) )
% 70.05/70.46 , true ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131181, [ =( true, leq( antidomain( coantidomain( coantidomain( X )
% 70.05/70.46 ) ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, clause( 131179, [ =( true, leq( antidomain( coantidomain( X ) ),
% 70.05/70.46 codomain( X ) ) ) ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.46 coantidomain( X ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131182, [ =( true, leq( antidomain( codomain( X ) ), coantidomain(
% 70.05/70.46 X ) ) ) ] )
% 70.05/70.46 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131181, [ =( true, leq( antidomain( coantidomain( coantidomain(
% 70.05/70.46 X ) ) ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131183, [ =( leq( antidomain( codomain( X ) ), coantidomain( X ) )
% 70.05/70.46 , true ) ] )
% 70.05/70.46 , clause( 131182, [ =( true, leq( antidomain( codomain( X ) ), coantidomain(
% 70.05/70.46 X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 3398, [ =( leq( antidomain( codomain( X ) ), coantidomain( X ) ),
% 70.05/70.46 true ) ] )
% 70.05/70.46 , clause( 131183, [ =( leq( antidomain( codomain( X ) ), coantidomain( X )
% 70.05/70.46 ), true ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131185, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131187, [ =( coantidomain( X ), ifeq( true, true, addition(
% 70.05/70.46 antidomain( codomain( X ) ), coantidomain( X ) ), coantidomain( X ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 3398, [ =( leq( antidomain( codomain( X ) ), coantidomain( X ) )
% 70.05/70.46 , true ) ] )
% 70.05/70.46 , 0, clause( 131185, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 70.05/70.46 ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.46 antidomain( codomain( X ) ) ), :=( Y, coantidomain( X ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131188, [ =( coantidomain( X ), addition( antidomain( codomain( X )
% 70.05/70.46 ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.46 , 0, clause( 131187, [ =( coantidomain( X ), ifeq( true, true, addition(
% 70.05/70.46 antidomain( codomain( X ) ), coantidomain( X ) ), coantidomain( X ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, true ), :=( Y, addition( antidomain(
% 70.05/70.46 codomain( X ) ), coantidomain( X ) ) ), :=( Z, coantidomain( X ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131189, [ =( addition( antidomain( codomain( X ) ), coantidomain( X
% 70.05/70.46 ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , clause( 131188, [ =( coantidomain( X ), addition( antidomain( codomain( X
% 70.05/70.46 ) ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 3402, [ =( addition( antidomain( codomain( X ) ), coantidomain( X )
% 70.05/70.46 ), coantidomain( X ) ) ] )
% 70.05/70.46 , clause( 131189, [ =( addition( antidomain( codomain( X ) ), coantidomain(
% 70.05/70.46 X ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131191, [ =( zero, multiplication( multiplication( X, codomain(
% 70.05/70.46 antidomain( Y ) ) ), Y ) ) ] )
% 70.05/70.46 , clause( 2571, [ =( multiplication( multiplication( Y, codomain(
% 70.05/70.46 antidomain( X ) ) ), X ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131192, [ =( zero, multiplication( antidomain( coantidomain(
% 70.05/70.46 antidomain( X ) ) ), X ) ) ] )
% 70.05/70.46 , clause( 413, [ =( multiplication( antidomain( coantidomain( X ) ),
% 70.05/70.46 codomain( X ) ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, clause( 131191, [ =( zero, multiplication( multiplication( X, codomain(
% 70.05/70.46 antidomain( Y ) ) ), Y ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, antidomain( X ) )] ), substitution( 1, [
% 70.05/70.46 :=( X, antidomain( coantidomain( antidomain( X ) ) ) ), :=( Y, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131193, [ =( multiplication( antidomain( coantidomain( antidomain(
% 70.05/70.46 X ) ) ), X ), zero ) ] )
% 70.05/70.46 , clause( 131192, [ =( zero, multiplication( antidomain( coantidomain(
% 70.05/70.46 antidomain( X ) ) ), X ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 3561, [ =( multiplication( antidomain( coantidomain( antidomain( X
% 70.05/70.46 ) ) ), X ), zero ) ] )
% 70.05/70.46 , clause( 131193, [ =( multiplication( antidomain( coantidomain( antidomain(
% 70.05/70.46 X ) ) ), X ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131195, [ =( zero, multiplication( multiplication( X, Y ), domain(
% 70.05/70.46 coantidomain( Y ) ) ) ) ] )
% 70.05/70.46 , clause( 2093, [ =( multiplication( multiplication( Y, X ), domain(
% 70.05/70.46 coantidomain( X ) ) ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131199, [ =( zero, multiplication( multiplication( X,
% 70.05/70.46 multiplication( codomain( Y ), coantidomain( addition( Z, Y ) ) ) ),
% 70.05/70.46 domain( one ) ) ) ] )
% 70.05/70.46 , clause( 2536, [ =( coantidomain( multiplication( codomain( X ),
% 70.05/70.46 coantidomain( addition( Y, X ) ) ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131195, [ =( zero, multiplication( multiplication( X, Y ),
% 70.05/70.46 domain( coantidomain( Y ) ) ) ) ] )
% 70.05/70.46 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, multiplication( codomain( Y ), coantidomain( addition(
% 70.05/70.46 Z, Y ) ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131200, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.46 X, codomain( Y ) ), coantidomain( addition( Z, Y ) ) ), domain( one ) ) )
% 70.05/70.46 ] )
% 70.05/70.46 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.46 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.46 , 0, clause( 131199, [ =( zero, multiplication( multiplication( X,
% 70.05/70.46 multiplication( codomain( Y ), coantidomain( addition( Z, Y ) ) ) ),
% 70.05/70.46 domain( one ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, codomain( Y ) ), :=( Z,
% 70.05/70.46 coantidomain( addition( Z, Y ) ) )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131201, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.46 X, codomain( Y ) ), coantidomain( addition( Z, Y ) ) ), one ) ) ] )
% 70.05/70.46 , clause( 1006, [ =( domain( one ), one ) ] )
% 70.05/70.46 , 0, clause( 131200, [ =( zero, multiplication( multiplication(
% 70.05/70.46 multiplication( X, codomain( Y ) ), coantidomain( addition( Z, Y ) ) ),
% 70.05/70.46 domain( one ) ) ) ] )
% 70.05/70.46 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 70.05/70.46 :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131202, [ =( zero, multiplication( multiplication( X, codomain( Y )
% 70.05/70.46 ), coantidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131201, [ =( zero, multiplication( multiplication(
% 70.05/70.46 multiplication( X, codomain( Y ) ), coantidomain( addition( Z, Y ) ) ),
% 70.05/70.46 one ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, multiplication( multiplication( X,
% 70.05/70.46 codomain( Y ) ), coantidomain( addition( Z, Y ) ) ) )] ), substitution( 1
% 70.05/70.46 , [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131203, [ =( multiplication( multiplication( X, codomain( Y ) ),
% 70.05/70.46 coantidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131202, [ =( zero, multiplication( multiplication( X, codomain( Y
% 70.05/70.46 ) ), coantidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 3882, [ =( multiplication( multiplication( Z, codomain( X ) ),
% 70.05/70.46 coantidomain( addition( Y, X ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131203, [ =( multiplication( multiplication( X, codomain( Y ) ),
% 70.05/70.46 coantidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131205, [ =( zero, multiplication( X, domain( coantidomain( X ) ) )
% 70.05/70.46 ) ] )
% 70.05/70.46 , clause( 2100, [ =( multiplication( X, domain( coantidomain( X ) ) ), zero
% 70.05/70.46 ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131208, [ =( zero, multiplication( multiplication( codomain( X ),
% 70.05/70.46 coantidomain( addition( Y, X ) ) ), domain( one ) ) ) ] )
% 70.05/70.46 , clause( 2536, [ =( coantidomain( multiplication( codomain( X ),
% 70.05/70.46 coantidomain( addition( Y, X ) ) ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131205, [ =( zero, multiplication( X, domain( coantidomain( X
% 70.05/70.46 ) ) ) ) ] )
% 70.05/70.46 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, multiplication( codomain( X ), coantidomain( addition( Y, X ) ) )
% 70.05/70.46 )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131209, [ =( zero, multiplication( multiplication( codomain( X ),
% 70.05/70.46 coantidomain( addition( Y, X ) ) ), one ) ) ] )
% 70.05/70.46 , clause( 1006, [ =( domain( one ), one ) ] )
% 70.05/70.46 , 0, clause( 131208, [ =( zero, multiplication( multiplication( codomain( X
% 70.05/70.46 ), coantidomain( addition( Y, X ) ) ), domain( one ) ) ) ] )
% 70.05/70.46 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131210, [ =( zero, multiplication( codomain( X ), coantidomain(
% 70.05/70.46 addition( Y, X ) ) ) ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131209, [ =( zero, multiplication( multiplication( codomain( X
% 70.05/70.46 ), coantidomain( addition( Y, X ) ) ), one ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, multiplication( codomain( X ),
% 70.05/70.46 coantidomain( addition( Y, X ) ) ) )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131211, [ =( multiplication( codomain( X ), coantidomain( addition(
% 70.05/70.46 Y, X ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131210, [ =( zero, multiplication( codomain( X ), coantidomain(
% 70.05/70.46 addition( Y, X ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 3884, [ =( multiplication( codomain( X ), coantidomain( addition( Y
% 70.05/70.46 , X ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131211, [ =( multiplication( codomain( X ), coantidomain(
% 70.05/70.46 addition( Y, X ) ) ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131213, [ =( multiplication( X, Z ), ifeq( leq( multiplication( X,
% 70.05/70.46 Y ), multiplication( X, Z ) ), true, multiplication( X, addition( Y, Z )
% 70.05/70.46 ), multiplication( X, Z ) ) ) ] )
% 70.05/70.46 , clause( 102, [ =( ifeq( leq( multiplication( X, Y ), multiplication( X, Z
% 70.05/70.46 ) ), true, multiplication( X, addition( Y, Z ) ), multiplication( X, Z )
% 70.05/70.46 ), multiplication( X, Z ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131219, [ =( multiplication( codomain( X ), Y ), ifeq( leq( zero,
% 70.05/70.46 multiplication( codomain( X ), Y ) ), true, multiplication( codomain( X )
% 70.05/70.46 , addition( coantidomain( addition( Z, X ) ), Y ) ), multiplication(
% 70.05/70.46 codomain( X ), Y ) ) ) ] )
% 70.05/70.46 , clause( 3884, [ =( multiplication( codomain( X ), coantidomain( addition(
% 70.05/70.46 Y, X ) ) ), zero ) ] )
% 70.05/70.46 , 0, clause( 131213, [ =( multiplication( X, Z ), ifeq( leq( multiplication(
% 70.05/70.46 X, Y ), multiplication( X, Z ) ), true, multiplication( X, addition( Y, Z
% 70.05/70.46 ) ), multiplication( X, Z ) ) ) ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 70.05/70.46 :=( X, codomain( X ) ), :=( Y, coantidomain( addition( Z, X ) ) ), :=( Z
% 70.05/70.46 , Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131224, [ =( multiplication( codomain( X ), Y ), ifeq( true, true,
% 70.05/70.46 multiplication( codomain( X ), addition( coantidomain( addition( Z, X ) )
% 70.05/70.46 , Y ) ), multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.46 , clause( 121, [ =( leq( zero, X ), true ) ] )
% 70.05/70.46 , 0, clause( 131219, [ =( multiplication( codomain( X ), Y ), ifeq( leq(
% 70.05/70.46 zero, multiplication( codomain( X ), Y ) ), true, multiplication(
% 70.05/70.46 codomain( X ), addition( coantidomain( addition( Z, X ) ), Y ) ),
% 70.05/70.46 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, multiplication( codomain( X ), Y ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131225, [ =( multiplication( codomain( X ), Y ), multiplication(
% 70.05/70.46 codomain( X ), addition( coantidomain( addition( Z, X ) ), Y ) ) ) ] )
% 70.05/70.46 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.46 , 0, clause( 131224, [ =( multiplication( codomain( X ), Y ), ifeq( true,
% 70.05/70.46 true, multiplication( codomain( X ), addition( coantidomain( addition( Z
% 70.05/70.46 , X ) ), Y ) ), multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, true ), :=( Y, multiplication( codomain(
% 70.05/70.46 X ), addition( coantidomain( addition( Z, X ) ), Y ) ) ), :=( Z,
% 70.05/70.46 multiplication( codomain( X ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131226, [ =( multiplication( codomain( X ), addition( coantidomain(
% 70.05/70.46 addition( Z, X ) ), Y ) ), multiplication( codomain( X ), Y ) ) ] )
% 70.05/70.46 , clause( 131225, [ =( multiplication( codomain( X ), Y ), multiplication(
% 70.05/70.46 codomain( X ), addition( coantidomain( addition( Z, X ) ), Y ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 3906, [ =( multiplication( codomain( X ), addition( coantidomain(
% 70.05/70.46 addition( Y, X ) ), Z ) ), multiplication( codomain( X ), Z ) ) ] )
% 70.05/70.46 , clause( 131226, [ =( multiplication( codomain( X ), addition(
% 70.05/70.46 coantidomain( addition( Z, X ) ), Y ) ), multiplication( codomain( X ), Y
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131227, [ =( zero, multiplication( codomain( X ), coantidomain(
% 70.05/70.46 addition( Y, X ) ) ) ) ] )
% 70.05/70.46 , clause( 3884, [ =( multiplication( codomain( X ), coantidomain( addition(
% 70.05/70.46 Y, X ) ) ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131228, [ =( zero, multiplication( codomain( X ), coantidomain(
% 70.05/70.46 addition( X, Y ) ) ) ) ] )
% 70.05/70.46 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.46 , 0, clause( 131227, [ =( zero, multiplication( codomain( X ), coantidomain(
% 70.05/70.46 addition( Y, X ) ) ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131231, [ =( multiplication( codomain( X ), coantidomain( addition(
% 70.05/70.46 X, Y ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131228, [ =( zero, multiplication( codomain( X ), coantidomain(
% 70.05/70.46 addition( X, Y ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 3926, [ =( multiplication( codomain( Y ), coantidomain( addition( Y
% 70.05/70.46 , X ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131231, [ =( multiplication( codomain( X ), coantidomain(
% 70.05/70.46 addition( X, Y ) ) ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131233, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.46 X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ] )
% 70.05/70.46 , clause( 71, [ =( multiplication( multiplication( multiplication( X,
% 70.05/70.46 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131236, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.46 X, antidomain( zero ) ), codomain( Y ) ), coantidomain( addition( Y, Z )
% 70.05/70.46 ) ) ) ] )
% 70.05/70.46 , clause( 3926, [ =( multiplication( codomain( Y ), coantidomain( addition(
% 70.05/70.46 Y, X ) ) ), zero ) ] )
% 70.05/70.46 , 0, clause( 131233, [ =( zero, multiplication( multiplication(
% 70.05/70.46 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, codomain( Y ) ), :=( Z, coantidomain( addition( Y, Z )
% 70.05/70.46 ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131237, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.46 X, one ), codomain( Y ) ), coantidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.46 , clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.46 , 0, clause( 131236, [ =( zero, multiplication( multiplication(
% 70.05/70.46 multiplication( X, antidomain( zero ) ), codomain( Y ) ), coantidomain(
% 70.05/70.46 addition( Y, Z ) ) ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 70.05/70.46 :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131238, [ =( zero, multiplication( multiplication( X, codomain( Y )
% 70.05/70.46 ), coantidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131237, [ =( zero, multiplication( multiplication(
% 70.05/70.46 multiplication( X, one ), codomain( Y ) ), coantidomain( addition( Y, Z )
% 70.05/70.46 ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131239, [ =( multiplication( multiplication( X, codomain( Y ) ),
% 70.05/70.46 coantidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131238, [ =( zero, multiplication( multiplication( X, codomain( Y
% 70.05/70.46 ) ), coantidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 3935, [ =( multiplication( multiplication( Z, codomain( X ) ),
% 70.05/70.46 coantidomain( addition( X, Y ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131239, [ =( multiplication( multiplication( X, codomain( Y ) ),
% 70.05/70.46 coantidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131241, [ =( zero, multiplication( antidomain( coantidomain(
% 70.05/70.46 antidomain( X ) ) ), X ) ) ] )
% 70.05/70.46 , clause( 3561, [ =( multiplication( antidomain( coantidomain( antidomain(
% 70.05/70.46 X ) ) ), X ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131246, [ =( zero, multiplication( antidomain( coantidomain( one )
% 70.05/70.46 ), multiplication( antidomain( addition( X, Y ) ), domain( X ) ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 2074, [ =( antidomain( multiplication( antidomain( addition( X, Y
% 70.05/70.46 ) ), domain( X ) ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131241, [ =( zero, multiplication( antidomain( coantidomain(
% 70.05/70.46 antidomain( X ) ) ), X ) ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, multiplication( antidomain( addition( X, Y ) ), domain( X ) ) )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131247, [ =( zero, multiplication( multiplication( antidomain(
% 70.05/70.46 coantidomain( one ) ), antidomain( addition( X, Y ) ) ), domain( X ) ) )
% 70.05/70.46 ] )
% 70.05/70.46 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.46 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.46 , 0, clause( 131246, [ =( zero, multiplication( antidomain( coantidomain(
% 70.05/70.46 one ) ), multiplication( antidomain( addition( X, Y ) ), domain( X ) ) )
% 70.05/70.46 ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, antidomain( coantidomain( one ) ) ), :=(
% 70.05/70.46 Y, antidomain( addition( X, Y ) ) ), :=( Z, domain( X ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131248, [ =( zero, multiplication( multiplication( antidomain( zero
% 70.05/70.46 ), antidomain( addition( X, Y ) ) ), domain( X ) ) ) ] )
% 70.05/70.46 , clause( 26, [ =( coantidomain( one ), zero ) ] )
% 70.05/70.46 , 0, clause( 131247, [ =( zero, multiplication( multiplication( antidomain(
% 70.05/70.46 coantidomain( one ) ), antidomain( addition( X, Y ) ) ), domain( X ) ) )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131249, [ =( zero, multiplication( multiplication( one, antidomain(
% 70.05/70.46 addition( X, Y ) ) ), domain( X ) ) ) ] )
% 70.05/70.46 , clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.46 , 0, clause( 131248, [ =( zero, multiplication( multiplication( antidomain(
% 70.05/70.46 zero ), antidomain( addition( X, Y ) ) ), domain( X ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131250, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.46 domain( X ) ) ) ] )
% 70.05/70.46 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.46 , 0, clause( 131249, [ =( zero, multiplication( multiplication( one,
% 70.05/70.46 antidomain( addition( X, Y ) ) ), domain( X ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, antidomain( addition( X, Y ) ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131251, [ =( multiplication( antidomain( addition( X, Y ) ), domain(
% 70.05/70.46 X ) ), zero ) ] )
% 70.05/70.46 , clause( 131250, [ =( zero, multiplication( antidomain( addition( X, Y ) )
% 70.05/70.46 , domain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 4137, [ =( multiplication( antidomain( addition( X, Y ) ), domain(
% 70.05/70.46 X ) ), zero ) ] )
% 70.05/70.46 , clause( 131251, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.46 domain( X ) ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131253, [ =( multiplication( Z, Y ), ifeq( leq( multiplication( X,
% 70.05/70.46 Y ), multiplication( Z, Y ) ), true, multiplication( addition( X, Z ), Y
% 70.05/70.46 ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.46 , clause( 100, [ =( ifeq( leq( multiplication( X, Y ), multiplication( Z, Y
% 70.05/70.46 ) ), true, multiplication( addition( X, Z ), Y ), multiplication( Z, Y )
% 70.05/70.46 ), multiplication( Z, Y ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131259, [ =( multiplication( X, domain( Y ) ), ifeq( leq( zero,
% 70.05/70.46 multiplication( X, domain( Y ) ) ), true, multiplication( addition(
% 70.05/70.46 antidomain( addition( Y, Z ) ), X ), domain( Y ) ), multiplication( X,
% 70.05/70.46 domain( Y ) ) ) ) ] )
% 70.05/70.46 , clause( 4137, [ =( multiplication( antidomain( addition( X, Y ) ), domain(
% 70.05/70.46 X ) ), zero ) ] )
% 70.05/70.46 , 0, clause( 131253, [ =( multiplication( Z, Y ), ifeq( leq( multiplication(
% 70.05/70.46 X, Y ), multiplication( Z, Y ) ), true, multiplication( addition( X, Z )
% 70.05/70.46 , Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 70.05/70.46 :=( X, antidomain( addition( Y, Z ) ) ), :=( Y, domain( Y ) ), :=( Z, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131264, [ =( multiplication( X, domain( Y ) ), ifeq( true, true,
% 70.05/70.46 multiplication( addition( antidomain( addition( Y, Z ) ), X ), domain( Y
% 70.05/70.46 ) ), multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.46 , clause( 121, [ =( leq( zero, X ), true ) ] )
% 70.05/70.46 , 0, clause( 131259, [ =( multiplication( X, domain( Y ) ), ifeq( leq( zero
% 70.05/70.46 , multiplication( X, domain( Y ) ) ), true, multiplication( addition(
% 70.05/70.46 antidomain( addition( Y, Z ) ), X ), domain( Y ) ), multiplication( X,
% 70.05/70.46 domain( Y ) ) ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, multiplication( X, domain( Y ) ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131265, [ =( multiplication( X, domain( Y ) ), multiplication(
% 70.05/70.46 addition( antidomain( addition( Y, Z ) ), X ), domain( Y ) ) ) ] )
% 70.05/70.46 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.46 , 0, clause( 131264, [ =( multiplication( X, domain( Y ) ), ifeq( true,
% 70.05/70.46 true, multiplication( addition( antidomain( addition( Y, Z ) ), X ),
% 70.05/70.46 domain( Y ) ), multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, true ), :=( Y, multiplication( addition(
% 70.05/70.46 antidomain( addition( Y, Z ) ), X ), domain( Y ) ) ), :=( Z,
% 70.05/70.46 multiplication( X, domain( Y ) ) )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131266, [ =( multiplication( addition( antidomain( addition( Y, Z )
% 70.05/70.46 ), X ), domain( Y ) ), multiplication( X, domain( Y ) ) ) ] )
% 70.05/70.46 , clause( 131265, [ =( multiplication( X, domain( Y ) ), multiplication(
% 70.05/70.46 addition( antidomain( addition( Y, Z ) ), X ), domain( Y ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 4166, [ =( multiplication( addition( antidomain( addition( X, Y ) )
% 70.05/70.46 , Z ), domain( X ) ), multiplication( Z, domain( X ) ) ) ] )
% 70.05/70.46 , clause( 131266, [ =( multiplication( addition( antidomain( addition( Y, Z
% 70.05/70.46 ) ), X ), domain( Y ) ), multiplication( X, domain( Y ) ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131267, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.46 domain( X ) ) ) ] )
% 70.05/70.46 , clause( 4137, [ =( multiplication( antidomain( addition( X, Y ) ), domain(
% 70.05/70.46 X ) ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131268, [ =( zero, multiplication( antidomain( addition( Y, X ) ),
% 70.05/70.46 domain( X ) ) ) ] )
% 70.05/70.46 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.46 , 0, clause( 131267, [ =( zero, multiplication( antidomain( addition( X, Y
% 70.05/70.46 ) ), domain( X ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131271, [ =( multiplication( antidomain( addition( X, Y ) ), domain(
% 70.05/70.46 Y ) ), zero ) ] )
% 70.05/70.46 , clause( 131268, [ =( zero, multiplication( antidomain( addition( Y, X ) )
% 70.05/70.46 , domain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 4188, [ =( multiplication( antidomain( addition( Y, X ) ), domain(
% 70.05/70.46 X ) ), zero ) ] )
% 70.05/70.46 , clause( 131271, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.46 domain( Y ) ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131273, [ =( multiplication( X, addition( multiplication( Y, Z ),
% 70.05/70.46 one ) ), addition( multiplication( multiplication( X, Y ), Z ), X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 237, [ =( addition( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.46 X ), multiplication( X, addition( multiplication( Y, Z ), one ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131278, [ =( multiplication( domain( X ), addition( multiplication(
% 70.05/70.46 X, Y ), one ) ), addition( multiplication( X, Y ), domain( X ) ) ) ] )
% 70.05/70.46 , clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.46 , 0, clause( 131273, [ =( multiplication( X, addition( multiplication( Y, Z
% 70.05/70.46 ), one ) ), addition( multiplication( multiplication( X, Y ), Z ), X ) )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.46 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 4834, [ =( multiplication( domain( X ), addition( multiplication( X
% 70.05/70.46 , Y ), one ) ), addition( multiplication( X, Y ), domain( X ) ) ) ] )
% 70.05/70.46 , clause( 131278, [ =( multiplication( domain( X ), addition(
% 70.05/70.46 multiplication( X, Y ), one ) ), addition( multiplication( X, Y ), domain(
% 70.05/70.46 X ) ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131283, [ =( zero, multiplication( multiplication( X, Y ), domain(
% 70.05/70.46 coantidomain( Y ) ) ) ) ] )
% 70.05/70.46 , clause( 2093, [ =( multiplication( multiplication( Y, X ), domain(
% 70.05/70.46 coantidomain( X ) ) ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131287, [ =( zero, multiplication( multiplication( X,
% 70.05/70.46 multiplication( codomain( multiplication( Y, antidomain( Z ) ) ), Z ) ),
% 70.05/70.46 domain( one ) ) ) ] )
% 70.05/70.46 , clause( 2567, [ =( coantidomain( multiplication( codomain( multiplication(
% 70.05/70.46 X, antidomain( Y ) ) ), Y ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131283, [ =( zero, multiplication( multiplication( X, Y ),
% 70.05/70.46 domain( coantidomain( Y ) ) ) ) ] )
% 70.05/70.46 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, multiplication( codomain( multiplication( Y,
% 70.05/70.46 antidomain( Z ) ) ), Z ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131288, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.46 X, codomain( multiplication( Y, antidomain( Z ) ) ) ), Z ), domain( one )
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.46 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.46 , 0, clause( 131287, [ =( zero, multiplication( multiplication( X,
% 70.05/70.46 multiplication( codomain( multiplication( Y, antidomain( Z ) ) ), Z ) ),
% 70.05/70.46 domain( one ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, codomain( multiplication( Y,
% 70.05/70.46 antidomain( Z ) ) ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=(
% 70.05/70.46 Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131289, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.46 X, codomain( multiplication( Y, antidomain( Z ) ) ) ), Z ), one ) ) ] )
% 70.05/70.46 , clause( 1006, [ =( domain( one ), one ) ] )
% 70.05/70.46 , 0, clause( 131288, [ =( zero, multiplication( multiplication(
% 70.05/70.46 multiplication( X, codomain( multiplication( Y, antidomain( Z ) ) ) ), Z
% 70.05/70.46 ), domain( one ) ) ) ] )
% 70.05/70.46 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 70.05/70.46 :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131290, [ =( zero, multiplication( multiplication( X, codomain(
% 70.05/70.46 multiplication( Y, antidomain( Z ) ) ) ), Z ) ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131289, [ =( zero, multiplication( multiplication(
% 70.05/70.46 multiplication( X, codomain( multiplication( Y, antidomain( Z ) ) ) ), Z
% 70.05/70.46 ), one ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, multiplication( multiplication( X,
% 70.05/70.46 codomain( multiplication( Y, antidomain( Z ) ) ) ), Z ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131291, [ =( multiplication( multiplication( X, codomain(
% 70.05/70.46 multiplication( Y, antidomain( Z ) ) ) ), Z ), zero ) ] )
% 70.05/70.46 , clause( 131290, [ =( zero, multiplication( multiplication( X, codomain(
% 70.05/70.46 multiplication( Y, antidomain( Z ) ) ) ), Z ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 4933, [ =( multiplication( multiplication( Z, codomain(
% 70.05/70.46 multiplication( X, antidomain( Y ) ) ) ), Y ), zero ) ] )
% 70.05/70.46 , clause( 131291, [ =( multiplication( multiplication( X, codomain(
% 70.05/70.46 multiplication( Y, antidomain( Z ) ) ) ), Z ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131293, [ =( zero, multiplication( multiplication( codomain( X ), Y
% 70.05/70.46 ), coantidomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.46 , clause( 2561, [ =( multiplication( multiplication( codomain( X ), Y ),
% 70.05/70.46 coantidomain( multiplication( X, Y ) ) ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131297, [ =( zero, multiplication( multiplication( codomain(
% 70.05/70.46 multiplication( antidomain( multiplication( X, Y ) ), X ) ), Y ),
% 70.05/70.46 coantidomain( zero ) ) ) ] )
% 70.05/70.46 , clause( 44, [ =( multiplication( multiplication( antidomain(
% 70.05/70.46 multiplication( X, Y ) ), X ), Y ), zero ) ] )
% 70.05/70.46 , 0, clause( 131293, [ =( zero, multiplication( multiplication( codomain( X
% 70.05/70.46 ), Y ), coantidomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.46 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, multiplication( antidomain( multiplication( X, Y ) ), X ) ), :=( Y
% 70.05/70.46 , Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131298, [ =( zero, multiplication( multiplication( codomain(
% 70.05/70.46 multiplication( antidomain( multiplication( X, Y ) ), X ) ), Y ), one ) )
% 70.05/70.46 ] )
% 70.05/70.46 , clause( 41, [ =( coantidomain( zero ), one ) ] )
% 70.05/70.46 , 0, clause( 131297, [ =( zero, multiplication( multiplication( codomain(
% 70.05/70.46 multiplication( antidomain( multiplication( X, Y ) ), X ) ), Y ),
% 70.05/70.46 coantidomain( zero ) ) ) ] )
% 70.05/70.46 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131299, [ =( zero, multiplication( codomain( multiplication(
% 70.05/70.46 antidomain( multiplication( X, Y ) ), X ) ), Y ) ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131298, [ =( zero, multiplication( multiplication( codomain(
% 70.05/70.46 multiplication( antidomain( multiplication( X, Y ) ), X ) ), Y ), one ) )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, multiplication( codomain( multiplication(
% 70.05/70.46 antidomain( multiplication( X, Y ) ), X ) ), Y ) )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131300, [ =( multiplication( codomain( multiplication( antidomain(
% 70.05/70.46 multiplication( X, Y ) ), X ) ), Y ), zero ) ] )
% 70.05/70.46 , clause( 131299, [ =( zero, multiplication( codomain( multiplication(
% 70.05/70.46 antidomain( multiplication( X, Y ) ), X ) ), Y ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 6912, [ =( multiplication( codomain( multiplication( antidomain(
% 70.05/70.46 multiplication( X, Y ) ), X ) ), Y ), zero ) ] )
% 70.05/70.46 , clause( 131300, [ =( multiplication( codomain( multiplication( antidomain(
% 70.05/70.46 multiplication( X, Y ) ), X ) ), Y ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131302, [ =( multiplication( Z, Y ), multiplication( addition(
% 70.05/70.46 antidomain( addition( X, Y ) ), Z ), Y ) ) ] )
% 70.05/70.46 , clause( 390, [ =( multiplication( addition( antidomain( addition( X, Y )
% 70.05/70.46 ), Z ), Y ), multiplication( Z, Y ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131304, [ =( multiplication( domain( addition( X, Y ) ), Y ),
% 70.05/70.46 multiplication( one, Y ) ) ] )
% 70.05/70.46 , clause( 94, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131302, [ =( multiplication( Z, Y ), multiplication( addition(
% 70.05/70.46 antidomain( addition( X, Y ) ), Z ), Y ) ) ] )
% 70.05/70.46 , 0, 8, substitution( 0, [ :=( X, addition( X, Y ) )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, Y ), :=( Z, domain( addition( X, Y ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131306, [ =( multiplication( domain( addition( X, Y ) ), Y ), Y ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.46 , 0, clause( 131304, [ =( multiplication( domain( addition( X, Y ) ), Y ),
% 70.05/70.46 multiplication( one, Y ) ) ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 11152, [ =( multiplication( domain( addition( X, Y ) ), Y ), Y ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 131306, [ =( multiplication( domain( addition( X, Y ) ), Y ), Y )
% 70.05/70.46 ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131309, [ =( Y, multiplication( domain( addition( X, Y ) ), Y ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 11152, [ =( multiplication( domain( addition( X, Y ) ), Y ), Y )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131311, [ =( multiplication( codomain( X ), Y ), multiplication(
% 70.05/70.46 domain( Y ), multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.46 , clause( 1099, [ =( addition( Y, multiplication( codomain( X ), Y ) ), Y )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, clause( 131309, [ =( Y, multiplication( domain( addition( X, Y ) ), Y
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, Y ), :=( Y, multiplication( codomain( X ), Y ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131312, [ =( multiplication( codomain( X ), Y ), multiplication(
% 70.05/70.46 multiplication( domain( Y ), codomain( X ) ), Y ) ) ] )
% 70.05/70.46 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.46 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.46 , 0, clause( 131311, [ =( multiplication( codomain( X ), Y ),
% 70.05/70.46 multiplication( domain( Y ), multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, domain( Y ) ), :=( Y, codomain( X ) ),
% 70.05/70.46 :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131313, [ =( multiplication( multiplication( domain( Y ), codomain(
% 70.05/70.46 X ) ), Y ), multiplication( codomain( X ), Y ) ) ] )
% 70.05/70.46 , clause( 131312, [ =( multiplication( codomain( X ), Y ), multiplication(
% 70.05/70.46 multiplication( domain( Y ), codomain( X ) ), Y ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 11227, [ =( multiplication( multiplication( domain( X ), codomain(
% 70.05/70.46 Y ) ), X ), multiplication( codomain( Y ), X ) ) ] )
% 70.05/70.46 , clause( 131313, [ =( multiplication( multiplication( domain( Y ),
% 70.05/70.46 codomain( X ) ), Y ), multiplication( codomain( X ), Y ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131315, [ =( true, leq( multiplication( X, antidomain( Y ) ), X ) )
% 70.05/70.46 ] )
% 70.05/70.46 , clause( 604, [ =( leq( multiplication( X, antidomain( Y ) ), X ), true )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131316, [ =( true, leq( antidomain( Y ), domain( addition( X,
% 70.05/70.46 antidomain( Y ) ) ) ) ) ] )
% 70.05/70.46 , clause( 11152, [ =( multiplication( domain( addition( X, Y ) ), Y ), Y )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, clause( 131315, [ =( true, leq( multiplication( X, antidomain( Y ) ),
% 70.05/70.46 X ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, antidomain( Y ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, domain( addition( X, antidomain( Y ) ) ) ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131317, [ =( leq( antidomain( X ), domain( addition( Y, antidomain(
% 70.05/70.46 X ) ) ) ), true ) ] )
% 70.05/70.46 , clause( 131316, [ =( true, leq( antidomain( Y ), domain( addition( X,
% 70.05/70.46 antidomain( Y ) ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 11238, [ =( leq( antidomain( Y ), domain( addition( X, antidomain(
% 70.05/70.46 Y ) ) ) ), true ) ] )
% 70.05/70.46 , clause( 131317, [ =( leq( antidomain( X ), domain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ), true ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131318, [ =( Y, multiplication( domain( addition( X, Y ) ), Y ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 11152, [ =( multiplication( domain( addition( X, Y ) ), Y ), Y )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131319, [ =( X, multiplication( domain( addition( X, Y ) ), X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.46 , 0, clause( 131318, [ =( Y, multiplication( domain( addition( X, Y ) ), Y
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.46 :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131322, [ =( multiplication( domain( addition( X, Y ) ), X ), X ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 131319, [ =( X, multiplication( domain( addition( X, Y ) ), X ) )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 11254, [ =( multiplication( domain( addition( Y, X ) ), Y ), Y ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 131322, [ =( multiplication( domain( addition( X, Y ) ), X ), X )
% 70.05/70.46 ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131324, [ =( X, multiplication( domain( addition( X, Y ) ), X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 11254, [ =( multiplication( domain( addition( Y, X ) ), Y ), Y )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131330, [ =( antidomain( multiplication( X, Y ) ), multiplication(
% 70.05/70.46 domain( antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.46 multiplication( X, Y ) ) ) ) ] )
% 70.05/70.46 , clause( 130, [ =( addition( antidomain( multiplication( X, Y ) ),
% 70.05/70.46 antidomain( multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.46 multiplication( X, domain( Y ) ) ) ) ] )
% 70.05/70.46 , 0, clause( 131324, [ =( X, multiplication( domain( addition( X, Y ) ), X
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, antidomain( multiplication( X, Y ) ) ), :=( Y, antidomain(
% 70.05/70.46 multiplication( X, domain( Y ) ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131331, [ =( antidomain( multiplication( X, Y ) ), multiplication(
% 70.05/70.46 antidomain( multiplication( X, domain( Y ) ) ), antidomain(
% 70.05/70.46 multiplication( X, Y ) ) ) ) ] )
% 70.05/70.46 , clause( 1005, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131330, [ =( antidomain( multiplication( X, Y ) ),
% 70.05/70.46 multiplication( domain( antidomain( multiplication( X, domain( Y ) ) ) )
% 70.05/70.46 , antidomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, multiplication( X, domain( Y ) ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131332, [ =( multiplication( antidomain( multiplication( X, domain(
% 70.05/70.46 Y ) ) ), antidomain( multiplication( X, Y ) ) ), antidomain(
% 70.05/70.46 multiplication( X, Y ) ) ) ] )
% 70.05/70.46 , clause( 131331, [ =( antidomain( multiplication( X, Y ) ), multiplication(
% 70.05/70.46 antidomain( multiplication( X, domain( Y ) ) ), antidomain(
% 70.05/70.46 multiplication( X, Y ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 11313, [ =( multiplication( antidomain( multiplication( X, domain(
% 70.05/70.46 Y ) ) ), antidomain( multiplication( X, Y ) ) ), antidomain(
% 70.05/70.46 multiplication( X, Y ) ) ) ] )
% 70.05/70.46 , clause( 131332, [ =( multiplication( antidomain( multiplication( X,
% 70.05/70.46 domain( Y ) ) ), antidomain( multiplication( X, Y ) ) ), antidomain(
% 70.05/70.46 multiplication( X, Y ) ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131334, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.46 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.46 , clause( 10, [ =( addition( multiplication( X, Z ), multiplication( Y, Z )
% 70.05/70.46 ), multiplication( addition( X, Y ), Z ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131338, [ =( multiplication( addition( X, domain( addition( Y, Z )
% 70.05/70.46 ) ), Y ), addition( multiplication( X, Y ), Y ) ) ] )
% 70.05/70.46 , clause( 11254, [ =( multiplication( domain( addition( Y, X ) ), Y ), Y )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, clause( 131334, [ =( multiplication( addition( X, Z ), Y ), addition(
% 70.05/70.46 multiplication( X, Y ), multiplication( Z, Y ) ) ) ] )
% 70.05/70.46 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, Y ), :=( Z, domain( addition( Y, Z ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 11334, [ =( multiplication( addition( Z, domain( addition( X, Y ) )
% 70.05/70.46 ), X ), addition( multiplication( Z, X ), X ) ) ] )
% 70.05/70.46 , clause( 131338, [ =( multiplication( addition( X, domain( addition( Y, Z
% 70.05/70.46 ) ) ), Y ), addition( multiplication( X, Y ), Y ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131342, [ =( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.46 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 70.05/70.46 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.46 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131347, [ =( multiplication( multiplication( X, domain( addition( Y
% 70.05/70.46 , Z ) ) ), Y ), multiplication( X, Y ) ) ] )
% 70.05/70.46 , clause( 11254, [ =( multiplication( domain( addition( Y, X ) ), Y ), Y )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, clause( 131342, [ =( multiplication( multiplication( X, Y ), Z ),
% 70.05/70.46 multiplication( X, multiplication( Y, Z ) ) ) ] )
% 70.05/70.46 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, domain( addition( Y, Z ) ) ), :=( Z, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 11338, [ =( multiplication( multiplication( Z, domain( addition( X
% 70.05/70.46 , Y ) ) ), X ), multiplication( Z, X ) ) ] )
% 70.05/70.46 , clause( 131347, [ =( multiplication( multiplication( X, domain( addition(
% 70.05/70.46 Y, Z ) ) ), Y ), multiplication( X, Y ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131352, [ =( true, leq( multiplication( antidomain( X ), Y ), Y ) )
% 70.05/70.46 ] )
% 70.05/70.46 , clause( 1233, [ =( leq( multiplication( antidomain( X ), Y ), Y ), true )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131353, [ =( true, leq( antidomain( addition( X, codomain( Y ) ) )
% 70.05/70.46 , coantidomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 406, [ =( multiplication( antidomain( addition( X, codomain( Y )
% 70.05/70.46 ) ), coantidomain( Y ) ), antidomain( addition( X, codomain( Y ) ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, clause( 131352, [ =( true, leq( multiplication( antidomain( X ), Y ),
% 70.05/70.46 Y ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, addition( X, codomain( Y ) ) ), :=( Y, coantidomain( Y ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131354, [ =( leq( antidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.46 coantidomain( Y ) ), true ) ] )
% 70.05/70.46 , clause( 131353, [ =( true, leq( antidomain( addition( X, codomain( Y ) )
% 70.05/70.46 ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 12781, [ =( leq( antidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.46 coantidomain( Y ) ), true ) ] )
% 70.05/70.46 , clause( 131354, [ =( leq( antidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.46 coantidomain( Y ) ), true ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131355, [ =( true, leq( antidomain( addition( X, codomain( Y ) ) )
% 70.05/70.46 , coantidomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 12781, [ =( leq( antidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.46 coantidomain( Y ) ), true ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131356, [ =( true, leq( antidomain( addition( codomain( Y ), X ) )
% 70.05/70.46 , coantidomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.46 , 0, clause( 131355, [ =( true, leq( antidomain( addition( X, codomain( Y )
% 70.05/70.46 ) ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, codomain( Y ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131359, [ =( leq( antidomain( addition( codomain( X ), Y ) ),
% 70.05/70.46 coantidomain( X ) ), true ) ] )
% 70.05/70.46 , clause( 131356, [ =( true, leq( antidomain( addition( codomain( Y ), X )
% 70.05/70.46 ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 12795, [ =( leq( antidomain( addition( codomain( Y ), X ) ),
% 70.05/70.46 coantidomain( Y ) ), true ) ] )
% 70.05/70.46 , clause( 131359, [ =( leq( antidomain( addition( codomain( X ), Y ) ),
% 70.05/70.46 coantidomain( X ) ), true ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131361, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 106, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131363, [ =( coantidomain( X ), ifeq( true, true, addition(
% 70.05/70.46 coantidomain( X ), antidomain( addition( codomain( X ), Y ) ) ),
% 70.05/70.46 coantidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 12795, [ =( leq( antidomain( addition( codomain( Y ), X ) ),
% 70.05/70.46 coantidomain( Y ) ), true ) ] )
% 70.05/70.46 , 0, clause( 131361, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y )
% 70.05/70.46 ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.46 :=( X, antidomain( addition( codomain( X ), Y ) ) ), :=( Y, coantidomain(
% 70.05/70.46 X ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131364, [ =( coantidomain( X ), addition( coantidomain( X ),
% 70.05/70.46 antidomain( addition( codomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.46 , 0, clause( 131363, [ =( coantidomain( X ), ifeq( true, true, addition(
% 70.05/70.46 coantidomain( X ), antidomain( addition( codomain( X ), Y ) ) ),
% 70.05/70.46 coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, true ), :=( Y, addition( coantidomain( X
% 70.05/70.46 ), antidomain( addition( codomain( X ), Y ) ) ) ), :=( Z, coantidomain(
% 70.05/70.46 X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131365, [ =( addition( coantidomain( X ), antidomain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , clause( 131364, [ =( coantidomain( X ), addition( coantidomain( X ),
% 70.05/70.46 antidomain( addition( codomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 12818, [ =( addition( coantidomain( X ), antidomain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , clause( 131365, [ =( addition( coantidomain( X ), antidomain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131367, [ =( true, leq( antidomain( X ), domain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 11238, [ =( leq( antidomain( Y ), domain( addition( X, antidomain(
% 70.05/70.46 Y ) ) ) ), true ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131368, [ =( true, leq( antidomain( addition( codomain( X ), Y ) )
% 70.05/70.46 , domain( coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , clause( 12818, [ =( addition( coantidomain( X ), antidomain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131367, [ =( true, leq( antidomain( X ), domain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, addition( codomain( X ), Y ) ), :=( Y, coantidomain( X ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131369, [ =( leq( antidomain( addition( codomain( X ), Y ) ),
% 70.05/70.46 domain( coantidomain( X ) ) ), true ) ] )
% 70.05/70.46 , clause( 131368, [ =( true, leq( antidomain( addition( codomain( X ), Y )
% 70.05/70.46 ), domain( coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 13113, [ =( leq( antidomain( addition( codomain( X ), Y ) ), domain(
% 70.05/70.46 coantidomain( X ) ) ), true ) ] )
% 70.05/70.46 , clause( 131369, [ =( leq( antidomain( addition( codomain( X ), Y ) ),
% 70.05/70.46 domain( coantidomain( X ) ) ), true ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131371, [ =( addition( X, one ), addition( addition( X, antidomain(
% 70.05/70.46 Y ) ), domain( Y ) ) ) ] )
% 70.05/70.46 , clause( 110, [ =( addition( addition( Y, antidomain( X ) ), domain( X ) )
% 70.05/70.46 , addition( Y, one ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131373, [ =( addition( coantidomain( X ), one ), addition(
% 70.05/70.46 coantidomain( X ), domain( addition( codomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , clause( 12818, [ =( addition( coantidomain( X ), antidomain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131371, [ =( addition( X, one ), addition( addition( X,
% 70.05/70.46 antidomain( Y ) ), domain( Y ) ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, coantidomain( X ) ), :=( Y, addition( codomain( X ), Y ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131374, [ =( one, addition( coantidomain( X ), domain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , clause( 167, [ =( addition( coantidomain( X ), one ), one ) ] )
% 70.05/70.46 , 0, clause( 131373, [ =( addition( coantidomain( X ), one ), addition(
% 70.05/70.46 coantidomain( X ), domain( addition( codomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131375, [ =( addition( coantidomain( X ), domain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), one ) ] )
% 70.05/70.46 , clause( 131374, [ =( one, addition( coantidomain( X ), domain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 13157, [ =( addition( coantidomain( X ), domain( addition( codomain(
% 70.05/70.46 X ), Y ) ) ), one ) ] )
% 70.05/70.46 , clause( 131375, [ =( addition( coantidomain( X ), domain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131377, [ =( addition( X, Y ), multiplication( domain( addition( X
% 70.05/70.46 , Y ) ), addition( Y, X ) ) ) ] )
% 70.05/70.46 , clause( 356, [ =( multiplication( domain( addition( X, Y ) ), addition( Y
% 70.05/70.46 , X ) ), addition( X, Y ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131381, [ =( addition( coantidomain( X ), domain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), multiplication( domain( one ), addition( domain(
% 70.05/70.46 addition( codomain( X ), Y ) ), coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , clause( 13157, [ =( addition( coantidomain( X ), domain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131377, [ =( addition( X, Y ), multiplication( domain(
% 70.05/70.46 addition( X, Y ) ), addition( Y, X ) ) ) ] )
% 70.05/70.46 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, coantidomain( X ) ), :=( Y, domain( addition( codomain( X ), Y ) )
% 70.05/70.46 )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131383, [ =( one, multiplication( domain( one ), addition( domain(
% 70.05/70.46 addition( codomain( X ), Y ) ), coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , clause( 13157, [ =( addition( coantidomain( X ), domain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131381, [ =( addition( coantidomain( X ), domain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), multiplication( domain( one ), addition( domain(
% 70.05/70.46 addition( codomain( X ), Y ) ), coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131387, [ =( one, multiplication( one, addition( domain( addition(
% 70.05/70.46 codomain( X ), Y ) ), coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , clause( 1006, [ =( domain( one ), one ) ] )
% 70.05/70.46 , 0, clause( 131383, [ =( one, multiplication( domain( one ), addition(
% 70.05/70.46 domain( addition( codomain( X ), Y ) ), coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131388, [ =( one, addition( domain( addition( codomain( X ), Y ) )
% 70.05/70.46 , coantidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.46 , 0, clause( 131387, [ =( one, multiplication( one, addition( domain(
% 70.05/70.46 addition( codomain( X ), Y ) ), coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, addition( domain( addition( codomain( X )
% 70.05/70.46 , Y ) ), coantidomain( X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 70.05/70.46 Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131389, [ =( addition( domain( addition( codomain( X ), Y ) ),
% 70.05/70.46 coantidomain( X ) ), one ) ] )
% 70.05/70.46 , clause( 131388, [ =( one, addition( domain( addition( codomain( X ), Y )
% 70.05/70.46 ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 13214, [ =( addition( domain( addition( codomain( X ), Y ) ),
% 70.05/70.46 coantidomain( X ) ), one ) ] )
% 70.05/70.46 , clause( 131389, [ =( addition( domain( addition( codomain( X ), Y ) ),
% 70.05/70.46 coantidomain( X ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131391, [ =( one, addition( domain( addition( codomain( X ), Y ) )
% 70.05/70.46 , coantidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 13214, [ =( addition( domain( addition( codomain( X ), Y ) ),
% 70.05/70.46 coantidomain( X ) ), one ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131393, [ =( one, addition( domain( addition( coantidomain( X ), Y
% 70.05/70.46 ) ), coantidomain( coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, clause( 131391, [ =( one, addition( domain( addition( codomain( X ), Y
% 70.05/70.46 ) ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.46 coantidomain( X ) ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131394, [ =( one, addition( domain( addition( coantidomain( X ), Y
% 70.05/70.46 ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131393, [ =( one, addition( domain( addition( coantidomain( X
% 70.05/70.46 ), Y ) ), coantidomain( coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131395, [ =( addition( domain( addition( coantidomain( X ), Y ) ),
% 70.05/70.46 codomain( X ) ), one ) ] )
% 70.05/70.46 , clause( 131394, [ =( one, addition( domain( addition( coantidomain( X ),
% 70.05/70.46 Y ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 13384, [ =( addition( domain( addition( coantidomain( X ), Y ) ),
% 70.05/70.46 codomain( X ) ), one ) ] )
% 70.05/70.46 , clause( 131395, [ =( addition( domain( addition( coantidomain( X ), Y ) )
% 70.05/70.46 , codomain( X ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131397, [ =( one, addition( domain( addition( coantidomain( X ), Y
% 70.05/70.46 ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , clause( 13384, [ =( addition( domain( addition( coantidomain( X ), Y ) )
% 70.05/70.46 , codomain( X ) ), one ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131398, [ =( one, addition( domain( multiplication( coantidomain( X
% 70.05/70.46 ), addition( one, Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , clause( 62, [ =( addition( X, multiplication( X, Y ) ), multiplication( X
% 70.05/70.46 , addition( one, Y ) ) ) ] )
% 70.05/70.46 , 0, clause( 131397, [ =( one, addition( domain( addition( coantidomain( X
% 70.05/70.46 ), Y ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, coantidomain( X ) ), :=( Y, Y )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, multiplication( coantidomain( X ),
% 70.05/70.46 Y ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131399, [ =( addition( domain( multiplication( coantidomain( X ),
% 70.05/70.46 addition( one, Y ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.46 , clause( 131398, [ =( one, addition( domain( multiplication( coantidomain(
% 70.05/70.46 X ), addition( one, Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 13406, [ =( addition( domain( multiplication( coantidomain( X ),
% 70.05/70.46 addition( one, Y ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.46 , clause( 131399, [ =( addition( domain( multiplication( coantidomain( X )
% 70.05/70.46 , addition( one, Y ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131400, [ =( one, addition( domain( addition( coantidomain( X ), Y
% 70.05/70.46 ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , clause( 13384, [ =( addition( domain( addition( coantidomain( X ), Y ) )
% 70.05/70.46 , codomain( X ) ), one ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131402, [ =( one, addition( domain( addition( Y, coantidomain( X )
% 70.05/70.46 ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.46 , 0, clause( 131400, [ =( one, addition( domain( addition( coantidomain( X
% 70.05/70.46 ), Y ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, coantidomain( X ) ), :=( Y, Y )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131408, [ =( addition( domain( addition( X, coantidomain( Y ) ) ),
% 70.05/70.46 codomain( Y ) ), one ) ] )
% 70.05/70.46 , clause( 131402, [ =( one, addition( domain( addition( Y, coantidomain( X
% 70.05/70.46 ) ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 13413, [ =( addition( domain( addition( Y, coantidomain( X ) ) ),
% 70.05/70.46 codomain( X ) ), one ) ] )
% 70.05/70.46 , clause( 131408, [ =( addition( domain( addition( X, coantidomain( Y ) ) )
% 70.05/70.46 , codomain( Y ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131410, [ =( addition( X, Y ), multiplication( domain( addition( X
% 70.05/70.46 , Y ) ), addition( Y, X ) ) ) ] )
% 70.05/70.46 , clause( 356, [ =( multiplication( domain( addition( X, Y ) ), addition( Y
% 70.05/70.46 , X ) ), addition( X, Y ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131414, [ =( addition( domain( addition( X, coantidomain( Y ) ) ),
% 70.05/70.46 codomain( Y ) ), multiplication( domain( one ), addition( codomain( Y ),
% 70.05/70.46 domain( addition( X, coantidomain( Y ) ) ) ) ) ) ] )
% 70.05/70.46 , clause( 13413, [ =( addition( domain( addition( Y, coantidomain( X ) ) )
% 70.05/70.46 , codomain( X ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131410, [ =( addition( X, Y ), multiplication( domain(
% 70.05/70.46 addition( X, Y ) ), addition( Y, X ) ) ) ] )
% 70.05/70.46 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.46 :=( X, domain( addition( X, coantidomain( Y ) ) ) ), :=( Y, codomain( Y )
% 70.05/70.46 )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131416, [ =( one, multiplication( domain( one ), addition( codomain(
% 70.05/70.46 Y ), domain( addition( X, coantidomain( Y ) ) ) ) ) ) ] )
% 70.05/70.46 , clause( 13413, [ =( addition( domain( addition( Y, coantidomain( X ) ) )
% 70.05/70.46 , codomain( X ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131414, [ =( addition( domain( addition( X, coantidomain( Y )
% 70.05/70.46 ) ), codomain( Y ) ), multiplication( domain( one ), addition( codomain(
% 70.05/70.46 Y ), domain( addition( X, coantidomain( Y ) ) ) ) ) ) ] )
% 70.05/70.46 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131420, [ =( one, multiplication( one, addition( codomain( X ),
% 70.05/70.46 domain( addition( Y, coantidomain( X ) ) ) ) ) ) ] )
% 70.05/70.46 , clause( 1006, [ =( domain( one ), one ) ] )
% 70.05/70.46 , 0, clause( 131416, [ =( one, multiplication( domain( one ), addition(
% 70.05/70.46 codomain( Y ), domain( addition( X, coantidomain( Y ) ) ) ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131421, [ =( one, addition( codomain( X ), domain( addition( Y,
% 70.05/70.46 coantidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.46 , 0, clause( 131420, [ =( one, multiplication( one, addition( codomain( X )
% 70.05/70.46 , domain( addition( Y, coantidomain( X ) ) ) ) ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, addition( codomain( X ), domain( addition(
% 70.05/70.46 Y, coantidomain( X ) ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 70.05/70.46 )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131422, [ =( addition( codomain( X ), domain( addition( Y,
% 70.05/70.46 coantidomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , clause( 131421, [ =( one, addition( codomain( X ), domain( addition( Y,
% 70.05/70.46 coantidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 13419, [ =( addition( codomain( Y ), domain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ) ), one ) ] )
% 70.05/70.46 , clause( 131422, [ =( addition( codomain( X ), domain( addition( Y,
% 70.05/70.46 coantidomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131424, [ =( true, leq( antidomain( addition( codomain( X ), Y ) )
% 70.05/70.46 , domain( coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , clause( 13113, [ =( leq( antidomain( addition( codomain( X ), Y ) ),
% 70.05/70.46 domain( coantidomain( X ) ) ), true ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131426, [ =( true, leq( antidomain( addition( coantidomain( X ), Y
% 70.05/70.46 ) ), domain( coantidomain( coantidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, clause( 131424, [ =( true, leq( antidomain( addition( codomain( X ), Y
% 70.05/70.46 ) ), domain( coantidomain( X ) ) ) ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.46 coantidomain( X ) ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131427, [ =( true, leq( antidomain( addition( coantidomain( X ), Y
% 70.05/70.46 ) ), domain( codomain( X ) ) ) ) ] )
% 70.05/70.46 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131426, [ =( true, leq( antidomain( addition( coantidomain( X
% 70.05/70.46 ), Y ) ), domain( coantidomain( coantidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131428, [ =( leq( antidomain( addition( coantidomain( X ), Y ) ),
% 70.05/70.46 domain( codomain( X ) ) ), true ) ] )
% 70.05/70.46 , clause( 131427, [ =( true, leq( antidomain( addition( coantidomain( X ),
% 70.05/70.46 Y ) ), domain( codomain( X ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 14005, [ =( leq( antidomain( addition( coantidomain( X ), Y ) ),
% 70.05/70.46 domain( codomain( X ) ) ), true ) ] )
% 70.05/70.46 , clause( 131428, [ =( leq( antidomain( addition( coantidomain( X ), Y ) )
% 70.05/70.46 , domain( codomain( X ) ) ), true ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131430, [ =( true, leq( antidomain( addition( coantidomain( X ), Y
% 70.05/70.46 ) ), domain( codomain( X ) ) ) ) ] )
% 70.05/70.46 , clause( 14005, [ =( leq( antidomain( addition( coantidomain( X ), Y ) ),
% 70.05/70.46 domain( codomain( X ) ) ), true ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131431, [ =( true, leq( antidomain( coantidomain( multiplication(
% 70.05/70.46 codomain( X ), Y ) ) ), domain( codomain( multiplication( X, Y ) ) ) ) )
% 70.05/70.46 ] )
% 70.05/70.46 , clause( 149, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.46 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.46 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.46 , 0, clause( 131430, [ =( true, leq( antidomain( addition( coantidomain( X
% 70.05/70.46 ), Y ) ), domain( codomain( X ) ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, multiplication( X, Y ) ), :=( Y, coantidomain( multiplication(
% 70.05/70.46 codomain( X ), Y ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131432, [ =( leq( antidomain( coantidomain( multiplication(
% 70.05/70.46 codomain( X ), Y ) ) ), domain( codomain( multiplication( X, Y ) ) ) ),
% 70.05/70.46 true ) ] )
% 70.05/70.46 , clause( 131431, [ =( true, leq( antidomain( coantidomain( multiplication(
% 70.05/70.46 codomain( X ), Y ) ) ), domain( codomain( multiplication( X, Y ) ) ) ) )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 14020, [ =( leq( antidomain( coantidomain( multiplication( codomain(
% 70.05/70.46 X ), Y ) ) ), domain( codomain( multiplication( X, Y ) ) ) ), true ) ] )
% 70.05/70.46 , clause( 131432, [ =( leq( antidomain( coantidomain( multiplication(
% 70.05/70.46 codomain( X ), Y ) ) ), domain( codomain( multiplication( X, Y ) ) ) ),
% 70.05/70.46 true ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131434, [ =( multiplication( Y, X ), multiplication( addition(
% 70.05/70.46 codomain( antidomain( X ) ), Y ), X ) ) ] )
% 70.05/70.46 , clause( 2580, [ =( multiplication( addition( codomain( antidomain( X ) )
% 70.05/70.46 , Y ), X ), multiplication( Y, X ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131436, [ =( multiplication( coantidomain( antidomain( X ) ), X ),
% 70.05/70.46 multiplication( one, X ) ) ] )
% 70.05/70.46 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131434, [ =( multiplication( Y, X ), multiplication( addition(
% 70.05/70.46 codomain( antidomain( X ) ), Y ), X ) ) ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, antidomain( X ) )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, coantidomain( antidomain( X ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131437, [ =( multiplication( coantidomain( antidomain( X ) ), X ),
% 70.05/70.46 X ) ] )
% 70.05/70.46 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.46 , 0, clause( 131436, [ =( multiplication( coantidomain( antidomain( X ) ),
% 70.05/70.46 X ), multiplication( one, X ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 15648, [ =( multiplication( coantidomain( antidomain( X ) ), X ), X
% 70.05/70.46 ) ] )
% 70.05/70.46 , clause( 131437, [ =( multiplication( coantidomain( antidomain( X ) ), X )
% 70.05/70.46 , X ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131440, [ =( X, addition( X, multiplication( X, domain( Y ) ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 525, [ =( addition( Y, multiplication( Y, domain( X ) ) ), Y ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131443, [ =( coantidomain( antidomain( domain( X ) ) ), addition(
% 70.05/70.46 coantidomain( antidomain( domain( X ) ) ), domain( X ) ) ) ] )
% 70.05/70.46 , clause( 15648, [ =( multiplication( coantidomain( antidomain( X ) ), X )
% 70.05/70.46 , X ) ] )
% 70.05/70.46 , 0, clause( 131440, [ =( X, addition( X, multiplication( X, domain( Y ) )
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , 0, 10, substitution( 0, [ :=( X, domain( X ) )] ), substitution( 1, [
% 70.05/70.46 :=( X, coantidomain( antidomain( domain( X ) ) ) ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131445, [ =( coantidomain( antidomain( domain( X ) ) ), addition(
% 70.05/70.46 coantidomain( antidomain( X ) ), domain( X ) ) ) ] )
% 70.05/70.46 , clause( 409, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131443, [ =( coantidomain( antidomain( domain( X ) ) ),
% 70.05/70.46 addition( coantidomain( antidomain( domain( X ) ) ), domain( X ) ) ) ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131446, [ =( coantidomain( antidomain( X ) ), addition(
% 70.05/70.46 coantidomain( antidomain( X ) ), domain( X ) ) ) ] )
% 70.05/70.46 , clause( 409, [ =( antidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131445, [ =( coantidomain( antidomain( domain( X ) ) ),
% 70.05/70.46 addition( coantidomain( antidomain( X ) ), domain( X ) ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131449, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , clause( 3142, [ =( addition( coantidomain( antidomain( X ) ), domain( X )
% 70.05/70.46 ), domain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131446, [ =( coantidomain( antidomain( X ) ), addition(
% 70.05/70.46 coantidomain( antidomain( X ) ), domain( X ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , clause( 131449, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131452, [ =( X, multiplication( coantidomain( antidomain( X ) ), X
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , clause( 15648, [ =( multiplication( coantidomain( antidomain( X ) ), X )
% 70.05/70.46 , X ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131454, [ =( antidomain( X ), multiplication( coantidomain( domain(
% 70.05/70.46 X ) ), antidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131452, [ =( X, multiplication( coantidomain( antidomain( X )
% 70.05/70.46 ), X ) ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.46 antidomain( X ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131455, [ =( antidomain( X ), coantidomain( domain( X ) ) ) ] )
% 70.05/70.46 , clause( 3069, [ =( multiplication( coantidomain( domain( X ) ),
% 70.05/70.46 antidomain( X ) ), coantidomain( domain( X ) ) ) ] )
% 70.05/70.46 , 0, clause( 131454, [ =( antidomain( X ), multiplication( coantidomain(
% 70.05/70.46 domain( X ) ), antidomain( X ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131456, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , clause( 131455, [ =( antidomain( X ), coantidomain( domain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , clause( 131456, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131458, [ =( coantidomain( X ), codomain( coantidomain( X ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131460, [ =( coantidomain( antidomain( X ) ), codomain( domain( X )
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131458, [ =( coantidomain( X ), codomain( coantidomain( X ) )
% 70.05/70.46 ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.46 antidomain( X ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131461, [ =( domain( X ), codomain( domain( X ) ) ) ] )
% 70.05/70.46 , clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131460, [ =( coantidomain( antidomain( X ) ), codomain( domain(
% 70.05/70.46 X ) ) ) ] )
% 70.05/70.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131463, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , clause( 131461, [ =( domain( X ), codomain( domain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 15794, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , clause( 131463, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131466, [ =( codomain( X ), coantidomain( coantidomain( X ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131468, [ =( codomain( antidomain( X ) ), coantidomain( domain( X )
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131466, [ =( codomain( X ), coantidomain( coantidomain( X ) )
% 70.05/70.46 ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.46 antidomain( X ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131469, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131468, [ =( codomain( antidomain( X ) ), coantidomain( domain(
% 70.05/70.46 X ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 15804, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , clause( 131469, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131472, [ =( one, addition( codomain( X ), domain( addition( Y,
% 70.05/70.46 coantidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 13419, [ =( addition( codomain( Y ), domain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ) ), one ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131474, [ =( one, addition( domain( X ), domain( addition( Y,
% 70.05/70.46 coantidomain( domain( X ) ) ) ) ) ) ] )
% 70.05/70.46 , clause( 15794, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131472, [ =( one, addition( codomain( X ), domain( addition( Y
% 70.05/70.46 , coantidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.46 X ) ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131475, [ =( one, addition( domain( X ), domain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131474, [ =( one, addition( domain( X ), domain( addition( Y,
% 70.05/70.46 coantidomain( domain( X ) ) ) ) ) ) ] )
% 70.05/70.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131476, [ =( addition( domain( X ), domain( addition( Y, antidomain(
% 70.05/70.46 X ) ) ) ), one ) ] )
% 70.05/70.46 , clause( 131475, [ =( one, addition( domain( X ), domain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 15823, [ =( addition( domain( X ), domain( addition( Y, antidomain(
% 70.05/70.46 X ) ) ) ), one ) ] )
% 70.05/70.46 , clause( 131476, [ =( addition( domain( X ), domain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131478, [ =( multiplication( X, coantidomain( Y ) ), multiplication(
% 70.05/70.46 addition( X, Y ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 86, [ =( multiplication( addition( Y, X ), coantidomain( X ) ),
% 70.05/70.46 multiplication( Y, coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131481, [ =( multiplication( domain( X ), coantidomain( domain(
% 70.05/70.46 addition( Y, antidomain( X ) ) ) ) ), multiplication( one, coantidomain(
% 70.05/70.46 domain( addition( Y, antidomain( X ) ) ) ) ) ) ] )
% 70.05/70.46 , clause( 15823, [ =( addition( domain( X ), domain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131478, [ =( multiplication( X, coantidomain( Y ) ),
% 70.05/70.46 multiplication( addition( X, Y ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, domain( X ) ), :=( Y, domain( addition( Y, antidomain( X ) ) ) )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131482, [ =( multiplication( domain( X ), coantidomain( domain(
% 70.05/70.46 addition( Y, antidomain( X ) ) ) ) ), coantidomain( domain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.46 , 0, clause( 131481, [ =( multiplication( domain( X ), coantidomain( domain(
% 70.05/70.46 addition( Y, antidomain( X ) ) ) ) ), multiplication( one, coantidomain(
% 70.05/70.46 domain( addition( Y, antidomain( X ) ) ) ) ) ) ] )
% 70.05/70.46 , 0, 10, substitution( 0, [ :=( X, coantidomain( domain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131484, [ =( multiplication( domain( X ), coantidomain( domain(
% 70.05/70.46 addition( Y, antidomain( X ) ) ) ) ), antidomain( addition( Y, antidomain(
% 70.05/70.46 X ) ) ) ) ] )
% 70.05/70.46 , clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131482, [ =( multiplication( domain( X ), coantidomain( domain(
% 70.05/70.46 addition( Y, antidomain( X ) ) ) ) ), coantidomain( domain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, 10, substitution( 0, [ :=( X, addition( Y, antidomain( X ) ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131485, [ =( multiplication( domain( X ), antidomain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ), antidomain( addition( Y, antidomain( X ) ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131484, [ =( multiplication( domain( X ), coantidomain( domain(
% 70.05/70.46 addition( Y, antidomain( X ) ) ) ) ), antidomain( addition( Y, antidomain(
% 70.05/70.46 X ) ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, addition( Y, antidomain( X ) ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 15949, [ =( multiplication( domain( X ), antidomain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ), antidomain( addition( Y, antidomain( X ) ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 131485, [ =( multiplication( domain( X ), antidomain( addition( Y
% 70.05/70.46 , antidomain( X ) ) ) ), antidomain( addition( Y, antidomain( X ) ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131490, [ =( multiplication( X, Y ), multiplication( X, addition(
% 70.05/70.46 domain( coantidomain( X ) ), Y ) ) ) ] )
% 70.05/70.46 , clause( 2103, [ =( multiplication( X, addition( domain( coantidomain( X )
% 70.05/70.46 ), Y ) ), multiplication( X, Y ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131492, [ =( multiplication( X, antidomain( coantidomain( X ) ) ),
% 70.05/70.46 multiplication( X, one ) ) ] )
% 70.05/70.46 , clause( 90, [ =( addition( domain( X ), antidomain( X ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131490, [ =( multiplication( X, Y ), multiplication( X,
% 70.05/70.46 addition( domain( coantidomain( X ) ), Y ) ) ) ] )
% 70.05/70.46 , 0, 8, substitution( 0, [ :=( X, coantidomain( X ) )] ), substitution( 1
% 70.05/70.46 , [ :=( X, X ), :=( Y, antidomain( coantidomain( X ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131493, [ =( multiplication( X, antidomain( coantidomain( X ) ) ),
% 70.05/70.46 X ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131492, [ =( multiplication( X, antidomain( coantidomain( X )
% 70.05/70.46 ) ), multiplication( X, one ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 16804, [ =( multiplication( X, antidomain( coantidomain( X ) ) ), X
% 70.05/70.46 ) ] )
% 70.05/70.46 , clause( 131493, [ =( multiplication( X, antidomain( coantidomain( X ) ) )
% 70.05/70.46 , X ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131496, [ =( X, addition( X, multiplication( coantidomain( Y ), X )
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , clause( 1104, [ =( addition( Y, multiplication( coantidomain( X ), Y ) )
% 70.05/70.46 , Y ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131499, [ =( antidomain( coantidomain( coantidomain( X ) ) ),
% 70.05/70.46 addition( antidomain( coantidomain( coantidomain( X ) ) ), coantidomain(
% 70.05/70.46 X ) ) ) ] )
% 70.05/70.46 , clause( 16804, [ =( multiplication( X, antidomain( coantidomain( X ) ) )
% 70.05/70.46 , X ) ] )
% 70.05/70.46 , 0, clause( 131496, [ =( X, addition( X, multiplication( coantidomain( Y )
% 70.05/70.46 , X ) ) ) ] )
% 70.05/70.46 , 0, 10, substitution( 0, [ :=( X, coantidomain( X ) )] ), substitution( 1
% 70.05/70.46 , [ :=( X, antidomain( coantidomain( coantidomain( X ) ) ) ), :=( Y, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131501, [ =( antidomain( coantidomain( coantidomain( X ) ) ),
% 70.05/70.46 addition( antidomain( codomain( X ) ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131499, [ =( antidomain( coantidomain( coantidomain( X ) ) ),
% 70.05/70.46 addition( antidomain( coantidomain( coantidomain( X ) ) ), coantidomain(
% 70.05/70.46 X ) ) ) ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131502, [ =( antidomain( codomain( X ) ), addition( antidomain(
% 70.05/70.46 codomain( X ) ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131501, [ =( antidomain( coantidomain( coantidomain( X ) ) ),
% 70.05/70.46 addition( antidomain( codomain( X ) ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131505, [ =( antidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , clause( 3402, [ =( addition( antidomain( codomain( X ) ), coantidomain( X
% 70.05/70.46 ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131502, [ =( antidomain( codomain( X ) ), addition( antidomain(
% 70.05/70.46 codomain( X ) ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 16871, [ =( antidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , clause( 131505, [ =( antidomain( codomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131508, [ =( X, addition( X, multiplication( codomain( Y ), X ) ) )
% 70.05/70.46 ] )
% 70.05/70.46 , clause( 1099, [ =( addition( Y, multiplication( codomain( X ), Y ) ), Y )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131511, [ =( antidomain( coantidomain( codomain( X ) ) ), addition(
% 70.05/70.46 antidomain( coantidomain( codomain( X ) ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , clause( 16804, [ =( multiplication( X, antidomain( coantidomain( X ) ) )
% 70.05/70.46 , X ) ] )
% 70.05/70.46 , 0, clause( 131508, [ =( X, addition( X, multiplication( codomain( Y ), X
% 70.05/70.46 ) ) ) ] )
% 70.05/70.46 , 0, 10, substitution( 0, [ :=( X, codomain( X ) )] ), substitution( 1, [
% 70.05/70.46 :=( X, antidomain( coantidomain( codomain( X ) ) ) ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131513, [ =( antidomain( coantidomain( codomain( X ) ) ), addition(
% 70.05/70.46 antidomain( coantidomain( X ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , clause( 1024, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, clause( 131511, [ =( antidomain( coantidomain( codomain( X ) ) ),
% 70.05/70.46 addition( antidomain( coantidomain( codomain( X ) ) ), codomain( X ) ) )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131514, [ =( antidomain( coantidomain( X ) ), addition( antidomain(
% 70.05/70.46 coantidomain( X ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , clause( 1024, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, clause( 131513, [ =( antidomain( coantidomain( codomain( X ) ) ),
% 70.05/70.46 addition( antidomain( coantidomain( X ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131517, [ =( antidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , clause( 3396, [ =( addition( antidomain( coantidomain( X ) ), codomain( X
% 70.05/70.46 ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131514, [ =( antidomain( coantidomain( X ) ), addition(
% 70.05/70.46 antidomain( coantidomain( X ) ), codomain( X ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 16872, [ =( antidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , clause( 131517, [ =( antidomain( coantidomain( X ) ), codomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131520, [ =( domain( X ), coantidomain( antidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131523, [ =( domain( codomain( X ) ), coantidomain( coantidomain( X
% 70.05/70.46 ) ) ) ] )
% 70.05/70.46 , clause( 16871, [ =( antidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131520, [ =( domain( X ), coantidomain( antidomain( X ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.46 codomain( X ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131524, [ =( domain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131523, [ =( domain( codomain( X ) ), coantidomain(
% 70.05/70.46 coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 16883, [ =( domain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , clause( 131524, [ =( domain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131527, [ =( antidomain( X ), domain( antidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 1005, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131529, [ =( antidomain( codomain( X ) ), domain( coantidomain( X )
% 70.05/70.46 ) ) ] )
% 70.05/70.46 , clause( 16871, [ =( antidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131527, [ =( antidomain( X ), domain( antidomain( X ) ) ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.46 codomain( X ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131530, [ =( coantidomain( X ), domain( coantidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 16871, [ =( antidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131529, [ =( antidomain( codomain( X ) ), domain( coantidomain(
% 70.05/70.46 X ) ) ) ] )
% 70.05/70.46 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131532, [ =( domain( coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , clause( 131530, [ =( coantidomain( X ), domain( coantidomain( X ) ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 16900, [ =( domain( coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , clause( 131532, [ =( domain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131535, [ =( zero, multiplication( multiplication( X, codomain( Y )
% 70.05/70.46 ), coantidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.46 , clause( 3882, [ =( multiplication( multiplication( Z, codomain( X ) ),
% 70.05/70.46 coantidomain( addition( Y, X ) ) ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131536, [ =( zero, multiplication( antidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), coantidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.46 , clause( 618, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.46 Y ) ) ), codomain( Y ) ), antidomain( addition( X, coantidomain( Y ) ) )
% 70.05/70.46 ) ] )
% 70.05/70.46 , 0, clause( 131535, [ =( zero, multiplication( multiplication( X, codomain(
% 70.05/70.46 Y ) ), coantidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, antidomain( addition( X, coantidomain( Y ) ) ) ), :=( Y, Y ), :=(
% 70.05/70.46 Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131537, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.46 Y ) ) ), coantidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131536, [ =( zero, multiplication( antidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), coantidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 18825, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.46 Y ) ) ), coantidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131537, [ =( multiplication( antidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), coantidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131539, [ =( zero, multiplication( multiplication( X, codomain( Y )
% 70.05/70.46 ), coantidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.46 , clause( 3935, [ =( multiplication( multiplication( Z, codomain( X ) ),
% 70.05/70.46 coantidomain( addition( X, Y ) ) ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131540, [ =( zero, multiplication( antidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), coantidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.46 , clause( 618, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.46 Y ) ) ), codomain( Y ) ), antidomain( addition( X, coantidomain( Y ) ) )
% 70.05/70.46 ) ] )
% 70.05/70.46 , 0, clause( 131539, [ =( zero, multiplication( multiplication( X, codomain(
% 70.05/70.46 Y ) ), coantidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, antidomain( addition( X, coantidomain( Y ) ) ) ), :=( Y, Y ), :=(
% 70.05/70.46 Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131541, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.46 Y ) ) ), coantidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131540, [ =( zero, multiplication( antidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), coantidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 18826, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.46 Y ) ) ), coantidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131541, [ =( multiplication( antidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), coantidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131545, [ =( leq( codomain( multiplication( codomain( X ), Y ) ),
% 70.05/70.46 domain( codomain( multiplication( X, Y ) ) ) ), true ) ] )
% 70.05/70.46 , clause( 16872, [ =( antidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 14020, [ =( leq( antidomain( coantidomain( multiplication(
% 70.05/70.46 codomain( X ), Y ) ) ), domain( codomain( multiplication( X, Y ) ) ) ),
% 70.05/70.46 true ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, multiplication( codomain( X ), Y ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131546, [ =( leq( codomain( multiplication( codomain( X ), Y ) ),
% 70.05/70.46 codomain( multiplication( X, Y ) ) ), true ) ] )
% 70.05/70.46 , clause( 16883, [ =( domain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131545, [ =( leq( codomain( multiplication( codomain( X ), Y )
% 70.05/70.46 ), domain( codomain( multiplication( X, Y ) ) ) ), true ) ] )
% 70.05/70.46 , 0, 7, substitution( 0, [ :=( X, multiplication( X, Y ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 20018, [ =( leq( codomain( multiplication( codomain( X ), Y ) ),
% 70.05/70.46 codomain( multiplication( X, Y ) ) ), true ) ] )
% 70.05/70.46 , clause( 131546, [ =( leq( codomain( multiplication( codomain( X ), Y ) )
% 70.05/70.46 , codomain( multiplication( X, Y ) ) ), true ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131549, [ =( multiplication( codomain( Y ), X ), multiplication(
% 70.05/70.46 multiplication( domain( X ), codomain( Y ) ), X ) ) ] )
% 70.05/70.46 , clause( 11227, [ =( multiplication( multiplication( domain( X ), codomain(
% 70.05/70.46 Y ) ), X ), multiplication( codomain( Y ), X ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131550, [ =( multiplication( codomain( X ), antidomain( Y ) ),
% 70.05/70.46 multiplication( multiplication( antidomain( Y ), codomain( X ) ),
% 70.05/70.46 antidomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 1005, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131549, [ =( multiplication( codomain( Y ), X ),
% 70.05/70.46 multiplication( multiplication( domain( X ), codomain( Y ) ), X ) ) ] )
% 70.05/70.46 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 70.05/70.46 antidomain( Y ) ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131551, [ =( multiplication( multiplication( antidomain( Y ),
% 70.05/70.46 codomain( X ) ), antidomain( Y ) ), multiplication( codomain( X ),
% 70.05/70.46 antidomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 131550, [ =( multiplication( codomain( X ), antidomain( Y ) ),
% 70.05/70.46 multiplication( multiplication( antidomain( Y ), codomain( X ) ),
% 70.05/70.46 antidomain( Y ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 21510, [ =( multiplication( multiplication( antidomain( X ),
% 70.05/70.46 codomain( Y ) ), antidomain( X ) ), multiplication( codomain( Y ),
% 70.05/70.46 antidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 131551, [ =( multiplication( multiplication( antidomain( Y ),
% 70.05/70.46 codomain( X ) ), antidomain( Y ) ), multiplication( codomain( X ),
% 70.05/70.46 antidomain( Y ) ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131553, [ =( zero, multiplication( antidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), coantidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.46 , clause( 18825, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.46 Y ) ) ), coantidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131554, [ =( zero, multiplication( antidomain( addition(
% 70.05/70.46 coantidomain( Y ), X ) ), coantidomain( addition( T, Y ) ) ) ) ] )
% 70.05/70.46 , clause( 628, [ =( addition( addition( Z, multiplication( X, codomain( Y )
% 70.05/70.46 ) ), X ), addition( X, Z ) ) ] )
% 70.05/70.46 , 0, clause( 131553, [ =( zero, multiplication( antidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), coantidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, coantidomain( Y ) ), :=( Y, Z ), :=( Z, X
% 70.05/70.46 )] ), substitution( 1, [ :=( X, addition( X, multiplication(
% 70.05/70.46 coantidomain( Y ), codomain( Z ) ) ) ), :=( Y, Y ), :=( Z, T )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131556, [ =( multiplication( antidomain( addition( coantidomain( X
% 70.05/70.46 ), Y ) ), coantidomain( addition( Z, X ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131554, [ =( zero, multiplication( antidomain( addition(
% 70.05/70.46 coantidomain( Y ), X ) ), coantidomain( addition( T, Y ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Z )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 22381, [ =( multiplication( antidomain( addition( coantidomain( Y )
% 70.05/70.46 , X ) ), coantidomain( addition( T, Y ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131556, [ =( multiplication( antidomain( addition( coantidomain(
% 70.05/70.46 X ), Y ) ), coantidomain( addition( Z, X ) ) ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131559, [ =( zero, multiplication( antidomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ), coantidomain( addition( Z, X ) ) ) ) ] )
% 70.05/70.46 , clause( 22381, [ =( multiplication( antidomain( addition( coantidomain( Y
% 70.05/70.46 ), X ) ), coantidomain( addition( T, Y ) ) ), zero ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Z )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131560, [ =( zero, multiplication( antidomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ), coantidomain( addition( X, Z ) ) ) ) ] )
% 70.05/70.46 , clause( 628, [ =( addition( addition( Z, multiplication( X, codomain( Y )
% 70.05/70.46 ) ), X ), addition( X, Z ) ) ] )
% 70.05/70.46 , 0, clause( 131559, [ =( zero, multiplication( antidomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ), coantidomain( addition( Z, X ) ) ) ) ] )
% 70.05/70.46 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, addition( Z,
% 70.05/70.46 multiplication( X, codomain( T ) ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131561, [ =( multiplication( antidomain( addition( coantidomain( X
% 70.05/70.46 ), Y ) ), coantidomain( addition( X, Z ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131560, [ =( zero, multiplication( antidomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ), coantidomain( addition( X, Z ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 22410, [ =( multiplication( antidomain( addition( coantidomain( Y )
% 70.05/70.46 , T ) ), coantidomain( addition( Y, X ) ) ), zero ) ] )
% 70.05/70.46 , clause( 131561, [ =( multiplication( antidomain( addition( coantidomain(
% 70.05/70.46 X ), Y ) ), coantidomain( addition( X, Z ) ) ), zero ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131563, [ =( true, ifeq2( multiplication( X, addition( Y, one ) ),
% 70.05/70.46 X, leq( multiplication( X, Y ), X ), true ) ) ] )
% 70.05/70.46 , clause( 592, [ =( ifeq2( multiplication( X, addition( Y, one ) ), X, leq(
% 70.05/70.46 multiplication( X, Y ), X ), true ), true ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131567, [ =( true, ifeq2( multiplication( coantidomain( X ),
% 70.05/70.46 addition( coantidomain( addition( Y, codomain( X ) ) ), one ) ),
% 70.05/70.46 coantidomain( X ), leq( coantidomain( addition( Y, codomain( X ) ) ),
% 70.05/70.46 coantidomain( X ) ), true ) ) ] )
% 70.05/70.46 , clause( 1018, [ =( multiplication( coantidomain( Y ), coantidomain(
% 70.05/70.46 addition( X, codomain( Y ) ) ) ), coantidomain( addition( X, codomain( Y
% 70.05/70.46 ) ) ) ) ] )
% 70.05/70.46 , 0, clause( 131563, [ =( true, ifeq2( multiplication( X, addition( Y, one
% 70.05/70.46 ) ), X, leq( multiplication( X, Y ), X ), true ) ) ] )
% 70.05/70.46 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.46 :=( X, coantidomain( X ) ), :=( Y, coantidomain( addition( Y, codomain( X
% 70.05/70.46 ) ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131568, [ =( true, ifeq2( multiplication( coantidomain( X ), one )
% 70.05/70.46 , coantidomain( X ), leq( coantidomain( addition( Y, codomain( X ) ) ),
% 70.05/70.46 coantidomain( X ) ), true ) ) ] )
% 70.05/70.46 , clause( 167, [ =( addition( coantidomain( X ), one ), one ) ] )
% 70.05/70.46 , 0, clause( 131567, [ =( true, ifeq2( multiplication( coantidomain( X ),
% 70.05/70.46 addition( coantidomain( addition( Y, codomain( X ) ) ), one ) ),
% 70.05/70.46 coantidomain( X ), leq( coantidomain( addition( Y, codomain( X ) ) ),
% 70.05/70.46 coantidomain( X ) ), true ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, addition( Y, codomain( X ) ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131569, [ =( true, ifeq2( coantidomain( X ), coantidomain( X ), leq(
% 70.05/70.46 coantidomain( addition( Y, codomain( X ) ) ), coantidomain( X ) ), true )
% 70.05/70.46 ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131568, [ =( true, ifeq2( multiplication( coantidomain( X ),
% 70.05/70.46 one ), coantidomain( X ), leq( coantidomain( addition( Y, codomain( X ) )
% 70.05/70.46 ), coantidomain( X ) ), true ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, coantidomain( X ) )] ), substitution( 1
% 70.05/70.46 , [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131570, [ =( true, leq( coantidomain( addition( Y, codomain( X ) )
% 70.05/70.46 ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.46 , 0, clause( 131569, [ =( true, ifeq2( coantidomain( X ), coantidomain( X )
% 70.05/70.46 , leq( coantidomain( addition( Y, codomain( X ) ) ), coantidomain( X ) )
% 70.05/70.46 , true ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, coantidomain( X ) ), :=( Y, leq(
% 70.05/70.46 coantidomain( addition( Y, codomain( X ) ) ), coantidomain( X ) ) ), :=(
% 70.05/70.46 Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131571, [ =( leq( coantidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.46 coantidomain( Y ) ), true ) ] )
% 70.05/70.46 , clause( 131570, [ =( true, leq( coantidomain( addition( Y, codomain( X )
% 70.05/70.46 ) ), coantidomain( X ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 26993, [ =( leq( coantidomain( addition( Y, codomain( X ) ) ),
% 70.05/70.46 coantidomain( X ) ), true ) ] )
% 70.05/70.46 , clause( 131571, [ =( leq( coantidomain( addition( X, codomain( Y ) ) ),
% 70.05/70.46 coantidomain( Y ) ), true ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131573, [ =( addition( multiplication( X, Y ), X ), multiplication(
% 70.05/70.46 X, addition( one, Y ) ) ) ] )
% 70.05/70.46 , clause( 528, [ =( multiplication( X, addition( one, Y ) ), addition(
% 70.05/70.46 multiplication( X, Y ), X ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131579, [ =( addition( coantidomain( addition( Y, codomain( X ) ) )
% 70.05/70.46 , coantidomain( X ) ), multiplication( coantidomain( X ), addition( one,
% 70.05/70.46 coantidomain( addition( Y, codomain( X ) ) ) ) ) ) ] )
% 70.05/70.46 , clause( 1018, [ =( multiplication( coantidomain( Y ), coantidomain(
% 70.05/70.46 addition( X, codomain( Y ) ) ) ), coantidomain( addition( X, codomain( Y
% 70.05/70.46 ) ) ) ) ] )
% 70.05/70.46 , 0, clause( 131573, [ =( addition( multiplication( X, Y ), X ),
% 70.05/70.46 multiplication( X, addition( one, Y ) ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.46 :=( X, coantidomain( X ) ), :=( Y, coantidomain( addition( Y, codomain( X
% 70.05/70.46 ) ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131580, [ =( addition( coantidomain( addition( X, codomain( Y ) ) )
% 70.05/70.46 , coantidomain( Y ) ), multiplication( coantidomain( Y ), one ) ) ] )
% 70.05/70.46 , clause( 138, [ =( addition( one, coantidomain( X ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131579, [ =( addition( coantidomain( addition( Y, codomain( X
% 70.05/70.46 ) ) ), coantidomain( X ) ), multiplication( coantidomain( X ), addition(
% 70.05/70.46 one, coantidomain( addition( Y, codomain( X ) ) ) ) ) ) ] )
% 70.05/70.46 , 0, 12, substitution( 0, [ :=( X, addition( X, codomain( Y ) ) )] ),
% 70.05/70.46 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131581, [ =( addition( coantidomain( addition( X, codomain( Y ) ) )
% 70.05/70.46 , coantidomain( Y ) ), coantidomain( Y ) ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131580, [ =( addition( coantidomain( addition( X, codomain( Y
% 70.05/70.46 ) ) ), coantidomain( Y ) ), multiplication( coantidomain( Y ), one ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, 9, substitution( 0, [ :=( X, coantidomain( Y ) )] ), substitution( 1
% 70.05/70.46 , [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27014, [ =( addition( coantidomain( addition( Y, codomain( X ) ) )
% 70.05/70.46 , coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , clause( 131581, [ =( addition( coantidomain( addition( X, codomain( Y ) )
% 70.05/70.46 ), coantidomain( Y ) ), coantidomain( Y ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131584, [ =( true, leq( coantidomain( addition( X, codomain( Y ) )
% 70.05/70.46 ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 26993, [ =( leq( coantidomain( addition( Y, codomain( X ) ) ),
% 70.05/70.46 coantidomain( X ) ), true ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131586, [ =( true, leq( coantidomain( addition( X, coantidomain( Y
% 70.05/70.46 ) ) ), coantidomain( coantidomain( Y ) ) ) ) ] )
% 70.05/70.46 , clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, clause( 131584, [ =( true, leq( coantidomain( addition( X, codomain( Y
% 70.05/70.46 ) ) ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, coantidomain( Y ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131587, [ =( true, leq( coantidomain( addition( X, coantidomain( Y
% 70.05/70.46 ) ) ), codomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131586, [ =( true, leq( coantidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), coantidomain( coantidomain( Y ) ) ) ) ] )
% 70.05/70.46 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131588, [ =( leq( coantidomain( addition( X, coantidomain( Y ) ) )
% 70.05/70.46 , codomain( Y ) ), true ) ] )
% 70.05/70.46 , clause( 131587, [ =( true, leq( coantidomain( addition( X, coantidomain(
% 70.05/70.46 Y ) ) ), codomain( Y ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27040, [ =( leq( coantidomain( addition( Y, coantidomain( X ) ) ),
% 70.05/70.46 codomain( X ) ), true ) ] )
% 70.05/70.46 , clause( 131588, [ =( leq( coantidomain( addition( X, coantidomain( Y ) )
% 70.05/70.46 ), codomain( Y ) ), true ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131590, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , clause( 106, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131592, [ =( codomain( X ), ifeq( true, true, addition( codomain( X
% 70.05/70.46 ), coantidomain( addition( Y, coantidomain( X ) ) ) ), codomain( X ) ) )
% 70.05/70.46 ] )
% 70.05/70.46 , clause( 27040, [ =( leq( coantidomain( addition( Y, coantidomain( X ) ) )
% 70.05/70.46 , codomain( X ) ), true ) ] )
% 70.05/70.46 , 0, clause( 131590, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y )
% 70.05/70.46 ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, coantidomain( addition( Y, coantidomain( X ) ) ) ), :=( Y,
% 70.05/70.46 codomain( X ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131593, [ =( codomain( X ), addition( codomain( X ), coantidomain(
% 70.05/70.46 addition( Y, coantidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.46 , 0, clause( 131592, [ =( codomain( X ), ifeq( true, true, addition(
% 70.05/70.46 codomain( X ), coantidomain( addition( Y, coantidomain( X ) ) ) ),
% 70.05/70.46 codomain( X ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, true ), :=( Y, addition( codomain( X ),
% 70.05/70.46 coantidomain( addition( Y, coantidomain( X ) ) ) ) ), :=( Z, codomain( X
% 70.05/70.46 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131594, [ =( addition( codomain( X ), coantidomain( addition( Y,
% 70.05/70.46 coantidomain( X ) ) ) ), codomain( X ) ) ] )
% 70.05/70.46 , clause( 131593, [ =( codomain( X ), addition( codomain( X ), coantidomain(
% 70.05/70.46 addition( Y, coantidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27136, [ =( addition( codomain( Y ), coantidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ) ), codomain( Y ) ) ] )
% 70.05/70.46 , clause( 131594, [ =( addition( codomain( X ), coantidomain( addition( Y,
% 70.05/70.46 coantidomain( X ) ) ) ), codomain( X ) ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131596, [ =( one, addition( codomain( X ), domain( addition( Y,
% 70.05/70.46 coantidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 13419, [ =( addition( codomain( Y ), domain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ) ), one ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131598, [ =( one, addition( codomain( addition( X, coantidomain( Y
% 70.05/70.46 ) ) ), domain( codomain( Y ) ) ) ) ] )
% 70.05/70.46 , clause( 27136, [ =( addition( codomain( Y ), coantidomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ) ), codomain( Y ) ) ] )
% 70.05/70.46 , 0, clause( 131596, [ =( one, addition( codomain( X ), domain( addition( Y
% 70.05/70.46 , coantidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, addition( X, coantidomain( Y ) ) ), :=( Y, codomain( Y ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131599, [ =( one, addition( codomain( addition( X, coantidomain( Y
% 70.05/70.46 ) ) ), codomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 16883, [ =( domain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131598, [ =( one, addition( codomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), domain( codomain( Y ) ) ) ) ] )
% 70.05/70.46 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131600, [ =( addition( codomain( addition( X, coantidomain( Y ) ) )
% 70.05/70.46 , codomain( Y ) ), one ) ] )
% 70.05/70.46 , clause( 131599, [ =( one, addition( codomain( addition( X, coantidomain(
% 70.05/70.46 Y ) ) ), codomain( Y ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27185, [ =( addition( codomain( addition( Y, coantidomain( X ) ) )
% 70.05/70.46 , codomain( X ) ), one ) ] )
% 70.05/70.46 , clause( 131600, [ =( addition( codomain( addition( X, coantidomain( Y ) )
% 70.05/70.46 ), codomain( Y ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131602, [ =( one, addition( codomain( addition( X, coantidomain( Y
% 70.05/70.46 ) ) ), codomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 27185, [ =( addition( codomain( addition( Y, coantidomain( X ) )
% 70.05/70.46 ), codomain( X ) ), one ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131605, [ =( one, addition( codomain( addition( coantidomain( Y ),
% 70.05/70.46 X ) ), codomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 628, [ =( addition( addition( Z, multiplication( X, codomain( Y )
% 70.05/70.46 ) ), X ), addition( X, Z ) ) ] )
% 70.05/70.46 , 0, clause( 131602, [ =( one, addition( codomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), codomain( Y ) ) ) ] )
% 70.05/70.46 , 0, 4, substitution( 0, [ :=( X, coantidomain( Y ) ), :=( Y, Z ), :=( Z, X
% 70.05/70.46 )] ), substitution( 1, [ :=( X, addition( X, multiplication(
% 70.05/70.46 coantidomain( Y ), codomain( Z ) ) ) ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131606, [ =( addition( codomain( addition( coantidomain( X ), Y ) )
% 70.05/70.46 , codomain( X ) ), one ) ] )
% 70.05/70.46 , clause( 131605, [ =( one, addition( codomain( addition( coantidomain( Y )
% 70.05/70.46 , X ) ), codomain( Y ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27350, [ =( addition( codomain( addition( coantidomain( Y ), X ) )
% 70.05/70.46 , codomain( Y ) ), one ) ] )
% 70.05/70.46 , clause( 131606, [ =( addition( codomain( addition( coantidomain( X ), Y )
% 70.05/70.46 ), codomain( X ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131608, [ =( one, addition( codomain( addition( X, coantidomain( Y
% 70.05/70.46 ) ) ), codomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 27185, [ =( addition( codomain( addition( Y, coantidomain( X ) )
% 70.05/70.46 ), codomain( X ) ), one ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131610, [ =( one, addition( codomain( addition( X, coantidomain(
% 70.05/70.46 coantidomain( Y ) ) ) ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.46 )
% 70.05/70.46 , 0, clause( 131608, [ =( one, addition( codomain( addition( X,
% 70.05/70.46 coantidomain( Y ) ) ), codomain( Y ) ) ) ] )
% 70.05/70.46 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, coantidomain( Y ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131611, [ =( one, addition( codomain( addition( X, codomain( Y ) )
% 70.05/70.46 ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131610, [ =( one, addition( codomain( addition( X,
% 70.05/70.46 coantidomain( coantidomain( Y ) ) ) ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131612, [ =( addition( codomain( addition( X, codomain( Y ) ) ),
% 70.05/70.46 coantidomain( Y ) ), one ) ] )
% 70.05/70.46 , clause( 131611, [ =( one, addition( codomain( addition( X, codomain( Y )
% 70.05/70.46 ) ), coantidomain( Y ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27374, [ =( addition( codomain( addition( Y, codomain( X ) ) ),
% 70.05/70.46 coantidomain( X ) ), one ) ] )
% 70.05/70.46 , clause( 131612, [ =( addition( codomain( addition( X, codomain( Y ) ) ),
% 70.05/70.46 coantidomain( Y ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131614, [ =( addition( Y, X ), multiplication( addition( X, Y ),
% 70.05/70.46 codomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.46 , clause( 923, [ =( multiplication( addition( Y, X ), codomain( addition( X
% 70.05/70.46 , Y ) ) ), addition( X, Y ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131618, [ =( addition( codomain( addition( coantidomain( X ), Y ) )
% 70.05/70.46 , codomain( X ) ), multiplication( addition( codomain( X ), codomain(
% 70.05/70.46 addition( coantidomain( X ), Y ) ) ), codomain( one ) ) ) ] )
% 70.05/70.46 , clause( 27350, [ =( addition( codomain( addition( coantidomain( Y ), X )
% 70.05/70.46 ), codomain( Y ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131614, [ =( addition( Y, X ), multiplication( addition( X, Y
% 70.05/70.46 ), codomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.46 , 0, 19, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.46 :=( X, codomain( X ) ), :=( Y, codomain( addition( coantidomain( X ), Y )
% 70.05/70.46 ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131620, [ =( one, multiplication( addition( codomain( X ), codomain(
% 70.05/70.46 addition( coantidomain( X ), Y ) ) ), codomain( one ) ) ) ] )
% 70.05/70.46 , clause( 27350, [ =( addition( codomain( addition( coantidomain( Y ), X )
% 70.05/70.46 ), codomain( Y ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131618, [ =( addition( codomain( addition( coantidomain( X ),
% 70.05/70.46 Y ) ), codomain( X ) ), multiplication( addition( codomain( X ), codomain(
% 70.05/70.46 addition( coantidomain( X ), Y ) ) ), codomain( one ) ) ) ] )
% 70.05/70.46 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131624, [ =( one, multiplication( addition( codomain( X ), codomain(
% 70.05/70.46 addition( coantidomain( X ), Y ) ) ), one ) ) ] )
% 70.05/70.46 , clause( 1007, [ =( codomain( one ), one ) ] )
% 70.05/70.46 , 0, clause( 131620, [ =( one, multiplication( addition( codomain( X ),
% 70.05/70.46 codomain( addition( coantidomain( X ), Y ) ) ), codomain( one ) ) ) ] )
% 70.05/70.46 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.46 ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131625, [ =( one, addition( codomain( X ), codomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131624, [ =( one, multiplication( addition( codomain( X ),
% 70.05/70.46 codomain( addition( coantidomain( X ), Y ) ) ), one ) ) ] )
% 70.05/70.46 , 0, 2, substitution( 0, [ :=( X, addition( codomain( X ), codomain(
% 70.05/70.46 addition( coantidomain( X ), Y ) ) ) )] ), substitution( 1, [ :=( X, X )
% 70.05/70.46 , :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131626, [ =( addition( codomain( X ), codomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ) ), one ) ] )
% 70.05/70.46 , clause( 131625, [ =( one, addition( codomain( X ), codomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27387, [ =( addition( codomain( X ), codomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ) ), one ) ] )
% 70.05/70.46 , clause( 131626, [ =( addition( codomain( X ), codomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131628, [ =( one, addition( codomain( X ), codomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , clause( 27387, [ =( addition( codomain( X ), codomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ) ), one ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131630, [ =( one, addition( codomain( domain( X ) ), codomain(
% 70.05/70.46 addition( antidomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131628, [ =( one, addition( codomain( X ), codomain( addition(
% 70.05/70.46 coantidomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.46 X ) ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131631, [ =( one, addition( domain( X ), codomain( addition(
% 70.05/70.46 antidomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , clause( 15794, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131630, [ =( one, addition( codomain( domain( X ) ), codomain(
% 70.05/70.46 addition( antidomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131632, [ =( addition( domain( X ), codomain( addition( antidomain(
% 70.05/70.46 X ), Y ) ) ), one ) ] )
% 70.05/70.46 , clause( 131631, [ =( one, addition( domain( X ), codomain( addition(
% 70.05/70.46 antidomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27409, [ =( addition( domain( X ), codomain( addition( antidomain(
% 70.05/70.46 X ), Y ) ) ), one ) ] )
% 70.05/70.46 , clause( 131632, [ =( addition( domain( X ), codomain( addition(
% 70.05/70.46 antidomain( X ), Y ) ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131633, [ =( one, addition( domain( X ), codomain( addition(
% 70.05/70.46 antidomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , clause( 27409, [ =( addition( domain( X ), codomain( addition( antidomain(
% 70.05/70.46 X ), Y ) ) ), one ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131635, [ =( one, addition( domain( X ), codomain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.46 , 0, clause( 131633, [ =( one, addition( domain( X ), codomain( addition(
% 70.05/70.46 antidomain( X ), Y ) ) ) ) ] )
% 70.05/70.46 , 0, 6, substitution( 0, [ :=( X, antidomain( X ) ), :=( Y, Y )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131641, [ =( addition( domain( X ), codomain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , clause( 131635, [ =( one, addition( domain( X ), codomain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27446, [ =( addition( domain( X ), codomain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , clause( 131641, [ =( addition( domain( X ), codomain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131643, [ =( one, addition( domain( X ), codomain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 27446, [ =( addition( domain( X ), codomain( addition( Y,
% 70.05/70.46 antidomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131645, [ =( one, addition( domain( coantidomain( X ) ), codomain(
% 70.05/70.46 addition( Y, codomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 16872, [ =( antidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131643, [ =( one, addition( domain( X ), codomain( addition( Y
% 70.05/70.46 , antidomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.46 coantidomain( X ) ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131646, [ =( one, addition( coantidomain( X ), codomain( addition(
% 70.05/70.46 Y, codomain( X ) ) ) ) ) ] )
% 70.05/70.46 , clause( 16900, [ =( domain( coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131645, [ =( one, addition( domain( coantidomain( X ) ),
% 70.05/70.46 codomain( addition( Y, codomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131647, [ =( addition( coantidomain( X ), codomain( addition( Y,
% 70.05/70.46 codomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , clause( 131646, [ =( one, addition( coantidomain( X ), codomain( addition(
% 70.05/70.46 Y, codomain( X ) ) ) ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27454, [ =( addition( coantidomain( X ), codomain( addition( Y,
% 70.05/70.46 codomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , clause( 131647, [ =( addition( coantidomain( X ), codomain( addition( Y,
% 70.05/70.46 codomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131649, [ =( multiplication( X, Y ), multiplication( X, addition(
% 70.05/70.46 coantidomain( X ), Y ) ) ) ] )
% 70.05/70.46 , clause( 60, [ =( multiplication( X, addition( coantidomain( X ), Y ) ),
% 70.05/70.46 multiplication( X, Y ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131651, [ =( multiplication( X, codomain( addition( Y, codomain( X
% 70.05/70.46 ) ) ) ), multiplication( X, one ) ) ] )
% 70.05/70.46 , clause( 27454, [ =( addition( coantidomain( X ), codomain( addition( Y,
% 70.05/70.46 codomain( X ) ) ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131649, [ =( multiplication( X, Y ), multiplication( X,
% 70.05/70.46 addition( coantidomain( X ), Y ) ) ) ] )
% 70.05/70.46 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, codomain( addition( Y, codomain( X ) ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131652, [ =( multiplication( X, codomain( addition( Y, codomain( X
% 70.05/70.46 ) ) ) ), X ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131651, [ =( multiplication( X, codomain( addition( Y,
% 70.05/70.46 codomain( X ) ) ) ), multiplication( X, one ) ) ] )
% 70.05/70.46 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27507, [ =( multiplication( X, codomain( addition( Y, codomain( X )
% 70.05/70.46 ) ) ), X ) ] )
% 70.05/70.46 , clause( 131652, [ =( multiplication( X, codomain( addition( Y, codomain(
% 70.05/70.46 X ) ) ) ), X ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131655, [ =( multiplication( codomain( Y ), X ), multiplication(
% 70.05/70.46 multiplication( domain( X ), codomain( Y ) ), X ) ) ] )
% 70.05/70.46 , clause( 11227, [ =( multiplication( multiplication( domain( X ), codomain(
% 70.05/70.46 Y ) ), X ), multiplication( codomain( Y ), X ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131659, [ =( multiplication( codomain( addition( X, codomain(
% 70.05/70.46 domain( Y ) ) ) ), Y ), multiplication( domain( Y ), Y ) ) ] )
% 70.05/70.46 , clause( 27507, [ =( multiplication( X, codomain( addition( Y, codomain( X
% 70.05/70.46 ) ) ) ), X ) ] )
% 70.05/70.46 , 0, clause( 131655, [ =( multiplication( codomain( Y ), X ),
% 70.05/70.46 multiplication( multiplication( domain( X ), codomain( Y ) ), X ) ) ] )
% 70.05/70.46 , 0, 10, substitution( 0, [ :=( X, domain( Y ) ), :=( Y, X )] ),
% 70.05/70.46 substitution( 1, [ :=( X, Y ), :=( Y, addition( X, codomain( domain( Y )
% 70.05/70.46 ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131660, [ =( multiplication( codomain( addition( X, codomain(
% 70.05/70.46 domain( Y ) ) ) ), Y ), Y ) ] )
% 70.05/70.46 , clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.46 , 0, clause( 131659, [ =( multiplication( codomain( addition( X, codomain(
% 70.05/70.46 domain( Y ) ) ) ), Y ), multiplication( domain( Y ), Y ) ) ] )
% 70.05/70.46 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131661, [ =( multiplication( codomain( addition( X, domain( Y ) ) )
% 70.05/70.46 , Y ), Y ) ] )
% 70.05/70.46 , clause( 15794, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131660, [ =( multiplication( codomain( addition( X, codomain(
% 70.05/70.46 domain( Y ) ) ) ), Y ), Y ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27532, [ =( multiplication( codomain( addition( Y, domain( X ) ) )
% 70.05/70.46 , X ), X ) ] )
% 70.05/70.46 , clause( 131661, [ =( multiplication( codomain( addition( X, domain( Y ) )
% 70.05/70.46 ), Y ), Y ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.46 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131664, [ =( multiplication( X, Y ), multiplication( multiplication(
% 70.05/70.46 X, domain( addition( Y, Z ) ) ), Y ) ) ] )
% 70.05/70.46 , clause( 11338, [ =( multiplication( multiplication( Z, domain( addition(
% 70.05/70.46 X, Y ) ) ), X ), multiplication( Z, X ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131668, [ =( multiplication( codomain( addition( X, domain( domain(
% 70.05/70.46 addition( Y, Z ) ) ) ) ), Y ), multiplication( domain( addition( Y, Z ) )
% 70.05/70.46 , Y ) ) ] )
% 70.05/70.46 , clause( 27532, [ =( multiplication( codomain( addition( Y, domain( X ) )
% 70.05/70.46 ), X ), X ) ] )
% 70.05/70.46 , 0, clause( 131664, [ =( multiplication( X, Y ), multiplication(
% 70.05/70.46 multiplication( X, domain( addition( Y, Z ) ) ), Y ) ) ] )
% 70.05/70.46 , 0, 12, substitution( 0, [ :=( X, domain( addition( Y, Z ) ) ), :=( Y, X )] )
% 70.05/70.46 , substitution( 1, [ :=( X, codomain( addition( X, domain( domain(
% 70.05/70.46 addition( Y, Z ) ) ) ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131669, [ =( multiplication( codomain( addition( X, domain( domain(
% 70.05/70.46 addition( Y, Z ) ) ) ) ), Y ), Y ) ] )
% 70.05/70.46 , clause( 11254, [ =( multiplication( domain( addition( Y, X ) ), Y ), Y )
% 70.05/70.46 ] )
% 70.05/70.46 , 0, clause( 131668, [ =( multiplication( codomain( addition( X, domain(
% 70.05/70.46 domain( addition( Y, Z ) ) ) ) ), Y ), multiplication( domain( addition(
% 70.05/70.46 Y, Z ) ), Y ) ) ] )
% 70.05/70.46 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131670, [ =( multiplication( codomain( addition( X, domain(
% 70.05/70.46 addition( Y, Z ) ) ) ), Y ), Y ) ] )
% 70.05/70.46 , clause( 324, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.46 , 0, clause( 131669, [ =( multiplication( codomain( addition( X, domain(
% 70.05/70.46 domain( addition( Y, Z ) ) ) ) ), Y ), Y ) ] )
% 70.05/70.46 , 0, 5, substitution( 0, [ :=( X, addition( Y, Z ) )] ), substitution( 1, [
% 70.05/70.46 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 subsumption(
% 70.05/70.46 clause( 27606, [ =( multiplication( codomain( addition( X, domain( addition(
% 70.05/70.46 Y, Z ) ) ) ), Y ), Y ) ] )
% 70.05/70.46 , clause( 131670, [ =( multiplication( codomain( addition( X, domain(
% 70.05/70.46 addition( Y, Z ) ) ) ), Y ), Y ) ] )
% 70.05/70.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 eqswap(
% 70.05/70.46 clause( 131673, [ =( multiplication( X, Z ), multiplication( X, addition(
% 70.05/70.46 coantidomain( addition( X, Y ) ), Z ) ) ) ] )
% 70.05/70.46 , clause( 1058, [ =( multiplication( X, addition( coantidomain( addition( X
% 70.05/70.46 , Y ) ), Z ) ), multiplication( X, Z ) ) ] )
% 70.05/70.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131675, [ =( multiplication( X, domain( addition( codomain(
% 70.05/70.46 addition( X, Y ) ), Z ) ) ), multiplication( X, one ) ) ] )
% 70.05/70.46 , clause( 13157, [ =( addition( coantidomain( X ), domain( addition(
% 70.05/70.46 codomain( X ), Y ) ) ), one ) ] )
% 70.05/70.46 , 0, clause( 131673, [ =( multiplication( X, Z ), multiplication( X,
% 70.05/70.46 addition( coantidomain( addition( X, Y ) ), Z ) ) ) ] )
% 70.05/70.46 , 0, 12, substitution( 0, [ :=( X, addition( X, Y ) ), :=( Y, Z )] ),
% 70.05/70.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, domain( addition(
% 70.05/70.46 codomain( addition( X, Y ) ), Z ) ) )] )).
% 70.05/70.46
% 70.05/70.46
% 70.05/70.46 paramod(
% 70.05/70.46 clause( 131677, [ =( multiplication( X, domain( addition( codomain(
% 70.05/70.46 addition( X, Y ) ), Z ) ) ), X ) ] )
% 70.05/70.46 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.46 , 0, clause( 131675, [ =( multiplication( X, domain( addition( codomain(
% 70.05/70.46 addition( X, Y ) ), Z ) ) ), multiplication( X, one ) ) ] )
% 70.05/70.46 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.46 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 28306, [ =( multiplication( X, domain( addition( codomain( addition(
% 70.05/70.47 X, Y ) ), Z ) ) ), X ) ] )
% 70.05/70.47 , clause( 131677, [ =( multiplication( X, domain( addition( codomain(
% 70.05/70.47 addition( X, Y ) ), Z ) ) ), X ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131680, [ =( multiplication( X, Z ), multiplication( X, addition(
% 70.05/70.47 coantidomain( addition( X, Y ) ), Z ) ) ) ] )
% 70.05/70.47 , clause( 1058, [ =( multiplication( X, addition( coantidomain( addition( X
% 70.05/70.47 , Y ) ), Z ) ), multiplication( X, Z ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131682, [ =( multiplication( X, codomain( addition( X, Y ) ) ),
% 70.05/70.47 multiplication( X, one ) ) ] )
% 70.05/70.47 , clause( 40, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 70.05/70.47 , 0, clause( 131680, [ =( multiplication( X, Z ), multiplication( X,
% 70.05/70.47 addition( coantidomain( addition( X, Y ) ), Z ) ) ) ] )
% 70.05/70.47 , 0, 9, substitution( 0, [ :=( X, addition( X, Y ) )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, Y ), :=( Z, codomain( addition( X, Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131684, [ =( multiplication( X, codomain( addition( X, Y ) ) ), X )
% 70.05/70.47 ] )
% 70.05/70.47 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.47 , 0, clause( 131682, [ =( multiplication( X, codomain( addition( X, Y ) ) )
% 70.05/70.47 , multiplication( X, one ) ) ] )
% 70.05/70.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 28310, [ =( multiplication( X, codomain( addition( X, Y ) ) ), X )
% 70.05/70.47 ] )
% 70.05/70.47 , clause( 131684, [ =( multiplication( X, codomain( addition( X, Y ) ) ), X
% 70.05/70.47 ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131687, [ =( X, multiplication( X, codomain( addition( X, Y ) ) ) )
% 70.05/70.47 ] )
% 70.05/70.47 , clause( 28310, [ =( multiplication( X, codomain( addition( X, Y ) ) ), X
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131690, [ =( multiplication( X, codomain( Y ) ), multiplication(
% 70.05/70.47 multiplication( X, codomain( Y ) ), codomain( X ) ) ) ] )
% 70.05/70.47 , clause( 554, [ =( addition( multiplication( Y, codomain( X ) ), Y ), Y )
% 70.05/70.47 ] )
% 70.05/70.47 , 0, clause( 131687, [ =( X, multiplication( X, codomain( addition( X, Y )
% 70.05/70.47 ) ) ) ] )
% 70.05/70.47 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, multiplication( X, codomain( Y ) ) ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131691, [ =( multiplication( multiplication( X, codomain( Y ) ),
% 70.05/70.47 codomain( X ) ), multiplication( X, codomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 131690, [ =( multiplication( X, codomain( Y ) ), multiplication(
% 70.05/70.47 multiplication( X, codomain( Y ) ), codomain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 28340, [ =( multiplication( multiplication( X, codomain( Y ) ),
% 70.05/70.47 codomain( X ) ), multiplication( X, codomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 131691, [ =( multiplication( multiplication( X, codomain( Y ) ),
% 70.05/70.47 codomain( X ) ), multiplication( X, codomain( Y ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131693, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.47 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.47 , clause( 9, [ =( addition( multiplication( X, Y ), multiplication( X, Z )
% 70.05/70.47 ), multiplication( X, addition( Y, Z ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131696, [ =( multiplication( X, addition( codomain( addition( X, Y
% 70.05/70.47 ) ), Z ) ), addition( X, multiplication( X, Z ) ) ) ] )
% 70.05/70.47 , clause( 28310, [ =( multiplication( X, codomain( addition( X, Y ) ) ), X
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, clause( 131693, [ =( multiplication( X, addition( Y, Z ) ), addition(
% 70.05/70.47 multiplication( X, Y ), multiplication( X, Z ) ) ) ] )
% 70.05/70.47 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, codomain( addition( X, Y ) ) ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 28350, [ =( multiplication( X, addition( codomain( addition( X, Y )
% 70.05/70.47 ), Z ) ), addition( X, multiplication( X, Z ) ) ) ] )
% 70.05/70.47 , clause( 131696, [ =( multiplication( X, addition( codomain( addition( X,
% 70.05/70.47 Y ) ), Z ) ), addition( X, multiplication( X, Z ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131700, [ =( multiplication( X, codomain( Y ) ), multiplication(
% 70.05/70.47 multiplication( X, codomain( Y ) ), codomain( X ) ) ) ] )
% 70.05/70.47 , clause( 28340, [ =( multiplication( multiplication( X, codomain( Y ) ),
% 70.05/70.47 codomain( X ) ), multiplication( X, codomain( Y ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131705, [ =( multiplication( X, codomain( multiplication( Y,
% 70.05/70.47 antidomain( codomain( X ) ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 4933, [ =( multiplication( multiplication( Z, codomain(
% 70.05/70.47 multiplication( X, antidomain( Y ) ) ) ), Y ), zero ) ] )
% 70.05/70.47 , 0, clause( 131700, [ =( multiplication( X, codomain( Y ) ),
% 70.05/70.47 multiplication( multiplication( X, codomain( Y ) ), codomain( X ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, codomain( X ) ), :=( Z, X )] )
% 70.05/70.47 , substitution( 1, [ :=( X, X ), :=( Y, multiplication( Y, antidomain(
% 70.05/70.47 codomain( X ) ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131707, [ =( multiplication( X, codomain( multiplication( Y,
% 70.05/70.47 coantidomain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 16871, [ =( antidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131705, [ =( multiplication( X, codomain( multiplication( Y,
% 70.05/70.47 antidomain( codomain( X ) ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 30616, [ =( multiplication( X, codomain( multiplication( Y,
% 70.05/70.47 coantidomain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131707, [ =( multiplication( X, codomain( multiplication( Y,
% 70.05/70.47 coantidomain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131710, [ =( multiplication( X, codomain( Y ) ), multiplication(
% 70.05/70.47 multiplication( X, codomain( Y ) ), codomain( X ) ) ) ] )
% 70.05/70.47 , clause( 28340, [ =( multiplication( multiplication( X, codomain( Y ) ),
% 70.05/70.47 codomain( X ) ), multiplication( X, codomain( Y ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131714, [ =( multiplication( antidomain( X ), codomain( Y ) ),
% 70.05/70.47 multiplication( multiplication( antidomain( X ), codomain( Y ) ),
% 70.05/70.47 antidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 15804, [ =( codomain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131710, [ =( multiplication( X, codomain( Y ) ),
% 70.05/70.47 multiplication( multiplication( X, codomain( Y ) ), codomain( X ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.47 antidomain( X ) ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131716, [ =( multiplication( antidomain( X ), codomain( Y ) ),
% 70.05/70.47 multiplication( codomain( Y ), antidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 21510, [ =( multiplication( multiplication( antidomain( X ),
% 70.05/70.47 codomain( Y ) ), antidomain( X ) ), multiplication( codomain( Y ),
% 70.05/70.47 antidomain( X ) ) ) ] )
% 70.05/70.47 , 0, clause( 131714, [ =( multiplication( antidomain( X ), codomain( Y ) )
% 70.05/70.47 , multiplication( multiplication( antidomain( X ), codomain( Y ) ),
% 70.05/70.47 antidomain( X ) ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131717, [ =( multiplication( codomain( Y ), antidomain( X ) ),
% 70.05/70.47 multiplication( antidomain( X ), codomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 131716, [ =( multiplication( antidomain( X ), codomain( Y ) ),
% 70.05/70.47 multiplication( codomain( Y ), antidomain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 30621, [ =( multiplication( codomain( Y ), antidomain( X ) ),
% 70.05/70.47 multiplication( antidomain( X ), codomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 131717, [ =( multiplication( codomain( Y ), antidomain( X ) ),
% 70.05/70.47 multiplication( antidomain( X ), codomain( Y ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131719, [ =( zero, multiplication( X, codomain( multiplication( Y,
% 70.05/70.47 coantidomain( X ) ) ) ) ) ] )
% 70.05/70.47 , clause( 30616, [ =( multiplication( X, codomain( multiplication( Y,
% 70.05/70.47 coantidomain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131720, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, codomain( X ) ) ) ) ) ] )
% 70.05/70.47 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131719, [ =( zero, multiplication( X, codomain( multiplication(
% 70.05/70.47 Y, coantidomain( X ) ) ) ) ) ] )
% 70.05/70.47 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.47 coantidomain( X ) ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131721, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, codomain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131720, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, codomain( X ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 30656, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, codomain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131721, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, codomain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131723, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, codomain( X ) ) ) ) ) ] )
% 70.05/70.47 , clause( 30656, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, codomain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131730, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, X ) ) ) ) ] )
% 70.05/70.47 , clause( 448, [ =( multiplication( multiplication( Y, X ), codomain( X ) )
% 70.05/70.47 , multiplication( Y, X ) ) ] )
% 70.05/70.47 , 0, clause( 131723, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, codomain( X ) ) ) ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, multiplication( Y, X ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131731, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, X ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131730, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, X ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 30739, [ =( multiplication( coantidomain( Y ), codomain(
% 70.05/70.47 multiplication( X, Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131731, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, X ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131733, [ =( multiplication( antidomain( Y ), codomain( X ) ),
% 70.05/70.47 multiplication( codomain( X ), antidomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 30621, [ =( multiplication( codomain( Y ), antidomain( X ) ),
% 70.05/70.47 multiplication( antidomain( X ), codomain( Y ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131735, [ =( multiplication( antidomain( X ), codomain( domain( Y )
% 70.05/70.47 ) ), multiplication( domain( Y ), antidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 15794, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131733, [ =( multiplication( antidomain( Y ), codomain( X ) )
% 70.05/70.47 , multiplication( codomain( X ), antidomain( Y ) ) ) ] )
% 70.05/70.47 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.47 Y ) ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131736, [ =( multiplication( antidomain( X ), domain( Y ) ),
% 70.05/70.47 multiplication( domain( Y ), antidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 15794, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131735, [ =( multiplication( antidomain( X ), codomain( domain(
% 70.05/70.47 Y ) ) ), multiplication( domain( Y ), antidomain( X ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131738, [ =( multiplication( domain( Y ), antidomain( X ) ),
% 70.05/70.47 multiplication( antidomain( X ), domain( Y ) ) ) ] )
% 70.05/70.47 , clause( 131736, [ =( multiplication( antidomain( X ), domain( Y ) ),
% 70.05/70.47 multiplication( domain( Y ), antidomain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 30988, [ =( multiplication( domain( X ), antidomain( Y ) ),
% 70.05/70.47 multiplication( antidomain( Y ), domain( X ) ) ) ] )
% 70.05/70.47 , clause( 131738, [ =( multiplication( domain( Y ), antidomain( X ) ),
% 70.05/70.47 multiplication( antidomain( X ), domain( Y ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131741, [ =( multiplication( antidomain( Y ), codomain( X ) ),
% 70.05/70.47 multiplication( codomain( X ), antidomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 30621, [ =( multiplication( codomain( Y ), antidomain( X ) ),
% 70.05/70.47 multiplication( antidomain( X ), codomain( Y ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131743, [ =( multiplication( antidomain( X ), codomain(
% 70.05/70.47 coantidomain( Y ) ) ), multiplication( coantidomain( Y ), antidomain( X )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, clause( 131741, [ =( multiplication( antidomain( Y ), codomain( X ) )
% 70.05/70.47 , multiplication( codomain( X ), antidomain( Y ) ) ) ] )
% 70.05/70.47 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 70.05/70.47 coantidomain( Y ) ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131744, [ =( multiplication( antidomain( X ), coantidomain( Y ) ),
% 70.05/70.47 multiplication( coantidomain( Y ), antidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 2022, [ =( codomain( coantidomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, clause( 131743, [ =( multiplication( antidomain( X ), codomain(
% 70.05/70.47 coantidomain( Y ) ) ), multiplication( coantidomain( Y ), antidomain( X )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131746, [ =( multiplication( coantidomain( Y ), antidomain( X ) ),
% 70.05/70.47 multiplication( antidomain( X ), coantidomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 131744, [ =( multiplication( antidomain( X ), coantidomain( Y ) )
% 70.05/70.47 , multiplication( coantidomain( Y ), antidomain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 31008, [ =( multiplication( coantidomain( X ), antidomain( Y ) ),
% 70.05/70.47 multiplication( antidomain( Y ), coantidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 131746, [ =( multiplication( coantidomain( Y ), antidomain( X ) )
% 70.05/70.47 , multiplication( antidomain( X ), coantidomain( Y ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131749, [ =( multiplication( antidomain( Y ), domain( X ) ),
% 70.05/70.47 multiplication( domain( X ), antidomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 30988, [ =( multiplication( domain( X ), antidomain( Y ) ),
% 70.05/70.47 multiplication( antidomain( Y ), domain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131751, [ =( multiplication( antidomain( codomain( X ) ), domain( Y
% 70.05/70.47 ) ), multiplication( domain( Y ), coantidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 16871, [ =( antidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131749, [ =( multiplication( antidomain( Y ), domain( X ) ),
% 70.05/70.47 multiplication( domain( X ), antidomain( Y ) ) ) ] )
% 70.05/70.47 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 70.05/70.47 :=( Y, codomain( X ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131752, [ =( multiplication( coantidomain( X ), domain( Y ) ),
% 70.05/70.47 multiplication( domain( Y ), coantidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 16871, [ =( antidomain( codomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131751, [ =( multiplication( antidomain( codomain( X ) ),
% 70.05/70.47 domain( Y ) ), multiplication( domain( Y ), coantidomain( X ) ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131754, [ =( multiplication( domain( Y ), coantidomain( X ) ),
% 70.05/70.47 multiplication( coantidomain( X ), domain( Y ) ) ) ] )
% 70.05/70.47 , clause( 131752, [ =( multiplication( coantidomain( X ), domain( Y ) ),
% 70.05/70.47 multiplication( domain( Y ), coantidomain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 31079, [ =( multiplication( domain( Y ), coantidomain( X ) ),
% 70.05/70.47 multiplication( coantidomain( X ), domain( Y ) ) ) ] )
% 70.05/70.47 , clause( 131754, [ =( multiplication( domain( Y ), coantidomain( X ) ),
% 70.05/70.47 multiplication( coantidomain( X ), domain( Y ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131756, [ =( multiplication( antidomain( Y ), domain( X ) ),
% 70.05/70.47 multiplication( domain( X ), antidomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 30988, [ =( multiplication( domain( X ), antidomain( Y ) ),
% 70.05/70.47 multiplication( antidomain( Y ), domain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131757, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 domain( Y ) ) ) ] )
% 70.05/70.47 , clause( 4188, [ =( multiplication( antidomain( addition( Y, X ) ), domain(
% 70.05/70.47 X ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131758, [ =( zero, multiplication( domain( Y ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 131756, [ =( multiplication( antidomain( Y ), domain( X ) ),
% 70.05/70.47 multiplication( domain( X ), antidomain( Y ) ) ) ] )
% 70.05/70.47 , 0, clause( 131757, [ =( zero, multiplication( antidomain( addition( X, Y
% 70.05/70.47 ) ), domain( Y ) ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, addition( X, Y ) )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131759, [ =( multiplication( domain( X ), antidomain( addition( Y,
% 70.05/70.47 X ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131758, [ =( zero, multiplication( domain( Y ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 31114, [ =( multiplication( domain( Y ), antidomain( addition( X, Y
% 70.05/70.47 ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131759, [ =( multiplication( domain( X ), antidomain( addition( Y
% 70.05/70.47 , X ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131760, [ =( multiplication( antidomain( Y ), domain( X ) ),
% 70.05/70.47 multiplication( domain( X ), antidomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 30988, [ =( multiplication( domain( X ), antidomain( Y ) ),
% 70.05/70.47 multiplication( antidomain( Y ), domain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131761, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 domain( X ) ) ) ] )
% 70.05/70.47 , clause( 4137, [ =( multiplication( antidomain( addition( X, Y ) ), domain(
% 70.05/70.47 X ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131762, [ =( zero, multiplication( domain( X ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 131760, [ =( multiplication( antidomain( Y ), domain( X ) ),
% 70.05/70.47 multiplication( domain( X ), antidomain( Y ) ) ) ] )
% 70.05/70.47 , 0, clause( 131761, [ =( zero, multiplication( antidomain( addition( X, Y
% 70.05/70.47 ) ), domain( X ) ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, addition( X, Y ) )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131763, [ =( multiplication( domain( X ), antidomain( addition( X,
% 70.05/70.47 Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131762, [ =( zero, multiplication( domain( X ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 31115, [ =( multiplication( domain( X ), antidomain( addition( X, Y
% 70.05/70.47 ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131763, [ =( multiplication( domain( X ), antidomain( addition( X
% 70.05/70.47 , Y ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131765, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.47 X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ] )
% 70.05/70.47 , clause( 71, [ =( multiplication( multiplication( multiplication( X,
% 70.05/70.47 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131768, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.47 X, antidomain( zero ) ), domain( Y ) ), antidomain( addition( Z, Y ) ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , clause( 31114, [ =( multiplication( domain( Y ), antidomain( addition( X
% 70.05/70.47 , Y ) ) ), zero ) ] )
% 70.05/70.47 , 0, clause( 131765, [ =( zero, multiplication( multiplication(
% 70.05/70.47 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, domain( Y ) ), :=( Z, antidomain( addition( Z, Y ) ) )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131769, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.47 X, one ), domain( Y ) ), antidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.47 , 0, clause( 131768, [ =( zero, multiplication( multiplication(
% 70.05/70.47 multiplication( X, antidomain( zero ) ), domain( Y ) ), antidomain(
% 70.05/70.47 addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 70.05/70.47 :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131770, [ =( zero, multiplication( multiplication( X, domain( Y ) )
% 70.05/70.47 , antidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.47 , 0, clause( 131769, [ =( zero, multiplication( multiplication(
% 70.05/70.47 multiplication( X, one ), domain( Y ) ), antidomain( addition( Z, Y ) ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131771, [ =( multiplication( multiplication( X, domain( Y ) ),
% 70.05/70.47 antidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131770, [ =( zero, multiplication( multiplication( X, domain( Y )
% 70.05/70.47 ), antidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 31204, [ =( multiplication( multiplication( Z, domain( X ) ),
% 70.05/70.47 antidomain( addition( Y, X ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131771, [ =( multiplication( multiplication( X, domain( Y ) ),
% 70.05/70.47 antidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131773, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.47 X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ] )
% 70.05/70.47 , clause( 71, [ =( multiplication( multiplication( multiplication( X,
% 70.05/70.47 antidomain( multiplication( Y, Z ) ) ), Y ), Z ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131776, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.47 X, antidomain( zero ) ), domain( Y ) ), antidomain( addition( Y, Z ) ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , clause( 31115, [ =( multiplication( domain( X ), antidomain( addition( X
% 70.05/70.47 , Y ) ) ), zero ) ] )
% 70.05/70.47 , 0, clause( 131773, [ =( zero, multiplication( multiplication(
% 70.05/70.47 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), Z ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, domain( Y ) ), :=( Z, antidomain( addition( Y, Z ) ) )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131777, [ =( zero, multiplication( multiplication( multiplication(
% 70.05/70.47 X, one ), domain( Y ) ), antidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.47 , clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.47 , 0, clause( 131776, [ =( zero, multiplication( multiplication(
% 70.05/70.47 multiplication( X, antidomain( zero ) ), domain( Y ) ), antidomain(
% 70.05/70.47 addition( Y, Z ) ) ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 70.05/70.47 :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131778, [ =( zero, multiplication( multiplication( X, domain( Y ) )
% 70.05/70.47 , antidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.47 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.47 , 0, clause( 131777, [ =( zero, multiplication( multiplication(
% 70.05/70.47 multiplication( X, one ), domain( Y ) ), antidomain( addition( Y, Z ) ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131779, [ =( multiplication( multiplication( X, domain( Y ) ),
% 70.05/70.47 antidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131778, [ =( zero, multiplication( multiplication( X, domain( Y )
% 70.05/70.47 ), antidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 31238, [ =( multiplication( multiplication( Z, domain( X ) ),
% 70.05/70.47 antidomain( addition( X, Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131779, [ =( multiplication( multiplication( X, domain( Y ) ),
% 70.05/70.47 antidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131780, [ =( multiplication( coantidomain( Y ), domain( X ) ),
% 70.05/70.47 multiplication( domain( X ), coantidomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 31079, [ =( multiplication( domain( Y ), coantidomain( X ) ),
% 70.05/70.47 multiplication( coantidomain( X ), domain( Y ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131781, [ =( zero, multiplication( multiplication( X, domain( Y ) )
% 70.05/70.47 , antidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.47 , clause( 31238, [ =( multiplication( multiplication( Z, domain( X ) ),
% 70.05/70.47 antidomain( addition( X, Y ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131782, [ =( zero, multiplication( multiplication( domain( Y ),
% 70.05/70.47 coantidomain( X ) ), antidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.47 , clause( 131780, [ =( multiplication( coantidomain( Y ), domain( X ) ),
% 70.05/70.47 multiplication( domain( X ), coantidomain( Y ) ) ) ] )
% 70.05/70.47 , 0, clause( 131781, [ =( zero, multiplication( multiplication( X, domain(
% 70.05/70.47 Y ) ), antidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, coantidomain( X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131783, [ =( multiplication( multiplication( domain( X ),
% 70.05/70.47 coantidomain( Y ) ), antidomain( addition( X, Z ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131782, [ =( zero, multiplication( multiplication( domain( Y ),
% 70.05/70.47 coantidomain( X ) ), antidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 31862, [ =( multiplication( multiplication( domain( Y ),
% 70.05/70.47 coantidomain( X ) ), antidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131783, [ =( multiplication( multiplication( domain( X ),
% 70.05/70.47 coantidomain( Y ) ), antidomain( addition( X, Z ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131785, [ =( zero, multiplication( codomain( multiplication(
% 70.05/70.47 antidomain( multiplication( X, Y ) ), X ) ), Y ) ) ] )
% 70.05/70.47 , clause( 6912, [ =( multiplication( codomain( multiplication( antidomain(
% 70.05/70.47 multiplication( X, Y ) ), X ) ), Y ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131790, [ =( zero, multiplication( codomain( multiplication(
% 70.05/70.47 antidomain( zero ), multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.47 addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 31204, [ =( multiplication( multiplication( Z, domain( X ) ),
% 70.05/70.47 antidomain( addition( Y, X ) ) ), zero ) ] )
% 70.05/70.47 , 0, clause( 131785, [ =( zero, multiplication( codomain( multiplication(
% 70.05/70.47 antidomain( multiplication( X, Y ) ), X ) ), Y ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 70.05/70.47 substitution( 1, [ :=( X, multiplication( X, domain( Y ) ) ), :=( Y,
% 70.05/70.47 antidomain( addition( Z, Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131791, [ =( zero, multiplication( codomain( multiplication(
% 70.05/70.47 multiplication( antidomain( zero ), X ), domain( Y ) ) ), antidomain(
% 70.05/70.47 addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 6, [ =( multiplication( X, multiplication( Y, Z ) ),
% 70.05/70.47 multiplication( multiplication( X, Y ), Z ) ) ] )
% 70.05/70.47 , 0, clause( 131790, [ =( zero, multiplication( codomain( multiplication(
% 70.05/70.47 antidomain( zero ), multiplication( X, domain( Y ) ) ) ), antidomain(
% 70.05/70.47 addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, antidomain( zero ) ), :=( Y, X ), :=( Z,
% 70.05/70.47 domain( Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131792, [ =( zero, multiplication( codomain( multiplication(
% 70.05/70.47 multiplication( one, X ), domain( Y ) ) ), antidomain( addition( Z, Y ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.47 , 0, clause( 131791, [ =( zero, multiplication( codomain( multiplication(
% 70.05/70.47 multiplication( antidomain( zero ), X ), domain( Y ) ) ), antidomain(
% 70.05/70.47 addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 70.05/70.47 :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131793, [ =( zero, multiplication( codomain( multiplication( X,
% 70.05/70.47 domain( Y ) ) ), antidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.47 , 0, clause( 131792, [ =( zero, multiplication( codomain( multiplication(
% 70.05/70.47 multiplication( one, X ), domain( Y ) ) ), antidomain( addition( Z, Y ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131794, [ =( multiplication( codomain( multiplication( X, domain( Y
% 70.05/70.47 ) ) ), antidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131793, [ =( zero, multiplication( codomain( multiplication( X,
% 70.05/70.47 domain( Y ) ) ), antidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 31957, [ =( multiplication( codomain( multiplication( X, domain( Y
% 70.05/70.47 ) ) ), antidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131794, [ =( multiplication( codomain( multiplication( X, domain(
% 70.05/70.47 Y ) ) ), antidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131796, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, X ) ) ) ) ] )
% 70.05/70.47 , clause( 30739, [ =( multiplication( coantidomain( Y ), codomain(
% 70.05/70.47 multiplication( X, Y ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131801, [ =( zero, multiplication( coantidomain( codomain( X ) ),
% 70.05/70.47 codomain( addition( multiplication( Y, X ), codomain( X ) ) ) ) ) ] )
% 70.05/70.47 , clause( 1141, [ =( multiplication( addition( multiplication( X, Y ), one
% 70.05/70.47 ), codomain( Y ) ), addition( multiplication( X, Y ), codomain( Y ) ) )
% 70.05/70.47 ] )
% 70.05/70.47 , 0, clause( 131796, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( Y, X ) ) ) ) ] )
% 70.05/70.47 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, codomain( X ) ), :=( Y, addition( multiplication( Y, X ), one ) )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131802, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 addition( multiplication( Y, X ), codomain( X ) ) ) ) ) ] )
% 70.05/70.47 , clause( 1024, [ =( coantidomain( codomain( X ) ), coantidomain( X ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, clause( 131801, [ =( zero, multiplication( coantidomain( codomain( X )
% 70.05/70.47 ), codomain( addition( multiplication( Y, X ), codomain( X ) ) ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131803, [ =( multiplication( coantidomain( X ), codomain( addition(
% 70.05/70.47 multiplication( Y, X ), codomain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131802, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 addition( multiplication( Y, X ), codomain( X ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 32484, [ =( multiplication( coantidomain( Y ), codomain( addition(
% 70.05/70.47 multiplication( X, Y ), codomain( Y ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131803, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 addition( multiplication( Y, X ), codomain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131804, [ =( zero, multiplication( codomain( multiplication( X,
% 70.05/70.47 domain( Y ) ) ), antidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 31957, [ =( multiplication( codomain( multiplication( X, domain(
% 70.05/70.47 Y ) ) ), antidomain( addition( Z, Y ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131806, [ =( zero, multiplication( antidomain( addition( Z, Y ) ),
% 70.05/70.47 codomain( multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 30621, [ =( multiplication( codomain( Y ), antidomain( X ) ),
% 70.05/70.47 multiplication( antidomain( X ), codomain( Y ) ) ) ] )
% 70.05/70.47 , 0, clause( 131804, [ =( zero, multiplication( codomain( multiplication( X
% 70.05/70.47 , domain( Y ) ) ), antidomain( addition( Z, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, addition( Z, Y ) ), :=( Y, multiplication(
% 70.05/70.47 X, domain( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 70.05/70.47 Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131807, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 codomain( multiplication( Z, domain( Y ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131806, [ =( zero, multiplication( antidomain( addition( Z, Y ) )
% 70.05/70.47 , codomain( multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 34333, [ =( multiplication( antidomain( addition( Z, Y ) ),
% 70.05/70.47 codomain( multiplication( X, domain( Y ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131807, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 codomain( multiplication( Z, domain( Y ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131809, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 codomain( multiplication( Z, domain( Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 34333, [ =( multiplication( antidomain( addition( Z, Y ) ),
% 70.05/70.47 codomain( multiplication( X, domain( Y ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131812, [ =( zero, multiplication( antidomain( addition( Y, X ) ),
% 70.05/70.47 codomain( multiplication( T, domain( Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 628, [ =( addition( addition( Z, multiplication( X, codomain( Y )
% 70.05/70.47 ) ), X ), addition( X, Z ) ) ] )
% 70.05/70.47 , 0, clause( 131809, [ =( zero, multiplication( antidomain( addition( X, Y
% 70.05/70.47 ) ), codomain( multiplication( Z, domain( Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 70.05/70.47 substitution( 1, [ :=( X, addition( X, multiplication( Y, codomain( Z ) )
% 70.05/70.47 ) ), :=( Y, Y ), :=( Z, T )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131813, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 codomain( multiplication( Z, domain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131812, [ =( zero, multiplication( antidomain( addition( Y, X ) )
% 70.05/70.47 , codomain( multiplication( T, domain( Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Z )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 34382, [ =( multiplication( antidomain( addition( Y, X ) ),
% 70.05/70.47 codomain( multiplication( T, domain( Y ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131813, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 codomain( multiplication( Z, domain( X ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131814, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 codomain( multiplication( Z, domain( X ) ) ) ) ) ] )
% 70.05/70.47 , clause( 34382, [ =( multiplication( antidomain( addition( Y, X ) ),
% 70.05/70.47 codomain( multiplication( T, domain( Y ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Z )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131816, [ =( zero, antidomain( addition( X, coantidomain(
% 70.05/70.47 multiplication( Y, domain( X ) ) ) ) ) ) ] )
% 70.05/70.47 , clause( 618, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.47 Y ) ) ), codomain( Y ) ), antidomain( addition( X, coantidomain( Y ) ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, clause( 131814, [ =( zero, multiplication( antidomain( addition( X, Y
% 70.05/70.47 ) ), codomain( multiplication( Z, domain( X ) ) ) ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiplication( Y, domain( X
% 70.05/70.47 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, coantidomain(
% 70.05/70.47 multiplication( Y, domain( X ) ) ) ), :=( Z, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131817, [ =( antidomain( addition( X, coantidomain( multiplication(
% 70.05/70.47 Y, domain( X ) ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131816, [ =( zero, antidomain( addition( X, coantidomain(
% 70.05/70.47 multiplication( Y, domain( X ) ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 34410, [ =( antidomain( addition( X, coantidomain( multiplication(
% 70.05/70.47 Y, domain( X ) ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131817, [ =( antidomain( addition( X, coantidomain(
% 70.05/70.47 multiplication( Y, domain( X ) ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131819, [ =( zero, antidomain( addition( X, coantidomain(
% 70.05/70.47 multiplication( Y, domain( X ) ) ) ) ) ) ] )
% 70.05/70.47 , clause( 34410, [ =( antidomain( addition( X, coantidomain( multiplication(
% 70.05/70.47 Y, domain( X ) ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131821, [ =( zero, antidomain( addition( X, coantidomain( domain( X
% 70.05/70.47 ) ) ) ) ) ] )
% 70.05/70.47 , clause( 1160, [ =( multiplication( addition( multiplication(
% 70.05/70.47 multiplication( X, antidomain( multiplication( Y, Z ) ) ), Y ), one ), Z
% 70.05/70.47 ), Z ) ] )
% 70.05/70.47 , 0, clause( 131819, [ =( zero, antidomain( addition( X, coantidomain(
% 70.05/70.47 multiplication( Y, domain( X ) ) ) ) ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, domain( X ) )] )
% 70.05/70.47 , substitution( 1, [ :=( X, X ), :=( Y, addition( multiplication(
% 70.05/70.47 multiplication( Y, antidomain( multiplication( Z, domain( X ) ) ) ), Z )
% 70.05/70.47 , one ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131822, [ =( zero, antidomain( addition( X, antidomain( X ) ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131821, [ =( zero, antidomain( addition( X, coantidomain(
% 70.05/70.47 domain( X ) ) ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131823, [ =( antidomain( addition( X, antidomain( X ) ) ), zero ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 131822, [ =( zero, antidomain( addition( X, antidomain( X ) ) ) )
% 70.05/70.47 ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 34416, [ =( antidomain( addition( Z, antidomain( Z ) ) ), zero ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 131823, [ =( antidomain( addition( X, antidomain( X ) ) ), zero )
% 70.05/70.47 ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Z )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131825, [ =( domain( X ), coantidomain( antidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131827, [ =( domain( addition( X, antidomain( X ) ) ), coantidomain(
% 70.05/70.47 zero ) ) ] )
% 70.05/70.47 , clause( 34416, [ =( antidomain( addition( Z, antidomain( Z ) ) ), zero )
% 70.05/70.47 ] )
% 70.05/70.47 , 0, clause( 131825, [ =( domain( X ), coantidomain( antidomain( X ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 70.05/70.47 substitution( 1, [ :=( X, addition( X, antidomain( X ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131828, [ =( domain( addition( X, antidomain( X ) ) ), one ) ] )
% 70.05/70.47 , clause( 41, [ =( coantidomain( zero ), one ) ] )
% 70.05/70.47 , 0, clause( 131827, [ =( domain( addition( X, antidomain( X ) ) ),
% 70.05/70.47 coantidomain( zero ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 34492, [ =( domain( addition( X, antidomain( X ) ) ), one ) ] )
% 70.05/70.47 , clause( 131828, [ =( domain( addition( X, antidomain( X ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131830, [ =( one, domain( addition( X, antidomain( X ) ) ) ) ] )
% 70.05/70.47 , clause( 34492, [ =( domain( addition( X, antidomain( X ) ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131831, [ =( one, domain( addition( antidomain( X ), X ) ) ) ] )
% 70.05/70.47 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.47 , 0, clause( 131830, [ =( one, domain( addition( X, antidomain( X ) ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, antidomain( X ) )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131834, [ =( domain( addition( antidomain( X ), X ) ), one ) ] )
% 70.05/70.47 , clause( 131831, [ =( one, domain( addition( antidomain( X ), X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 34566, [ =( domain( addition( antidomain( X ), X ) ), one ) ] )
% 70.05/70.47 , clause( 131834, [ =( domain( addition( antidomain( X ), X ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131835, [ =( coantidomain( addition( Y, domain( X ) ) ),
% 70.05/70.47 multiplication( antidomain( X ), coantidomain( addition( Y, domain( X ) )
% 70.05/70.47 ) ) ) ] )
% 70.05/70.47 , clause( 1267, [ =( multiplication( antidomain( Y ), coantidomain(
% 70.05/70.47 addition( X, domain( Y ) ) ) ), coantidomain( addition( X, domain( Y ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131837, [ =( coantidomain( addition( X, domain( addition( Y,
% 70.05/70.47 coantidomain( X ) ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 18826, [ =( multiplication( antidomain( addition( X, coantidomain(
% 70.05/70.47 Y ) ) ), coantidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.47 , 0, clause( 131835, [ =( coantidomain( addition( Y, domain( X ) ) ),
% 70.05/70.47 multiplication( antidomain( X ), coantidomain( addition( Y, domain( X ) )
% 70.05/70.47 ) ) ) ] )
% 70.05/70.47 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, domain( addition(
% 70.05/70.47 Y, coantidomain( X ) ) ) )] ), substitution( 1, [ :=( X, addition( Y,
% 70.05/70.47 coantidomain( X ) ) ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 37438, [ =( coantidomain( addition( Y, domain( addition( X,
% 70.05/70.47 coantidomain( Y ) ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131837, [ =( coantidomain( addition( X, domain( addition( Y,
% 70.05/70.47 coantidomain( X ) ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131839, [ =( coantidomain( addition( Y, domain( X ) ) ),
% 70.05/70.47 multiplication( antidomain( X ), coantidomain( addition( Y, domain( X ) )
% 70.05/70.47 ) ) ) ] )
% 70.05/70.47 , clause( 1267, [ =( multiplication( antidomain( Y ), coantidomain(
% 70.05/70.47 addition( X, domain( Y ) ) ) ), coantidomain( addition( X, domain( Y ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131841, [ =( coantidomain( addition( X, domain( addition(
% 70.05/70.47 coantidomain( X ), Y ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 22410, [ =( multiplication( antidomain( addition( coantidomain( Y
% 70.05/70.47 ), T ) ), coantidomain( addition( Y, X ) ) ), zero ) ] )
% 70.05/70.47 , 0, clause( 131839, [ =( coantidomain( addition( Y, domain( X ) ) ),
% 70.05/70.47 multiplication( antidomain( X ), coantidomain( addition( Y, domain( X ) )
% 70.05/70.47 ) ) ) ] )
% 70.05/70.47 , 0, 9, substitution( 0, [ :=( X, domain( addition( coantidomain( X ), Y )
% 70.05/70.47 ) ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ), substitution( 1, [ :=( X,
% 70.05/70.47 addition( coantidomain( X ), Y ) ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 37439, [ =( coantidomain( addition( X, domain( addition(
% 70.05/70.47 coantidomain( X ), Y ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131841, [ =( coantidomain( addition( X, domain( addition(
% 70.05/70.47 coantidomain( X ), Y ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131844, [ =( zero, coantidomain( addition( X, domain( addition( Y,
% 70.05/70.47 coantidomain( X ) ) ) ) ) ) ] )
% 70.05/70.47 , clause( 37438, [ =( coantidomain( addition( Y, domain( addition( X,
% 70.05/70.47 coantidomain( Y ) ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131849, [ =( zero, coantidomain( addition( X, domain( coantidomain(
% 70.05/70.47 X ) ) ) ) ) ] )
% 70.05/70.47 , clause( 27014, [ =( addition( coantidomain( addition( Y, codomain( X ) )
% 70.05/70.47 ), coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131844, [ =( zero, coantidomain( addition( X, domain( addition(
% 70.05/70.47 Y, coantidomain( X ) ) ) ) ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, coantidomain( addition( Y, codomain( X ) ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131850, [ =( zero, coantidomain( addition( X, coantidomain( X ) ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , clause( 16900, [ =( domain( coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131849, [ =( zero, coantidomain( addition( X, domain(
% 70.05/70.47 coantidomain( X ) ) ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131851, [ =( coantidomain( addition( X, coantidomain( X ) ) ), zero
% 70.05/70.47 ) ] )
% 70.05/70.47 , clause( 131850, [ =( zero, coantidomain( addition( X, coantidomain( X ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 37459, [ =( coantidomain( addition( Y, coantidomain( Y ) ) ), zero
% 70.05/70.47 ) ] )
% 70.05/70.47 , clause( 131851, [ =( coantidomain( addition( X, coantidomain( X ) ) ),
% 70.05/70.47 zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131853, [ =( codomain( X ), antidomain( coantidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 16872, [ =( antidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131855, [ =( codomain( addition( X, coantidomain( X ) ) ),
% 70.05/70.47 antidomain( zero ) ) ] )
% 70.05/70.47 , clause( 37459, [ =( coantidomain( addition( Y, coantidomain( Y ) ) ),
% 70.05/70.47 zero ) ] )
% 70.05/70.47 , 0, clause( 131853, [ =( codomain( X ), antidomain( coantidomain( X ) ) )
% 70.05/70.47 ] )
% 70.05/70.47 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, addition( X, coantidomain( X ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131856, [ =( codomain( addition( X, coantidomain( X ) ) ), one ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 93, [ =( antidomain( zero ), one ) ] )
% 70.05/70.47 , 0, clause( 131855, [ =( codomain( addition( X, coantidomain( X ) ) ),
% 70.05/70.47 antidomain( zero ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 37538, [ =( codomain( addition( X, coantidomain( X ) ) ), one ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 131856, [ =( codomain( addition( X, coantidomain( X ) ) ), one )
% 70.05/70.47 ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131858, [ =( addition( addition( Y, Z ), X ), addition( addition( X
% 70.05/70.47 , Y ), Z ) ) ] )
% 70.05/70.47 , clause( 33, [ =( addition( addition( X, Y ), Z ), addition( addition( Y,
% 70.05/70.47 Z ), X ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131859, [ =( one, codomain( addition( X, coantidomain( X ) ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 37538, [ =( codomain( addition( X, coantidomain( X ) ) ), one ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131860, [ =( one, codomain( addition( addition( coantidomain(
% 70.05/70.47 addition( X, Y ) ), X ), Y ) ) ) ] )
% 70.05/70.47 , clause( 131858, [ =( addition( addition( Y, Z ), X ), addition( addition(
% 70.05/70.47 X, Y ), Z ) ) ] )
% 70.05/70.47 , 0, clause( 131859, [ =( one, codomain( addition( X, coantidomain( X ) ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, coantidomain( addition( X, Y ) ) ), :=( Y
% 70.05/70.47 , X ), :=( Z, Y )] ), substitution( 1, [ :=( X, addition( X, Y ) )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131861, [ =( one, codomain( addition( addition( Y, coantidomain(
% 70.05/70.47 addition( X, Y ) ) ), X ) ) ) ] )
% 70.05/70.47 , clause( 131858, [ =( addition( addition( Y, Z ), X ), addition( addition(
% 70.05/70.47 X, Y ), Z ) ) ] )
% 70.05/70.47 , 0, clause( 131860, [ =( one, codomain( addition( addition( coantidomain(
% 70.05/70.47 addition( X, Y ) ), X ), Y ) ) ) ] )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, coantidomain( addition( X, Y
% 70.05/70.47 ) ) ), :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131864, [ =( codomain( addition( addition( X, coantidomain(
% 70.05/70.47 addition( Y, X ) ) ), Y ) ), one ) ] )
% 70.05/70.47 , clause( 131861, [ =( one, codomain( addition( addition( Y, coantidomain(
% 70.05/70.47 addition( X, Y ) ) ), X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 37595, [ =( codomain( addition( addition( Y, coantidomain( addition(
% 70.05/70.47 X, Y ) ) ), X ) ), one ) ] )
% 70.05/70.47 , clause( 131864, [ =( codomain( addition( addition( X, coantidomain(
% 70.05/70.47 addition( Y, X ) ) ), Y ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131866, [ =( one, codomain( addition( X, coantidomain( X ) ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 37538, [ =( codomain( addition( X, coantidomain( X ) ) ), one ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131867, [ =( one, codomain( addition( coantidomain( X ), X ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 2, [ =( addition( X, Y ), addition( Y, X ) ) ] )
% 70.05/70.47 , 0, clause( 131866, [ =( one, codomain( addition( X, coantidomain( X ) ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, coantidomain( X ) )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131870, [ =( codomain( addition( coantidomain( X ), X ) ), one ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 131867, [ =( one, codomain( addition( coantidomain( X ), X ) ) )
% 70.05/70.47 ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 37597, [ =( codomain( addition( coantidomain( X ), X ) ), one ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 131870, [ =( codomain( addition( coantidomain( X ), X ) ), one )
% 70.05/70.47 ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131872, [ =( zero, coantidomain( addition( X, domain( addition(
% 70.05/70.47 coantidomain( X ), Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 37439, [ =( coantidomain( addition( X, domain( addition(
% 70.05/70.47 coantidomain( X ), Y ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131874, [ =( zero, coantidomain( addition( multiplication( X, Y ),
% 70.05/70.47 domain( coantidomain( multiplication( codomain( X ), Y ) ) ) ) ) ) ] )
% 70.05/70.47 , clause( 149, [ =( addition( coantidomain( multiplication( X, Y ) ),
% 70.05/70.47 coantidomain( multiplication( codomain( X ), Y ) ) ), coantidomain(
% 70.05/70.47 multiplication( codomain( X ), Y ) ) ) ] )
% 70.05/70.47 , 0, clause( 131872, [ =( zero, coantidomain( addition( X, domain( addition(
% 70.05/70.47 coantidomain( X ), Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, multiplication( X, Y ) ), :=( Y, coantidomain( multiplication(
% 70.05/70.47 codomain( X ), Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131875, [ =( zero, coantidomain( addition( multiplication( X, Y ),
% 70.05/70.47 coantidomain( multiplication( codomain( X ), Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 16900, [ =( domain( coantidomain( X ) ), coantidomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131874, [ =( zero, coantidomain( addition( multiplication( X,
% 70.05/70.47 Y ), domain( coantidomain( multiplication( codomain( X ), Y ) ) ) ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 7, substitution( 0, [ :=( X, multiplication( codomain( X ), Y ) )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131876, [ =( coantidomain( addition( multiplication( X, Y ),
% 70.05/70.47 coantidomain( multiplication( codomain( X ), Y ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131875, [ =( zero, coantidomain( addition( multiplication( X, Y )
% 70.05/70.47 , coantidomain( multiplication( codomain( X ), Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 39457, [ =( coantidomain( addition( multiplication( X, Y ),
% 70.05/70.47 coantidomain( multiplication( codomain( X ), Y ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131876, [ =( coantidomain( addition( multiplication( X, Y ),
% 70.05/70.47 coantidomain( multiplication( codomain( X ), Y ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131878, [ =( addition( X, multiplication( coantidomain( Y ), Z ) )
% 70.05/70.47 , addition( X, multiplication( coantidomain( Y ), addition( Z, X ) ) ) )
% 70.05/70.47 ] )
% 70.05/70.47 , clause( 1295, [ =( addition( X, multiplication( coantidomain( Y ),
% 70.05/70.47 addition( Z, X ) ) ), addition( X, multiplication( coantidomain( Y ), Z )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131880, [ =( addition( codomain( X ), multiplication( coantidomain(
% 70.05/70.47 Y ), coantidomain( X ) ) ), addition( codomain( X ), multiplication(
% 70.05/70.47 coantidomain( Y ), one ) ) ) ] )
% 70.05/70.47 , clause( 40, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 70.05/70.47 , 0, clause( 131878, [ =( addition( X, multiplication( coantidomain( Y ), Z
% 70.05/70.47 ) ), addition( X, multiplication( coantidomain( Y ), addition( Z, X ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.47 codomain( X ) ), :=( Y, Y ), :=( Z, coantidomain( X ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131881, [ =( addition( codomain( X ), multiplication( coantidomain(
% 70.05/70.47 Y ), coantidomain( X ) ) ), addition( codomain( X ), coantidomain( Y ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.47 , 0, clause( 131880, [ =( addition( codomain( X ), multiplication(
% 70.05/70.47 coantidomain( Y ), coantidomain( X ) ) ), addition( codomain( X ),
% 70.05/70.47 multiplication( coantidomain( Y ), one ) ) ) ] )
% 70.05/70.47 , 0, 12, substitution( 0, [ :=( X, coantidomain( Y ) )] ), substitution( 1
% 70.05/70.47 , [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 40392, [ =( addition( codomain( X ), multiplication( coantidomain(
% 70.05/70.47 Y ), coantidomain( X ) ) ), addition( codomain( X ), coantidomain( Y ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , clause( 131881, [ =( addition( codomain( X ), multiplication(
% 70.05/70.47 coantidomain( Y ), coantidomain( X ) ) ), addition( codomain( X ),
% 70.05/70.47 coantidomain( Y ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131884, [ =( zero, multiplication( multiplication( domain( X ),
% 70.05/70.47 coantidomain( Y ) ), antidomain( addition( X, Z ) ) ) ) ] )
% 70.05/70.47 , clause( 31862, [ =( multiplication( multiplication( domain( Y ),
% 70.05/70.47 coantidomain( X ) ), antidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131885, [ =( zero, multiplication( coantidomain( addition( Y,
% 70.05/70.47 antidomain( X ) ) ), antidomain( addition( X, Z ) ) ) ) ] )
% 70.05/70.47 , clause( 1544, [ =( multiplication( domain( Y ), coantidomain( addition( X
% 70.05/70.47 , antidomain( Y ) ) ) ), coantidomain( addition( X, antidomain( Y ) ) ) )
% 70.05/70.47 ] )
% 70.05/70.47 , 0, clause( 131884, [ =( zero, multiplication( multiplication( domain( X )
% 70.05/70.47 , coantidomain( Y ) ), antidomain( addition( X, Z ) ) ) ) ] )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, addition( Y, antidomain( X ) ) ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131886, [ =( multiplication( coantidomain( addition( X, antidomain(
% 70.05/70.47 Y ) ) ), antidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131885, [ =( zero, multiplication( coantidomain( addition( Y,
% 70.05/70.47 antidomain( X ) ) ), antidomain( addition( X, Z ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 46468, [ =( multiplication( coantidomain( addition( Y, antidomain(
% 70.05/70.47 X ) ) ), antidomain( addition( X, Z ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131886, [ =( multiplication( coantidomain( addition( X,
% 70.05/70.47 antidomain( Y ) ) ), antidomain( addition( Y, Z ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131888, [ =( zero, multiplication( coantidomain( addition( X,
% 70.05/70.47 antidomain( Y ) ) ), antidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.47 , clause( 46468, [ =( multiplication( coantidomain( addition( Y, antidomain(
% 70.05/70.47 X ) ) ), antidomain( addition( X, Z ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131891, [ =( zero, multiplication( coantidomain( addition(
% 70.05/70.47 antidomain( Z ), X ) ), antidomain( addition( Z, T ) ) ) ) ] )
% 70.05/70.47 , clause( 1265, [ =( addition( addition( Z, multiplication( coantidomain( X
% 70.05/70.47 ), Y ) ), Y ), addition( Y, Z ) ) ] )
% 70.05/70.47 , 0, clause( 131888, [ =( zero, multiplication( coantidomain( addition( X,
% 70.05/70.47 antidomain( Y ) ) ), antidomain( addition( Y, Z ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, antidomain( Z ) ), :=( Z, X )] )
% 70.05/70.47 , substitution( 1, [ :=( X, addition( X, multiplication( coantidomain( Y
% 70.05/70.47 ), antidomain( Z ) ) ) ), :=( Y, Z ), :=( Z, T )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131893, [ =( multiplication( coantidomain( addition( antidomain( X
% 70.05/70.47 ), Y ) ), antidomain( addition( X, Z ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131891, [ =( zero, multiplication( coantidomain( addition(
% 70.05/70.47 antidomain( Z ), X ) ), antidomain( addition( Z, T ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 48826, [ =( multiplication( coantidomain( addition( antidomain( Z )
% 70.05/70.47 , X ) ), antidomain( addition( Z, T ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131893, [ =( multiplication( coantidomain( addition( antidomain(
% 70.05/70.47 X ), Y ) ), antidomain( addition( X, Z ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131895, [ =( zero, multiplication( coantidomain( addition(
% 70.05/70.47 antidomain( X ), Y ) ), antidomain( addition( X, Z ) ) ) ) ] )
% 70.05/70.47 , clause( 48826, [ =( multiplication( coantidomain( addition( antidomain( Z
% 70.05/70.47 ), X ) ), antidomain( addition( Z, T ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131897, [ =( zero, multiplication( antidomain( addition( X, Z ) ),
% 70.05/70.47 coantidomain( addition( antidomain( X ), Y ) ) ) ) ] )
% 70.05/70.47 , clause( 31008, [ =( multiplication( coantidomain( X ), antidomain( Y ) )
% 70.05/70.47 , multiplication( antidomain( Y ), coantidomain( X ) ) ) ] )
% 70.05/70.47 , 0, clause( 131895, [ =( zero, multiplication( coantidomain( addition(
% 70.05/70.47 antidomain( X ), Y ) ), antidomain( addition( X, Z ) ) ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, addition( antidomain( X ), Y ) ), :=( Y,
% 70.05/70.47 addition( X, Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 70.05/70.47 Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131898, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( addition( antidomain( X ), Z ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131897, [ =( zero, multiplication( antidomain( addition( X, Z ) )
% 70.05/70.47 , coantidomain( addition( antidomain( X ), Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 48855, [ =( multiplication( antidomain( addition( X, Z ) ),
% 70.05/70.47 coantidomain( addition( antidomain( X ), Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131898, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( addition( antidomain( X ), Z ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131899, [ =( zero, multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( addition( antidomain( X ), Z ) ) ) ) ] )
% 70.05/70.47 , clause( 48855, [ =( multiplication( antidomain( addition( X, Z ) ),
% 70.05/70.47 coantidomain( addition( antidomain( X ), Y ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131901, [ =( zero, coantidomain( addition( antidomain( X ), domain(
% 70.05/70.47 addition( X, Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 1267, [ =( multiplication( antidomain( Y ), coantidomain(
% 70.05/70.47 addition( X, domain( Y ) ) ) ), coantidomain( addition( X, domain( Y ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , 0, clause( 131899, [ =( zero, multiplication( antidomain( addition( X, Y
% 70.05/70.47 ) ), coantidomain( addition( antidomain( X ), Z ) ) ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, antidomain( X ) ), :=( Y, addition( X, Y
% 70.05/70.47 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, domain(
% 70.05/70.47 addition( X, Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131902, [ =( coantidomain( addition( antidomain( X ), domain(
% 70.05/70.47 addition( X, Y ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131901, [ =( zero, coantidomain( addition( antidomain( X ),
% 70.05/70.47 domain( addition( X, Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 48878, [ =( coantidomain( addition( antidomain( X ), domain(
% 70.05/70.47 addition( X, Y ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131902, [ =( coantidomain( addition( antidomain( X ), domain(
% 70.05/70.47 addition( X, Y ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131904, [ =( one, codomain( addition( addition( X, coantidomain(
% 70.05/70.47 addition( Y, X ) ) ), Y ) ) ) ] )
% 70.05/70.47 , clause( 37595, [ =( codomain( addition( addition( Y, coantidomain(
% 70.05/70.47 addition( X, Y ) ) ), X ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131906, [ =( one, codomain( addition( addition( domain( addition( X
% 70.05/70.47 , Y ) ), zero ), antidomain( X ) ) ) ) ] )
% 70.05/70.47 , clause( 48878, [ =( coantidomain( addition( antidomain( X ), domain(
% 70.05/70.47 addition( X, Y ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, clause( 131904, [ =( one, codomain( addition( addition( X,
% 70.05/70.47 coantidomain( addition( Y, X ) ) ), Y ) ) ) ] )
% 70.05/70.47 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, domain( addition( X, Y ) ) ), :=( Y, antidomain( X ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131907, [ =( one, codomain( addition( domain( addition( X, Y ) ),
% 70.05/70.47 antidomain( X ) ) ) ) ] )
% 70.05/70.47 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.47 , 0, clause( 131906, [ =( one, codomain( addition( addition( domain(
% 70.05/70.47 addition( X, Y ) ), zero ), antidomain( X ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, domain( addition( X, Y ) ) )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131908, [ =( codomain( addition( domain( addition( X, Y ) ),
% 70.05/70.47 antidomain( X ) ) ), one ) ] )
% 70.05/70.47 , clause( 131907, [ =( one, codomain( addition( domain( addition( X, Y ) )
% 70.05/70.47 , antidomain( X ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 48914, [ =( codomain( addition( domain( addition( X, Y ) ),
% 70.05/70.47 antidomain( X ) ) ), one ) ] )
% 70.05/70.47 , clause( 131908, [ =( codomain( addition( domain( addition( X, Y ) ),
% 70.05/70.47 antidomain( X ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131910, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 addition( multiplication( Y, X ), codomain( X ) ) ) ) ) ] )
% 70.05/70.47 , clause( 32484, [ =( multiplication( coantidomain( Y ), codomain( addition(
% 70.05/70.47 multiplication( X, Y ), codomain( Y ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131917, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( codomain( X ), addition( X, one ) ) ) ) ) ] )
% 70.05/70.47 , clause( 63, [ =( addition( multiplication( X, Y ), X ), multiplication( X
% 70.05/70.47 , addition( Y, one ) ) ) ] )
% 70.05/70.47 , 0, clause( 131910, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 addition( multiplication( Y, X ), codomain( X ) ) ) ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, codomain( X ) ), :=( Y, X )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, codomain( X ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131918, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( codomain( X ), addition( X, one ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131917, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( codomain( X ), addition( X, one ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 52329, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( codomain( X ), addition( X, one ) ) ) ), zero ) ] )
% 70.05/70.47 , clause( 131918, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( codomain( X ), addition( X, one ) ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131920, [ =( true, leq( antidomain( multiplication( X, Y ) ),
% 70.05/70.47 antidomain( multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 2042, [ =( leq( antidomain( multiplication( X, Y ) ), antidomain(
% 70.05/70.47 multiplication( X, domain( Y ) ) ) ), true ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131923, [ =( true, leq( antidomain( multiplication( X, addition(
% 70.05/70.47 codomain( addition( X, Y ) ), Z ) ) ), antidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 28306, [ =( multiplication( X, domain( addition( codomain(
% 70.05/70.47 addition( X, Y ) ), Z ) ) ), X ) ] )
% 70.05/70.47 , 0, clause( 131920, [ =( true, leq( antidomain( multiplication( X, Y ) ),
% 70.05/70.47 antidomain( multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, addition( codomain( addition( X, Y
% 70.05/70.47 ) ), Z ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131924, [ =( true, leq( antidomain( addition( X, multiplication( X
% 70.05/70.47 , Z ) ) ), antidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 28350, [ =( multiplication( X, addition( codomain( addition( X, Y
% 70.05/70.47 ) ), Z ) ), addition( X, multiplication( X, Z ) ) ) ] )
% 70.05/70.47 , 0, clause( 131923, [ =( true, leq( antidomain( multiplication( X,
% 70.05/70.47 addition( codomain( addition( X, Y ) ), Z ) ) ), antidomain( X ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131925, [ =( leq( antidomain( addition( X, multiplication( X, Y ) )
% 70.05/70.47 ), antidomain( X ) ), true ) ] )
% 70.05/70.47 , clause( 131924, [ =( true, leq( antidomain( addition( X, multiplication(
% 70.05/70.47 X, Z ) ) ), antidomain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 54567, [ =( leq( antidomain( addition( X, multiplication( X, Z ) )
% 70.05/70.47 ), antidomain( X ) ), true ) ] )
% 70.05/70.47 , clause( 131925, [ =( leq( antidomain( addition( X, multiplication( X, Y )
% 70.05/70.47 ) ), antidomain( X ) ), true ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131927, [ =( true, leq( antidomain( addition( X, multiplication( X
% 70.05/70.47 , Y ) ) ), antidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 54567, [ =( leq( antidomain( addition( X, multiplication( X, Z )
% 70.05/70.47 ) ), antidomain( X ) ), true ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131929, [ =( true, leq( antidomain( addition( addition( X, Y ),
% 70.05/70.47 multiplication( Y, coantidomain( addition( Z, X ) ) ) ) ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 1314, [ =( multiplication( addition( X, Z ), coantidomain(
% 70.05/70.47 addition( Y, X ) ) ), multiplication( Z, coantidomain( addition( Y, X ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , 0, clause( 131927, [ =( true, leq( antidomain( addition( X,
% 70.05/70.47 multiplication( X, Y ) ) ), antidomain( X ) ) ) ] )
% 70.05/70.47 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.47 substitution( 1, [ :=( X, addition( X, Y ) ), :=( Y, coantidomain(
% 70.05/70.47 addition( Z, X ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131930, [ =( true, leq( antidomain( addition( Y, X ) ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 544, [ =( addition( addition( Z, X ), multiplication( X,
% 70.05/70.47 coantidomain( Y ) ) ), addition( X, Z ) ) ] )
% 70.05/70.47 , 0, clause( 131929, [ =( true, leq( antidomain( addition( addition( X, Y )
% 70.05/70.47 , multiplication( Y, coantidomain( addition( Z, X ) ) ) ) ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, addition( Z, X ) ), :=( Z, X
% 70.05/70.47 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131931, [ =( leq( antidomain( addition( X, Y ) ), antidomain(
% 70.05/70.47 addition( Y, X ) ) ), true ) ] )
% 70.05/70.47 , clause( 131930, [ =( true, leq( antidomain( addition( Y, X ) ),
% 70.05/70.47 antidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 54605, [ =( leq( antidomain( addition( Y, X ) ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ), true ) ] )
% 70.05/70.47 , clause( 131931, [ =( leq( antidomain( addition( X, Y ) ), antidomain(
% 70.05/70.47 addition( Y, X ) ) ), true ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131933, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 106, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131935, [ =( antidomain( addition( X, Y ) ), ifeq( true, true,
% 70.05/70.47 addition( antidomain( addition( X, Y ) ), antidomain( addition( Y, X ) )
% 70.05/70.47 ), antidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 54605, [ =( leq( antidomain( addition( Y, X ) ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ), true ) ] )
% 70.05/70.47 , 0, clause( 131933, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, antidomain( addition( Y, X ) ) ), :=( Y, antidomain( addition( X,
% 70.05/70.47 Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131936, [ =( antidomain( addition( X, Y ) ), addition( antidomain(
% 70.05/70.47 addition( X, Y ) ), antidomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.47 , 0, clause( 131935, [ =( antidomain( addition( X, Y ) ), ifeq( true, true
% 70.05/70.47 , addition( antidomain( addition( X, Y ) ), antidomain( addition( Y, X )
% 70.05/70.47 ) ), antidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, true ), :=( Y, addition( antidomain(
% 70.05/70.47 addition( X, Y ) ), antidomain( addition( Y, X ) ) ) ), :=( Z, antidomain(
% 70.05/70.47 addition( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131937, [ =( addition( antidomain( addition( X, Y ) ), antidomain(
% 70.05/70.47 addition( Y, X ) ) ), antidomain( addition( X, Y ) ) ) ] )
% 70.05/70.47 , clause( 131936, [ =( antidomain( addition( X, Y ) ), addition( antidomain(
% 70.05/70.47 addition( X, Y ) ), antidomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 54632, [ =( addition( antidomain( addition( Y, X ) ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ), antidomain( addition( Y, X ) ) ) ] )
% 70.05/70.47 , clause( 131937, [ =( addition( antidomain( addition( X, Y ) ), antidomain(
% 70.05/70.47 addition( Y, X ) ) ), antidomain( addition( X, Y ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131939, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131942, [ =( antidomain( addition( X, Y ) ), ifeq( true, true,
% 70.05/70.47 addition( antidomain( addition( Y, X ) ), antidomain( addition( X, Y ) )
% 70.05/70.47 ), antidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 54605, [ =( leq( antidomain( addition( Y, X ) ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ), true ) ] )
% 70.05/70.47 , 0, clause( 131939, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, antidomain( addition( Y, X ) ) ), :=( Y, antidomain( addition( X,
% 70.05/70.47 Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131943, [ =( antidomain( addition( X, Y ) ), addition( antidomain(
% 70.05/70.47 addition( Y, X ) ), antidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.47 , 0, clause( 131942, [ =( antidomain( addition( X, Y ) ), ifeq( true, true
% 70.05/70.47 , addition( antidomain( addition( Y, X ) ), antidomain( addition( X, Y )
% 70.05/70.47 ) ), antidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, true ), :=( Y, addition( antidomain(
% 70.05/70.47 addition( Y, X ) ), antidomain( addition( X, Y ) ) ) ), :=( Z, antidomain(
% 70.05/70.47 addition( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131944, [ =( antidomain( addition( X, Y ) ), antidomain( addition(
% 70.05/70.47 Y, X ) ) ) ] )
% 70.05/70.47 , clause( 54632, [ =( addition( antidomain( addition( Y, X ) ), antidomain(
% 70.05/70.47 addition( X, Y ) ) ), antidomain( addition( Y, X ) ) ) ] )
% 70.05/70.47 , 0, clause( 131943, [ =( antidomain( addition( X, Y ) ), addition(
% 70.05/70.47 antidomain( addition( Y, X ) ), antidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 54637, [ =( antidomain( addition( X, Y ) ), antidomain( addition( Y
% 70.05/70.47 , X ) ) ) ] )
% 70.05/70.47 , clause( 131944, [ =( antidomain( addition( X, Y ) ), antidomain( addition(
% 70.05/70.47 Y, X ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131945, [ =( domain( X ), coantidomain( antidomain( X ) ) ) ] )
% 70.05/70.47 , clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131947, [ =( domain( addition( X, Y ) ), coantidomain( antidomain(
% 70.05/70.47 addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , clause( 54637, [ =( antidomain( addition( X, Y ) ), antidomain( addition(
% 70.05/70.47 Y, X ) ) ) ] )
% 70.05/70.47 , 0, clause( 131945, [ =( domain( X ), coantidomain( antidomain( X ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, addition( X, Y ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131949, [ =( domain( addition( X, Y ) ), domain( addition( Y, X ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.47 , 0, clause( 131947, [ =( domain( addition( X, Y ) ), coantidomain(
% 70.05/70.47 antidomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, addition( Y, X ) )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 54698, [ =( domain( addition( Y, X ) ), domain( addition( X, Y ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , clause( 131949, [ =( domain( addition( X, Y ) ), domain( addition( Y, X )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131950, [ =( one, addition( antidomain( X ), domain( X ) ) ) ] )
% 70.05/70.47 , clause( 94, [ =( addition( antidomain( X ), domain( X ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131951, [ =( one, addition( antidomain( addition( Y, X ) ), domain(
% 70.05/70.47 addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 54637, [ =( antidomain( addition( X, Y ) ), antidomain( addition(
% 70.05/70.47 Y, X ) ) ) ] )
% 70.05/70.47 , 0, clause( 131950, [ =( one, addition( antidomain( X ), domain( X ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, addition( X, Y ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131954, [ =( addition( antidomain( addition( X, Y ) ), domain(
% 70.05/70.47 addition( Y, X ) ) ), one ) ] )
% 70.05/70.47 , clause( 131951, [ =( one, addition( antidomain( addition( Y, X ) ),
% 70.05/70.47 domain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 54734, [ =( addition( antidomain( addition( Y, X ) ), domain(
% 70.05/70.47 addition( X, Y ) ) ), one ) ] )
% 70.05/70.47 , clause( 131954, [ =( addition( antidomain( addition( X, Y ) ), domain(
% 70.05/70.47 addition( Y, X ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131956, [ =( true, leq( codomain( multiplication( codomain( X ), Y
% 70.05/70.47 ) ), codomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 20018, [ =( leq( codomain( multiplication( codomain( X ), Y ) ),
% 70.05/70.47 codomain( multiplication( X, Y ) ) ), true ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131958, [ =( true, leq( codomain( Y ), codomain( multiplication(
% 70.05/70.47 addition( X, domain( addition( Y, Z ) ) ), Y ) ) ) ) ] )
% 70.05/70.47 , clause( 27606, [ =( multiplication( codomain( addition( X, domain(
% 70.05/70.47 addition( Y, Z ) ) ) ), Y ), Y ) ] )
% 70.05/70.47 , 0, clause( 131956, [ =( true, leq( codomain( multiplication( codomain( X
% 70.05/70.47 ), Y ) ), codomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 70.05/70.47 substitution( 1, [ :=( X, addition( X, domain( addition( Y, Z ) ) ) ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131960, [ =( true, leq( codomain( X ), codomain( addition(
% 70.05/70.47 multiplication( Y, X ), X ) ) ) ) ] )
% 70.05/70.47 , clause( 11334, [ =( multiplication( addition( Z, domain( addition( X, Y )
% 70.05/70.47 ) ), X ), addition( multiplication( Z, X ), X ) ) ] )
% 70.05/70.47 , 0, clause( 131958, [ =( true, leq( codomain( Y ), codomain(
% 70.05/70.47 multiplication( addition( X, domain( addition( Y, Z ) ) ), Y ) ) ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.47 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131961, [ =( leq( codomain( X ), codomain( addition( multiplication(
% 70.05/70.47 Y, X ), X ) ) ), true ) ] )
% 70.05/70.47 , clause( 131960, [ =( true, leq( codomain( X ), codomain( addition(
% 70.05/70.47 multiplication( Y, X ), X ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 56307, [ =( leq( codomain( Y ), codomain( addition( multiplication(
% 70.05/70.47 X, Y ), Y ) ) ), true ) ] )
% 70.05/70.47 , clause( 131961, [ =( leq( codomain( X ), codomain( addition(
% 70.05/70.47 multiplication( Y, X ), X ) ) ), true ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131963, [ =( true, leq( codomain( X ), codomain( addition(
% 70.05/70.47 multiplication( Y, X ), X ) ) ) ) ] )
% 70.05/70.47 , clause( 56307, [ =( leq( codomain( Y ), codomain( addition(
% 70.05/70.47 multiplication( X, Y ), Y ) ) ), true ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131966, [ =( true, leq( codomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( multiplication( antidomain( addition( X, Z ) ), Y ), addition(
% 70.05/70.47 X, Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 407, [ =( multiplication( antidomain( addition( X, Y ) ),
% 70.05/70.47 addition( X, Z ) ), multiplication( antidomain( addition( X, Y ) ), Z ) )
% 70.05/70.47 ] )
% 70.05/70.47 , 0, clause( 131963, [ =( true, leq( codomain( X ), codomain( addition(
% 70.05/70.47 multiplication( Y, X ), X ) ) ) ) ] )
% 70.05/70.47 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 70.05/70.47 substitution( 1, [ :=( X, addition( X, Y ) ), :=( Y, antidomain( addition(
% 70.05/70.47 X, Z ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131967, [ =( true, leq( codomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( addition( multiplication( antidomain( addition( X, Z ) ), Y ),
% 70.05/70.47 X ), Y ) ) ) ) ] )
% 70.05/70.47 , clause( 3, [ =( addition( X, addition( Y, Z ) ), addition( addition( X, Y
% 70.05/70.47 ), Z ) ) ] )
% 70.05/70.47 , 0, clause( 131966, [ =( true, leq( codomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( multiplication( antidomain( addition( X, Z ) ), Y ), addition(
% 70.05/70.47 X, Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, 8, substitution( 0, [ :=( X, multiplication( antidomain( addition( X,
% 70.05/70.47 Z ) ), Y ) ), :=( Y, X ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131968, [ =( true, leq( codomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , clause( 1256, [ =( addition( addition( multiplication( antidomain( X ), Y
% 70.05/70.47 ), Z ), Y ), addition( Y, Z ) ) ] )
% 70.05/70.47 , 0, clause( 131967, [ =( true, leq( codomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( addition( multiplication( antidomain( addition( X, Z ) ), Y ),
% 70.05/70.47 X ), Y ) ) ) ) ] )
% 70.05/70.47 , 0, 8, substitution( 0, [ :=( X, addition( X, Z ) ), :=( Y, Y ), :=( Z, X
% 70.05/70.47 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131969, [ =( leq( codomain( addition( X, Y ) ), codomain( addition(
% 70.05/70.47 Y, X ) ) ), true ) ] )
% 70.05/70.47 , clause( 131968, [ =( true, leq( codomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 56338, [ =( leq( codomain( addition( X, Z ) ), codomain( addition(
% 70.05/70.47 Z, X ) ) ), true ) ] )
% 70.05/70.47 , clause( 131969, [ =( leq( codomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( Y, X ) ) ), true ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131971, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 106, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131973, [ =( codomain( addition( X, Y ) ), ifeq( true, true,
% 70.05/70.47 addition( codomain( addition( X, Y ) ), codomain( addition( Y, X ) ) ),
% 70.05/70.47 codomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 56338, [ =( leq( codomain( addition( X, Z ) ), codomain( addition(
% 70.05/70.47 Z, X ) ) ), true ) ] )
% 70.05/70.47 , 0, clause( 131971, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 70.05/70.47 substitution( 1, [ :=( X, codomain( addition( Y, X ) ) ), :=( Y, codomain(
% 70.05/70.47 addition( X, Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131974, [ =( codomain( addition( X, Y ) ), addition( codomain(
% 70.05/70.47 addition( X, Y ) ), codomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.47 , 0, clause( 131973, [ =( codomain( addition( X, Y ) ), ifeq( true, true,
% 70.05/70.47 addition( codomain( addition( X, Y ) ), codomain( addition( Y, X ) ) ),
% 70.05/70.47 codomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, true ), :=( Y, addition( codomain(
% 70.05/70.47 addition( X, Y ) ), codomain( addition( Y, X ) ) ) ), :=( Z, codomain(
% 70.05/70.47 addition( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131975, [ =( addition( codomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( Y, X ) ) ), codomain( addition( X, Y ) ) ) ] )
% 70.05/70.47 , clause( 131974, [ =( codomain( addition( X, Y ) ), addition( codomain(
% 70.05/70.47 addition( X, Y ) ), codomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 56359, [ =( addition( codomain( addition( Y, X ) ), codomain(
% 70.05/70.47 addition( X, Y ) ) ), codomain( addition( Y, X ) ) ) ] )
% 70.05/70.47 , clause( 131975, [ =( addition( codomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( Y, X ) ) ), codomain( addition( X, Y ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131977, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131980, [ =( codomain( addition( X, Y ) ), ifeq( true, true,
% 70.05/70.47 addition( codomain( addition( Y, X ) ), codomain( addition( X, Y ) ) ),
% 70.05/70.47 codomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 56338, [ =( leq( codomain( addition( X, Z ) ), codomain( addition(
% 70.05/70.47 Z, X ) ) ), true ) ] )
% 70.05/70.47 , 0, clause( 131977, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 70.05/70.47 substitution( 1, [ :=( X, codomain( addition( Y, X ) ) ), :=( Y, codomain(
% 70.05/70.47 addition( X, Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131981, [ =( codomain( addition( X, Y ) ), addition( codomain(
% 70.05/70.47 addition( Y, X ) ), codomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.47 , 0, clause( 131980, [ =( codomain( addition( X, Y ) ), ifeq( true, true,
% 70.05/70.47 addition( codomain( addition( Y, X ) ), codomain( addition( X, Y ) ) ),
% 70.05/70.47 codomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, true ), :=( Y, addition( codomain(
% 70.05/70.47 addition( Y, X ) ), codomain( addition( X, Y ) ) ) ), :=( Z, codomain(
% 70.05/70.47 addition( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131982, [ =( codomain( addition( X, Y ) ), codomain( addition( Y, X
% 70.05/70.47 ) ) ) ] )
% 70.05/70.47 , clause( 56359, [ =( addition( codomain( addition( Y, X ) ), codomain(
% 70.05/70.47 addition( X, Y ) ) ), codomain( addition( Y, X ) ) ) ] )
% 70.05/70.47 , 0, clause( 131981, [ =( codomain( addition( X, Y ) ), addition( codomain(
% 70.05/70.47 addition( Y, X ) ), codomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 56364, [ =( codomain( addition( X, Y ) ), codomain( addition( Y, X
% 70.05/70.47 ) ) ) ] )
% 70.05/70.47 , clause( 131982, [ =( codomain( addition( X, Y ) ), codomain( addition( Y
% 70.05/70.47 , X ) ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131983, [ =( one, addition( coantidomain( X ), codomain( X ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 40, [ =( addition( coantidomain( X ), codomain( X ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131984, [ =( one, addition( coantidomain( addition( X, Y ) ),
% 70.05/70.47 codomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , clause( 56364, [ =( codomain( addition( X, Y ) ), codomain( addition( Y,
% 70.05/70.47 X ) ) ) ] )
% 70.05/70.47 , 0, clause( 131983, [ =( one, addition( coantidomain( X ), codomain( X ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, addition( X, Y ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131987, [ =( addition( coantidomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( Y, X ) ) ), one ) ] )
% 70.05/70.47 , clause( 131984, [ =( one, addition( coantidomain( addition( X, Y ) ),
% 70.05/70.47 codomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 56457, [ =( addition( coantidomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( Y, X ) ) ), one ) ] )
% 70.05/70.47 , clause( 131987, [ =( addition( coantidomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( Y, X ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131988, [ =( one, addition( codomain( X ), coantidomain( X ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 37, [ =( addition( codomain( X ), coantidomain( X ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131989, [ =( one, addition( codomain( addition( Y, X ) ),
% 70.05/70.47 coantidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 56364, [ =( codomain( addition( X, Y ) ), codomain( addition( Y,
% 70.05/70.47 X ) ) ) ] )
% 70.05/70.47 , 0, clause( 131988, [ =( one, addition( codomain( X ), coantidomain( X ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, addition( X, Y ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131992, [ =( addition( codomain( addition( X, Y ) ), coantidomain(
% 70.05/70.47 addition( Y, X ) ) ), one ) ] )
% 70.05/70.47 , clause( 131989, [ =( one, addition( codomain( addition( Y, X ) ),
% 70.05/70.47 coantidomain( addition( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 56459, [ =( addition( codomain( addition( Y, X ) ), coantidomain(
% 70.05/70.47 addition( X, Y ) ) ), one ) ] )
% 70.05/70.47 , clause( 131992, [ =( addition( codomain( addition( X, Y ) ), coantidomain(
% 70.05/70.47 addition( Y, X ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131994, [ =( one, addition( coantidomain( multiplication( codomain(
% 70.05/70.47 X ), Y ) ), codomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 3381, [ =( addition( coantidomain( multiplication( codomain( X )
% 70.05/70.47 , Y ) ), codomain( multiplication( X, Y ) ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131996, [ =( one, addition( coantidomain( multiplication( one, Y )
% 70.05/70.47 ), codomain( multiplication( addition( coantidomain( X ), X ), Y ) ) ) )
% 70.05/70.47 ] )
% 70.05/70.47 , clause( 37597, [ =( codomain( addition( coantidomain( X ), X ) ), one ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, clause( 131994, [ =( one, addition( coantidomain( multiplication(
% 70.05/70.47 codomain( X ), Y ) ), codomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.47 addition( coantidomain( X ), X ) ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 131997, [ =( one, addition( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( addition( coantidomain( Y ), Y ), X ) ) ) ) ] )
% 70.05/70.47 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.47 , 0, clause( 131996, [ =( one, addition( coantidomain( multiplication( one
% 70.05/70.47 , Y ) ), codomain( multiplication( addition( coantidomain( X ), X ), Y )
% 70.05/70.47 ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 70.05/70.47 :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 131998, [ =( addition( coantidomain( X ), codomain( multiplication(
% 70.05/70.47 addition( coantidomain( Y ), Y ), X ) ) ), one ) ] )
% 70.05/70.47 , clause( 131997, [ =( one, addition( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( addition( coantidomain( Y ), Y ), X ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 59711, [ =( addition( coantidomain( Y ), codomain( multiplication(
% 70.05/70.47 addition( coantidomain( X ), X ), Y ) ) ), one ) ] )
% 70.05/70.47 , clause( 131998, [ =( addition( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( addition( coantidomain( Y ), Y ), X ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132000, [ =( one, addition( antidomain( multiplication( X, domain(
% 70.05/70.47 Y ) ) ), domain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.47 , clause( 3246, [ =( addition( antidomain( multiplication( X, domain( Y ) )
% 70.05/70.47 ), domain( multiplication( X, Y ) ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132002, [ =( one, addition( antidomain( multiplication( X, one ) )
% 70.05/70.47 , domain( multiplication( X, addition( antidomain( Y ), Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 34566, [ =( domain( addition( antidomain( X ), X ) ), one ) ] )
% 70.05/70.47 , 0, clause( 132000, [ =( one, addition( antidomain( multiplication( X,
% 70.05/70.47 domain( Y ) ) ), domain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.47 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, addition( antidomain( Y ), Y ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132003, [ =( one, addition( antidomain( X ), domain( multiplication(
% 70.05/70.47 X, addition( antidomain( Y ), Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.47 , 0, clause( 132002, [ =( one, addition( antidomain( multiplication( X, one
% 70.05/70.47 ) ), domain( multiplication( X, addition( antidomain( Y ), Y ) ) ) ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132004, [ =( addition( antidomain( X ), domain( multiplication( X,
% 70.05/70.47 addition( antidomain( Y ), Y ) ) ) ), one ) ] )
% 70.05/70.47 , clause( 132003, [ =( one, addition( antidomain( X ), domain(
% 70.05/70.47 multiplication( X, addition( antidomain( Y ), Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 59790, [ =( addition( antidomain( Y ), domain( multiplication( Y,
% 70.05/70.47 addition( antidomain( X ), X ) ) ) ), one ) ] )
% 70.05/70.47 , clause( 132004, [ =( addition( antidomain( X ), domain( multiplication( X
% 70.05/70.47 , addition( antidomain( Y ), Y ) ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132006, [ =( multiplication( Y, X ), multiplication( addition(
% 70.05/70.47 antidomain( X ), Y ), X ) ) ] )
% 70.05/70.47 , clause( 83, [ =( multiplication( addition( antidomain( X ), Y ), X ),
% 70.05/70.47 multiplication( Y, X ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132009, [ =( multiplication( domain( multiplication( X, addition(
% 70.05/70.47 antidomain( Y ), Y ) ) ), X ), multiplication( one, X ) ) ] )
% 70.05/70.47 , clause( 59790, [ =( addition( antidomain( Y ), domain( multiplication( Y
% 70.05/70.47 , addition( antidomain( X ), X ) ) ) ), one ) ] )
% 70.05/70.47 , 0, clause( 132006, [ =( multiplication( Y, X ), multiplication( addition(
% 70.05/70.47 antidomain( X ), Y ), X ) ) ] )
% 70.05/70.47 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, domain( multiplication( X, addition( antidomain( Y ),
% 70.05/70.47 Y ) ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132010, [ =( multiplication( domain( multiplication( X, addition(
% 70.05/70.47 antidomain( Y ), Y ) ) ), X ), X ) ] )
% 70.05/70.47 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.47 , 0, clause( 132009, [ =( multiplication( domain( multiplication( X,
% 70.05/70.47 addition( antidomain( Y ), Y ) ) ), X ), multiplication( one, X ) ) ] )
% 70.05/70.47 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 67206, [ =( multiplication( domain( multiplication( X, addition(
% 70.05/70.47 antidomain( Y ), Y ) ) ), X ), X ) ] )
% 70.05/70.47 , clause( 132010, [ =( multiplication( domain( multiplication( X, addition(
% 70.05/70.47 antidomain( Y ), Y ) ) ), X ), X ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132013, [ =( X, multiplication( domain( multiplication( X, addition(
% 70.05/70.47 antidomain( Y ), Y ) ) ), X ) ) ] )
% 70.05/70.47 , clause( 67206, [ =( multiplication( domain( multiplication( X, addition(
% 70.05/70.47 antidomain( Y ), Y ) ) ), X ), X ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132016, [ =( X, multiplication( domain( multiplication( X,
% 70.05/70.47 antidomain( multiplication( coantidomain( X ), Y ) ) ) ), X ) ) ] )
% 70.05/70.47 , clause( 253, [ =( multiplication( X, addition( Y, multiplication(
% 70.05/70.47 coantidomain( X ), Z ) ) ), multiplication( X, Y ) ) ] )
% 70.05/70.47 , 0, clause( 132013, [ =( X, multiplication( domain( multiplication( X,
% 70.05/70.47 addition( antidomain( Y ), Y ) ) ), X ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, antidomain( multiplication(
% 70.05/70.47 coantidomain( X ), Y ) ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X )
% 70.05/70.47 , :=( Y, multiplication( coantidomain( X ), Y ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132017, [ =( multiplication( domain( multiplication( X, antidomain(
% 70.05/70.47 multiplication( coantidomain( X ), Y ) ) ) ), X ), X ) ] )
% 70.05/70.47 , clause( 132016, [ =( X, multiplication( domain( multiplication( X,
% 70.05/70.47 antidomain( multiplication( coantidomain( X ), Y ) ) ) ), X ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 67401, [ =( multiplication( domain( multiplication( X, antidomain(
% 70.05/70.47 multiplication( coantidomain( X ), Y ) ) ) ), X ), X ) ] )
% 70.05/70.47 , clause( 132017, [ =( multiplication( domain( multiplication( X,
% 70.05/70.47 antidomain( multiplication( coantidomain( X ), Y ) ) ) ), X ), X ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132019, [ =( multiplication( X, Y ), multiplication( X, addition(
% 70.05/70.47 coantidomain( X ), Y ) ) ) ] )
% 70.05/70.47 , clause( 60, [ =( multiplication( X, addition( coantidomain( X ), Y ) ),
% 70.05/70.47 multiplication( X, Y ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132022, [ =( multiplication( X, codomain( multiplication( addition(
% 70.05/70.47 coantidomain( Y ), Y ), X ) ) ), multiplication( X, one ) ) ] )
% 70.05/70.47 , clause( 59711, [ =( addition( coantidomain( Y ), codomain( multiplication(
% 70.05/70.47 addition( coantidomain( X ), X ), Y ) ) ), one ) ] )
% 70.05/70.47 , 0, clause( 132019, [ =( multiplication( X, Y ), multiplication( X,
% 70.05/70.47 addition( coantidomain( X ), Y ) ) ) ] )
% 70.05/70.47 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, codomain( multiplication( addition( coantidomain( Y )
% 70.05/70.47 , Y ), X ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132023, [ =( multiplication( X, codomain( multiplication( addition(
% 70.05/70.47 coantidomain( Y ), Y ), X ) ) ), X ) ] )
% 70.05/70.47 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.47 , 0, clause( 132022, [ =( multiplication( X, codomain( multiplication(
% 70.05/70.47 addition( coantidomain( Y ), Y ), X ) ) ), multiplication( X, one ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 67613, [ =( multiplication( X, codomain( multiplication( addition(
% 70.05/70.47 coantidomain( Y ), Y ), X ) ) ), X ) ] )
% 70.05/70.47 , clause( 132023, [ =( multiplication( X, codomain( multiplication(
% 70.05/70.47 addition( coantidomain( Y ), Y ), X ) ) ), X ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132026, [ =( multiplication( codomain( Y ), X ), multiplication(
% 70.05/70.47 multiplication( domain( X ), codomain( Y ) ), X ) ) ] )
% 70.05/70.47 , clause( 11227, [ =( multiplication( multiplication( domain( X ), codomain(
% 70.05/70.47 Y ) ), X ), multiplication( codomain( Y ), X ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132029, [ =( multiplication( codomain( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), domain( Y ) ) ), Y ), multiplication( domain( Y )
% 70.05/70.47 , Y ) ) ] )
% 70.05/70.47 , clause( 67613, [ =( multiplication( X, codomain( multiplication( addition(
% 70.05/70.47 coantidomain( Y ), Y ), X ) ) ), X ) ] )
% 70.05/70.47 , 0, clause( 132026, [ =( multiplication( codomain( Y ), X ),
% 70.05/70.47 multiplication( multiplication( domain( X ), codomain( Y ) ), X ) ) ] )
% 70.05/70.47 , 0, 12, substitution( 0, [ :=( X, domain( Y ) ), :=( Y, X )] ),
% 70.05/70.47 substitution( 1, [ :=( X, Y ), :=( Y, multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), domain( Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132030, [ =( multiplication( codomain( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), domain( Y ) ) ), Y ), Y ) ] )
% 70.05/70.47 , clause( 311, [ =( multiplication( domain( X ), X ), X ) ] )
% 70.05/70.47 , 0, clause( 132029, [ =( multiplication( codomain( multiplication(
% 70.05/70.47 addition( coantidomain( X ), X ), domain( Y ) ) ), Y ), multiplication(
% 70.05/70.47 domain( Y ), Y ) ) ] )
% 70.05/70.47 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 67791, [ =( multiplication( codomain( multiplication( addition(
% 70.05/70.47 coantidomain( Y ), Y ), domain( X ) ) ), X ), X ) ] )
% 70.05/70.47 , clause( 132030, [ =( multiplication( codomain( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), domain( Y ) ) ), Y ), Y ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132033, [ =( zero, coantidomain( addition( multiplication( X, Y ),
% 70.05/70.47 coantidomain( multiplication( codomain( X ), Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 39457, [ =( coantidomain( addition( multiplication( X, Y ),
% 70.05/70.47 coantidomain( multiplication( codomain( X ), Y ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132037, [ =( zero, coantidomain( addition( multiplication(
% 70.05/70.47 multiplication( addition( coantidomain( X ), X ), domain( Y ) ), Y ),
% 70.05/70.47 coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , clause( 67791, [ =( multiplication( codomain( multiplication( addition(
% 70.05/70.47 coantidomain( Y ), Y ), domain( X ) ) ), X ), X ) ] )
% 70.05/70.47 , 0, clause( 132033, [ =( zero, coantidomain( addition( multiplication( X,
% 70.05/70.47 Y ), coantidomain( multiplication( codomain( X ), Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, multiplication( addition( coantidomain( X ), X ), domain( Y ) ) )
% 70.05/70.47 , :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132038, [ =( zero, coantidomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , clause( 321, [ =( multiplication( multiplication( Y, domain( X ) ), X ),
% 70.05/70.47 multiplication( Y, X ) ) ] )
% 70.05/70.47 , 0, clause( 132037, [ =( zero, coantidomain( addition( multiplication(
% 70.05/70.47 multiplication( addition( coantidomain( X ), X ), domain( Y ) ), Y ),
% 70.05/70.47 coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, addition( coantidomain( X ),
% 70.05/70.47 X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132039, [ =( coantidomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 132038, [ =( zero, coantidomain( addition( multiplication(
% 70.05/70.47 addition( coantidomain( X ), X ), Y ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 72120, [ =( coantidomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 132039, [ =( coantidomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132041, [ =( one, addition( domain( multiplication( coantidomain( X
% 70.05/70.47 ), addition( one, Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.47 , clause( 13406, [ =( addition( domain( multiplication( coantidomain( X ),
% 70.05/70.47 addition( one, Y ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132045, [ =( one, addition( domain( multiplication( zero, addition(
% 70.05/70.47 one, Z ) ) ), codomain( addition( multiplication( addition( coantidomain(
% 70.05/70.47 X ), X ), Y ), coantidomain( Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 72120, [ =( coantidomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.47 , 0, clause( 132041, [ =( one, addition( domain( multiplication(
% 70.05/70.47 coantidomain( X ), addition( one, Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.47 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, addition( multiplication( addition( coantidomain( X ), X ), Y ),
% 70.05/70.47 coantidomain( Y ) ) ), :=( Y, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132046, [ =( one, addition( domain( zero ), codomain( addition(
% 70.05/70.47 multiplication( addition( coantidomain( Y ), Y ), Z ), coantidomain( Z )
% 70.05/70.47 ) ) ) ) ] )
% 70.05/70.47 , clause( 12, [ =( multiplication( zero, X ), zero ) ] )
% 70.05/70.47 , 0, clause( 132045, [ =( one, addition( domain( multiplication( zero,
% 70.05/70.47 addition( one, Z ) ) ), codomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, addition( one, X ) )] ), substitution( 1
% 70.05/70.47 , [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132047, [ =( one, addition( zero, codomain( addition(
% 70.05/70.47 multiplication( addition( coantidomain( X ), X ), Y ), coantidomain( Y )
% 70.05/70.47 ) ) ) ) ] )
% 70.05/70.47 , clause( 97, [ =( domain( zero ), zero ) ] )
% 70.05/70.47 , 0, clause( 132046, [ =( one, addition( domain( zero ), codomain( addition(
% 70.05/70.47 multiplication( addition( coantidomain( Y ), Y ), Z ), coantidomain( Z )
% 70.05/70.47 ) ) ) ) ] )
% 70.05/70.47 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, Z ), :=( Y, X ),
% 70.05/70.47 :=( Z, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132048, [ =( one, codomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , clause( 32, [ =( addition( zero, X ), X ) ] )
% 70.05/70.47 , 0, clause( 132047, [ =( one, addition( zero, codomain( addition(
% 70.05/70.47 multiplication( addition( coantidomain( X ), X ), Y ), coantidomain( Y )
% 70.05/70.47 ) ) ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, codomain( addition( multiplication(
% 70.05/70.47 addition( coantidomain( X ), X ), Y ), coantidomain( Y ) ) ) )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132049, [ =( codomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ), one ) ] )
% 70.05/70.47 , clause( 132048, [ =( one, codomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 72180, [ =( codomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ), one ) ] )
% 70.05/70.47 , clause( 132049, [ =( codomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132050, [ =( one, codomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , clause( 72180, [ =( codomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132051, [ =( one, codomain( addition( multiplication( addition( X,
% 70.05/70.47 coantidomain( X ) ), Y ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , clause( 82, [ =( multiplication( addition( X, Z ), Y ), multiplication(
% 70.05/70.47 addition( Z, X ), Y ) ) ] )
% 70.05/70.47 , 0, clause( 132050, [ =( one, codomain( addition( multiplication( addition(
% 70.05/70.47 coantidomain( X ), X ), Y ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, coantidomain( X ) ), :=( Y, Y ), :=( Z, X
% 70.05/70.47 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132054, [ =( codomain( addition( multiplication( addition( X,
% 70.05/70.47 coantidomain( X ) ), Y ), coantidomain( Y ) ) ), one ) ] )
% 70.05/70.47 , clause( 132051, [ =( one, codomain( addition( multiplication( addition( X
% 70.05/70.47 , coantidomain( X ) ), Y ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 72290, [ =( codomain( addition( multiplication( addition( X,
% 70.05/70.47 coantidomain( X ) ), Y ), coantidomain( Y ) ) ), one ) ] )
% 70.05/70.47 , clause( 132054, [ =( codomain( addition( multiplication( addition( X,
% 70.05/70.47 coantidomain( X ) ), Y ), coantidomain( Y ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132055, [ =( one, codomain( addition( multiplication( addition( X,
% 70.05/70.47 coantidomain( X ) ), Y ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , clause( 72290, [ =( codomain( addition( multiplication( addition( X,
% 70.05/70.47 coantidomain( X ) ), Y ), coantidomain( Y ) ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132056, [ =( one, codomain( addition( coantidomain( Y ),
% 70.05/70.47 multiplication( addition( X, coantidomain( X ) ), Y ) ) ) ) ] )
% 70.05/70.47 , clause( 56364, [ =( codomain( addition( X, Y ) ), codomain( addition( Y,
% 70.05/70.47 X ) ) ) ] )
% 70.05/70.47 , 0, clause( 132055, [ =( one, codomain( addition( multiplication( addition(
% 70.05/70.47 X, coantidomain( X ) ), Y ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, multiplication( addition( X, coantidomain(
% 70.05/70.47 X ) ), Y ) ), :=( Y, coantidomain( Y ) )] ), substitution( 1, [ :=( X, X
% 70.05/70.47 ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132059, [ =( codomain( addition( coantidomain( X ), multiplication(
% 70.05/70.47 addition( Y, coantidomain( Y ) ), X ) ) ), one ) ] )
% 70.05/70.47 , clause( 132056, [ =( one, codomain( addition( coantidomain( Y ),
% 70.05/70.47 multiplication( addition( X, coantidomain( X ) ), Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 72294, [ =( codomain( addition( coantidomain( Y ), multiplication(
% 70.05/70.47 addition( X, coantidomain( X ) ), Y ) ) ), one ) ] )
% 70.05/70.47 , clause( 132059, [ =( codomain( addition( coantidomain( X ),
% 70.05/70.47 multiplication( addition( Y, coantidomain( Y ) ), X ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132061, [ =( one, codomain( addition( coantidomain( X ),
% 70.05/70.47 multiplication( addition( Y, coantidomain( Y ) ), X ) ) ) ) ] )
% 70.05/70.47 , clause( 72294, [ =( codomain( addition( coantidomain( Y ), multiplication(
% 70.05/70.47 addition( X, coantidomain( X ) ), Y ) ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132064, [ =( one, codomain( addition( coantidomain( coantidomain(
% 70.05/70.47 addition( X, Y ) ) ), multiplication( coantidomain( Y ), coantidomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ) ) ] )
% 70.05/70.47 , clause( 1314, [ =( multiplication( addition( X, Z ), coantidomain(
% 70.05/70.47 addition( Y, X ) ) ), multiplication( Z, coantidomain( addition( Y, X ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , 0, clause( 132061, [ =( one, codomain( addition( coantidomain( X ),
% 70.05/70.47 multiplication( addition( Y, coantidomain( Y ) ), X ) ) ) ) ] )
% 70.05/70.47 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, coantidomain( Y )
% 70.05/70.47 )] ), substitution( 1, [ :=( X, coantidomain( addition( X, Y ) ) ), :=(
% 70.05/70.47 Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132065, [ =( one, codomain( addition( codomain( addition( X, Y ) )
% 70.05/70.47 , multiplication( coantidomain( Y ), coantidomain( addition( X, Y ) ) ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , clause( 22, [ =( coantidomain( coantidomain( X ) ), codomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 132064, [ =( one, codomain( addition( coantidomain(
% 70.05/70.47 coantidomain( addition( X, Y ) ) ), multiplication( coantidomain( Y ),
% 70.05/70.47 coantidomain( addition( X, Y ) ) ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, addition( X, Y ) )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132066, [ =( one, codomain( addition( codomain( addition( X, Y ) )
% 70.05/70.47 , coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , clause( 40392, [ =( addition( codomain( X ), multiplication( coantidomain(
% 70.05/70.47 Y ), coantidomain( X ) ) ), addition( codomain( X ), coantidomain( Y ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, clause( 132065, [ =( one, codomain( addition( codomain( addition( X, Y
% 70.05/70.47 ) ), multiplication( coantidomain( Y ), coantidomain( addition( X, Y ) )
% 70.05/70.47 ) ) ) ) ] )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, addition( X, Y ) ), :=( Y, Y )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132067, [ =( codomain( addition( codomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( Y ) ) ), one ) ] )
% 70.05/70.47 , clause( 132066, [ =( one, codomain( addition( codomain( addition( X, Y )
% 70.05/70.47 ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 72314, [ =( codomain( addition( codomain( addition( Y, X ) ),
% 70.05/70.47 coantidomain( X ) ) ), one ) ] )
% 70.05/70.47 , clause( 132067, [ =( codomain( addition( codomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( Y ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132069, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( codomain( X ), addition( X, one ) ) ) ) ) ] )
% 70.05/70.47 , clause( 52329, [ =( multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( codomain( X ), addition( X, one ) ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132073, [ =( zero, multiplication( coantidomain( addition( codomain(
% 70.05/70.47 addition( X, Y ) ), coantidomain( Y ) ) ), codomain( multiplication( one
% 70.05/70.47 , addition( addition( codomain( addition( X, Y ) ), coantidomain( Y ) ),
% 70.05/70.47 one ) ) ) ) ) ] )
% 70.05/70.47 , clause( 72314, [ =( codomain( addition( codomain( addition( Y, X ) ),
% 70.05/70.47 coantidomain( X ) ) ), one ) ] )
% 70.05/70.47 , 0, clause( 132069, [ =( zero, multiplication( coantidomain( X ), codomain(
% 70.05/70.47 multiplication( codomain( X ), addition( X, one ) ) ) ) ) ] )
% 70.05/70.47 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, addition( codomain( addition( X, Y ) ), coantidomain( Y ) ) )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132074, [ =( zero, multiplication( coantidomain( addition( codomain(
% 70.05/70.47 addition( X, Y ) ), coantidomain( Y ) ) ), codomain( addition( addition(
% 70.05/70.47 codomain( addition( X, Y ) ), coantidomain( Y ) ), one ) ) ) ) ] )
% 70.05/70.47 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.47 , 0, clause( 132073, [ =( zero, multiplication( coantidomain( addition(
% 70.05/70.47 codomain( addition( X, Y ) ), coantidomain( Y ) ) ), codomain(
% 70.05/70.47 multiplication( one, addition( addition( codomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( Y ) ), one ) ) ) ) ) ] )
% 70.05/70.47 , 0, 12, substitution( 0, [ :=( X, addition( addition( codomain( addition(
% 70.05/70.47 X, Y ) ), coantidomain( Y ) ), one ) )] ), substitution( 1, [ :=( X, X )
% 70.05/70.47 , :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132075, [ =( zero, multiplication( coantidomain( addition( codomain(
% 70.05/70.47 addition( X, Y ) ), coantidomain( Y ) ) ), one ) ) ] )
% 70.05/70.47 , clause( 1068, [ =( codomain( addition( X, one ) ), one ) ] )
% 70.05/70.47 , 0, clause( 132074, [ =( zero, multiplication( coantidomain( addition(
% 70.05/70.47 codomain( addition( X, Y ) ), coantidomain( Y ) ) ), codomain( addition(
% 70.05/70.47 addition( codomain( addition( X, Y ) ), coantidomain( Y ) ), one ) ) ) )
% 70.05/70.47 ] )
% 70.05/70.47 , 0, 11, substitution( 0, [ :=( X, addition( codomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132076, [ =( zero, coantidomain( addition( codomain( addition( X, Y
% 70.05/70.47 ) ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.47 , 0, clause( 132075, [ =( zero, multiplication( coantidomain( addition(
% 70.05/70.47 codomain( addition( X, Y ) ), coantidomain( Y ) ) ), one ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, coantidomain( addition( codomain(
% 70.05/70.47 addition( X, Y ) ), coantidomain( Y ) ) ) )] ), substitution( 1, [ :=( X
% 70.05/70.47 , X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132077, [ =( coantidomain( addition( codomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 132076, [ =( zero, coantidomain( addition( codomain( addition( X
% 70.05/70.47 , Y ) ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 72402, [ =( coantidomain( addition( codomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 132077, [ =( coantidomain( addition( codomain( addition( X, Y ) )
% 70.05/70.47 , coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132078, [ =( zero, coantidomain( addition( codomain( addition( X, Y
% 70.05/70.47 ) ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , clause( 72402, [ =( coantidomain( addition( codomain( addition( X, Y ) )
% 70.05/70.47 , coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132079, [ =( zero, coantidomain( addition( codomain( addition( Y, X
% 70.05/70.47 ) ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , clause( 56364, [ =( codomain( addition( X, Y ) ), codomain( addition( Y,
% 70.05/70.47 X ) ) ) ] )
% 70.05/70.47 , 0, clause( 132078, [ =( zero, coantidomain( addition( codomain( addition(
% 70.05/70.47 X, Y ) ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132082, [ =( coantidomain( addition( codomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( X ) ) ), zero ) ] )
% 70.05/70.47 , clause( 132079, [ =( zero, coantidomain( addition( codomain( addition( Y
% 70.05/70.47 , X ) ), coantidomain( Y ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 72532, [ =( coantidomain( addition( codomain( addition( Y, X ) ),
% 70.05/70.47 coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.47 , clause( 132082, [ =( coantidomain( addition( codomain( addition( X, Y ) )
% 70.05/70.47 , coantidomain( X ) ) ), zero ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132084, [ =( one, addition( codomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , clause( 56459, [ =( addition( codomain( addition( Y, X ) ), coantidomain(
% 70.05/70.47 addition( X, Y ) ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132087, [ =( one, addition( codomain( addition( coantidomain( X ),
% 70.05/70.47 codomain( addition( X, Y ) ) ) ), zero ) ) ] )
% 70.05/70.47 , clause( 72532, [ =( coantidomain( addition( codomain( addition( Y, X ) )
% 70.05/70.47 , coantidomain( Y ) ) ), zero ) ] )
% 70.05/70.47 , 0, clause( 132084, [ =( one, addition( codomain( addition( X, Y ) ),
% 70.05/70.47 coantidomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.47 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, coantidomain( X ) ), :=( Y, codomain( addition( X, Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132088, [ =( one, codomain( addition( coantidomain( X ), codomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 4, [ =( addition( X, zero ), X ) ] )
% 70.05/70.47 , 0, clause( 132087, [ =( one, addition( codomain( addition( coantidomain(
% 70.05/70.47 X ), codomain( addition( X, Y ) ) ) ), zero ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, codomain( addition( coantidomain( X ),
% 70.05/70.47 codomain( addition( X, Y ) ) ) ) )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132089, [ =( codomain( addition( coantidomain( X ), codomain(
% 70.05/70.47 addition( X, Y ) ) ) ), one ) ] )
% 70.05/70.47 , clause( 132088, [ =( one, codomain( addition( coantidomain( X ), codomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 72671, [ =( codomain( addition( coantidomain( X ), codomain(
% 70.05/70.47 addition( X, Y ) ) ) ), one ) ] )
% 70.05/70.47 , clause( 132089, [ =( codomain( addition( coantidomain( X ), codomain(
% 70.05/70.47 addition( X, Y ) ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132091, [ =( one, codomain( addition( coantidomain( X ), codomain(
% 70.05/70.47 addition( X, Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 72671, [ =( codomain( addition( coantidomain( X ), codomain(
% 70.05/70.47 addition( X, Y ) ) ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132092, [ =( one, codomain( addition( coantidomain( multiplication(
% 70.05/70.47 X, antidomain( Y ) ) ), codomain( X ) ) ) ) ] )
% 70.05/70.47 , clause( 589, [ =( addition( multiplication( Y, antidomain( X ) ), Y ), Y
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, clause( 132091, [ =( one, codomain( addition( coantidomain( X ),
% 70.05/70.47 codomain( addition( X, Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, multiplication( X, antidomain( Y ) ) ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132093, [ =( codomain( addition( coantidomain( multiplication( X,
% 70.05/70.47 antidomain( Y ) ) ), codomain( X ) ) ), one ) ] )
% 70.05/70.47 , clause( 132092, [ =( one, codomain( addition( coantidomain(
% 70.05/70.47 multiplication( X, antidomain( Y ) ) ), codomain( X ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 72838, [ =( codomain( addition( coantidomain( multiplication( X,
% 70.05/70.47 antidomain( Y ) ) ), codomain( X ) ) ), one ) ] )
% 70.05/70.47 , clause( 132093, [ =( codomain( addition( coantidomain( multiplication( X
% 70.05/70.47 , antidomain( Y ) ) ), codomain( X ) ) ), one ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132095, [ =( multiplication( codomain( X ), Z ), multiplication(
% 70.05/70.47 codomain( X ), addition( coantidomain( addition( Y, X ) ), Z ) ) ) ] )
% 70.05/70.47 , clause( 3906, [ =( multiplication( codomain( X ), addition( coantidomain(
% 70.05/70.47 addition( Y, X ) ), Z ) ), multiplication( codomain( X ), Z ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132097, [ =( multiplication( codomain( X ), codomain( addition( X,
% 70.05/70.47 Y ) ) ), multiplication( codomain( X ), one ) ) ] )
% 70.05/70.47 , clause( 56457, [ =( addition( coantidomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( Y, X ) ) ), one ) ] )
% 70.05/70.47 , 0, clause( 132095, [ =( multiplication( codomain( X ), Z ),
% 70.05/70.47 multiplication( codomain( X ), addition( coantidomain( addition( Y, X ) )
% 70.05/70.47 , Z ) ) ) ] )
% 70.05/70.47 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, Y ), :=( Z, codomain( addition( X, Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132099, [ =( multiplication( codomain( X ), codomain( addition( X,
% 70.05/70.47 Y ) ) ), codomain( X ) ) ] )
% 70.05/70.47 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.47 , 0, clause( 132097, [ =( multiplication( codomain( X ), codomain( addition(
% 70.05/70.47 X, Y ) ) ), multiplication( codomain( X ), one ) ) ] )
% 70.05/70.47 , 0, 8, substitution( 0, [ :=( X, codomain( X ) )] ), substitution( 1, [
% 70.05/70.47 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 83307, [ =( multiplication( codomain( Y ), codomain( addition( Y, X
% 70.05/70.47 ) ) ), codomain( Y ) ) ] )
% 70.05/70.47 , clause( 132099, [ =( multiplication( codomain( X ), codomain( addition( X
% 70.05/70.47 , Y ) ) ), codomain( X ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132102, [ =( true, ifeq2( multiplication( addition( one, X ), Y ),
% 70.05/70.47 Y, leq( multiplication( X, Y ), Y ), true ) ) ] )
% 70.05/70.47 , clause( 1874, [ =( ifeq2( multiplication( addition( one, Y ), X ), X, leq(
% 70.05/70.47 multiplication( Y, X ), X ), true ), true ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132106, [ =( true, ifeq2( multiplication( addition( one, codomain(
% 70.05/70.47 X ) ), codomain( addition( X, Y ) ) ), codomain( addition( X, Y ) ), leq(
% 70.05/70.47 codomain( X ), codomain( addition( X, Y ) ) ), true ) ) ] )
% 70.05/70.47 , clause( 83307, [ =( multiplication( codomain( Y ), codomain( addition( Y
% 70.05/70.47 , X ) ) ), codomain( Y ) ) ] )
% 70.05/70.47 , 0, clause( 132102, [ =( true, ifeq2( multiplication( addition( one, X ),
% 70.05/70.47 Y ), Y, leq( multiplication( X, Y ), Y ), true ) ) ] )
% 70.05/70.47 , 0, 17, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, codomain( X ) ), :=( Y, codomain( addition( X, Y ) ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132107, [ =( true, ifeq2( multiplication( one, codomain( addition(
% 70.05/70.47 X, Y ) ) ), codomain( addition( X, Y ) ), leq( codomain( X ), codomain(
% 70.05/70.47 addition( X, Y ) ) ), true ) ) ] )
% 70.05/70.47 , clause( 136, [ =( addition( one, codomain( X ) ), one ) ] )
% 70.05/70.47 , 0, clause( 132106, [ =( true, ifeq2( multiplication( addition( one,
% 70.05/70.47 codomain( X ) ), codomain( addition( X, Y ) ) ), codomain( addition( X, Y
% 70.05/70.47 ) ), leq( codomain( X ), codomain( addition( X, Y ) ) ), true ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.47 :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132108, [ =( true, ifeq2( codomain( addition( X, Y ) ), codomain(
% 70.05/70.47 addition( X, Y ) ), leq( codomain( X ), codomain( addition( X, Y ) ) ),
% 70.05/70.47 true ) ) ] )
% 70.05/70.47 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.47 , 0, clause( 132107, [ =( true, ifeq2( multiplication( one, codomain(
% 70.05/70.47 addition( X, Y ) ) ), codomain( addition( X, Y ) ), leq( codomain( X ),
% 70.05/70.47 codomain( addition( X, Y ) ) ), true ) ) ] )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, codomain( addition( X, Y ) ) )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132109, [ =( true, leq( codomain( X ), codomain( addition( X, Y ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , clause( 0, [ =( ifeq2( X, X, Y, Z ), Y ) ] )
% 70.05/70.47 , 0, clause( 132108, [ =( true, ifeq2( codomain( addition( X, Y ) ),
% 70.05/70.47 codomain( addition( X, Y ) ), leq( codomain( X ), codomain( addition( X,
% 70.05/70.47 Y ) ) ), true ) ) ] )
% 70.05/70.47 , 0, 2, substitution( 0, [ :=( X, codomain( addition( X, Y ) ) ), :=( Y,
% 70.05/70.47 leq( codomain( X ), codomain( addition( X, Y ) ) ) ), :=( Z, true )] ),
% 70.05/70.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132110, [ =( leq( codomain( X ), codomain( addition( X, Y ) ) ),
% 70.05/70.47 true ) ] )
% 70.05/70.47 , clause( 132109, [ =( true, leq( codomain( X ), codomain( addition( X, Y )
% 70.05/70.47 ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 83378, [ =( leq( codomain( X ), codomain( addition( X, Y ) ) ),
% 70.05/70.47 true ) ] )
% 70.05/70.47 , clause( 132110, [ =( leq( codomain( X ), codomain( addition( X, Y ) ) ),
% 70.05/70.47 true ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132112, [ =( true, leq( codomain( X ), codomain( addition( X, Y ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , clause( 83378, [ =( leq( codomain( X ), codomain( addition( X, Y ) ) ),
% 70.05/70.47 true ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132113, [ =( true, leq( codomain( multiplication( X, domain( Y ) )
% 70.05/70.47 ), codomain( X ) ) ) ] )
% 70.05/70.47 , clause( 590, [ =( addition( multiplication( Y, domain( X ) ), Y ), Y ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, clause( 132112, [ =( true, leq( codomain( X ), codomain( addition( X,
% 70.05/70.47 Y ) ) ) ) ] )
% 70.05/70.47 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.47 :=( X, multiplication( X, domain( Y ) ) ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132114, [ =( leq( codomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.47 codomain( X ) ), true ) ] )
% 70.05/70.47 , clause( 132113, [ =( true, leq( codomain( multiplication( X, domain( Y )
% 70.05/70.47 ) ), codomain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 83527, [ =( leq( codomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.47 codomain( X ) ), true ) ] )
% 70.05/70.47 , clause( 132114, [ =( leq( codomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.47 codomain( X ) ), true ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132116, [ =( true, leq( codomain( X ), codomain( addition( X, Y ) )
% 70.05/70.47 ) ) ] )
% 70.05/70.47 , clause( 83378, [ =( leq( codomain( X ), codomain( addition( X, Y ) ) ),
% 70.05/70.47 true ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132117, [ =( true, leq( codomain( multiplication( X, coantidomain(
% 70.05/70.47 Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.47 , clause( 538, [ =( addition( multiplication( X, coantidomain( Y ) ), X ),
% 70.05/70.47 X ) ] )
% 70.05/70.47 , 0, clause( 132116, [ =( true, leq( codomain( X ), codomain( addition( X,
% 70.05/70.47 Y ) ) ) ) ] )
% 70.05/70.47 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, multiplication( X, coantidomain( Y ) ) ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132118, [ =( leq( codomain( multiplication( X, coantidomain( Y ) )
% 70.05/70.47 ), codomain( X ) ), true ) ] )
% 70.05/70.47 , clause( 132117, [ =( true, leq( codomain( multiplication( X, coantidomain(
% 70.05/70.47 Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 83530, [ =( leq( codomain( multiplication( X, coantidomain( Y ) ) )
% 70.05/70.47 , codomain( X ) ), true ) ] )
% 70.05/70.47 , clause( 132118, [ =( leq( codomain( multiplication( X, coantidomain( Y )
% 70.05/70.47 ) ), codomain( X ) ), true ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132120, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y ) ) ]
% 70.05/70.47 )
% 70.05/70.47 , clause( 106, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ]
% 70.05/70.47 )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132122, [ =( codomain( X ), ifeq( true, true, addition( codomain( X
% 70.05/70.47 ), codomain( multiplication( X, coantidomain( Y ) ) ) ), codomain( X ) )
% 70.05/70.47 ) ] )
% 70.05/70.47 , clause( 83530, [ =( leq( codomain( multiplication( X, coantidomain( Y ) )
% 70.05/70.47 ), codomain( X ) ), true ) ] )
% 70.05/70.47 , 0, clause( 132120, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y )
% 70.05/70.47 ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, codomain( multiplication( X, coantidomain( Y ) ) ) ), :=( Y,
% 70.05/70.47 codomain( X ) )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132123, [ =( codomain( X ), addition( codomain( X ), codomain(
% 70.05/70.47 multiplication( X, coantidomain( Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.47 , 0, clause( 132122, [ =( codomain( X ), ifeq( true, true, addition(
% 70.05/70.47 codomain( X ), codomain( multiplication( X, coantidomain( Y ) ) ) ),
% 70.05/70.47 codomain( X ) ) ) ] )
% 70.05/70.47 , 0, 3, substitution( 0, [ :=( X, true ), :=( Y, addition( codomain( X ),
% 70.05/70.47 codomain( multiplication( X, coantidomain( Y ) ) ) ) ), :=( Z, codomain(
% 70.05/70.47 X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132124, [ =( addition( codomain( X ), codomain( multiplication( X,
% 70.05/70.47 coantidomain( Y ) ) ) ), codomain( X ) ) ] )
% 70.05/70.47 , clause( 132123, [ =( codomain( X ), addition( codomain( X ), codomain(
% 70.05/70.47 multiplication( X, coantidomain( Y ) ) ) ) ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 subsumption(
% 70.05/70.47 clause( 83900, [ =( addition( codomain( X ), codomain( multiplication( X,
% 70.05/70.47 coantidomain( Y ) ) ) ), codomain( X ) ) ] )
% 70.05/70.47 , clause( 132124, [ =( addition( codomain( X ), codomain( multiplication( X
% 70.05/70.47 , coantidomain( Y ) ) ) ), codomain( X ) ) ] )
% 70.05/70.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.47 )] ) ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 eqswap(
% 70.05/70.47 clause( 132126, [ =( one, addition( codomain( addition( X, codomain( Y ) )
% 70.05/70.47 ), coantidomain( Y ) ) ) ] )
% 70.05/70.47 , clause( 27374, [ =( addition( codomain( addition( Y, codomain( X ) ) ),
% 70.05/70.47 coantidomain( X ) ), one ) ] )
% 70.05/70.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132128, [ =( one, addition( codomain( codomain( X ) ), coantidomain(
% 70.05/70.47 multiplication( X, coantidomain( Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 83900, [ =( addition( codomain( X ), codomain( multiplication( X
% 70.05/70.47 , coantidomain( Y ) ) ) ), codomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 132126, [ =( one, addition( codomain( addition( X, codomain( Y
% 70.05/70.47 ) ) ), coantidomain( Y ) ) ) ] )
% 70.05/70.47 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.47 :=( X, codomain( X ) ), :=( Y, multiplication( X, coantidomain( Y ) ) )] )
% 70.05/70.47 ).
% 70.05/70.47
% 70.05/70.47
% 70.05/70.47 paramod(
% 70.05/70.47 clause( 132129, [ =( one, addition( codomain( X ), coantidomain(
% 70.05/70.47 multiplication( X, coantidomain( Y ) ) ) ) ) ] )
% 70.05/70.47 , clause( 849, [ =( codomain( codomain( X ) ), codomain( X ) ) ] )
% 70.05/70.47 , 0, clause( 132128, [ =( one, addition( codomain( codomain( X ) ),
% 70.05/70.48 coantidomain( multiplication( X, coantidomain( Y ) ) ) ) ) ] )
% 70.05/70.48 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.48 :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132130, [ =( addition( codomain( X ), coantidomain( multiplication(
% 70.05/70.48 X, coantidomain( Y ) ) ) ), one ) ] )
% 70.05/70.48 , clause( 132129, [ =( one, addition( codomain( X ), coantidomain(
% 70.05/70.48 multiplication( X, coantidomain( Y ) ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 84355, [ =( addition( codomain( X ), coantidomain( multiplication(
% 70.05/70.48 X, coantidomain( Y ) ) ) ), one ) ] )
% 70.05/70.48 , clause( 132130, [ =( addition( codomain( X ), coantidomain(
% 70.05/70.48 multiplication( X, coantidomain( Y ) ) ) ), one ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132132, [ =( one, addition( codomain( X ), coantidomain(
% 70.05/70.48 multiplication( X, coantidomain( Y ) ) ) ) ) ] )
% 70.05/70.48 , clause( 84355, [ =( addition( codomain( X ), coantidomain( multiplication(
% 70.05/70.48 X, coantidomain( Y ) ) ) ), one ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132133, [ =( one, addition( codomain( X ), coantidomain(
% 70.05/70.48 multiplication( X, antidomain( Y ) ) ) ) ) ] )
% 70.05/70.48 , clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132132, [ =( one, addition( codomain( X ), coantidomain(
% 70.05/70.48 multiplication( X, coantidomain( Y ) ) ) ) ) ] )
% 70.05/70.48 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.48 :=( Y, domain( Y ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132134, [ =( addition( codomain( X ), coantidomain( multiplication(
% 70.05/70.48 X, antidomain( Y ) ) ) ), one ) ] )
% 70.05/70.48 , clause( 132133, [ =( one, addition( codomain( X ), coantidomain(
% 70.05/70.48 multiplication( X, antidomain( Y ) ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 84463, [ =( addition( codomain( Y ), coantidomain( multiplication(
% 70.05/70.48 Y, antidomain( X ) ) ) ), one ) ] )
% 70.05/70.48 , clause( 132134, [ =( addition( codomain( X ), coantidomain(
% 70.05/70.48 multiplication( X, antidomain( Y ) ) ) ), one ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132136, [ =( addition( Y, X ), multiplication( addition( X, Y ),
% 70.05/70.48 codomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.48 , clause( 923, [ =( multiplication( addition( Y, X ), codomain( addition( X
% 70.05/70.48 , Y ) ) ), addition( X, Y ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132141, [ =( addition( coantidomain( multiplication( X, antidomain(
% 70.05/70.48 Y ) ) ), codomain( X ) ), multiplication( one, codomain( addition(
% 70.05/70.48 coantidomain( multiplication( X, antidomain( Y ) ) ), codomain( X ) ) ) )
% 70.05/70.48 ) ] )
% 70.05/70.48 , clause( 84463, [ =( addition( codomain( Y ), coantidomain( multiplication(
% 70.05/70.48 Y, antidomain( X ) ) ) ), one ) ] )
% 70.05/70.48 , 0, clause( 132136, [ =( addition( Y, X ), multiplication( addition( X, Y
% 70.05/70.48 ), codomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.48 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.48 :=( X, codomain( X ) ), :=( Y, coantidomain( multiplication( X,
% 70.05/70.48 antidomain( Y ) ) ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132143, [ =( addition( coantidomain( multiplication( X, antidomain(
% 70.05/70.48 Y ) ) ), codomain( X ) ), codomain( addition( coantidomain(
% 70.05/70.48 multiplication( X, antidomain( Y ) ) ), codomain( X ) ) ) ) ] )
% 70.05/70.48 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.48 , 0, clause( 132141, [ =( addition( coantidomain( multiplication( X,
% 70.05/70.48 antidomain( Y ) ) ), codomain( X ) ), multiplication( one, codomain(
% 70.05/70.48 addition( coantidomain( multiplication( X, antidomain( Y ) ) ), codomain(
% 70.05/70.48 X ) ) ) ) ) ] )
% 70.05/70.48 , 0, 9, substitution( 0, [ :=( X, codomain( addition( coantidomain(
% 70.05/70.48 multiplication( X, antidomain( Y ) ) ), codomain( X ) ) ) )] ),
% 70.05/70.48 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132144, [ =( addition( coantidomain( multiplication( X, antidomain(
% 70.05/70.48 Y ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.48 , clause( 72838, [ =( codomain( addition( coantidomain( multiplication( X,
% 70.05/70.48 antidomain( Y ) ) ), codomain( X ) ) ), one ) ] )
% 70.05/70.48 , 0, clause( 132143, [ =( addition( coantidomain( multiplication( X,
% 70.05/70.48 antidomain( Y ) ) ), codomain( X ) ), codomain( addition( coantidomain(
% 70.05/70.48 multiplication( X, antidomain( Y ) ) ), codomain( X ) ) ) ) ] )
% 70.05/70.48 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 84531, [ =( addition( coantidomain( multiplication( X, antidomain(
% 70.05/70.48 Y ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.48 , clause( 132144, [ =( addition( coantidomain( multiplication( X,
% 70.05/70.48 antidomain( Y ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132147, [ =( one, addition( coantidomain( multiplication( X,
% 70.05/70.48 antidomain( Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.48 , clause( 84531, [ =( addition( coantidomain( multiplication( X, antidomain(
% 70.05/70.48 Y ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132148, [ =( one, addition( coantidomain( multiplication( X, domain(
% 70.05/70.48 Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.48 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132147, [ =( one, addition( coantidomain( multiplication( X,
% 70.05/70.48 antidomain( Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.48 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.48 :=( Y, antidomain( Y ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132149, [ =( addition( coantidomain( multiplication( X, domain( Y )
% 70.05/70.48 ) ), codomain( X ) ), one ) ] )
% 70.05/70.48 , clause( 132148, [ =( one, addition( coantidomain( multiplication( X,
% 70.05/70.48 domain( Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 84584, [ =( addition( coantidomain( multiplication( Y, domain( X )
% 70.05/70.48 ) ), codomain( Y ) ), one ) ] )
% 70.05/70.48 , clause( 132149, [ =( addition( coantidomain( multiplication( X, domain( Y
% 70.05/70.48 ) ) ), codomain( X ) ), one ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132151, [ =( one, addition( coantidomain( multiplication( X, domain(
% 70.05/70.48 Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.48 , clause( 84584, [ =( addition( coantidomain( multiplication( Y, domain( X
% 70.05/70.48 ) ) ), codomain( Y ) ), one ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132152, [ =( one, addition( coantidomain( multiplication( domain( X
% 70.05/70.48 ), domain( Y ) ) ), domain( X ) ) ) ] )
% 70.05/70.48 , clause( 15794, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132151, [ =( one, addition( coantidomain( multiplication( X,
% 70.05/70.48 domain( Y ) ) ), codomain( X ) ) ) ] )
% 70.05/70.48 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, domain(
% 70.05/70.48 X ) ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132153, [ =( addition( coantidomain( multiplication( domain( X ),
% 70.05/70.48 domain( Y ) ) ), domain( X ) ), one ) ] )
% 70.05/70.48 , clause( 132152, [ =( one, addition( coantidomain( multiplication( domain(
% 70.05/70.48 X ), domain( Y ) ) ), domain( X ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 85450, [ =( addition( coantidomain( multiplication( domain( X ),
% 70.05/70.48 domain( Y ) ) ), domain( X ) ), one ) ] )
% 70.05/70.48 , clause( 132153, [ =( addition( coantidomain( multiplication( domain( X )
% 70.05/70.48 , domain( Y ) ) ), domain( X ) ), one ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132155, [ =( multiplication( Z, domain( X ) ), multiplication(
% 70.05/70.48 addition( antidomain( addition( X, Y ) ), Z ), domain( X ) ) ) ] )
% 70.05/70.48 , clause( 4166, [ =( multiplication( addition( antidomain( addition( X, Y )
% 70.05/70.48 ), Z ), domain( X ) ), multiplication( Z, domain( X ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132157, [ =( multiplication( domain( addition( X, Y ) ), domain( Y
% 70.05/70.48 ) ), multiplication( one, domain( Y ) ) ) ] )
% 70.05/70.48 , clause( 54734, [ =( addition( antidomain( addition( Y, X ) ), domain(
% 70.05/70.48 addition( X, Y ) ) ), one ) ] )
% 70.05/70.48 , 0, clause( 132155, [ =( multiplication( Z, domain( X ) ), multiplication(
% 70.05/70.48 addition( antidomain( addition( X, Y ) ), Z ), domain( X ) ) ) ] )
% 70.05/70.48 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, Y ), :=( Y, X ), :=( Z, domain( addition( X, Y ) ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132159, [ =( multiplication( domain( addition( X, Y ) ), domain( Y
% 70.05/70.48 ) ), domain( Y ) ) ] )
% 70.05/70.48 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.48 , 0, clause( 132157, [ =( multiplication( domain( addition( X, Y ) ),
% 70.05/70.48 domain( Y ) ), multiplication( one, domain( Y ) ) ) ] )
% 70.05/70.48 , 0, 8, substitution( 0, [ :=( X, domain( Y ) )] ), substitution( 1, [ :=(
% 70.05/70.48 X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 92947, [ =( multiplication( domain( addition( Y, X ) ), domain( X )
% 70.05/70.48 ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132159, [ =( multiplication( domain( addition( X, Y ) ), domain(
% 70.05/70.48 Y ) ), domain( Y ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132162, [ =( one, addition( coantidomain( multiplication( domain( X
% 70.05/70.48 ), domain( Y ) ) ), domain( X ) ) ) ] )
% 70.05/70.48 , clause( 85450, [ =( addition( coantidomain( multiplication( domain( X ),
% 70.05/70.48 domain( Y ) ) ), domain( X ) ), one ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132165, [ =( one, addition( coantidomain( domain( Y ) ), domain(
% 70.05/70.48 addition( X, Y ) ) ) ) ] )
% 70.05/70.48 , clause( 92947, [ =( multiplication( domain( addition( Y, X ) ), domain( X
% 70.05/70.48 ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132162, [ =( one, addition( coantidomain( multiplication(
% 70.05/70.48 domain( X ), domain( Y ) ) ), domain( X ) ) ) ] )
% 70.05/70.48 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.48 :=( X, addition( X, Y ) ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132166, [ =( one, addition( antidomain( X ), domain( addition( Y, X
% 70.05/70.48 ) ) ) ) ] )
% 70.05/70.48 , clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132165, [ =( one, addition( coantidomain( domain( Y ) ),
% 70.05/70.48 domain( addition( X, Y ) ) ) ) ] )
% 70.05/70.48 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 70.05/70.48 :=( Y, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132167, [ =( addition( antidomain( X ), domain( addition( Y, X ) )
% 70.05/70.48 ), one ) ] )
% 70.05/70.48 , clause( 132166, [ =( one, addition( antidomain( X ), domain( addition( Y
% 70.05/70.48 , X ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 92970, [ =( addition( antidomain( Y ), domain( addition( X, Y ) ) )
% 70.05/70.48 , one ) ] )
% 70.05/70.48 , clause( 132167, [ =( addition( antidomain( X ), domain( addition( Y, X )
% 70.05/70.48 ) ), one ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132169, [ =( true, leq( codomain( multiplication( X, domain( Y ) )
% 70.05/70.48 ), codomain( X ) ) ) ] )
% 70.05/70.48 , clause( 83527, [ =( leq( codomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 codomain( X ) ), true ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132172, [ =( true, leq( codomain( domain( Y ) ), codomain( domain(
% 70.05/70.48 addition( X, Y ) ) ) ) ) ] )
% 70.05/70.48 , clause( 92947, [ =( multiplication( domain( addition( Y, X ) ), domain( X
% 70.05/70.48 ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132169, [ =( true, leq( codomain( multiplication( X, domain( Y
% 70.05/70.48 ) ) ), codomain( X ) ) ) ] )
% 70.05/70.48 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.48 :=( X, domain( addition( X, Y ) ) ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132174, [ =( true, leq( codomain( domain( X ) ), domain( addition(
% 70.05/70.48 Y, X ) ) ) ) ] )
% 70.05/70.48 , clause( 15794, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132172, [ =( true, leq( codomain( domain( Y ) ), codomain(
% 70.05/70.48 domain( addition( X, Y ) ) ) ) ) ] )
% 70.05/70.48 , 0, 6, substitution( 0, [ :=( X, addition( Y, X ) )] ), substitution( 1, [
% 70.05/70.48 :=( X, Y ), :=( Y, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132176, [ =( true, leq( domain( X ), domain( addition( Y, X ) ) ) )
% 70.05/70.48 ] )
% 70.05/70.48 , clause( 15794, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132174, [ =( true, leq( codomain( domain( X ) ), domain(
% 70.05/70.48 addition( Y, X ) ) ) ) ] )
% 70.05/70.48 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.48 :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132177, [ =( leq( domain( X ), domain( addition( Y, X ) ) ), true )
% 70.05/70.48 ] )
% 70.05/70.48 , clause( 132176, [ =( true, leq( domain( X ), domain( addition( Y, X ) ) )
% 70.05/70.48 ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 92978, [ =( leq( domain( Y ), domain( addition( X, Y ) ) ), true )
% 70.05/70.48 ] )
% 70.05/70.48 , clause( 132177, [ =( leq( domain( X ), domain( addition( Y, X ) ) ), true
% 70.05/70.48 ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132178, [ =( one, addition( antidomain( X ), domain( addition( Y, X
% 70.05/70.48 ) ) ) ) ] )
% 70.05/70.48 , clause( 92970, [ =( addition( antidomain( Y ), domain( addition( X, Y ) )
% 70.05/70.48 ), one ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132179, [ =( one, addition( antidomain( X ), domain( addition( X, Y
% 70.05/70.48 ) ) ) ) ] )
% 70.05/70.48 , clause( 54698, [ =( domain( addition( Y, X ) ), domain( addition( X, Y )
% 70.05/70.48 ) ) ] )
% 70.05/70.48 , 0, clause( 132178, [ =( one, addition( antidomain( X ), domain( addition(
% 70.05/70.48 Y, X ) ) ) ) ] )
% 70.05/70.48 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132182, [ =( addition( antidomain( X ), domain( addition( X, Y ) )
% 70.05/70.48 ), one ) ] )
% 70.05/70.48 , clause( 132179, [ =( one, addition( antidomain( X ), domain( addition( X
% 70.05/70.48 , Y ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 93090, [ =( addition( antidomain( Y ), domain( addition( Y, X ) ) )
% 70.05/70.48 , one ) ] )
% 70.05/70.48 , clause( 132182, [ =( addition( antidomain( X ), domain( addition( X, Y )
% 70.05/70.48 ) ), one ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132184, [ =( addition( Y, X ), multiplication( addition( X, Y ),
% 70.05/70.48 codomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.48 , clause( 923, [ =( multiplication( addition( Y, X ), codomain( addition( X
% 70.05/70.48 , Y ) ) ), addition( X, Y ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132189, [ =( addition( domain( addition( X, Y ) ), antidomain( X )
% 70.05/70.48 ), multiplication( one, codomain( addition( domain( addition( X, Y ) ),
% 70.05/70.48 antidomain( X ) ) ) ) ) ] )
% 70.05/70.48 , clause( 93090, [ =( addition( antidomain( Y ), domain( addition( Y, X ) )
% 70.05/70.48 ), one ) ] )
% 70.05/70.48 , 0, clause( 132184, [ =( addition( Y, X ), multiplication( addition( X, Y
% 70.05/70.48 ), codomain( addition( Y, X ) ) ) ) ] )
% 70.05/70.48 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.48 :=( X, antidomain( X ) ), :=( Y, domain( addition( X, Y ) ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132191, [ =( addition( domain( addition( X, Y ) ), antidomain( X )
% 70.05/70.48 ), codomain( addition( domain( addition( X, Y ) ), antidomain( X ) ) ) )
% 70.05/70.48 ] )
% 70.05/70.48 , clause( 8, [ =( multiplication( one, X ), X ) ] )
% 70.05/70.48 , 0, clause( 132189, [ =( addition( domain( addition( X, Y ) ), antidomain(
% 70.05/70.48 X ) ), multiplication( one, codomain( addition( domain( addition( X, Y )
% 70.05/70.48 ), antidomain( X ) ) ) ) ) ] )
% 70.05/70.48 , 0, 8, substitution( 0, [ :=( X, codomain( addition( domain( addition( X,
% 70.05/70.48 Y ) ), antidomain( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 70.05/70.48 )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132192, [ =( addition( domain( addition( X, Y ) ), antidomain( X )
% 70.05/70.48 ), one ) ] )
% 70.05/70.48 , clause( 48914, [ =( codomain( addition( domain( addition( X, Y ) ),
% 70.05/70.48 antidomain( X ) ) ), one ) ] )
% 70.05/70.48 , 0, clause( 132191, [ =( addition( domain( addition( X, Y ) ), antidomain(
% 70.05/70.48 X ) ), codomain( addition( domain( addition( X, Y ) ), antidomain( X ) )
% 70.05/70.48 ) ) ] )
% 70.05/70.48 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 93276, [ =( addition( domain( addition( X, Y ) ), antidomain( X ) )
% 70.05/70.48 , one ) ] )
% 70.05/70.48 , clause( 132192, [ =( addition( domain( addition( X, Y ) ), antidomain( X
% 70.05/70.48 ) ), one ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132195, [ =( true, leq( domain( X ), domain( addition( Y, X ) ) ) )
% 70.05/70.48 ] )
% 70.05/70.48 , clause( 92978, [ =( leq( domain( Y ), domain( addition( X, Y ) ) ), true
% 70.05/70.48 ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132196, [ =( true, leq( domain( multiplication( X, domain( Y ) ) )
% 70.05/70.48 , domain( X ) ) ) ] )
% 70.05/70.48 , clause( 525, [ =( addition( Y, multiplication( Y, domain( X ) ) ), Y ) ]
% 70.05/70.48 )
% 70.05/70.48 , 0, clause( 132195, [ =( true, leq( domain( X ), domain( addition( Y, X )
% 70.05/70.48 ) ) ) ] )
% 70.05/70.48 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.48 :=( X, multiplication( X, domain( Y ) ) ), :=( Y, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132197, [ =( leq( domain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 domain( X ) ), true ) ] )
% 70.05/70.48 , clause( 132196, [ =( true, leq( domain( multiplication( X, domain( Y ) )
% 70.05/70.48 ), domain( X ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 93767, [ =( leq( domain( multiplication( X, domain( Y ) ) ), domain(
% 70.05/70.48 X ) ), true ) ] )
% 70.05/70.48 , clause( 132197, [ =( leq( domain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 domain( X ) ), true ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132199, [ =( true, leq( domain( X ), domain( addition( Y, X ) ) ) )
% 70.05/70.48 ] )
% 70.05/70.48 , clause( 92978, [ =( leq( domain( Y ), domain( addition( X, Y ) ) ), true
% 70.05/70.48 ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132200, [ =( true, leq( domain( multiplication( X, antidomain( Y )
% 70.05/70.48 ) ), domain( X ) ) ) ] )
% 70.05/70.48 , clause( 524, [ =( addition( Y, multiplication( Y, antidomain( X ) ) ), Y
% 70.05/70.48 ) ] )
% 70.05/70.48 , 0, clause( 132199, [ =( true, leq( domain( X ), domain( addition( Y, X )
% 70.05/70.48 ) ) ) ] )
% 70.05/70.48 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.48 :=( X, multiplication( X, antidomain( Y ) ) ), :=( Y, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132201, [ =( leq( domain( multiplication( X, antidomain( Y ) ) ),
% 70.05/70.48 domain( X ) ), true ) ] )
% 70.05/70.48 , clause( 132200, [ =( true, leq( domain( multiplication( X, antidomain( Y
% 70.05/70.48 ) ) ), domain( X ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 93768, [ =( leq( domain( multiplication( X, antidomain( Y ) ) ),
% 70.05/70.48 domain( X ) ), true ) ] )
% 70.05/70.48 , clause( 132201, [ =( leq( domain( multiplication( X, antidomain( Y ) ) )
% 70.05/70.48 , domain( X ) ), true ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132203, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y ) ) ]
% 70.05/70.48 )
% 70.05/70.48 , clause( 106, [ =( ifeq( leq( X, Y ), true, addition( Y, X ), Y ), Y ) ]
% 70.05/70.48 )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132205, [ =( domain( X ), ifeq( true, true, addition( domain( X ),
% 70.05/70.48 domain( multiplication( X, domain( Y ) ) ) ), domain( X ) ) ) ] )
% 70.05/70.48 , clause( 93767, [ =( leq( domain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 domain( X ) ), true ) ] )
% 70.05/70.48 , 0, clause( 132203, [ =( Y, ifeq( leq( X, Y ), true, addition( Y, X ), Y )
% 70.05/70.48 ) ] )
% 70.05/70.48 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, domain( multiplication( X, domain( Y ) ) ) ), :=( Y, domain( X ) )] )
% 70.05/70.48 ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132206, [ =( domain( X ), addition( domain( X ), domain(
% 70.05/70.48 multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.48 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.48 , 0, clause( 132205, [ =( domain( X ), ifeq( true, true, addition( domain(
% 70.05/70.48 X ), domain( multiplication( X, domain( Y ) ) ) ), domain( X ) ) ) ] )
% 70.05/70.48 , 0, 3, substitution( 0, [ :=( X, true ), :=( Y, addition( domain( X ),
% 70.05/70.48 domain( multiplication( X, domain( Y ) ) ) ) ), :=( Z, domain( X ) )] ),
% 70.05/70.48 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132207, [ =( addition( domain( X ), domain( multiplication( X,
% 70.05/70.48 domain( Y ) ) ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132206, [ =( domain( X ), addition( domain( X ), domain(
% 70.05/70.48 multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 94438, [ =( addition( domain( X ), domain( multiplication( X,
% 70.05/70.48 domain( Y ) ) ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132207, [ =( addition( domain( X ), domain( multiplication( X,
% 70.05/70.48 domain( Y ) ) ) ), domain( X ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132209, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y ) ) ]
% 70.05/70.48 )
% 70.05/70.48 , clause( 13, [ =( ifeq( leq( X, Y ), true, addition( X, Y ), Y ), Y ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132211, [ =( domain( X ), ifeq( true, true, addition( domain(
% 70.05/70.48 multiplication( X, antidomain( Y ) ) ), domain( X ) ), domain( X ) ) ) ]
% 70.05/70.48 )
% 70.05/70.48 , clause( 93768, [ =( leq( domain( multiplication( X, antidomain( Y ) ) ),
% 70.05/70.48 domain( X ) ), true ) ] )
% 70.05/70.48 , 0, clause( 132209, [ =( Y, ifeq( leq( X, Y ), true, addition( X, Y ), Y )
% 70.05/70.48 ) ] )
% 70.05/70.48 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, domain( multiplication( X, antidomain( Y ) ) ) ), :=( Y, domain( X
% 70.05/70.48 ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132212, [ =( domain( X ), addition( domain( multiplication( X,
% 70.05/70.48 antidomain( Y ) ) ), domain( X ) ) ) ] )
% 70.05/70.48 , clause( 1, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 70.05/70.48 , 0, clause( 132211, [ =( domain( X ), ifeq( true, true, addition( domain(
% 70.05/70.48 multiplication( X, antidomain( Y ) ) ), domain( X ) ), domain( X ) ) ) ]
% 70.05/70.48 )
% 70.05/70.48 , 0, 3, substitution( 0, [ :=( X, true ), :=( Y, addition( domain(
% 70.05/70.48 multiplication( X, antidomain( Y ) ) ), domain( X ) ) ), :=( Z, domain( X
% 70.05/70.48 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132213, [ =( addition( domain( multiplication( X, antidomain( Y ) )
% 70.05/70.48 ), domain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132212, [ =( domain( X ), addition( domain( multiplication( X,
% 70.05/70.48 antidomain( Y ) ) ), domain( X ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 94452, [ =( addition( domain( multiplication( X, antidomain( Y ) )
% 70.05/70.48 ), domain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132213, [ =( addition( domain( multiplication( X, antidomain( Y )
% 70.05/70.48 ) ), domain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132215, [ =( domain( X ), addition( domain( X ), domain(
% 70.05/70.48 multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.48 , clause( 94438, [ =( addition( domain( X ), domain( multiplication( X,
% 70.05/70.48 domain( Y ) ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132220, [ =( domain( domain( multiplication( domain( X ),
% 70.05/70.48 antidomain( multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ),
% 70.05/70.48 addition( domain( domain( multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ), domain( domain(
% 70.05/70.48 X ) ) ) ) ] )
% 70.05/70.48 , clause( 67401, [ =( multiplication( domain( multiplication( X, antidomain(
% 70.05/70.48 multiplication( coantidomain( X ), Y ) ) ) ), X ), X ) ] )
% 70.05/70.48 , 0, clause( 132215, [ =( domain( X ), addition( domain( X ), domain(
% 70.05/70.48 multiplication( X, domain( Y ) ) ) ) ) ] )
% 70.05/70.48 , 0, 25, substitution( 0, [ :=( X, domain( X ) ), :=( Y, Y )] ),
% 70.05/70.48 substitution( 1, [ :=( X, domain( multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ), :=( Y, X )] )
% 70.05/70.48 ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132222, [ =( domain( domain( multiplication( domain( X ),
% 70.05/70.48 antidomain( multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ),
% 70.05/70.48 addition( domain( multiplication( domain( X ), antidomain( multiplication(
% 70.05/70.48 coantidomain( domain( X ) ), Y ) ) ) ), domain( domain( X ) ) ) ) ] )
% 70.05/70.48 , clause( 324, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132220, [ =( domain( domain( multiplication( domain( X ),
% 70.05/70.48 antidomain( multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ),
% 70.05/70.48 addition( domain( domain( multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ), domain( domain(
% 70.05/70.48 X ) ) ) ) ] )
% 70.05/70.48 , 0, 13, substitution( 0, [ :=( X, multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( coantidomain( domain( X ) ), Y ) ) ) )] ), substitution(
% 70.05/70.48 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132228, [ =( domain( domain( multiplication( domain( X ),
% 70.05/70.48 antidomain( multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ),
% 70.05/70.48 domain( domain( X ) ) ) ] )
% 70.05/70.48 , clause( 94452, [ =( addition( domain( multiplication( X, antidomain( Y )
% 70.05/70.48 ) ), domain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132222, [ =( domain( domain( multiplication( domain( X ),
% 70.05/70.48 antidomain( multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ),
% 70.05/70.48 addition( domain( multiplication( domain( X ), antidomain( multiplication(
% 70.05/70.48 coantidomain( domain( X ) ), Y ) ) ) ), domain( domain( X ) ) ) ) ] )
% 70.05/70.48 , 0, 12, substitution( 0, [ :=( X, domain( X ) ), :=( Y, multiplication(
% 70.05/70.48 coantidomain( domain( X ) ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.48 :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132230, [ =( domain( domain( multiplication( domain( X ),
% 70.05/70.48 antidomain( multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ),
% 70.05/70.48 domain( X ) ) ] )
% 70.05/70.48 , clause( 324, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132228, [ =( domain( domain( multiplication( domain( X ),
% 70.05/70.48 antidomain( multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ),
% 70.05/70.48 domain( domain( X ) ) ) ] )
% 70.05/70.48 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.48 :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132231, [ =( domain( multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( coantidomain( domain( X ) ), Y ) ) ) ), domain( X ) ) ]
% 70.05/70.48 )
% 70.05/70.48 , clause( 324, [ =( domain( domain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132230, [ =( domain( domain( multiplication( domain( X ),
% 70.05/70.48 antidomain( multiplication( coantidomain( domain( X ) ), Y ) ) ) ) ),
% 70.05/70.48 domain( X ) ) ] )
% 70.05/70.48 , 0, 1, substitution( 0, [ :=( X, multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( coantidomain( domain( X ) ), Y ) ) ) )] ), substitution(
% 70.05/70.48 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132234, [ =( domain( multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( antidomain( X ), Y ) ) ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 15751, [ =( coantidomain( domain( X ) ), antidomain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132231, [ =( domain( multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( coantidomain( domain( X ) ), Y ) ) ) ), domain( X ) ) ]
% 70.05/70.48 )
% 70.05/70.48 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.48 :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 101458, [ =( domain( multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( antidomain( X ), Y ) ) ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132234, [ =( domain( multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( antidomain( X ), Y ) ) ) ), domain( X ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132237, [ =( domain( X ), domain( multiplication( domain( X ),
% 70.05/70.48 antidomain( multiplication( antidomain( X ), Y ) ) ) ) ) ] )
% 70.05/70.48 , clause( 101458, [ =( domain( multiplication( domain( X ), antidomain(
% 70.05/70.48 multiplication( antidomain( X ), Y ) ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132240, [ =( domain( X ), domain( multiplication( domain( X ),
% 70.05/70.48 antidomain( addition( multiplication( antidomain( X ), Y ), antidomain( X
% 70.05/70.48 ) ) ) ) ) ) ] )
% 70.05/70.48 , clause( 447, [ =( multiplication( X, addition( Y, codomain( X ) ) ),
% 70.05/70.48 addition( multiplication( X, Y ), X ) ) ] )
% 70.05/70.48 , 0, clause( 132237, [ =( domain( X ), domain( multiplication( domain( X )
% 70.05/70.48 , antidomain( multiplication( antidomain( X ), Y ) ) ) ) ) ] )
% 70.05/70.48 , 0, 8, substitution( 0, [ :=( X, antidomain( X ) ), :=( Y, Y )] ),
% 70.05/70.48 substitution( 1, [ :=( X, X ), :=( Y, addition( Y, codomain( antidomain(
% 70.05/70.48 X ) ) ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132241, [ =( domain( X ), domain( antidomain( addition(
% 70.05/70.48 multiplication( antidomain( X ), Y ), antidomain( X ) ) ) ) ) ] )
% 70.05/70.48 , clause( 15949, [ =( multiplication( domain( X ), antidomain( addition( Y
% 70.05/70.48 , antidomain( X ) ) ) ), antidomain( addition( Y, antidomain( X ) ) ) ) ]
% 70.05/70.48 )
% 70.05/70.48 , 0, clause( 132240, [ =( domain( X ), domain( multiplication( domain( X )
% 70.05/70.48 , antidomain( addition( multiplication( antidomain( X ), Y ), antidomain(
% 70.05/70.48 X ) ) ) ) ) ) ] )
% 70.05/70.48 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, multiplication( antidomain( X
% 70.05/70.48 ), Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132242, [ =( domain( X ), antidomain( addition( multiplication(
% 70.05/70.48 antidomain( X ), Y ), antidomain( X ) ) ) ) ] )
% 70.05/70.48 , clause( 1005, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132241, [ =( domain( X ), domain( antidomain( addition(
% 70.05/70.48 multiplication( antidomain( X ), Y ), antidomain( X ) ) ) ) ) ] )
% 70.05/70.48 , 0, 3, substitution( 0, [ :=( X, addition( multiplication( antidomain( X )
% 70.05/70.48 , Y ), antidomain( X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 70.05/70.48 ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132243, [ =( antidomain( addition( multiplication( antidomain( X )
% 70.05/70.48 , Y ), antidomain( X ) ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132242, [ =( domain( X ), antidomain( addition( multiplication(
% 70.05/70.48 antidomain( X ), Y ), antidomain( X ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 125750, [ =( antidomain( addition( multiplication( antidomain( X )
% 70.05/70.48 , Y ), antidomain( X ) ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132243, [ =( antidomain( addition( multiplication( antidomain( X
% 70.05/70.48 ), Y ), antidomain( X ) ) ), domain( X ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132245, [ =( domain( X ), antidomain( addition( multiplication(
% 70.05/70.48 antidomain( X ), Y ), antidomain( X ) ) ) ) ] )
% 70.05/70.48 , clause( 125750, [ =( antidomain( addition( multiplication( antidomain( X
% 70.05/70.48 ), Y ), antidomain( X ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132246, [ =( domain( X ), antidomain( multiplication( antidomain( X
% 70.05/70.48 ), addition( Y, one ) ) ) ) ] )
% 70.05/70.48 , clause( 591, [ =( addition( multiplication( X, addition( Y, one ) ), X )
% 70.05/70.48 , multiplication( X, addition( Y, one ) ) ) ] )
% 70.05/70.48 , 0, clause( 132245, [ =( domain( X ), antidomain( addition( multiplication(
% 70.05/70.48 antidomain( X ), Y ), antidomain( X ) ) ) ) ] )
% 70.05/70.48 , 0, 4, substitution( 0, [ :=( X, antidomain( X ) ), :=( Y, Y )] ),
% 70.05/70.48 substitution( 1, [ :=( X, X ), :=( Y, addition( Y, one ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132247, [ =( antidomain( multiplication( antidomain( X ), addition(
% 70.05/70.48 Y, one ) ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132246, [ =( domain( X ), antidomain( multiplication( antidomain(
% 70.05/70.48 X ), addition( Y, one ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 126486, [ =( antidomain( multiplication( antidomain( X ), addition(
% 70.05/70.48 Y, one ) ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132247, [ =( antidomain( multiplication( antidomain( X ),
% 70.05/70.48 addition( Y, one ) ) ), domain( X ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132249, [ =( domain( X ), antidomain( addition( multiplication(
% 70.05/70.48 antidomain( X ), Y ), antidomain( X ) ) ) ) ] )
% 70.05/70.48 , clause( 125750, [ =( antidomain( addition( multiplication( antidomain( X
% 70.05/70.48 ), Y ), antidomain( X ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132253, [ =( domain( antidomain( X ) ), antidomain( addition(
% 70.05/70.48 multiplication( antidomain( antidomain( X ) ), Y ), domain( X ) ) ) ) ]
% 70.05/70.48 )
% 70.05/70.48 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132249, [ =( domain( X ), antidomain( addition( multiplication(
% 70.05/70.48 antidomain( X ), Y ), antidomain( X ) ) ) ) ] )
% 70.05/70.48 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 70.05/70.48 antidomain( X ) ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132254, [ =( domain( antidomain( X ) ), antidomain( addition(
% 70.05/70.48 multiplication( domain( X ), Y ), domain( X ) ) ) ) ] )
% 70.05/70.48 , clause( 18, [ =( antidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132253, [ =( domain( antidomain( X ) ), antidomain( addition(
% 70.05/70.48 multiplication( antidomain( antidomain( X ) ), Y ), domain( X ) ) ) ) ]
% 70.05/70.48 )
% 70.05/70.48 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.48 :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132257, [ =( antidomain( X ), antidomain( addition( multiplication(
% 70.05/70.48 domain( X ), Y ), domain( X ) ) ) ) ] )
% 70.05/70.48 , clause( 1005, [ =( domain( antidomain( X ) ), antidomain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132254, [ =( domain( antidomain( X ) ), antidomain( addition(
% 70.05/70.48 multiplication( domain( X ), Y ), domain( X ) ) ) ) ] )
% 70.05/70.48 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 70.05/70.48 :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132258, [ =( antidomain( addition( multiplication( domain( X ), Y )
% 70.05/70.48 , domain( X ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , clause( 132257, [ =( antidomain( X ), antidomain( addition(
% 70.05/70.48 multiplication( domain( X ), Y ), domain( X ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 126492, [ =( antidomain( addition( multiplication( domain( X ), Y )
% 70.05/70.48 , domain( X ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , clause( 132258, [ =( antidomain( addition( multiplication( domain( X ), Y
% 70.05/70.48 ), domain( X ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132260, [ =( domain( X ), antidomain( addition( multiplication(
% 70.05/70.48 antidomain( X ), Y ), antidomain( X ) ) ) ) ] )
% 70.05/70.48 , clause( 125750, [ =( antidomain( addition( multiplication( antidomain( X
% 70.05/70.48 ), Y ), antidomain( X ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132264, [ =( domain( multiplication( antidomain( X ), addition( Y,
% 70.05/70.48 one ) ) ), antidomain( addition( multiplication( antidomain(
% 70.05/70.48 multiplication( antidomain( X ), addition( Y, one ) ) ), Z ), domain( X )
% 70.05/70.48 ) ) ) ] )
% 70.05/70.48 , clause( 126486, [ =( antidomain( multiplication( antidomain( X ),
% 70.05/70.48 addition( Y, one ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132260, [ =( domain( X ), antidomain( addition( multiplication(
% 70.05/70.48 antidomain( X ), Y ), antidomain( X ) ) ) ) ] )
% 70.05/70.48 , 0, 19, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, multiplication( antidomain( X ), addition( Y, one ) ) ), :=( Y, Z
% 70.05/70.48 )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132265, [ =( domain( multiplication( antidomain( X ), addition( Y,
% 70.05/70.48 one ) ) ), antidomain( addition( multiplication( domain( X ), Z ), domain(
% 70.05/70.48 X ) ) ) ) ] )
% 70.05/70.48 , clause( 126486, [ =( antidomain( multiplication( antidomain( X ),
% 70.05/70.48 addition( Y, one ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132264, [ =( domain( multiplication( antidomain( X ), addition(
% 70.05/70.48 Y, one ) ) ), antidomain( addition( multiplication( antidomain(
% 70.05/70.48 multiplication( antidomain( X ), addition( Y, one ) ) ), Z ), domain( X )
% 70.05/70.48 ) ) ) ] )
% 70.05/70.48 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132266, [ =( domain( multiplication( antidomain( X ), addition( Y,
% 70.05/70.48 one ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , clause( 126492, [ =( antidomain( addition( multiplication( domain( X ), Y
% 70.05/70.48 ), domain( X ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132265, [ =( domain( multiplication( antidomain( X ), addition(
% 70.05/70.48 Y, one ) ) ), antidomain( addition( multiplication( domain( X ), Z ),
% 70.05/70.48 domain( X ) ) ) ) ] )
% 70.05/70.48 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 70.05/70.48 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 126494, [ =( domain( multiplication( antidomain( X ), addition( Y,
% 70.05/70.48 one ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , clause( 132266, [ =( domain( multiplication( antidomain( X ), addition( Y
% 70.05/70.48 , one ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132269, [ =( antidomain( X ), domain( multiplication( antidomain( X
% 70.05/70.48 ), addition( Y, one ) ) ) ) ] )
% 70.05/70.48 , clause( 126494, [ =( domain( multiplication( antidomain( X ), addition( Y
% 70.05/70.48 , one ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132273, [ =( antidomain( multiplication( antidomain( X ), addition(
% 70.05/70.48 Y, one ) ) ), domain( multiplication( domain( X ), addition( Z, one ) ) )
% 70.05/70.48 ) ] )
% 70.05/70.48 , clause( 126486, [ =( antidomain( multiplication( antidomain( X ),
% 70.05/70.48 addition( Y, one ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132269, [ =( antidomain( X ), domain( multiplication(
% 70.05/70.48 antidomain( X ), addition( Y, one ) ) ) ) ] )
% 70.05/70.48 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, multiplication( antidomain( X ), addition( Y, one ) ) ), :=( Y, Z
% 70.05/70.48 )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132274, [ =( domain( X ), domain( multiplication( domain( X ),
% 70.05/70.48 addition( Z, one ) ) ) ) ] )
% 70.05/70.48 , clause( 126486, [ =( antidomain( multiplication( antidomain( X ),
% 70.05/70.48 addition( Y, one ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132273, [ =( antidomain( multiplication( antidomain( X ),
% 70.05/70.48 addition( Y, one ) ) ), domain( multiplication( domain( X ), addition( Z
% 70.05/70.48 , one ) ) ) ) ] )
% 70.05/70.48 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132276, [ =( domain( multiplication( domain( X ), addition( Y, one
% 70.05/70.48 ) ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132274, [ =( domain( X ), domain( multiplication( domain( X ),
% 70.05/70.48 addition( Z, one ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 126516, [ =( domain( multiplication( domain( X ), addition( Z, one
% 70.05/70.48 ) ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132276, [ =( domain( multiplication( domain( X ), addition( Y,
% 70.05/70.48 one ) ) ), domain( X ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132279, [ =( domain( X ), domain( multiplication( domain( X ),
% 70.05/70.48 addition( Y, one ) ) ) ) ] )
% 70.05/70.48 , clause( 126516, [ =( domain( multiplication( domain( X ), addition( Z,
% 70.05/70.48 one ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132286, [ =( domain( X ), domain( addition( multiplication( X, Y )
% 70.05/70.48 , domain( X ) ) ) ) ] )
% 70.05/70.48 , clause( 4834, [ =( multiplication( domain( X ), addition( multiplication(
% 70.05/70.48 X, Y ), one ) ), addition( multiplication( X, Y ), domain( X ) ) ) ] )
% 70.05/70.48 , 0, clause( 132279, [ =( domain( X ), domain( multiplication( domain( X )
% 70.05/70.48 , addition( Y, one ) ) ) ) ] )
% 70.05/70.48 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, X ), :=( Y, multiplication( X, Y ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132287, [ =( domain( addition( multiplication( X, Y ), domain( X )
% 70.05/70.48 ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132286, [ =( domain( X ), domain( addition( multiplication( X, Y
% 70.05/70.48 ), domain( X ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 126564, [ =( domain( addition( multiplication( X, Y ), domain( X )
% 70.05/70.48 ) ), domain( X ) ) ] )
% 70.05/70.48 , clause( 132287, [ =( domain( addition( multiplication( X, Y ), domain( X
% 70.05/70.48 ) ) ), domain( X ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132289, [ =( one, addition( domain( addition( X, Y ) ), antidomain(
% 70.05/70.48 X ) ) ) ] )
% 70.05/70.48 , clause( 93276, [ =( addition( domain( addition( X, Y ) ), antidomain( X )
% 70.05/70.48 ), one ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132290, [ =( one, addition( domain( X ), antidomain( multiplication(
% 70.05/70.48 X, Y ) ) ) ) ] )
% 70.05/70.48 , clause( 126564, [ =( domain( addition( multiplication( X, Y ), domain( X
% 70.05/70.48 ) ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132289, [ =( one, addition( domain( addition( X, Y ) ),
% 70.05/70.48 antidomain( X ) ) ) ] )
% 70.05/70.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, multiplication( X, Y ) ), :=( Y, domain( X ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132291, [ =( addition( domain( X ), antidomain( multiplication( X,
% 70.05/70.48 Y ) ) ), one ) ] )
% 70.05/70.48 , clause( 132290, [ =( one, addition( domain( X ), antidomain(
% 70.05/70.48 multiplication( X, Y ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 127567, [ =( addition( domain( X ), antidomain( multiplication( X,
% 70.05/70.48 Y ) ) ), one ) ] )
% 70.05/70.48 , clause( 132291, [ =( addition( domain( X ), antidomain( multiplication( X
% 70.05/70.48 , Y ) ) ), one ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132293, [ =( multiplication( antidomain( X ), Y ), multiplication(
% 70.05/70.48 antidomain( X ), addition( domain( X ), Y ) ) ) ] )
% 70.05/70.48 , clause( 417, [ =( multiplication( antidomain( X ), addition( domain( X )
% 70.05/70.48 , Y ) ), multiplication( antidomain( X ), Y ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132296, [ =( multiplication( antidomain( X ), antidomain(
% 70.05/70.48 multiplication( X, Y ) ) ), multiplication( antidomain( X ), one ) ) ] )
% 70.05/70.48 , clause( 127567, [ =( addition( domain( X ), antidomain( multiplication( X
% 70.05/70.48 , Y ) ) ), one ) ] )
% 70.05/70.48 , 0, clause( 132293, [ =( multiplication( antidomain( X ), Y ),
% 70.05/70.48 multiplication( antidomain( X ), addition( domain( X ), Y ) ) ) ] )
% 70.05/70.48 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, X ), :=( Y, antidomain( multiplication( X, Y ) ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132297, [ =( multiplication( antidomain( X ), antidomain(
% 70.05/70.48 multiplication( X, Y ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , clause( 7, [ =( multiplication( X, one ), X ) ] )
% 70.05/70.48 , 0, clause( 132296, [ =( multiplication( antidomain( X ), antidomain(
% 70.05/70.48 multiplication( X, Y ) ) ), multiplication( antidomain( X ), one ) ) ] )
% 70.05/70.48 , 0, 8, substitution( 0, [ :=( X, antidomain( X ) )] ), substitution( 1, [
% 70.05/70.48 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 127777, [ =( multiplication( antidomain( X ), antidomain(
% 70.05/70.48 multiplication( X, Y ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , clause( 132297, [ =( multiplication( antidomain( X ), antidomain(
% 70.05/70.48 multiplication( X, Y ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132300, [ =( antidomain( X ), multiplication( antidomain( X ),
% 70.05/70.48 antidomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.48 , clause( 127777, [ =( multiplication( antidomain( X ), antidomain(
% 70.05/70.48 multiplication( X, Y ) ) ), antidomain( X ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132303, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 multiplication( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 antidomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.48 , clause( 321, [ =( multiplication( multiplication( Y, domain( X ) ), X ),
% 70.05/70.48 multiplication( Y, X ) ) ] )
% 70.05/70.48 , 0, clause( 132300, [ =( antidomain( X ), multiplication( antidomain( X )
% 70.05/70.48 , antidomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.48 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 70.05/70.48 :=( X, multiplication( X, domain( Y ) ) ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132304, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 antidomain( multiplication( X, Y ) ) ) ] )
% 70.05/70.48 , clause( 11313, [ =( multiplication( antidomain( multiplication( X, domain(
% 70.05/70.48 Y ) ) ), antidomain( multiplication( X, Y ) ) ), antidomain(
% 70.05/70.48 multiplication( X, Y ) ) ) ] )
% 70.05/70.48 , 0, clause( 132303, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 multiplication( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 antidomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.48 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 128844, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 antidomain( multiplication( X, Y ) ) ) ] )
% 70.05/70.48 , clause( 132304, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 antidomain( multiplication( X, Y ) ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqswap(
% 70.05/70.48 clause( 132307, [ =( domain( X ), coantidomain( antidomain( X ) ) ) ] )
% 70.05/70.48 , clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [ :=( X, X )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132309, [ =( domain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 coantidomain( antidomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.48 , clause( 128844, [ =( antidomain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 antidomain( multiplication( X, Y ) ) ) ] )
% 70.05/70.48 , 0, clause( 132307, [ =( domain( X ), coantidomain( antidomain( X ) ) ) ]
% 70.05/70.48 )
% 70.05/70.48 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 70.05/70.48 :=( X, multiplication( X, domain( Y ) ) )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132310, [ =( domain( multiplication( X, domain( Y ) ) ), domain(
% 70.05/70.48 multiplication( X, Y ) ) ) ] )
% 70.05/70.48 , clause( 15750, [ =( coantidomain( antidomain( X ) ), domain( X ) ) ] )
% 70.05/70.48 , 0, clause( 132309, [ =( domain( multiplication( X, domain( Y ) ) ),
% 70.05/70.48 coantidomain( antidomain( multiplication( X, Y ) ) ) ) ] )
% 70.05/70.48 , 0, 6, substitution( 0, [ :=( X, multiplication( X, Y ) )] ),
% 70.05/70.48 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 129177, [ =( domain( multiplication( X, domain( Y ) ) ), domain(
% 70.05/70.48 multiplication( X, Y ) ) ) ] )
% 70.05/70.48 , clause( 132310, [ =( domain( multiplication( X, domain( Y ) ) ), domain(
% 70.05/70.48 multiplication( X, Y ) ) ) ] )
% 70.05/70.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 70.05/70.48 )] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 paramod(
% 70.05/70.48 clause( 132314, [ ~( =( domain( multiplication( 'sK2_goals_X0',
% 70.05/70.48 'sK1_goals_X1' ) ), domain( multiplication( 'sK2_goals_X0',
% 70.05/70.48 'sK1_goals_X1' ) ) ) ) ] )
% 70.05/70.48 , clause( 129177, [ =( domain( multiplication( X, domain( Y ) ) ), domain(
% 70.05/70.48 multiplication( X, Y ) ) ) ] )
% 70.05/70.48 , 0, clause( 23, [ ~( =( domain( multiplication( 'sK2_goals_X0', domain(
% 70.05/70.48 'sK1_goals_X1' ) ) ), domain( multiplication( 'sK2_goals_X0',
% 70.05/70.48 'sK1_goals_X1' ) ) ) ) ] )
% 70.05/70.48 , 0, 2, substitution( 0, [ :=( X, 'sK2_goals_X0' ), :=( Y, 'sK1_goals_X1' )] )
% 70.05/70.48 , substitution( 1, [] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 eqrefl(
% 70.05/70.48 clause( 132315, [] )
% 70.05/70.48 , clause( 132314, [ ~( =( domain( multiplication( 'sK2_goals_X0',
% 70.05/70.48 'sK1_goals_X1' ) ), domain( multiplication( 'sK2_goals_X0',
% 70.05/70.48 'sK1_goals_X1' ) ) ) ) ] )
% 70.05/70.48 , 0, substitution( 0, [] )).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 subsumption(
% 70.05/70.48 clause( 129650, [] )
% 70.05/70.48 , clause( 132315, [] )
% 70.05/70.48 , substitution( 0, [] ), permutation( 0, [] ) ).
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 end.
% 70.05/70.48
% 70.05/70.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 70.05/70.48
% 70.05/70.48 Memory use:
% 70.05/70.48
% 70.05/70.48 space for terms: 1840520
% 70.05/70.48 space for clauses: 13217667
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 clauses generated: 17243293
% 70.05/70.48 clauses kept: 129651
% 70.05/70.48 clauses selected: 8831
% 70.05/70.48 clauses deleted: 47025
% 70.05/70.48 clauses inuse deleted: 2786
% 70.05/70.48
% 70.05/70.48 subsentry: 239258
% 70.05/70.48 literals s-matched: 233599
% 70.05/70.48 literals matched: 233269
% 70.05/70.48 full subsumption: 0
% 70.05/70.48
% 70.05/70.48 checksum: -1642470983
% 70.05/70.48
% 70.05/70.48
% 70.05/70.48 Bliksem ended
%------------------------------------------------------------------------------