TSTP Solution File: GRP682+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP682+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 : Sat Jul 16 07:38:51 EDT 2022
% Result : Theorem 0.76s 1.23s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP682+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jun 14 04:17:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.76/1.23 *** allocated 10000 integers for termspace/termends
% 0.76/1.23 *** allocated 10000 integers for clauses
% 0.76/1.23 *** allocated 10000 integers for justifications
% 0.76/1.23 Bliksem 1.12
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 Automatic Strategy Selection
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 Clauses:
% 0.76/1.23
% 0.76/1.23 { ld( X, mult( X, X ) ) = X }.
% 0.76/1.23 { rd( mult( X, X ), X ) = X }.
% 0.76/1.23 { mult( Y, ld( Y, X ) ) = ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 { mult( rd( Y, X ), X ) = rd( mult( Y, X ), X ) }.
% 0.76/1.23 { ld( ld( T, Z ), mult( ld( T, Z ), mult( Y, X ) ) ) = mult( ld( T, mult( T
% 0.76/1.23 , Y ) ), X ) }.
% 0.76/1.23 { rd( mult( mult( T, Z ), rd( Y, X ) ), rd( Y, X ) ) = mult( T, rd( mult( Z
% 0.76/1.23 , X ), X ) ) }.
% 0.76/1.23 { ld( Y, mult( Y, ld( X, X ) ) ) = rd( mult( rd( Y, Y ), X ), X ) }.
% 0.76/1.23 { ! ld( ld( skol1, skol2 ), mult( ld( skol1, skol2 ), skol3 ) ) = ld( skol1
% 0.76/1.23 , mult( skol1, skol3 ) ), ! ld( rd( skol1, skol2 ), mult( rd( skol1,
% 0.76/1.23 skol2 ), skol3 ) ) = ld( skol1, mult( skol1, skol3 ) ) }.
% 0.76/1.23
% 0.76/1.23 percentage equality = 1.000000, percentage horn = 1.000000
% 0.76/1.23 This is a pure equality problem
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 Options Used:
% 0.76/1.23
% 0.76/1.23 useres = 1
% 0.76/1.23 useparamod = 1
% 0.76/1.23 useeqrefl = 1
% 0.76/1.23 useeqfact = 1
% 0.76/1.23 usefactor = 1
% 0.76/1.23 usesimpsplitting = 0
% 0.76/1.23 usesimpdemod = 5
% 0.76/1.23 usesimpres = 3
% 0.76/1.23
% 0.76/1.23 resimpinuse = 1000
% 0.76/1.23 resimpclauses = 20000
% 0.76/1.23 substype = eqrewr
% 0.76/1.23 backwardsubs = 1
% 0.76/1.23 selectoldest = 5
% 0.76/1.23
% 0.76/1.23 litorderings [0] = split
% 0.76/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.23
% 0.76/1.23 termordering = kbo
% 0.76/1.23
% 0.76/1.23 litapriori = 0
% 0.76/1.23 termapriori = 1
% 0.76/1.23 litaposteriori = 0
% 0.76/1.23 termaposteriori = 0
% 0.76/1.23 demodaposteriori = 0
% 0.76/1.23 ordereqreflfact = 0
% 0.76/1.23
% 0.76/1.23 litselect = negord
% 0.76/1.23
% 0.76/1.23 maxweight = 15
% 0.76/1.23 maxdepth = 30000
% 0.76/1.23 maxlength = 115
% 0.76/1.23 maxnrvars = 195
% 0.76/1.23 excuselevel = 1
% 0.76/1.23 increasemaxweight = 1
% 0.76/1.23
% 0.76/1.23 maxselected = 10000000
% 0.76/1.23 maxnrclauses = 10000000
% 0.76/1.23
% 0.76/1.23 showgenerated = 0
% 0.76/1.23 showkept = 0
% 0.76/1.23 showselected = 0
% 0.76/1.23 showdeleted = 0
% 0.76/1.23 showresimp = 1
% 0.76/1.23 showstatus = 2000
% 0.76/1.23
% 0.76/1.23 prologoutput = 0
% 0.76/1.23 nrgoals = 5000000
% 0.76/1.23 totalproof = 1
% 0.76/1.23
% 0.76/1.23 Symbols occurring in the translation:
% 0.76/1.23
% 0.76/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.23 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.76/1.23 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.76/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.23 mult [36, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.76/1.23 ld [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.76/1.23 rd [38, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.76/1.23 skol1 [45, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.76/1.23 skol2 [46, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.76/1.23 skol3 [47, 0] (w:1, o:15, a:1, s:1, b:1).
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 Starting Search:
% 0.76/1.23
% 0.76/1.23 *** allocated 15000 integers for clauses
% 0.76/1.23 Resimplifying inuse:
% 0.76/1.23 Done
% 0.76/1.23
% 0.76/1.23 Resimplifying inuse:
% 0.76/1.23 Done
% 0.76/1.23
% 0.76/1.23 Failed to find proof!
% 0.76/1.23 maxweight = 15
% 0.76/1.23 maxnrclauses = 10000000
% 0.76/1.23 Generated: 2229
% 0.76/1.23 Kept: 82
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 The strategy used was not complete!
% 0.76/1.23
% 0.76/1.23 Increased maxweight to 16
% 0.76/1.23
% 0.76/1.23 Starting Search:
% 0.76/1.23
% 0.76/1.23 Resimplifying inuse:
% 0.76/1.23 Done
% 0.76/1.23
% 0.76/1.23 Resimplifying inuse:
% 0.76/1.23 Done
% 0.76/1.23
% 0.76/1.23 Failed to find proof!
% 0.76/1.23 maxweight = 16
% 0.76/1.23 maxnrclauses = 10000000
% 0.76/1.23 Generated: 2229
% 0.76/1.23 Kept: 82
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 The strategy used was not complete!
% 0.76/1.23
% 0.76/1.23 Increased maxweight to 17
% 0.76/1.23
% 0.76/1.23 Starting Search:
% 0.76/1.23
% 0.76/1.23 Resimplifying inuse:
% 0.76/1.23 Done
% 0.76/1.23
% 0.76/1.23 Resimplifying inuse:
% 0.76/1.23 Done
% 0.76/1.23
% 0.76/1.23 Failed to find proof!
% 0.76/1.23 maxweight = 17
% 0.76/1.23 maxnrclauses = 10000000
% 0.76/1.23 Generated: 2229
% 0.76/1.23 Kept: 82
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 The strategy used was not complete!
% 0.76/1.23
% 0.76/1.23 Increased maxweight to 18
% 0.76/1.23
% 0.76/1.23 Starting Search:
% 0.76/1.23
% 0.76/1.23 Resimplifying inuse:
% 0.76/1.23 Done
% 0.76/1.23
% 0.76/1.23 Resimplifying inuse:
% 0.76/1.23 Done
% 0.76/1.23
% 0.76/1.23 Failed to find proof!
% 0.76/1.23 maxweight = 18
% 0.76/1.23 maxnrclauses = 10000000
% 0.76/1.23 Generated: 2229
% 0.76/1.23 Kept: 82
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 The strategy used was not complete!
% 0.76/1.23
% 0.76/1.23 Increased maxweight to 19
% 0.76/1.23
% 0.76/1.23 Starting Search:
% 0.76/1.23
% 0.76/1.23 *** allocated 22500 integers for clauses
% 0.76/1.23 *** allocated 33750 integers for clauses
% 0.76/1.23
% 0.76/1.23 Bliksems!, er is een bewijs:
% 0.76/1.23 % SZS status Theorem
% 0.76/1.23 % SZS output start Refutation
% 0.76/1.23
% 0.76/1.23 (0) {G0,W7,D4,L1,V1,M1} I { ld( X, mult( X, X ) ) ==> X }.
% 0.76/1.23 (1) {G0,W7,D4,L1,V1,M1} I { rd( mult( X, X ), X ) ==> X }.
% 0.76/1.23 (2) {G0,W11,D4,L1,V2,M1} I { mult( Y, ld( Y, X ) ) ==> ld( Y, mult( Y, X )
% 0.76/1.23 ) }.
% 0.76/1.23 (3) {G0,W11,D4,L1,V2,M1} I { rd( mult( Y, X ), X ) ==> mult( rd( Y, X ), X
% 0.76/1.23 ) }.
% 0.76/1.23 (4) {G0,W19,D5,L1,V4,M1} I { ld( ld( T, Z ), mult( ld( T, Z ), mult( Y, X )
% 0.76/1.23 ) ) ==> mult( ld( T, mult( T, Y ) ), X ) }.
% 0.76/1.23 (5) {G1,W19,D5,L1,V4,M1} I;d(3);d(3) { mult( rd( mult( T, Z ), rd( Y, X ) )
% 0.76/1.23 , rd( Y, X ) ) ==> mult( T, mult( rd( Z, X ), X ) ) }.
% 0.76/1.23 (6) {G1,W15,D5,L1,V2,M1} I;d(3) { mult( rd( rd( Y, Y ), X ), X ) ==> ld( Y
% 0.76/1.23 , mult( Y, ld( X, X ) ) ) }.
% 0.76/1.23 (7) {G0,W30,D5,L2,V0,M2} I { ! ld( ld( skol1, skol2 ), mult( ld( skol1,
% 0.76/1.23 skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1, skol3 ) ), ! ld( rd( skol1
% 0.76/1.23 , skol2 ), mult( rd( skol1, skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1
% 0.76/1.23 , skol3 ) ) }.
% 0.76/1.23 (8) {G1,W7,D4,L1,V1,M1} S(1);d(3) { mult( rd( X, X ), X ) ==> X }.
% 0.76/1.23 (9) {G2,W7,D3,L1,V1,M1} P(8,3);d(6);d(2);d(0) { rd( X, X ) ==> ld( X, X )
% 0.76/1.23 }.
% 0.76/1.23 (10) {G3,W7,D4,L1,V1,M1} P(9,8) { mult( ld( X, X ), X ) ==> X }.
% 0.76/1.23 (11) {G1,W19,D5,L1,V2,M1} P(2,3) { rd( ld( X, mult( X, Y ) ), ld( X, Y ) )
% 0.76/1.23 ==> mult( rd( X, ld( X, Y ) ), ld( X, Y ) ) }.
% 0.76/1.23 (13) {G4,W11,D5,L1,V1,M1} P(10,3);d(9) { mult( rd( ld( X, X ), X ), X ) ==>
% 0.76/1.23 ld( X, X ) }.
% 0.76/1.23 (16) {G3,W15,D5,L1,V2,M1} S(6);d(9) { mult( rd( ld( Y, Y ), X ), X ) ==> ld
% 0.76/1.23 ( Y, mult( Y, ld( X, X ) ) ) }.
% 0.76/1.23 (23) {G1,W15,D5,L1,V3,M1} P(0,4) { mult( ld( X, mult( X, Y ) ), Z ) ==> ld
% 0.76/1.23 ( X, mult( X, mult( Y, Z ) ) ) }.
% 0.76/1.23 (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ), mult( ld( Y,
% 0.76/1.23 Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 (30) {G2,W11,D5,L1,V2,M1} P(0,23) { ld( X, mult( X, mult( X, Y ) ) ) ==>
% 0.76/1.23 mult( X, Y ) }.
% 0.76/1.23 (34) {G5,W19,D6,L1,V1,M1} P(13,30) { ld( rd( ld( X, X ), X ), mult( rd( ld
% 0.76/1.23 ( X, X ), X ), ld( X, X ) ) ) ==> ld( X, X ) }.
% 0.76/1.23 (35) {G3,W15,D5,L1,V3,M1} P(30,24) { ld( mult( X, Y ), mult( mult( X, Y ),
% 0.76/1.23 Z ) ) ==> ld( X, mult( X, Z ) ) }.
% 0.76/1.23 (38) {G3,W15,D5,L1,V3,M1} P(24,2);d(30) { mult( ld( X, Y ), ld( X, mult( X
% 0.76/1.23 , Z ) ) ) ==> mult( ld( X, Y ), Z ) }.
% 0.76/1.23 (39) {G3,W19,D6,L1,V3,M1} P(2,24);d(24) { ld( X, mult( X, ld( ld( X, Y ), Z
% 0.76/1.23 ) ) ) ==> ld( ld( X, Y ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 (40) {G3,W11,D5,L1,V2,M1} P(24,0);d(2) { ld( X, ld( X, mult( X, Y ) ) ) ==>
% 0.76/1.23 ld( X, Y ) }.
% 0.76/1.23 (41) {G4,W19,D5,L1,V3,M1} P(10,5) { mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) )
% 0.76/1.23 = mult( ld( X, X ), mult( rd( X, Z ), Z ) ) }.
% 0.76/1.23 (43) {G4,W15,D5,L1,V3,M1} P(24,40) { ld( ld( X, Y ), ld( X, mult( X, Z ) )
% 0.76/1.23 ) ==> ld( ld( X, Y ), Z ) }.
% 0.76/1.23 (54) {G3,W15,D5,L1,V0,M1} S(7);d(24);q { ! ld( rd( skol1, skol2 ), mult( rd
% 0.76/1.23 ( skol1, skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1, skol3 ) ) }.
% 0.76/1.23 (57) {G4,W19,D5,L1,V4,M1} P(38,38);d(38) { mult( ld( ld( X, Y ), T ), ld( X
% 0.76/1.23 , mult( X, Z ) ) ) ==> mult( ld( ld( X, Y ), T ), Z ) }.
% 0.76/1.23 (61) {G5,W19,D7,L1,V3,M1} P(43,16);d(24) { mult( rd( ld( ld( X, mult( X, Y
% 0.76/1.23 ) ), Y ), Z ), Z ) ==> ld( X, mult( X, ld( Z, Z ) ) ) }.
% 0.76/1.23 (62) {G5,W11,D4,L1,V1,M1} P(9,16);d(10);d(39);d(43) { ld( ld( X, X ), ld( X
% 0.76/1.23 , X ) ) ==> ld( X, X ) }.
% 0.76/1.23 (64) {G2,W15,D5,L1,V1,M1} P(0,11) { mult( rd( X, ld( X, X ) ), ld( X, X ) )
% 0.76/1.23 ==> rd( X, ld( X, X ) ) }.
% 0.76/1.23 (74) {G5,W15,D6,L1,V2,M1} P(57,10);d(43) { mult( ld( ld( X, mult( X, Y ) )
% 0.76/1.23 , Y ), Y ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 (76) {G6,W15,D5,L1,V2,M1} P(74,3);d(61) { rd( ld( X, mult( X, Y ) ), Y )
% 0.76/1.23 ==> ld( X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 (78) {G7,W15,D6,L1,V1,M1} P(13,76);d(34) { rd( ld( rd( ld( X, X ), X ), ld
% 0.76/1.23 ( X, X ) ), X ) ==> ld( X, X ) }.
% 0.76/1.23 (79) {G5,W19,D5,L1,V4,M1} P(41,41) { mult( rd( X, rd( T, Y ) ), rd( T, Y )
% 0.76/1.23 ) = mult( rd( X, rd( Z, Y ) ), rd( Z, Y ) ) }.
% 0.76/1.23 (83) {G5,W19,D6,L1,V4,M1} P(41,35);d(35);d(24) { ld( rd( X, rd( Y, Z ) ),
% 0.76/1.23 mult( rd( X, rd( Y, Z ) ), T ) ) ==> ld( X, mult( X, T ) ) }.
% 0.76/1.23 (86) {G5,W11,D5,L1,V2,M1} P(9,41);d(10);d(10) { mult( rd( X, rd( Y, X ) ),
% 0.76/1.23 rd( Y, X ) ) ==> X }.
% 0.76/1.23 (89) {G8,W7,D4,L1,V1,M1} P(78,86);d(64) { rd( X, ld( X, X ) ) ==> X }.
% 0.76/1.23 (169) {G9,W19,D6,L1,V3,M1} P(89,79) { mult( rd( Y, rd( Z, ld( X, X ) ) ),
% 0.76/1.23 rd( Z, ld( X, X ) ) ) ==> mult( rd( Y, X ), X ) }.
% 0.76/1.23 (170) {G8,W19,D5,L1,V3,M1} P(78,79) { mult( rd( Y, ld( X, X ) ), ld( X, X )
% 0.76/1.23 ) = mult( rd( Y, rd( Z, X ) ), rd( Z, X ) ) }.
% 0.76/1.23 (175) {G9,W15,D5,L1,V2,M1} P(89,170);d(62) { mult( rd( Y, ld( X, X ) ), ld
% 0.76/1.23 ( X, X ) ) ==> mult( rd( Y, X ), X ) }.
% 0.76/1.23 (176) {G10,W15,D5,L1,V2,M1} P(170,41);d(175) { mult( ld( X, X ), mult( rd(
% 0.76/1.23 X, Z ), Z ) ) ==> mult( rd( X, Z ), Z ) }.
% 0.76/1.23 (177) {G11,W15,D5,L1,V3,M1} P(170,41);d(169);d(176) { mult( rd( X, rd( Z, Y
% 0.76/1.23 ) ), rd( Z, Y ) ) ==> mult( rd( X, Y ), Y ) }.
% 0.76/1.23 (192) {G12,W15,D5,L1,V3,M1} P(177,35);d(35);d(83) { ld( rd( X, Z ), mult(
% 0.76/1.23 rd( X, Z ), T ) ) ==> ld( X, mult( X, T ) ) }.
% 0.76/1.23 (196) {G13,W0,D0,L0,V0,M0} R(192,54) { }.
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 % SZS output end Refutation
% 0.76/1.23 found a proof!
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 Unprocessed initial clauses:
% 0.76/1.23
% 0.76/1.23 (198) {G0,W7,D4,L1,V1,M1} { ld( X, mult( X, X ) ) = X }.
% 0.76/1.23 (199) {G0,W7,D4,L1,V1,M1} { rd( mult( X, X ), X ) = X }.
% 0.76/1.23 (200) {G0,W11,D4,L1,V2,M1} { mult( Y, ld( Y, X ) ) = ld( Y, mult( Y, X ) )
% 0.76/1.23 }.
% 0.76/1.23 (201) {G0,W11,D4,L1,V2,M1} { mult( rd( Y, X ), X ) = rd( mult( Y, X ), X )
% 0.76/1.23 }.
% 0.76/1.23 (202) {G0,W19,D5,L1,V4,M1} { ld( ld( T, Z ), mult( ld( T, Z ), mult( Y, X
% 0.76/1.23 ) ) ) = mult( ld( T, mult( T, Y ) ), X ) }.
% 0.76/1.23 (203) {G0,W19,D5,L1,V4,M1} { rd( mult( mult( T, Z ), rd( Y, X ) ), rd( Y,
% 0.76/1.23 X ) ) = mult( T, rd( mult( Z, X ), X ) ) }.
% 0.76/1.23 (204) {G0,W15,D5,L1,V2,M1} { ld( Y, mult( Y, ld( X, X ) ) ) = rd( mult( rd
% 0.76/1.23 ( Y, Y ), X ), X ) }.
% 0.76/1.23 (205) {G0,W30,D5,L2,V0,M2} { ! ld( ld( skol1, skol2 ), mult( ld( skol1,
% 0.76/1.23 skol2 ), skol3 ) ) = ld( skol1, mult( skol1, skol3 ) ), ! ld( rd( skol1,
% 0.76/1.23 skol2 ), mult( rd( skol1, skol2 ), skol3 ) ) = ld( skol1, mult( skol1,
% 0.76/1.23 skol3 ) ) }.
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 Total Proof:
% 0.76/1.23
% 0.76/1.23 subsumption: (0) {G0,W7,D4,L1,V1,M1} I { ld( X, mult( X, X ) ) ==> X }.
% 0.76/1.23 parent0: (198) {G0,W7,D4,L1,V1,M1} { ld( X, mult( X, X ) ) = X }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (1) {G0,W7,D4,L1,V1,M1} I { rd( mult( X, X ), X ) ==> X }.
% 0.76/1.23 parent0: (199) {G0,W7,D4,L1,V1,M1} { rd( mult( X, X ), X ) = X }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (2) {G0,W11,D4,L1,V2,M1} I { mult( Y, ld( Y, X ) ) ==> ld( Y,
% 0.76/1.23 mult( Y, X ) ) }.
% 0.76/1.23 parent0: (200) {G0,W11,D4,L1,V2,M1} { mult( Y, ld( Y, X ) ) = ld( Y, mult
% 0.76/1.23 ( Y, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (215) {G0,W11,D4,L1,V2,M1} { rd( mult( X, Y ), Y ) = mult( rd( X,
% 0.76/1.23 Y ), Y ) }.
% 0.76/1.23 parent0[0]: (201) {G0,W11,D4,L1,V2,M1} { mult( rd( Y, X ), X ) = rd( mult
% 0.76/1.23 ( Y, X ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (3) {G0,W11,D4,L1,V2,M1} I { rd( mult( Y, X ), X ) ==> mult(
% 0.76/1.23 rd( Y, X ), X ) }.
% 0.76/1.23 parent0: (215) {G0,W11,D4,L1,V2,M1} { rd( mult( X, Y ), Y ) = mult( rd( X
% 0.76/1.23 , Y ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (4) {G0,W19,D5,L1,V4,M1} I { ld( ld( T, Z ), mult( ld( T, Z )
% 0.76/1.23 , mult( Y, X ) ) ) ==> mult( ld( T, mult( T, Y ) ), X ) }.
% 0.76/1.23 parent0: (202) {G0,W19,D5,L1,V4,M1} { ld( ld( T, Z ), mult( ld( T, Z ),
% 0.76/1.23 mult( Y, X ) ) ) = mult( ld( T, mult( T, Y ) ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (244) {G1,W19,D5,L1,V4,M1} { rd( mult( mult( X, Y ), rd( Z, T ) )
% 0.76/1.23 , rd( Z, T ) ) = mult( X, mult( rd( Y, T ), T ) ) }.
% 0.76/1.23 parent0[0]: (3) {G0,W11,D4,L1,V2,M1} I { rd( mult( Y, X ), X ) ==> mult( rd
% 0.76/1.23 ( Y, X ), X ) }.
% 0.76/1.23 parent1[0; 14]: (203) {G0,W19,D5,L1,V4,M1} { rd( mult( mult( T, Z ), rd( Y
% 0.76/1.23 , X ) ), rd( Y, X ) ) = mult( T, rd( mult( Z, X ), X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := T
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := T
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 T := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (246) {G1,W19,D5,L1,V4,M1} { mult( rd( mult( X, Y ), rd( Z, T ) )
% 0.76/1.23 , rd( Z, T ) ) = mult( X, mult( rd( Y, T ), T ) ) }.
% 0.76/1.23 parent0[0]: (3) {G0,W11,D4,L1,V2,M1} I { rd( mult( Y, X ), X ) ==> mult( rd
% 0.76/1.23 ( Y, X ), X ) }.
% 0.76/1.23 parent1[0; 1]: (244) {G1,W19,D5,L1,V4,M1} { rd( mult( mult( X, Y ), rd( Z
% 0.76/1.23 , T ) ), rd( Z, T ) ) = mult( X, mult( rd( Y, T ), T ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := rd( Z, T )
% 0.76/1.23 Y := mult( X, Y )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (5) {G1,W19,D5,L1,V4,M1} I;d(3);d(3) { mult( rd( mult( T, Z )
% 0.76/1.23 , rd( Y, X ) ), rd( Y, X ) ) ==> mult( T, mult( rd( Z, X ), X ) ) }.
% 0.76/1.23 parent0: (246) {G1,W19,D5,L1,V4,M1} { mult( rd( mult( X, Y ), rd( Z, T ) )
% 0.76/1.23 , rd( Z, T ) ) = mult( X, mult( rd( Y, T ), T ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := T
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 T := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 *** allocated 50625 integers for clauses
% 0.76/1.23 paramod: (280) {G1,W15,D5,L1,V2,M1} { ld( X, mult( X, ld( Y, Y ) ) ) =
% 0.76/1.23 mult( rd( rd( X, X ), Y ), Y ) }.
% 0.76/1.23 parent0[0]: (3) {G0,W11,D4,L1,V2,M1} I { rd( mult( Y, X ), X ) ==> mult( rd
% 0.76/1.23 ( Y, X ), X ) }.
% 0.76/1.23 parent1[0; 8]: (204) {G0,W15,D5,L1,V2,M1} { ld( Y, mult( Y, ld( X, X ) ) )
% 0.76/1.23 = rd( mult( rd( Y, Y ), X ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := rd( X, X )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (281) {G1,W15,D5,L1,V2,M1} { mult( rd( rd( X, X ), Y ), Y ) = ld(
% 0.76/1.23 X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 parent0[0]: (280) {G1,W15,D5,L1,V2,M1} { ld( X, mult( X, ld( Y, Y ) ) ) =
% 0.76/1.23 mult( rd( rd( X, X ), Y ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (6) {G1,W15,D5,L1,V2,M1} I;d(3) { mult( rd( rd( Y, Y ), X ), X
% 0.76/1.23 ) ==> ld( Y, mult( Y, ld( X, X ) ) ) }.
% 0.76/1.23 parent0: (281) {G1,W15,D5,L1,V2,M1} { mult( rd( rd( X, X ), Y ), Y ) = ld
% 0.76/1.23 ( X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (7) {G0,W30,D5,L2,V0,M2} I { ! ld( ld( skol1, skol2 ), mult(
% 0.76/1.23 ld( skol1, skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1, skol3 ) ), ! ld
% 0.76/1.23 ( rd( skol1, skol2 ), mult( rd( skol1, skol2 ), skol3 ) ) ==> ld( skol1,
% 0.76/1.23 mult( skol1, skol3 ) ) }.
% 0.76/1.23 parent0: (205) {G0,W30,D5,L2,V0,M2} { ! ld( ld( skol1, skol2 ), mult( ld(
% 0.76/1.23 skol1, skol2 ), skol3 ) ) = ld( skol1, mult( skol1, skol3 ) ), ! ld( rd(
% 0.76/1.23 skol1, skol2 ), mult( rd( skol1, skol2 ), skol3 ) ) = ld( skol1, mult(
% 0.76/1.23 skol1, skol3 ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 1 ==> 1
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (294) {G1,W7,D4,L1,V1,M1} { mult( rd( X, X ), X ) ==> X }.
% 0.76/1.23 parent0[0]: (3) {G0,W11,D4,L1,V2,M1} I { rd( mult( Y, X ), X ) ==> mult( rd
% 0.76/1.23 ( Y, X ), X ) }.
% 0.76/1.23 parent1[0; 1]: (1) {G0,W7,D4,L1,V1,M1} I { rd( mult( X, X ), X ) ==> X }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (8) {G1,W7,D4,L1,V1,M1} S(1);d(3) { mult( rd( X, X ), X ) ==>
% 0.76/1.23 X }.
% 0.76/1.23 parent0: (294) {G1,W7,D4,L1,V1,M1} { mult( rd( X, X ), X ) ==> X }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (297) {G0,W11,D4,L1,V2,M1} { mult( rd( X, Y ), Y ) ==> rd( mult( X
% 0.76/1.23 , Y ), Y ) }.
% 0.76/1.23 parent0[0]: (3) {G0,W11,D4,L1,V2,M1} I { rd( mult( Y, X ), X ) ==> mult( rd
% 0.76/1.23 ( Y, X ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (302) {G1,W11,D5,L1,V1,M1} { mult( rd( rd( X, X ), X ), X ) ==>
% 0.76/1.23 rd( X, X ) }.
% 0.76/1.23 parent0[0]: (8) {G1,W7,D4,L1,V1,M1} S(1);d(3) { mult( rd( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 parent1[0; 9]: (297) {G0,W11,D4,L1,V2,M1} { mult( rd( X, Y ), Y ) ==> rd(
% 0.76/1.23 mult( X, Y ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := rd( X, X )
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (303) {G2,W11,D5,L1,V1,M1} { ld( X, mult( X, ld( X, X ) ) ) ==>
% 0.76/1.23 rd( X, X ) }.
% 0.76/1.23 parent0[0]: (6) {G1,W15,D5,L1,V2,M1} I;d(3) { mult( rd( rd( Y, Y ), X ), X
% 0.76/1.23 ) ==> ld( Y, mult( Y, ld( X, X ) ) ) }.
% 0.76/1.23 parent1[0; 1]: (302) {G1,W11,D5,L1,V1,M1} { mult( rd( rd( X, X ), X ), X )
% 0.76/1.23 ==> rd( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (304) {G1,W11,D5,L1,V1,M1} { ld( X, ld( X, mult( X, X ) ) ) ==>
% 0.76/1.23 rd( X, X ) }.
% 0.76/1.23 parent0[0]: (2) {G0,W11,D4,L1,V2,M1} I { mult( Y, ld( Y, X ) ) ==> ld( Y,
% 0.76/1.23 mult( Y, X ) ) }.
% 0.76/1.23 parent1[0; 3]: (303) {G2,W11,D5,L1,V1,M1} { ld( X, mult( X, ld( X, X ) ) )
% 0.76/1.23 ==> rd( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (305) {G1,W7,D3,L1,V1,M1} { ld( X, X ) ==> rd( X, X ) }.
% 0.76/1.23 parent0[0]: (0) {G0,W7,D4,L1,V1,M1} I { ld( X, mult( X, X ) ) ==> X }.
% 0.76/1.23 parent1[0; 3]: (304) {G1,W11,D5,L1,V1,M1} { ld( X, ld( X, mult( X, X ) ) )
% 0.76/1.23 ==> rd( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (306) {G1,W7,D3,L1,V1,M1} { rd( X, X ) ==> ld( X, X ) }.
% 0.76/1.23 parent0[0]: (305) {G1,W7,D3,L1,V1,M1} { ld( X, X ) ==> rd( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (9) {G2,W7,D3,L1,V1,M1} P(8,3);d(6);d(2);d(0) { rd( X, X ) ==>
% 0.76/1.23 ld( X, X ) }.
% 0.76/1.23 parent0: (306) {G1,W7,D3,L1,V1,M1} { rd( X, X ) ==> ld( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (308) {G1,W7,D4,L1,V1,M1} { X ==> mult( rd( X, X ), X ) }.
% 0.76/1.23 parent0[0]: (8) {G1,W7,D4,L1,V1,M1} S(1);d(3) { mult( rd( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (309) {G2,W7,D4,L1,V1,M1} { X ==> mult( ld( X, X ), X ) }.
% 0.76/1.23 parent0[0]: (9) {G2,W7,D3,L1,V1,M1} P(8,3);d(6);d(2);d(0) { rd( X, X ) ==>
% 0.76/1.23 ld( X, X ) }.
% 0.76/1.23 parent1[0; 3]: (308) {G1,W7,D4,L1,V1,M1} { X ==> mult( rd( X, X ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (310) {G2,W7,D4,L1,V1,M1} { mult( ld( X, X ), X ) ==> X }.
% 0.76/1.23 parent0[0]: (309) {G2,W7,D4,L1,V1,M1} { X ==> mult( ld( X, X ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (10) {G3,W7,D4,L1,V1,M1} P(9,8) { mult( ld( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 parent0: (310) {G2,W7,D4,L1,V1,M1} { mult( ld( X, X ), X ) ==> X }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (312) {G0,W11,D4,L1,V2,M1} { mult( rd( X, Y ), Y ) ==> rd( mult( X
% 0.76/1.23 , Y ), Y ) }.
% 0.76/1.23 parent0[0]: (3) {G0,W11,D4,L1,V2,M1} I { rd( mult( Y, X ), X ) ==> mult( rd
% 0.76/1.23 ( Y, X ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (313) {G1,W19,D5,L1,V2,M1} { mult( rd( X, ld( X, Y ) ), ld( X, Y
% 0.76/1.23 ) ) ==> rd( ld( X, mult( X, Y ) ), ld( X, Y ) ) }.
% 0.76/1.23 parent0[0]: (2) {G0,W11,D4,L1,V2,M1} I { mult( Y, ld( Y, X ) ) ==> ld( Y,
% 0.76/1.23 mult( Y, X ) ) }.
% 0.76/1.23 parent1[0; 11]: (312) {G0,W11,D4,L1,V2,M1} { mult( rd( X, Y ), Y ) ==> rd
% 0.76/1.23 ( mult( X, Y ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := ld( X, Y )
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (314) {G1,W19,D5,L1,V2,M1} { rd( ld( X, mult( X, Y ) ), ld( X, Y )
% 0.76/1.23 ) ==> mult( rd( X, ld( X, Y ) ), ld( X, Y ) ) }.
% 0.76/1.23 parent0[0]: (313) {G1,W19,D5,L1,V2,M1} { mult( rd( X, ld( X, Y ) ), ld( X
% 0.76/1.23 , Y ) ) ==> rd( ld( X, mult( X, Y ) ), ld( X, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (11) {G1,W19,D5,L1,V2,M1} P(2,3) { rd( ld( X, mult( X, Y ) ),
% 0.76/1.23 ld( X, Y ) ) ==> mult( rd( X, ld( X, Y ) ), ld( X, Y ) ) }.
% 0.76/1.23 parent0: (314) {G1,W19,D5,L1,V2,M1} { rd( ld( X, mult( X, Y ) ), ld( X, Y
% 0.76/1.23 ) ) ==> mult( rd( X, ld( X, Y ) ), ld( X, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (316) {G0,W11,D4,L1,V2,M1} { mult( rd( X, Y ), Y ) ==> rd( mult( X
% 0.76/1.23 , Y ), Y ) }.
% 0.76/1.23 parent0[0]: (3) {G0,W11,D4,L1,V2,M1} I { rd( mult( Y, X ), X ) ==> mult( rd
% 0.76/1.23 ( Y, X ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (318) {G1,W11,D5,L1,V1,M1} { mult( rd( ld( X, X ), X ), X ) ==>
% 0.76/1.23 rd( X, X ) }.
% 0.76/1.23 parent0[0]: (10) {G3,W7,D4,L1,V1,M1} P(9,8) { mult( ld( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 parent1[0; 9]: (316) {G0,W11,D4,L1,V2,M1} { mult( rd( X, Y ), Y ) ==> rd(
% 0.76/1.23 mult( X, Y ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := ld( X, X )
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (319) {G2,W11,D5,L1,V1,M1} { mult( rd( ld( X, X ), X ), X ) ==>
% 0.76/1.23 ld( X, X ) }.
% 0.76/1.23 parent0[0]: (9) {G2,W7,D3,L1,V1,M1} P(8,3);d(6);d(2);d(0) { rd( X, X ) ==>
% 0.76/1.23 ld( X, X ) }.
% 0.76/1.23 parent1[0; 8]: (318) {G1,W11,D5,L1,V1,M1} { mult( rd( ld( X, X ), X ), X )
% 0.76/1.23 ==> rd( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (13) {G4,W11,D5,L1,V1,M1} P(10,3);d(9) { mult( rd( ld( X, X )
% 0.76/1.23 , X ), X ) ==> ld( X, X ) }.
% 0.76/1.23 parent0: (319) {G2,W11,D5,L1,V1,M1} { mult( rd( ld( X, X ), X ), X ) ==>
% 0.76/1.23 ld( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (323) {G2,W15,D5,L1,V2,M1} { mult( rd( ld( X, X ), Y ), Y ) ==>
% 0.76/1.23 ld( X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 parent0[0]: (9) {G2,W7,D3,L1,V1,M1} P(8,3);d(6);d(2);d(0) { rd( X, X ) ==>
% 0.76/1.23 ld( X, X ) }.
% 0.76/1.23 parent1[0; 3]: (6) {G1,W15,D5,L1,V2,M1} I;d(3) { mult( rd( rd( Y, Y ), X )
% 0.76/1.23 , X ) ==> ld( Y, mult( Y, ld( X, X ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (16) {G3,W15,D5,L1,V2,M1} S(6);d(9) { mult( rd( ld( Y, Y ), X
% 0.76/1.23 ), X ) ==> ld( Y, mult( Y, ld( X, X ) ) ) }.
% 0.76/1.23 parent0: (323) {G2,W15,D5,L1,V2,M1} { mult( rd( ld( X, X ), Y ), Y ) ==>
% 0.76/1.23 ld( X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (326) {G0,W19,D5,L1,V4,M1} { mult( ld( X, mult( X, Z ) ), T ) ==>
% 0.76/1.23 ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ) }.
% 0.76/1.23 parent0[0]: (4) {G0,W19,D5,L1,V4,M1} I { ld( ld( T, Z ), mult( ld( T, Z ),
% 0.76/1.23 mult( Y, X ) ) ) ==> mult( ld( T, mult( T, Y ) ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := T
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 T := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (329) {G1,W19,D5,L1,V3,M1} { mult( ld( X, mult( X, Y ) ), Z ) ==>
% 0.76/1.23 ld( ld( X, mult( X, X ) ), mult( X, mult( Y, Z ) ) ) }.
% 0.76/1.23 parent0[0]: (0) {G0,W7,D4,L1,V1,M1} I { ld( X, mult( X, X ) ) ==> X }.
% 0.76/1.23 parent1[0; 15]: (326) {G0,W19,D5,L1,V4,M1} { mult( ld( X, mult( X, Z ) ),
% 0.76/1.23 T ) ==> ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := mult( X, X )
% 0.76/1.23 Z := Y
% 0.76/1.23 T := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (330) {G1,W15,D5,L1,V3,M1} { mult( ld( X, mult( X, Y ) ), Z ) ==>
% 0.76/1.23 ld( X, mult( X, mult( Y, Z ) ) ) }.
% 0.76/1.23 parent0[0]: (0) {G0,W7,D4,L1,V1,M1} I { ld( X, mult( X, X ) ) ==> X }.
% 0.76/1.23 parent1[0; 9]: (329) {G1,W19,D5,L1,V3,M1} { mult( ld( X, mult( X, Y ) ), Z
% 0.76/1.23 ) ==> ld( ld( X, mult( X, X ) ), mult( X, mult( Y, Z ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (23) {G1,W15,D5,L1,V3,M1} P(0,4) { mult( ld( X, mult( X, Y ) )
% 0.76/1.23 , Z ) ==> ld( X, mult( X, mult( Y, Z ) ) ) }.
% 0.76/1.23 parent0: (330) {G1,W15,D5,L1,V3,M1} { mult( ld( X, mult( X, Y ) ), Z ) ==>
% 0.76/1.23 ld( X, mult( X, mult( Y, Z ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (336) {G0,W19,D5,L1,V4,M1} { mult( ld( X, mult( X, Z ) ), T ) ==>
% 0.76/1.23 ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ) }.
% 0.76/1.23 parent0[0]: (4) {G0,W19,D5,L1,V4,M1} I { ld( ld( T, Z ), mult( ld( T, Z ),
% 0.76/1.23 mult( Y, X ) ) ) ==> mult( ld( T, mult( T, Y ) ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := T
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 T := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (340) {G1,W19,D6,L1,V3,M1} { mult( ld( X, mult( X, rd( Y, Y ) ) )
% 0.76/1.23 , Y ) ==> ld( ld( X, Z ), mult( ld( X, Z ), Y ) ) }.
% 0.76/1.23 parent0[0]: (8) {G1,W7,D4,L1,V1,M1} S(1);d(3) { mult( rd( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 parent1[0; 18]: (336) {G0,W19,D5,L1,V4,M1} { mult( ld( X, mult( X, Z ) ),
% 0.76/1.23 T ) ==> ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := rd( Y, Y )
% 0.76/1.23 T := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (341) {G2,W19,D6,L1,V3,M1} { ld( X, mult( X, mult( rd( Y, Y ), Y
% 0.76/1.23 ) ) ) ==> ld( ld( X, Z ), mult( ld( X, Z ), Y ) ) }.
% 0.76/1.23 parent0[0]: (23) {G1,W15,D5,L1,V3,M1} P(0,4) { mult( ld( X, mult( X, Y ) )
% 0.76/1.23 , Z ) ==> ld( X, mult( X, mult( Y, Z ) ) ) }.
% 0.76/1.23 parent1[0; 1]: (340) {G1,W19,D6,L1,V3,M1} { mult( ld( X, mult( X, rd( Y, Y
% 0.76/1.23 ) ) ), Y ) ==> ld( ld( X, Z ), mult( ld( X, Z ), Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := rd( Y, Y )
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (342) {G2,W15,D5,L1,V3,M1} { ld( X, mult( X, Y ) ) ==> ld( ld( X
% 0.76/1.23 , Z ), mult( ld( X, Z ), Y ) ) }.
% 0.76/1.23 parent0[0]: (8) {G1,W7,D4,L1,V1,M1} S(1);d(3) { mult( rd( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 parent1[0; 5]: (341) {G2,W19,D6,L1,V3,M1} { ld( X, mult( X, mult( rd( Y, Y
% 0.76/1.23 ), Y ) ) ) ==> ld( ld( X, Z ), mult( ld( X, Z ), Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (343) {G2,W15,D5,L1,V3,M1} { ld( ld( X, Z ), mult( ld( X, Z ), Y )
% 0.76/1.23 ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 parent0[0]: (342) {G2,W15,D5,L1,V3,M1} { ld( X, mult( X, Y ) ) ==> ld( ld
% 0.76/1.23 ( X, Z ), mult( ld( X, Z ), Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ),
% 0.76/1.23 mult( ld( Y, Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 parent0: (343) {G2,W15,D5,L1,V3,M1} { ld( ld( X, Z ), mult( ld( X, Z ), Y
% 0.76/1.23 ) ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (345) {G1,W15,D5,L1,V3,M1} { ld( X, mult( X, mult( Y, Z ) ) ) ==>
% 0.76/1.23 mult( ld( X, mult( X, Y ) ), Z ) }.
% 0.76/1.23 parent0[0]: (23) {G1,W15,D5,L1,V3,M1} P(0,4) { mult( ld( X, mult( X, Y ) )
% 0.76/1.23 , Z ) ==> ld( X, mult( X, mult( Y, Z ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (349) {G1,W11,D5,L1,V2,M1} { ld( X, mult( X, mult( X, Y ) ) ) ==>
% 0.76/1.23 mult( X, Y ) }.
% 0.76/1.23 parent0[0]: (0) {G0,W7,D4,L1,V1,M1} I { ld( X, mult( X, X ) ) ==> X }.
% 0.76/1.23 parent1[0; 9]: (345) {G1,W15,D5,L1,V3,M1} { ld( X, mult( X, mult( Y, Z ) )
% 0.76/1.23 ) ==> mult( ld( X, mult( X, Y ) ), Z ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (30) {G2,W11,D5,L1,V2,M1} P(0,23) { ld( X, mult( X, mult( X, Y
% 0.76/1.23 ) ) ) ==> mult( X, Y ) }.
% 0.76/1.23 parent0: (349) {G1,W11,D5,L1,V2,M1} { ld( X, mult( X, mult( X, Y ) ) ) ==>
% 0.76/1.23 mult( X, Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (353) {G2,W11,D5,L1,V2,M1} { mult( X, Y ) ==> ld( X, mult( X, mult
% 0.76/1.23 ( X, Y ) ) ) }.
% 0.76/1.23 parent0[0]: (30) {G2,W11,D5,L1,V2,M1} P(0,23) { ld( X, mult( X, mult( X, Y
% 0.76/1.23 ) ) ) ==> mult( X, Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (355) {G3,W23,D6,L1,V1,M1} { mult( rd( ld( X, X ), X ), X ) ==>
% 0.76/1.23 ld( rd( ld( X, X ), X ), mult( rd( ld( X, X ), X ), ld( X, X ) ) ) }.
% 0.76/1.23 parent0[0]: (13) {G4,W11,D5,L1,V1,M1} P(10,3);d(9) { mult( rd( ld( X, X ),
% 0.76/1.23 X ), X ) ==> ld( X, X ) }.
% 0.76/1.23 parent1[0; 20]: (353) {G2,W11,D5,L1,V2,M1} { mult( X, Y ) ==> ld( X, mult
% 0.76/1.23 ( X, mult( X, Y ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := rd( ld( X, X ), X )
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (356) {G4,W19,D6,L1,V1,M1} { ld( X, X ) ==> ld( rd( ld( X, X ), X
% 0.76/1.23 ), mult( rd( ld( X, X ), X ), ld( X, X ) ) ) }.
% 0.76/1.23 parent0[0]: (13) {G4,W11,D5,L1,V1,M1} P(10,3);d(9) { mult( rd( ld( X, X ),
% 0.76/1.23 X ), X ) ==> ld( X, X ) }.
% 0.76/1.23 parent1[0; 1]: (355) {G3,W23,D6,L1,V1,M1} { mult( rd( ld( X, X ), X ), X )
% 0.76/1.23 ==> ld( rd( ld( X, X ), X ), mult( rd( ld( X, X ), X ), ld( X, X ) ) )
% 0.76/1.23 }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (358) {G4,W19,D6,L1,V1,M1} { ld( rd( ld( X, X ), X ), mult( rd( ld
% 0.76/1.23 ( X, X ), X ), ld( X, X ) ) ) ==> ld( X, X ) }.
% 0.76/1.23 parent0[0]: (356) {G4,W19,D6,L1,V1,M1} { ld( X, X ) ==> ld( rd( ld( X, X )
% 0.76/1.23 , X ), mult( rd( ld( X, X ), X ), ld( X, X ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (34) {G5,W19,D6,L1,V1,M1} P(13,30) { ld( rd( ld( X, X ), X ),
% 0.76/1.23 mult( rd( ld( X, X ), X ), ld( X, X ) ) ) ==> ld( X, X ) }.
% 0.76/1.23 parent0: (358) {G4,W19,D6,L1,V1,M1} { ld( rd( ld( X, X ), X ), mult( rd(
% 0.76/1.23 ld( X, X ), X ), ld( X, X ) ) ) ==> ld( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (361) {G2,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld( ld( X,
% 0.76/1.23 Y ), mult( ld( X, Y ), Z ) ) }.
% 0.76/1.23 parent0[0]: (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ),
% 0.76/1.23 mult( ld( Y, Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Z
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (367) {G3,W19,D6,L1,V3,M1} { ld( X, mult( X, Y ) ) ==> ld( ld( X
% 0.76/1.23 , mult( X, mult( X, Z ) ) ), mult( mult( X, Z ), Y ) ) }.
% 0.76/1.23 parent0[0]: (30) {G2,W11,D5,L1,V2,M1} P(0,23) { ld( X, mult( X, mult( X, Y
% 0.76/1.23 ) ) ) ==> mult( X, Y ) }.
% 0.76/1.23 parent1[0; 15]: (361) {G2,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld
% 0.76/1.23 ( ld( X, Y ), mult( ld( X, Y ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := mult( X, mult( X, Z ) )
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (368) {G3,W15,D5,L1,V3,M1} { ld( X, mult( X, Y ) ) ==> ld( mult(
% 0.76/1.23 X, Z ), mult( mult( X, Z ), Y ) ) }.
% 0.76/1.23 parent0[0]: (30) {G2,W11,D5,L1,V2,M1} P(0,23) { ld( X, mult( X, mult( X, Y
% 0.76/1.23 ) ) ) ==> mult( X, Y ) }.
% 0.76/1.23 parent1[0; 7]: (367) {G3,W19,D6,L1,V3,M1} { ld( X, mult( X, Y ) ) ==> ld(
% 0.76/1.23 ld( X, mult( X, mult( X, Z ) ) ), mult( mult( X, Z ), Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (372) {G3,W15,D5,L1,V3,M1} { ld( mult( X, Z ), mult( mult( X, Z )
% 0.76/1.23 , Y ) ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 parent0[0]: (368) {G3,W15,D5,L1,V3,M1} { ld( X, mult( X, Y ) ) ==> ld(
% 0.76/1.23 mult( X, Z ), mult( mult( X, Z ), Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (35) {G3,W15,D5,L1,V3,M1} P(30,24) { ld( mult( X, Y ), mult(
% 0.76/1.23 mult( X, Y ), Z ) ) ==> ld( X, mult( X, Z ) ) }.
% 0.76/1.23 parent0: (372) {G3,W15,D5,L1,V3,M1} { ld( mult( X, Z ), mult( mult( X, Z )
% 0.76/1.23 , Y ) ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (375) {G0,W11,D4,L1,V2,M1} { ld( X, mult( X, Y ) ) ==> mult( X, ld
% 0.76/1.23 ( X, Y ) ) }.
% 0.76/1.23 parent0[0]: (2) {G0,W11,D4,L1,V2,M1} I { mult( Y, ld( Y, X ) ) ==> ld( Y,
% 0.76/1.23 mult( Y, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (380) {G1,W23,D6,L1,V3,M1} { ld( ld( X, Y ), mult( ld( X, Y ),
% 0.76/1.23 mult( ld( X, Y ), Z ) ) ) ==> mult( ld( X, Y ), ld( X, mult( X, Z ) ) )
% 0.76/1.23 }.
% 0.76/1.23 parent0[0]: (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ),
% 0.76/1.23 mult( ld( Y, Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 parent1[0; 18]: (375) {G0,W11,D4,L1,V2,M1} { ld( X, mult( X, Y ) ) ==>
% 0.76/1.23 mult( X, ld( X, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Z
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := ld( X, Y )
% 0.76/1.23 Y := mult( ld( X, Y ), Z )
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (382) {G2,W15,D5,L1,V3,M1} { mult( ld( X, Y ), Z ) ==> mult( ld(
% 0.76/1.23 X, Y ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 parent0[0]: (30) {G2,W11,D5,L1,V2,M1} P(0,23) { ld( X, mult( X, mult( X, Y
% 0.76/1.23 ) ) ) ==> mult( X, Y ) }.
% 0.76/1.23 parent1[0; 1]: (380) {G1,W23,D6,L1,V3,M1} { ld( ld( X, Y ), mult( ld( X, Y
% 0.76/1.23 ), mult( ld( X, Y ), Z ) ) ) ==> mult( ld( X, Y ), ld( X, mult( X, Z ) )
% 0.76/1.23 ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := ld( X, Y )
% 0.76/1.23 Y := Z
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (383) {G2,W15,D5,L1,V3,M1} { mult( ld( X, Y ), ld( X, mult( X, Z )
% 0.76/1.23 ) ) ==> mult( ld( X, Y ), Z ) }.
% 0.76/1.23 parent0[0]: (382) {G2,W15,D5,L1,V3,M1} { mult( ld( X, Y ), Z ) ==> mult(
% 0.76/1.23 ld( X, Y ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (38) {G3,W15,D5,L1,V3,M1} P(24,2);d(30) { mult( ld( X, Y ), ld
% 0.76/1.23 ( X, mult( X, Z ) ) ) ==> mult( ld( X, Y ), Z ) }.
% 0.76/1.23 parent0: (383) {G2,W15,D5,L1,V3,M1} { mult( ld( X, Y ), ld( X, mult( X, Z
% 0.76/1.23 ) ) ) ==> mult( ld( X, Y ), Z ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (385) {G2,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld( ld( X,
% 0.76/1.23 Y ), mult( ld( X, Y ), Z ) ) }.
% 0.76/1.23 parent0[0]: (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ),
% 0.76/1.23 mult( ld( Y, Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Z
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (393) {G1,W23,D6,L1,V3,M1} { ld( X, mult( X, ld( ld( X, Y ), Z )
% 0.76/1.23 ) ) ==> ld( ld( X, Y ), ld( ld( X, Y ), mult( ld( X, Y ), Z ) ) ) }.
% 0.76/1.23 parent0[0]: (2) {G0,W11,D4,L1,V2,M1} I { mult( Y, ld( Y, X ) ) ==> ld( Y,
% 0.76/1.23 mult( Y, X ) ) }.
% 0.76/1.23 parent1[0; 14]: (385) {G2,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld
% 0.76/1.23 ( ld( X, Y ), mult( ld( X, Y ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Z
% 0.76/1.23 Y := ld( X, Y )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := ld( ld( X, Y ), Z )
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (394) {G2,W19,D6,L1,V3,M1} { ld( X, mult( X, ld( ld( X, Y ), Z )
% 0.76/1.23 ) ) ==> ld( ld( X, Y ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 parent0[0]: (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ),
% 0.76/1.23 mult( ld( Y, Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 parent1[0; 14]: (393) {G1,W23,D6,L1,V3,M1} { ld( X, mult( X, ld( ld( X, Y
% 0.76/1.23 ), Z ) ) ) ==> ld( ld( X, Y ), ld( ld( X, Y ), mult( ld( X, Y ), Z ) ) )
% 0.76/1.23 }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Z
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (39) {G3,W19,D6,L1,V3,M1} P(2,24);d(24) { ld( X, mult( X, ld(
% 0.76/1.23 ld( X, Y ), Z ) ) ) ==> ld( ld( X, Y ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 parent0: (394) {G2,W19,D6,L1,V3,M1} { ld( X, mult( X, ld( ld( X, Y ), Z )
% 0.76/1.23 ) ) ==> ld( ld( X, Y ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (396) {G2,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld( ld( X,
% 0.76/1.23 Y ), mult( ld( X, Y ), Z ) ) }.
% 0.76/1.23 parent0[0]: (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ),
% 0.76/1.23 mult( ld( Y, Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Z
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (400) {G1,W11,D5,L1,V2,M1} { ld( X, mult( X, ld( X, Y ) ) ) ==>
% 0.76/1.23 ld( X, Y ) }.
% 0.76/1.23 parent0[0]: (0) {G0,W7,D4,L1,V1,M1} I { ld( X, mult( X, X ) ) ==> X }.
% 0.76/1.23 parent1[0; 8]: (396) {G2,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld(
% 0.76/1.23 ld( X, Y ), mult( ld( X, Y ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := ld( X, Y )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := ld( X, Y )
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (404) {G1,W11,D5,L1,V2,M1} { ld( X, ld( X, mult( X, Y ) ) ) ==>
% 0.76/1.23 ld( X, Y ) }.
% 0.76/1.23 parent0[0]: (2) {G0,W11,D4,L1,V2,M1} I { mult( Y, ld( Y, X ) ) ==> ld( Y,
% 0.76/1.23 mult( Y, X ) ) }.
% 0.76/1.23 parent1[0; 3]: (400) {G1,W11,D5,L1,V2,M1} { ld( X, mult( X, ld( X, Y ) ) )
% 0.76/1.23 ==> ld( X, Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (40) {G3,W11,D5,L1,V2,M1} P(24,0);d(2) { ld( X, ld( X, mult( X
% 0.76/1.23 , Y ) ) ) ==> ld( X, Y ) }.
% 0.76/1.23 parent0: (404) {G1,W11,D5,L1,V2,M1} { ld( X, ld( X, mult( X, Y ) ) ) ==>
% 0.76/1.23 ld( X, Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (407) {G1,W19,D5,L1,V4,M1} { mult( X, mult( rd( Y, T ), T ) ) ==>
% 0.76/1.23 mult( rd( mult( X, Y ), rd( Z, T ) ), rd( Z, T ) ) }.
% 0.76/1.23 parent0[0]: (5) {G1,W19,D5,L1,V4,M1} I;d(3);d(3) { mult( rd( mult( T, Z ),
% 0.76/1.23 rd( Y, X ) ), rd( Y, X ) ) ==> mult( T, mult( rd( Z, X ), X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := T
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 T := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (409) {G2,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X, Y ),
% 0.76/1.23 Y ) ) ==> mult( rd( X, rd( Z, Y ) ), rd( Z, Y ) ) }.
% 0.76/1.23 parent0[0]: (10) {G3,W7,D4,L1,V1,M1} P(9,8) { mult( ld( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 parent1[0; 12]: (407) {G1,W19,D5,L1,V4,M1} { mult( X, mult( rd( Y, T ), T
% 0.76/1.23 ) ) ==> mult( rd( mult( X, Y ), rd( Z, T ) ), rd( Z, T ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := ld( X, X )
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Z
% 0.76/1.23 T := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (411) {G2,W19,D5,L1,V3,M1} { mult( rd( X, rd( Z, Y ) ), rd( Z, Y )
% 0.76/1.23 ) ==> mult( ld( X, X ), mult( rd( X, Y ), Y ) ) }.
% 0.76/1.23 parent0[0]: (409) {G2,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X, Y
% 0.76/1.23 ), Y ) ) ==> mult( rd( X, rd( Z, Y ) ), rd( Z, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (41) {G4,W19,D5,L1,V3,M1} P(10,5) { mult( rd( X, rd( Y, Z ) )
% 0.76/1.23 , rd( Y, Z ) ) = mult( ld( X, X ), mult( rd( X, Z ), Z ) ) }.
% 0.76/1.23 parent0: (411) {G2,W19,D5,L1,V3,M1} { mult( rd( X, rd( Z, Y ) ), rd( Z, Y
% 0.76/1.23 ) ) ==> mult( ld( X, X ), mult( rd( X, Y ), Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (413) {G3,W11,D5,L1,V2,M1} { ld( X, Y ) ==> ld( X, ld( X, mult( X
% 0.76/1.23 , Y ) ) ) }.
% 0.76/1.23 parent0[0]: (40) {G3,W11,D5,L1,V2,M1} P(24,0);d(2) { ld( X, ld( X, mult( X
% 0.76/1.23 , Y ) ) ) ==> ld( X, Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (421) {G3,W15,D5,L1,V3,M1} { ld( ld( X, Y ), Z ) ==> ld( ld( X, Y
% 0.76/1.23 ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 parent0[0]: (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ),
% 0.76/1.23 mult( ld( Y, Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 parent1[0; 10]: (413) {G3,W11,D5,L1,V2,M1} { ld( X, Y ) ==> ld( X, ld( X,
% 0.76/1.23 mult( X, Y ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Z
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := ld( X, Y )
% 0.76/1.23 Y := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (425) {G3,W15,D5,L1,V3,M1} { ld( ld( X, Y ), ld( X, mult( X, Z ) )
% 0.76/1.23 ) ==> ld( ld( X, Y ), Z ) }.
% 0.76/1.23 parent0[0]: (421) {G3,W15,D5,L1,V3,M1} { ld( ld( X, Y ), Z ) ==> ld( ld( X
% 0.76/1.23 , Y ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (43) {G4,W15,D5,L1,V3,M1} P(24,40) { ld( ld( X, Y ), ld( X,
% 0.76/1.23 mult( X, Z ) ) ) ==> ld( ld( X, Y ), Z ) }.
% 0.76/1.23 parent0: (425) {G3,W15,D5,L1,V3,M1} { ld( ld( X, Y ), ld( X, mult( X, Z )
% 0.76/1.23 ) ) ==> ld( ld( X, Y ), Z ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (430) {G1,W26,D5,L2,V0,M2} { ! ld( skol1, mult( skol1, skol3 ) )
% 0.76/1.23 ==> ld( skol1, mult( skol1, skol3 ) ), ! ld( rd( skol1, skol2 ), mult( rd
% 0.76/1.23 ( skol1, skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1, skol3 ) ) }.
% 0.76/1.23 parent0[0]: (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ),
% 0.76/1.23 mult( ld( Y, Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 parent1[0; 2]: (7) {G0,W30,D5,L2,V0,M2} I { ! ld( ld( skol1, skol2 ), mult
% 0.76/1.23 ( ld( skol1, skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1, skol3 ) ), !
% 0.76/1.23 ld( rd( skol1, skol2 ), mult( rd( skol1, skol2 ), skol3 ) ) ==> ld( skol1
% 0.76/1.23 , mult( skol1, skol3 ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := skol3
% 0.76/1.23 Y := skol1
% 0.76/1.23 Z := skol2
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqrefl: (431) {G0,W15,D5,L1,V0,M1} { ! ld( rd( skol1, skol2 ), mult( rd(
% 0.76/1.23 skol1, skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1, skol3 ) ) }.
% 0.76/1.23 parent0[0]: (430) {G1,W26,D5,L2,V0,M2} { ! ld( skol1, mult( skol1, skol3 )
% 0.76/1.23 ) ==> ld( skol1, mult( skol1, skol3 ) ), ! ld( rd( skol1, skol2 ), mult
% 0.76/1.23 ( rd( skol1, skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1, skol3 ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (54) {G3,W15,D5,L1,V0,M1} S(7);d(24);q { ! ld( rd( skol1,
% 0.76/1.23 skol2 ), mult( rd( skol1, skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1,
% 0.76/1.23 skol3 ) ) }.
% 0.76/1.23 parent0: (431) {G0,W15,D5,L1,V0,M1} { ! ld( rd( skol1, skol2 ), mult( rd(
% 0.76/1.23 skol1, skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1, skol3 ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (433) {G3,W15,D5,L1,V3,M1} { mult( ld( X, Y ), Z ) ==> mult( ld( X
% 0.76/1.23 , Y ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 parent0[0]: (38) {G3,W15,D5,L1,V3,M1} P(24,2);d(30) { mult( ld( X, Y ), ld
% 0.76/1.23 ( X, mult( X, Z ) ) ) ==> mult( ld( X, Y ), Z ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (438) {G4,W27,D6,L1,V4,M1} { mult( ld( ld( X, Y ), Z ), ld( X,
% 0.76/1.23 mult( X, T ) ) ) ==> mult( ld( ld( X, Y ), Z ), ld( ld( X, Y ), mult( ld
% 0.76/1.23 ( X, Y ), T ) ) ) }.
% 0.76/1.23 parent0[0]: (38) {G3,W15,D5,L1,V3,M1} P(24,2);d(30) { mult( ld( X, Y ), ld
% 0.76/1.23 ( X, mult( X, Z ) ) ) ==> mult( ld( X, Y ), Z ) }.
% 0.76/1.23 parent1[0; 22]: (433) {G3,W15,D5,L1,V3,M1} { mult( ld( X, Y ), Z ) ==>
% 0.76/1.23 mult( ld( X, Y ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := T
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := ld( X, Y )
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := ld( X, mult( X, T ) )
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (441) {G4,W19,D5,L1,V4,M1} { mult( ld( ld( X, Y ), Z ), ld( X,
% 0.76/1.23 mult( X, T ) ) ) ==> mult( ld( ld( X, Y ), Z ), T ) }.
% 0.76/1.23 parent0[0]: (38) {G3,W15,D5,L1,V3,M1} P(24,2);d(30) { mult( ld( X, Y ), ld
% 0.76/1.23 ( X, mult( X, Z ) ) ) ==> mult( ld( X, Y ), Z ) }.
% 0.76/1.23 parent1[0; 12]: (438) {G4,W27,D6,L1,V4,M1} { mult( ld( ld( X, Y ), Z ), ld
% 0.76/1.23 ( X, mult( X, T ) ) ) ==> mult( ld( ld( X, Y ), Z ), ld( ld( X, Y ), mult
% 0.76/1.23 ( ld( X, Y ), T ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := ld( X, Y )
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := T
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (57) {G4,W19,D5,L1,V4,M1} P(38,38);d(38) { mult( ld( ld( X, Y
% 0.76/1.23 ), T ), ld( X, mult( X, Z ) ) ) ==> mult( ld( ld( X, Y ), T ), Z ) }.
% 0.76/1.23 parent0: (441) {G4,W19,D5,L1,V4,M1} { mult( ld( ld( X, Y ), Z ), ld( X,
% 0.76/1.23 mult( X, T ) ) ) ==> mult( ld( ld( X, Y ), Z ), T ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := T
% 0.76/1.23 T := Z
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (444) {G3,W15,D5,L1,V2,M1} { ld( X, mult( X, ld( Y, Y ) ) ) ==>
% 0.76/1.23 mult( rd( ld( X, X ), Y ), Y ) }.
% 0.76/1.23 parent0[0]: (16) {G3,W15,D5,L1,V2,M1} S(6);d(9) { mult( rd( ld( Y, Y ), X )
% 0.76/1.23 , X ) ==> ld( Y, mult( Y, ld( X, X ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (448) {G4,W27,D7,L1,V3,M1} { ld( ld( X, mult( X, Y ) ), mult( ld
% 0.76/1.23 ( X, mult( X, Y ) ), ld( Z, Z ) ) ) ==> mult( rd( ld( ld( X, mult( X, Y )
% 0.76/1.23 ), Y ), Z ), Z ) }.
% 0.76/1.23 parent0[0]: (43) {G4,W15,D5,L1,V3,M1} P(24,40) { ld( ld( X, Y ), ld( X,
% 0.76/1.23 mult( X, Z ) ) ) ==> ld( ld( X, Y ), Z ) }.
% 0.76/1.23 parent1[0; 18]: (444) {G3,W15,D5,L1,V2,M1} { ld( X, mult( X, ld( Y, Y ) )
% 0.76/1.23 ) ==> mult( rd( ld( X, X ), Y ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := mult( X, Y )
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := ld( X, mult( X, Y ) )
% 0.76/1.23 Y := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (449) {G3,W19,D7,L1,V3,M1} { ld( X, mult( X, ld( Z, Z ) ) ) ==>
% 0.76/1.23 mult( rd( ld( ld( X, mult( X, Y ) ), Y ), Z ), Z ) }.
% 0.76/1.23 parent0[0]: (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ),
% 0.76/1.23 mult( ld( Y, Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 parent1[0; 1]: (448) {G4,W27,D7,L1,V3,M1} { ld( ld( X, mult( X, Y ) ),
% 0.76/1.23 mult( ld( X, mult( X, Y ) ), ld( Z, Z ) ) ) ==> mult( rd( ld( ld( X, mult
% 0.76/1.23 ( X, Y ) ), Y ), Z ), Z ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := ld( Z, Z )
% 0.76/1.23 Y := X
% 0.76/1.23 Z := mult( X, Y )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (450) {G3,W19,D7,L1,V3,M1} { mult( rd( ld( ld( X, mult( X, Z ) ),
% 0.76/1.23 Z ), Y ), Y ) ==> ld( X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 parent0[0]: (449) {G3,W19,D7,L1,V3,M1} { ld( X, mult( X, ld( Z, Z ) ) )
% 0.76/1.23 ==> mult( rd( ld( ld( X, mult( X, Y ) ), Y ), Z ), Z ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (61) {G5,W19,D7,L1,V3,M1} P(43,16);d(24) { mult( rd( ld( ld( X
% 0.76/1.23 , mult( X, Y ) ), Y ), Z ), Z ) ==> ld( X, mult( X, ld( Z, Z ) ) ) }.
% 0.76/1.23 parent0: (450) {G3,W19,D7,L1,V3,M1} { mult( rd( ld( ld( X, mult( X, Z ) )
% 0.76/1.23 , Z ), Y ), Y ) ==> ld( X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (452) {G3,W15,D5,L1,V2,M1} { ld( X, mult( X, ld( Y, Y ) ) ) ==>
% 0.76/1.23 mult( rd( ld( X, X ), Y ), Y ) }.
% 0.76/1.23 parent0[0]: (16) {G3,W15,D5,L1,V2,M1} S(6);d(9) { mult( rd( ld( Y, Y ), X )
% 0.76/1.23 , X ) ==> ld( Y, mult( Y, ld( X, X ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (456) {G3,W23,D6,L1,V1,M1} { ld( X, mult( X, ld( ld( X, X ), ld(
% 0.76/1.23 X, X ) ) ) ) ==> mult( ld( ld( X, X ), ld( X, X ) ), ld( X, X ) ) }.
% 0.76/1.23 parent0[0]: (9) {G2,W7,D3,L1,V1,M1} P(8,3);d(6);d(2);d(0) { rd( X, X ) ==>
% 0.76/1.23 ld( X, X ) }.
% 0.76/1.23 parent1[0; 13]: (452) {G3,W15,D5,L1,V2,M1} { ld( X, mult( X, ld( Y, Y ) )
% 0.76/1.23 ) ==> mult( rd( ld( X, X ), Y ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := ld( X, X )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := ld( X, X )
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (457) {G4,W15,D6,L1,V1,M1} { ld( X, mult( X, ld( ld( X, X ), ld(
% 0.76/1.23 X, X ) ) ) ) ==> ld( X, X ) }.
% 0.76/1.23 parent0[0]: (10) {G3,W7,D4,L1,V1,M1} P(9,8) { mult( ld( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 parent1[0; 12]: (456) {G3,W23,D6,L1,V1,M1} { ld( X, mult( X, ld( ld( X, X
% 0.76/1.23 ), ld( X, X ) ) ) ) ==> mult( ld( ld( X, X ), ld( X, X ) ), ld( X, X ) )
% 0.76/1.23 }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := ld( X, X )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (458) {G4,W15,D6,L1,V1,M1} { ld( ld( X, X ), ld( X, mult( X, ld(
% 0.76/1.23 X, X ) ) ) ) ==> ld( X, X ) }.
% 0.76/1.23 parent0[0]: (39) {G3,W19,D6,L1,V3,M1} P(2,24);d(24) { ld( X, mult( X, ld(
% 0.76/1.23 ld( X, Y ), Z ) ) ) ==> ld( ld( X, Y ), ld( X, mult( X, Z ) ) ) }.
% 0.76/1.23 parent1[0; 1]: (457) {G4,W15,D6,L1,V1,M1} { ld( X, mult( X, ld( ld( X, X )
% 0.76/1.23 , ld( X, X ) ) ) ) ==> ld( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := X
% 0.76/1.23 Z := ld( X, X )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (459) {G5,W11,D4,L1,V1,M1} { ld( ld( X, X ), ld( X, X ) ) ==> ld
% 0.76/1.23 ( X, X ) }.
% 0.76/1.23 parent0[0]: (43) {G4,W15,D5,L1,V3,M1} P(24,40) { ld( ld( X, Y ), ld( X,
% 0.76/1.23 mult( X, Z ) ) ) ==> ld( ld( X, Y ), Z ) }.
% 0.76/1.23 parent1[0; 1]: (458) {G4,W15,D6,L1,V1,M1} { ld( ld( X, X ), ld( X, mult( X
% 0.76/1.23 , ld( X, X ) ) ) ) ==> ld( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := X
% 0.76/1.23 Z := ld( X, X )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (62) {G5,W11,D4,L1,V1,M1} P(9,16);d(10);d(39);d(43) { ld( ld(
% 0.76/1.23 X, X ), ld( X, X ) ) ==> ld( X, X ) }.
% 0.76/1.23 parent0: (459) {G5,W11,D4,L1,V1,M1} { ld( ld( X, X ), ld( X, X ) ) ==> ld
% 0.76/1.23 ( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (462) {G1,W19,D5,L1,V2,M1} { mult( rd( X, ld( X, Y ) ), ld( X, Y )
% 0.76/1.23 ) ==> rd( ld( X, mult( X, Y ) ), ld( X, Y ) ) }.
% 0.76/1.23 parent0[0]: (11) {G1,W19,D5,L1,V2,M1} P(2,3) { rd( ld( X, mult( X, Y ) ),
% 0.76/1.23 ld( X, Y ) ) ==> mult( rd( X, ld( X, Y ) ), ld( X, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (466) {G1,W15,D5,L1,V1,M1} { mult( rd( X, ld( X, X ) ), ld( X, X
% 0.76/1.23 ) ) ==> rd( X, ld( X, X ) ) }.
% 0.76/1.23 parent0[0]: (0) {G0,W7,D4,L1,V1,M1} I { ld( X, mult( X, X ) ) ==> X }.
% 0.76/1.23 parent1[0; 11]: (462) {G1,W19,D5,L1,V2,M1} { mult( rd( X, ld( X, Y ) ), ld
% 0.76/1.23 ( X, Y ) ) ==> rd( ld( X, mult( X, Y ) ), ld( X, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (64) {G2,W15,D5,L1,V1,M1} P(0,11) { mult( rd( X, ld( X, X ) )
% 0.76/1.23 , ld( X, X ) ) ==> rd( X, ld( X, X ) ) }.
% 0.76/1.23 parent0: (466) {G1,W15,D5,L1,V1,M1} { mult( rd( X, ld( X, X ) ), ld( X, X
% 0.76/1.23 ) ) ==> rd( X, ld( X, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (479) {G4,W19,D5,L1,V4,M1} { mult( ld( ld( X, Y ), Z ), T ) ==>
% 0.76/1.23 mult( ld( ld( X, Y ), Z ), ld( X, mult( X, T ) ) ) }.
% 0.76/1.23 parent0[0]: (57) {G4,W19,D5,L1,V4,M1} P(38,38);d(38) { mult( ld( ld( X, Y )
% 0.76/1.23 , T ), ld( X, mult( X, Z ) ) ) ==> mult( ld( ld( X, Y ), T ), Z ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := T
% 0.76/1.23 T := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (483) {G4,W19,D6,L1,V2,M1} { mult( ld( ld( X, mult( X, Y ) ), ld
% 0.76/1.23 ( X, mult( X, Y ) ) ), Y ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 parent0[0]: (10) {G3,W7,D4,L1,V1,M1} P(9,8) { mult( ld( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 parent1[0; 14]: (479) {G4,W19,D5,L1,V4,M1} { mult( ld( ld( X, Y ), Z ), T
% 0.76/1.23 ) ==> mult( ld( ld( X, Y ), Z ), ld( X, mult( X, T ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := ld( X, mult( X, Y ) )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := mult( X, Y )
% 0.76/1.23 Z := ld( X, mult( X, Y ) )
% 0.76/1.23 T := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (485) {G5,W15,D6,L1,V2,M1} { mult( ld( ld( X, mult( X, Y ) ), Y )
% 0.76/1.23 , Y ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 parent0[0]: (43) {G4,W15,D5,L1,V3,M1} P(24,40) { ld( ld( X, Y ), ld( X,
% 0.76/1.23 mult( X, Z ) ) ) ==> ld( ld( X, Y ), Z ) }.
% 0.76/1.23 parent1[0; 2]: (483) {G4,W19,D6,L1,V2,M1} { mult( ld( ld( X, mult( X, Y )
% 0.76/1.23 ), ld( X, mult( X, Y ) ) ), Y ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := mult( X, Y )
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (74) {G5,W15,D6,L1,V2,M1} P(57,10);d(43) { mult( ld( ld( X,
% 0.76/1.23 mult( X, Y ) ), Y ), Y ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 parent0: (485) {G5,W15,D6,L1,V2,M1} { mult( ld( ld( X, mult( X, Y ) ), Y )
% 0.76/1.23 , Y ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (488) {G0,W11,D4,L1,V2,M1} { mult( rd( X, Y ), Y ) ==> rd( mult( X
% 0.76/1.23 , Y ), Y ) }.
% 0.76/1.23 parent0[0]: (3) {G0,W11,D4,L1,V2,M1} I { rd( mult( Y, X ), X ) ==> mult( rd
% 0.76/1.23 ( Y, X ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (490) {G1,W19,D7,L1,V2,M1} { mult( rd( ld( ld( X, mult( X, Y ) )
% 0.76/1.23 , Y ), Y ), Y ) ==> rd( ld( X, mult( X, Y ) ), Y ) }.
% 0.76/1.23 parent0[0]: (74) {G5,W15,D6,L1,V2,M1} P(57,10);d(43) { mult( ld( ld( X,
% 0.76/1.23 mult( X, Y ) ), Y ), Y ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 parent1[0; 13]: (488) {G0,W11,D4,L1,V2,M1} { mult( rd( X, Y ), Y ) ==> rd
% 0.76/1.23 ( mult( X, Y ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := ld( ld( X, mult( X, Y ) ), Y )
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (491) {G2,W15,D5,L1,V2,M1} { ld( X, mult( X, ld( Y, Y ) ) ) ==>
% 0.76/1.23 rd( ld( X, mult( X, Y ) ), Y ) }.
% 0.76/1.23 parent0[0]: (61) {G5,W19,D7,L1,V3,M1} P(43,16);d(24) { mult( rd( ld( ld( X
% 0.76/1.23 , mult( X, Y ) ), Y ), Z ), Z ) ==> ld( X, mult( X, ld( Z, Z ) ) ) }.
% 0.76/1.23 parent1[0; 1]: (490) {G1,W19,D7,L1,V2,M1} { mult( rd( ld( ld( X, mult( X,
% 0.76/1.23 Y ) ), Y ), Y ), Y ) ==> rd( ld( X, mult( X, Y ) ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (492) {G2,W15,D5,L1,V2,M1} { rd( ld( X, mult( X, Y ) ), Y ) ==> ld
% 0.76/1.23 ( X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 parent0[0]: (491) {G2,W15,D5,L1,V2,M1} { ld( X, mult( X, ld( Y, Y ) ) )
% 0.76/1.23 ==> rd( ld( X, mult( X, Y ) ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (76) {G6,W15,D5,L1,V2,M1} P(74,3);d(61) { rd( ld( X, mult( X,
% 0.76/1.23 Y ) ), Y ) ==> ld( X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 parent0: (492) {G2,W15,D5,L1,V2,M1} { rd( ld( X, mult( X, Y ) ), Y ) ==>
% 0.76/1.23 ld( X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (494) {G6,W15,D5,L1,V2,M1} { ld( X, mult( X, ld( Y, Y ) ) ) ==> rd
% 0.76/1.23 ( ld( X, mult( X, Y ) ), Y ) }.
% 0.76/1.23 parent0[0]: (76) {G6,W15,D5,L1,V2,M1} P(74,3);d(61) { rd( ld( X, mult( X, Y
% 0.76/1.23 ) ), Y ) ==> ld( X, mult( X, ld( Y, Y ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (497) {G5,W27,D6,L1,V1,M1} { ld( rd( ld( X, X ), X ), mult( rd(
% 0.76/1.23 ld( X, X ), X ), ld( X, X ) ) ) ==> rd( ld( rd( ld( X, X ), X ), ld( X, X
% 0.76/1.23 ) ), X ) }.
% 0.76/1.23 parent0[0]: (13) {G4,W11,D5,L1,V1,M1} P(10,3);d(9) { mult( rd( ld( X, X ),
% 0.76/1.23 X ), X ) ==> ld( X, X ) }.
% 0.76/1.23 parent1[0; 23]: (494) {G6,W15,D5,L1,V2,M1} { ld( X, mult( X, ld( Y, Y ) )
% 0.76/1.23 ) ==> rd( ld( X, mult( X, Y ) ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := rd( ld( X, X ), X )
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (498) {G6,W15,D6,L1,V1,M1} { ld( X, X ) ==> rd( ld( rd( ld( X, X
% 0.76/1.23 ), X ), ld( X, X ) ), X ) }.
% 0.76/1.23 parent0[0]: (34) {G5,W19,D6,L1,V1,M1} P(13,30) { ld( rd( ld( X, X ), X ),
% 0.76/1.23 mult( rd( ld( X, X ), X ), ld( X, X ) ) ) ==> ld( X, X ) }.
% 0.76/1.23 parent1[0; 1]: (497) {G5,W27,D6,L1,V1,M1} { ld( rd( ld( X, X ), X ), mult
% 0.76/1.23 ( rd( ld( X, X ), X ), ld( X, X ) ) ) ==> rd( ld( rd( ld( X, X ), X ), ld
% 0.76/1.23 ( X, X ) ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (499) {G6,W15,D6,L1,V1,M1} { rd( ld( rd( ld( X, X ), X ), ld( X, X
% 0.76/1.23 ) ), X ) ==> ld( X, X ) }.
% 0.76/1.23 parent0[0]: (498) {G6,W15,D6,L1,V1,M1} { ld( X, X ) ==> rd( ld( rd( ld( X
% 0.76/1.23 , X ), X ), ld( X, X ) ), X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (78) {G7,W15,D6,L1,V1,M1} P(13,76);d(34) { rd( ld( rd( ld( X,
% 0.76/1.23 X ), X ), ld( X, X ) ), X ) ==> ld( X, X ) }.
% 0.76/1.23 parent0: (499) {G6,W15,D6,L1,V1,M1} { rd( ld( rd( ld( X, X ), X ), ld( X,
% 0.76/1.23 X ) ), X ) ==> ld( X, X ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (500) {G4,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X, Z ), Z
% 0.76/1.23 ) ) = mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ) }.
% 0.76/1.23 parent0[0]: (41) {G4,W19,D5,L1,V3,M1} P(10,5) { mult( rd( X, rd( Y, Z ) ),
% 0.76/1.23 rd( Y, Z ) ) = mult( ld( X, X ), mult( rd( X, Z ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (501) {G4,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X, Z ), Z
% 0.76/1.23 ) ) = mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ) }.
% 0.76/1.23 parent0[0]: (41) {G4,W19,D5,L1,V3,M1} P(10,5) { mult( rd( X, rd( Y, Z ) ),
% 0.76/1.23 rd( Y, Z ) ) = mult( ld( X, X ), mult( rd( X, Z ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (502) {G5,W19,D5,L1,V4,M1} { mult( rd( X, rd( T, Y ) ), rd( T, Y
% 0.76/1.23 ) ) = mult( rd( X, rd( Z, Y ) ), rd( Z, Y ) ) }.
% 0.76/1.23 parent0[0]: (500) {G4,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X, Z
% 0.76/1.23 ), Z ) ) = mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ) }.
% 0.76/1.23 parent1[0; 1]: (501) {G4,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X
% 0.76/1.23 , Z ), Z ) ) = mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := T
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (79) {G5,W19,D5,L1,V4,M1} P(41,41) { mult( rd( X, rd( T, Y ) )
% 0.76/1.23 , rd( T, Y ) ) = mult( rd( X, rd( Z, Y ) ), rd( Z, Y ) ) }.
% 0.76/1.23 parent0: (502) {G5,W19,D5,L1,V4,M1} { mult( rd( X, rd( T, Y ) ), rd( T, Y
% 0.76/1.23 ) ) = mult( rd( X, rd( Z, Y ) ), rd( Z, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (504) {G3,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld( mult( X
% 0.76/1.23 , Y ), mult( mult( X, Y ), Z ) ) }.
% 0.76/1.23 parent0[0]: (35) {G3,W15,D5,L1,V3,M1} P(30,24) { ld( mult( X, Y ), mult(
% 0.76/1.23 mult( X, Y ), Z ) ) ==> ld( X, mult( X, Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (523) {G4,W35,D7,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult( rd( X
% 0.76/1.23 , rd( Y, Z ) ), T ) ) ==> ld( mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ),
% 0.76/1.23 mult( mult( ld( X, X ), mult( rd( X, Z ), Z ) ), T ) ) }.
% 0.76/1.23 parent0[0]: (41) {G4,W19,D5,L1,V3,M1} P(10,5) { mult( rd( X, rd( Y, Z ) ),
% 0.76/1.23 rd( Y, Z ) ) = mult( ld( X, X ), mult( rd( X, Z ), Z ) ) }.
% 0.76/1.23 parent1[0; 25]: (504) {G3,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld
% 0.76/1.23 ( mult( X, Y ), mult( mult( X, Y ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := rd( X, rd( Y, Z ) )
% 0.76/1.23 Y := rd( Y, Z )
% 0.76/1.23 Z := T
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (524) {G5,W35,D7,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult( rd( X
% 0.76/1.23 , rd( Y, Z ) ), T ) ) ==> ld( mult( ld( X, X ), mult( rd( X, Z ), Z ) ),
% 0.76/1.23 mult( mult( ld( X, X ), mult( rd( X, Z ), Z ) ), T ) ) }.
% 0.76/1.23 parent0[0]: (41) {G4,W19,D5,L1,V3,M1} P(10,5) { mult( rd( X, rd( Y, Z ) ),
% 0.76/1.23 rd( Y, Z ) ) = mult( ld( X, X ), mult( rd( X, Z ), Z ) ) }.
% 0.76/1.23 parent1[0; 15]: (523) {G4,W35,D7,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult
% 0.76/1.23 ( rd( X, rd( Y, Z ) ), T ) ) ==> ld( mult( rd( X, rd( Y, Z ) ), rd( Y, Z
% 0.76/1.23 ) ), mult( mult( ld( X, X ), mult( rd( X, Z ), Z ) ), T ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (525) {G4,W23,D6,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult( rd( X
% 0.76/1.23 , rd( Y, Z ) ), T ) ) ==> ld( ld( X, X ), mult( ld( X, X ), T ) ) }.
% 0.76/1.23 parent0[0]: (35) {G3,W15,D5,L1,V3,M1} P(30,24) { ld( mult( X, Y ), mult(
% 0.76/1.23 mult( X, Y ), Z ) ) ==> ld( X, mult( X, Z ) ) }.
% 0.76/1.23 parent1[0; 14]: (524) {G5,W35,D7,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult
% 0.76/1.23 ( rd( X, rd( Y, Z ) ), T ) ) ==> ld( mult( ld( X, X ), mult( rd( X, Z ),
% 0.76/1.23 Z ) ), mult( mult( ld( X, X ), mult( rd( X, Z ), Z ) ), T ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := ld( X, X )
% 0.76/1.23 Y := mult( rd( X, Z ), Z )
% 0.76/1.23 Z := T
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (526) {G3,W19,D6,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult( rd( X
% 0.76/1.23 , rd( Y, Z ) ), T ) ) ==> ld( X, mult( X, T ) ) }.
% 0.76/1.23 parent0[0]: (24) {G2,W15,D5,L1,V3,M1} P(8,4);d(23);d(8) { ld( ld( Y, Z ),
% 0.76/1.23 mult( ld( Y, Z ), X ) ) ==> ld( Y, mult( Y, X ) ) }.
% 0.76/1.23 parent1[0; 14]: (525) {G4,W23,D6,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult
% 0.76/1.23 ( rd( X, rd( Y, Z ) ), T ) ) ==> ld( ld( X, X ), mult( ld( X, X ), T ) )
% 0.76/1.23 }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := T
% 0.76/1.23 Y := X
% 0.76/1.23 Z := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (83) {G5,W19,D6,L1,V4,M1} P(41,35);d(35);d(24) { ld( rd( X, rd
% 0.76/1.23 ( Y, Z ) ), mult( rd( X, rd( Y, Z ) ), T ) ) ==> ld( X, mult( X, T ) )
% 0.76/1.23 }.
% 0.76/1.23 parent0: (526) {G3,W19,D6,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult( rd( X
% 0.76/1.23 , rd( Y, Z ) ), T ) ) ==> ld( X, mult( X, T ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (529) {G4,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X, Z ), Z
% 0.76/1.23 ) ) = mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ) }.
% 0.76/1.23 parent0[0]: (41) {G4,W19,D5,L1,V3,M1} P(10,5) { mult( rd( X, rd( Y, Z ) ),
% 0.76/1.23 rd( Y, Z ) ) = mult( ld( X, X ), mult( rd( X, Z ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (532) {G3,W19,D5,L1,V2,M1} { mult( ld( X, X ), mult( ld( X, X ),
% 0.76/1.23 X ) ) = mult( rd( X, rd( Y, X ) ), rd( Y, X ) ) }.
% 0.76/1.23 parent0[0]: (9) {G2,W7,D3,L1,V1,M1} P(8,3);d(6);d(2);d(0) { rd( X, X ) ==>
% 0.76/1.23 ld( X, X ) }.
% 0.76/1.23 parent1[0; 6]: (529) {G4,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X
% 0.76/1.23 , Z ), Z ) ) = mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (538) {G4,W15,D5,L1,V2,M1} { mult( ld( X, X ), X ) = mult( rd( X
% 0.76/1.23 , rd( Y, X ) ), rd( Y, X ) ) }.
% 0.76/1.23 parent0[0]: (10) {G3,W7,D4,L1,V1,M1} P(9,8) { mult( ld( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 parent1[0; 5]: (532) {G3,W19,D5,L1,V2,M1} { mult( ld( X, X ), mult( ld( X
% 0.76/1.23 , X ), X ) ) = mult( rd( X, rd( Y, X ) ), rd( Y, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (540) {G4,W11,D5,L1,V2,M1} { X = mult( rd( X, rd( Y, X ) ), rd( Y
% 0.76/1.23 , X ) ) }.
% 0.76/1.23 parent0[0]: (10) {G3,W7,D4,L1,V1,M1} P(9,8) { mult( ld( X, X ), X ) ==> X
% 0.76/1.23 }.
% 0.76/1.23 parent1[0; 1]: (538) {G4,W15,D5,L1,V2,M1} { mult( ld( X, X ), X ) = mult(
% 0.76/1.23 rd( X, rd( Y, X ) ), rd( Y, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (541) {G4,W11,D5,L1,V2,M1} { mult( rd( X, rd( Y, X ) ), rd( Y, X )
% 0.76/1.23 ) = X }.
% 0.76/1.23 parent0[0]: (540) {G4,W11,D5,L1,V2,M1} { X = mult( rd( X, rd( Y, X ) ), rd
% 0.76/1.23 ( Y, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (86) {G5,W11,D5,L1,V2,M1} P(9,41);d(10);d(10) { mult( rd( X,
% 0.76/1.23 rd( Y, X ) ), rd( Y, X ) ) ==> X }.
% 0.76/1.23 parent0: (541) {G4,W11,D5,L1,V2,M1} { mult( rd( X, rd( Y, X ) ), rd( Y, X
% 0.76/1.23 ) ) = X }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (543) {G5,W11,D5,L1,V2,M1} { X ==> mult( rd( X, rd( Y, X ) ), rd(
% 0.76/1.23 Y, X ) ) }.
% 0.76/1.23 parent0[0]: (86) {G5,W11,D5,L1,V2,M1} P(9,41);d(10);d(10) { mult( rd( X, rd
% 0.76/1.23 ( Y, X ) ), rd( Y, X ) ) ==> X }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (546) {G6,W19,D8,L1,V1,M1} { X ==> mult( rd( X, rd( ld( rd( ld( X
% 0.76/1.23 , X ), X ), ld( X, X ) ), X ) ), ld( X, X ) ) }.
% 0.76/1.23 parent0[0]: (78) {G7,W15,D6,L1,V1,M1} P(13,76);d(34) { rd( ld( rd( ld( X, X
% 0.76/1.23 ), X ), ld( X, X ) ), X ) ==> ld( X, X ) }.
% 0.76/1.23 parent1[0; 16]: (543) {G5,W11,D5,L1,V2,M1} { X ==> mult( rd( X, rd( Y, X )
% 0.76/1.23 ), rd( Y, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := ld( rd( ld( X, X ), X ), ld( X, X ) )
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (547) {G7,W11,D5,L1,V1,M1} { X ==> mult( rd( X, ld( X, X ) ), ld
% 0.76/1.23 ( X, X ) ) }.
% 0.76/1.23 parent0[0]: (78) {G7,W15,D6,L1,V1,M1} P(13,76);d(34) { rd( ld( rd( ld( X, X
% 0.76/1.23 ), X ), ld( X, X ) ), X ) ==> ld( X, X ) }.
% 0.76/1.23 parent1[0; 5]: (546) {G6,W19,D8,L1,V1,M1} { X ==> mult( rd( X, rd( ld( rd
% 0.76/1.23 ( ld( X, X ), X ), ld( X, X ) ), X ) ), ld( X, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (548) {G3,W7,D4,L1,V1,M1} { X ==> rd( X, ld( X, X ) ) }.
% 0.76/1.23 parent0[0]: (64) {G2,W15,D5,L1,V1,M1} P(0,11) { mult( rd( X, ld( X, X ) ),
% 0.76/1.23 ld( X, X ) ) ==> rd( X, ld( X, X ) ) }.
% 0.76/1.23 parent1[0; 2]: (547) {G7,W11,D5,L1,V1,M1} { X ==> mult( rd( X, ld( X, X )
% 0.76/1.23 ), ld( X, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (549) {G3,W7,D4,L1,V1,M1} { rd( X, ld( X, X ) ) ==> X }.
% 0.76/1.23 parent0[0]: (548) {G3,W7,D4,L1,V1,M1} { X ==> rd( X, ld( X, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (89) {G8,W7,D4,L1,V1,M1} P(78,86);d(64) { rd( X, ld( X, X ) )
% 0.76/1.23 ==> X }.
% 0.76/1.23 parent0: (549) {G3,W7,D4,L1,V1,M1} { rd( X, ld( X, X ) ) ==> X }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (554) {G6,W23,D6,L1,V3,M1} { mult( rd( X, rd( Y, ld( Z, Z ) ) ),
% 0.76/1.23 rd( Y, ld( Z, Z ) ) ) = mult( rd( X, rd( Z, ld( Z, Z ) ) ), Z ) }.
% 0.76/1.23 parent0[0]: (89) {G8,W7,D4,L1,V1,M1} P(78,86);d(64) { rd( X, ld( X, X ) )
% 0.76/1.23 ==> X }.
% 0.76/1.23 parent1[0; 22]: (79) {G5,W19,D5,L1,V4,M1} P(41,41) { mult( rd( X, rd( T, Y
% 0.76/1.23 ) ), rd( T, Y ) ) = mult( rd( X, rd( Z, Y ) ), rd( Z, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Z
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := ld( Z, Z )
% 0.76/1.23 Z := Z
% 0.76/1.23 T := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (555) {G7,W19,D6,L1,V3,M1} { mult( rd( X, rd( Y, ld( Z, Z ) ) ),
% 0.76/1.23 rd( Y, ld( Z, Z ) ) ) = mult( rd( X, Z ), Z ) }.
% 0.76/1.23 parent0[0]: (89) {G8,W7,D4,L1,V1,M1} P(78,86);d(64) { rd( X, ld( X, X ) )
% 0.76/1.23 ==> X }.
% 0.76/1.23 parent1[0; 17]: (554) {G6,W23,D6,L1,V3,M1} { mult( rd( X, rd( Y, ld( Z, Z
% 0.76/1.23 ) ) ), rd( Y, ld( Z, Z ) ) ) = mult( rd( X, rd( Z, ld( Z, Z ) ) ), Z )
% 0.76/1.23 }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Z
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (169) {G9,W19,D6,L1,V3,M1} P(89,79) { mult( rd( Y, rd( Z, ld(
% 0.76/1.23 X, X ) ) ), rd( Z, ld( X, X ) ) ) ==> mult( rd( Y, X ), X ) }.
% 0.76/1.23 parent0: (555) {G7,W19,D6,L1,V3,M1} { mult( rd( X, rd( Y, ld( Z, Z ) ) ),
% 0.76/1.23 rd( Y, ld( Z, Z ) ) ) = mult( rd( X, Z ), Z ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (560) {G6,W27,D8,L1,V3,M1} { mult( rd( X, rd( ld( rd( ld( Y, Y )
% 0.76/1.23 , Y ), ld( Y, Y ) ), Y ) ), ld( Y, Y ) ) = mult( rd( X, rd( Z, Y ) ), rd
% 0.76/1.23 ( Z, Y ) ) }.
% 0.76/1.23 parent0[0]: (78) {G7,W15,D6,L1,V1,M1} P(13,76);d(34) { rd( ld( rd( ld( X, X
% 0.76/1.23 ), X ), ld( X, X ) ), X ) ==> ld( X, X ) }.
% 0.76/1.23 parent1[0; 15]: (79) {G5,W19,D5,L1,V4,M1} P(41,41) { mult( rd( X, rd( T, Y
% 0.76/1.23 ) ), rd( T, Y ) ) = mult( rd( X, rd( Z, Y ) ), rd( Z, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := ld( rd( ld( Y, Y ), Y ), ld( Y, Y ) )
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (565) {G7,W19,D5,L1,V3,M1} { mult( rd( X, ld( Y, Y ) ), ld( Y, Y
% 0.76/1.23 ) ) = mult( rd( X, rd( Z, Y ) ), rd( Z, Y ) ) }.
% 0.76/1.23 parent0[0]: (78) {G7,W15,D6,L1,V1,M1} P(13,76);d(34) { rd( ld( rd( ld( X, X
% 0.76/1.23 ), X ), ld( X, X ) ), X ) ==> ld( X, X ) }.
% 0.76/1.23 parent1[0; 4]: (560) {G6,W27,D8,L1,V3,M1} { mult( rd( X, rd( ld( rd( ld( Y
% 0.76/1.23 , Y ), Y ), ld( Y, Y ) ), Y ) ), ld( Y, Y ) ) = mult( rd( X, rd( Z, Y ) )
% 0.76/1.23 , rd( Z, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (170) {G8,W19,D5,L1,V3,M1} P(78,79) { mult( rd( Y, ld( X, X )
% 0.76/1.23 ), ld( X, X ) ) = mult( rd( Y, rd( Z, X ) ), rd( Z, X ) ) }.
% 0.76/1.23 parent0: (565) {G7,W19,D5,L1,V3,M1} { mult( rd( X, ld( Y, Y ) ), ld( Y, Y
% 0.76/1.23 ) ) = mult( rd( X, rd( Z, Y ) ), rd( Z, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (567) {G8,W19,D5,L1,V3,M1} { mult( rd( X, rd( Z, Y ) ), rd( Z, Y )
% 0.76/1.23 ) = mult( rd( X, ld( Y, Y ) ), ld( Y, Y ) ) }.
% 0.76/1.23 parent0[0]: (170) {G8,W19,D5,L1,V3,M1} P(78,79) { mult( rd( Y, ld( X, X ) )
% 0.76/1.23 , ld( X, X ) ) = mult( rd( Y, rd( Z, X ) ), rd( Z, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (570) {G9,W27,D6,L1,V2,M1} { mult( rd( X, rd( Y, ld( Y, Y ) ) ),
% 0.76/1.23 Y ) = mult( rd( X, ld( ld( Y, Y ), ld( Y, Y ) ) ), ld( ld( Y, Y ), ld( Y
% 0.76/1.23 , Y ) ) ) }.
% 0.76/1.23 parent0[0]: (89) {G8,W7,D4,L1,V1,M1} P(78,86);d(64) { rd( X, ld( X, X ) )
% 0.76/1.23 ==> X }.
% 0.76/1.23 parent1[0; 9]: (567) {G8,W19,D5,L1,V3,M1} { mult( rd( X, rd( Z, Y ) ), rd
% 0.76/1.23 ( Z, Y ) ) = mult( rd( X, ld( Y, Y ) ), ld( Y, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := ld( Y, Y )
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (572) {G9,W23,D6,L1,V2,M1} { mult( rd( X, Y ), Y ) = mult( rd( X
% 0.76/1.23 , ld( ld( Y, Y ), ld( Y, Y ) ) ), ld( ld( Y, Y ), ld( Y, Y ) ) ) }.
% 0.76/1.23 parent0[0]: (89) {G8,W7,D4,L1,V1,M1} P(78,86);d(64) { rd( X, ld( X, X ) )
% 0.76/1.23 ==> X }.
% 0.76/1.23 parent1[0; 4]: (570) {G9,W27,D6,L1,V2,M1} { mult( rd( X, rd( Y, ld( Y, Y )
% 0.76/1.23 ) ), Y ) = mult( rd( X, ld( ld( Y, Y ), ld( Y, Y ) ) ), ld( ld( Y, Y ),
% 0.76/1.23 ld( Y, Y ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (580) {G6,W19,D6,L1,V2,M1} { mult( rd( X, Y ), Y ) = mult( rd( X
% 0.76/1.23 , ld( ld( Y, Y ), ld( Y, Y ) ) ), ld( Y, Y ) ) }.
% 0.76/1.23 parent0[0]: (62) {G5,W11,D4,L1,V1,M1} P(9,16);d(10);d(39);d(43) { ld( ld( X
% 0.76/1.23 , X ), ld( X, X ) ) ==> ld( X, X ) }.
% 0.76/1.23 parent1[0; 16]: (572) {G9,W23,D6,L1,V2,M1} { mult( rd( X, Y ), Y ) = mult
% 0.76/1.23 ( rd( X, ld( ld( Y, Y ), ld( Y, Y ) ) ), ld( ld( Y, Y ), ld( Y, Y ) ) )
% 0.76/1.23 }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (581) {G6,W15,D5,L1,V2,M1} { mult( rd( X, Y ), Y ) = mult( rd( X
% 0.76/1.23 , ld( Y, Y ) ), ld( Y, Y ) ) }.
% 0.76/1.23 parent0[0]: (62) {G5,W11,D4,L1,V1,M1} P(9,16);d(10);d(39);d(43) { ld( ld( X
% 0.76/1.23 , X ), ld( X, X ) ) ==> ld( X, X ) }.
% 0.76/1.23 parent1[0; 9]: (580) {G6,W19,D6,L1,V2,M1} { mult( rd( X, Y ), Y ) = mult(
% 0.76/1.23 rd( X, ld( ld( Y, Y ), ld( Y, Y ) ) ), ld( Y, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (583) {G6,W15,D5,L1,V2,M1} { mult( rd( X, ld( Y, Y ) ), ld( Y, Y )
% 0.76/1.23 ) = mult( rd( X, Y ), Y ) }.
% 0.76/1.23 parent0[0]: (581) {G6,W15,D5,L1,V2,M1} { mult( rd( X, Y ), Y ) = mult( rd
% 0.76/1.23 ( X, ld( Y, Y ) ), ld( Y, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (175) {G9,W15,D5,L1,V2,M1} P(89,170);d(62) { mult( rd( Y, ld(
% 0.76/1.23 X, X ) ), ld( X, X ) ) ==> mult( rd( Y, X ), X ) }.
% 0.76/1.23 parent0: (583) {G6,W15,D5,L1,V2,M1} { mult( rd( X, ld( Y, Y ) ), ld( Y, Y
% 0.76/1.23 ) ) = mult( rd( X, Y ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (585) {G8,W19,D5,L1,V3,M1} { mult( rd( X, rd( Z, Y ) ), rd( Z, Y )
% 0.76/1.23 ) = mult( rd( X, ld( Y, Y ) ), ld( Y, Y ) ) }.
% 0.76/1.23 parent0[0]: (170) {G8,W19,D5,L1,V3,M1} P(78,79) { mult( rd( Y, ld( X, X ) )
% 0.76/1.23 , ld( X, X ) ) = mult( rd( Y, rd( Z, X ) ), rd( Z, X ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (586) {G4,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X, Z ), Z
% 0.76/1.23 ) ) = mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ) }.
% 0.76/1.23 parent0[0]: (41) {G4,W19,D5,L1,V3,M1} P(10,5) { mult( rd( X, rd( Y, Z ) ),
% 0.76/1.23 rd( Y, Z ) ) = mult( ld( X, X ), mult( rd( X, Z ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (589) {G5,W19,D5,L1,V2,M1} { mult( ld( X, X ), mult( rd( X, Y ),
% 0.76/1.23 Y ) ) = mult( rd( X, ld( Y, Y ) ), ld( Y, Y ) ) }.
% 0.76/1.23 parent0[0]: (585) {G8,W19,D5,L1,V3,M1} { mult( rd( X, rd( Z, Y ) ), rd( Z
% 0.76/1.23 , Y ) ) = mult( rd( X, ld( Y, Y ) ), ld( Y, Y ) ) }.
% 0.76/1.23 parent1[0; 10]: (586) {G4,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X
% 0.76/1.23 , Z ), Z ) ) = mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (591) {G6,W15,D5,L1,V2,M1} { mult( ld( X, X ), mult( rd( X, Y ),
% 0.76/1.23 Y ) ) = mult( rd( X, Y ), Y ) }.
% 0.76/1.23 parent0[0]: (175) {G9,W15,D5,L1,V2,M1} P(89,170);d(62) { mult( rd( Y, ld( X
% 0.76/1.23 , X ) ), ld( X, X ) ) ==> mult( rd( Y, X ), X ) }.
% 0.76/1.23 parent1[0; 10]: (589) {G5,W19,D5,L1,V2,M1} { mult( ld( X, X ), mult( rd( X
% 0.76/1.23 , Y ), Y ) ) = mult( rd( X, ld( Y, Y ) ), ld( Y, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (176) {G10,W15,D5,L1,V2,M1} P(170,41);d(175) { mult( ld( X, X
% 0.76/1.23 ), mult( rd( X, Z ), Z ) ) ==> mult( rd( X, Z ), Z ) }.
% 0.76/1.23 parent0: (591) {G6,W15,D5,L1,V2,M1} { mult( ld( X, X ), mult( rd( X, Y ),
% 0.76/1.23 Y ) ) = mult( rd( X, Y ), Y ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (594) {G4,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X, Z ), Z
% 0.76/1.23 ) ) = mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ) }.
% 0.76/1.23 parent0[0]: (41) {G4,W19,D5,L1,V3,M1} P(10,5) { mult( rd( X, rd( Y, Z ) ),
% 0.76/1.23 rd( Y, Z ) ) = mult( ld( X, X ), mult( rd( X, Z ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (604) {G5,W27,D6,L1,V4,M1} { mult( ld( X, X ), mult( rd( X, rd( T
% 0.76/1.23 , Y ) ), rd( T, Y ) ) ) = mult( rd( X, rd( Z, ld( Y, Y ) ) ), rd( Z, ld(
% 0.76/1.23 Y, Y ) ) ) }.
% 0.76/1.23 parent0[0]: (170) {G8,W19,D5,L1,V3,M1} P(78,79) { mult( rd( Y, ld( X, X ) )
% 0.76/1.23 , ld( X, X ) ) = mult( rd( Y, rd( Z, X ) ), rd( Z, X ) ) }.
% 0.76/1.23 parent1[0; 5]: (594) {G4,W19,D5,L1,V3,M1} { mult( ld( X, X ), mult( rd( X
% 0.76/1.23 , Z ), Z ) ) = mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Y
% 0.76/1.23 Y := X
% 0.76/1.23 Z := T
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := ld( Y, Y )
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (605) {G6,W19,D6,L1,V3,M1} { mult( ld( X, X ), mult( rd( X, rd( Y
% 0.76/1.23 , Z ) ), rd( Y, Z ) ) ) = mult( rd( X, Z ), Z ) }.
% 0.76/1.23 parent0[0]: (169) {G9,W19,D6,L1,V3,M1} P(89,79) { mult( rd( Y, rd( Z, ld( X
% 0.76/1.23 , X ) ) ), rd( Z, ld( X, X ) ) ) ==> mult( rd( Y, X ), X ) }.
% 0.76/1.23 parent1[0; 14]: (604) {G5,W27,D6,L1,V4,M1} { mult( ld( X, X ), mult( rd( X
% 0.76/1.23 , rd( T, Y ) ), rd( T, Y ) ) ) = mult( rd( X, rd( Z, ld( Y, Y ) ) ), rd(
% 0.76/1.23 Z, ld( Y, Y ) ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := Z
% 0.76/1.23 Y := X
% 0.76/1.23 Z := T
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := T
% 0.76/1.23 T := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (606) {G7,W15,D5,L1,V3,M1} { mult( rd( X, rd( Y, Z ) ), rd( Y, Z
% 0.76/1.23 ) ) = mult( rd( X, Z ), Z ) }.
% 0.76/1.23 parent0[0]: (176) {G10,W15,D5,L1,V2,M1} P(170,41);d(175) { mult( ld( X, X )
% 0.76/1.23 , mult( rd( X, Z ), Z ) ) ==> mult( rd( X, Z ), Z ) }.
% 0.76/1.23 parent1[0; 1]: (605) {G6,W19,D6,L1,V3,M1} { mult( ld( X, X ), mult( rd( X
% 0.76/1.23 , rd( Y, Z ) ), rd( Y, Z ) ) ) = mult( rd( X, Z ), Z ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := T
% 0.76/1.23 Z := rd( Y, Z )
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (177) {G11,W15,D5,L1,V3,M1} P(170,41);d(169);d(176) { mult( rd
% 0.76/1.23 ( X, rd( Z, Y ) ), rd( Z, Y ) ) ==> mult( rd( X, Y ), Y ) }.
% 0.76/1.23 parent0: (606) {G7,W15,D5,L1,V3,M1} { mult( rd( X, rd( Y, Z ) ), rd( Y, Z
% 0.76/1.23 ) ) = mult( rd( X, Z ), Z ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (609) {G3,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld( mult( X
% 0.76/1.23 , Y ), mult( mult( X, Y ), Z ) ) }.
% 0.76/1.23 parent0[0]: (35) {G3,W15,D5,L1,V3,M1} P(30,24) { ld( mult( X, Y ), mult(
% 0.76/1.23 mult( X, Y ), Z ) ) ==> ld( X, mult( X, Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (614) {G4,W31,D6,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult( rd( X
% 0.76/1.23 , rd( Y, Z ) ), T ) ) ==> ld( mult( rd( X, rd( Y, Z ) ), rd( Y, Z ) ),
% 0.76/1.23 mult( mult( rd( X, Z ), Z ), T ) ) }.
% 0.76/1.23 parent0[0]: (177) {G11,W15,D5,L1,V3,M1} P(170,41);d(169);d(176) { mult( rd
% 0.76/1.23 ( X, rd( Z, Y ) ), rd( Z, Y ) ) ==> mult( rd( X, Y ), Y ) }.
% 0.76/1.23 parent1[0; 25]: (609) {G3,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld
% 0.76/1.23 ( mult( X, Y ), mult( mult( X, Y ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := rd( X, rd( Y, Z ) )
% 0.76/1.23 Y := rd( Y, Z )
% 0.76/1.23 Z := T
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (615) {G5,W27,D6,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult( rd( X
% 0.76/1.23 , rd( Y, Z ) ), T ) ) ==> ld( mult( rd( X, Z ), Z ), mult( mult( rd( X, Z
% 0.76/1.23 ), Z ), T ) ) }.
% 0.76/1.23 parent0[0]: (177) {G11,W15,D5,L1,V3,M1} P(170,41);d(169);d(176) { mult( rd
% 0.76/1.23 ( X, rd( Z, Y ) ), rd( Z, Y ) ) ==> mult( rd( X, Y ), Y ) }.
% 0.76/1.23 parent1[0; 15]: (614) {G4,W31,D6,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult
% 0.76/1.23 ( rd( X, rd( Y, Z ) ), T ) ) ==> ld( mult( rd( X, rd( Y, Z ) ), rd( Y, Z
% 0.76/1.23 ) ), mult( mult( rd( X, Z ), Z ), T ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := Y
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (616) {G4,W23,D6,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult( rd( X
% 0.76/1.23 , rd( Y, Z ) ), T ) ) ==> ld( rd( X, Z ), mult( rd( X, Z ), T ) ) }.
% 0.76/1.23 parent0[0]: (35) {G3,W15,D5,L1,V3,M1} P(30,24) { ld( mult( X, Y ), mult(
% 0.76/1.23 mult( X, Y ), Z ) ) ==> ld( X, mult( X, Z ) ) }.
% 0.76/1.23 parent1[0; 14]: (615) {G5,W27,D6,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult
% 0.76/1.23 ( rd( X, rd( Y, Z ) ), T ) ) ==> ld( mult( rd( X, Z ), Z ), mult( mult(
% 0.76/1.23 rd( X, Z ), Z ), T ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := rd( X, Z )
% 0.76/1.23 Y := Z
% 0.76/1.23 Z := T
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 paramod: (617) {G5,W15,D5,L1,V3,M1} { ld( X, mult( X, T ) ) ==> ld( rd( X
% 0.76/1.23 , Z ), mult( rd( X, Z ), T ) ) }.
% 0.76/1.23 parent0[0]: (83) {G5,W19,D6,L1,V4,M1} P(41,35);d(35);d(24) { ld( rd( X, rd
% 0.76/1.23 ( Y, Z ) ), mult( rd( X, rd( Y, Z ) ), T ) ) ==> ld( X, mult( X, T ) )
% 0.76/1.23 }.
% 0.76/1.23 parent1[0; 1]: (616) {G4,W23,D6,L1,V4,M1} { ld( rd( X, rd( Y, Z ) ), mult
% 0.76/1.23 ( rd( X, rd( Y, Z ) ), T ) ) ==> ld( rd( X, Z ), mult( rd( X, Z ), T ) )
% 0.76/1.23 }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := X
% 0.76/1.23 Y := Y
% 0.76/1.23 Z := Z
% 0.76/1.23 T := T
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (618) {G5,W15,D5,L1,V3,M1} { ld( rd( X, Z ), mult( rd( X, Z ), Y )
% 0.76/1.23 ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 parent0[0]: (617) {G5,W15,D5,L1,V3,M1} { ld( X, mult( X, T ) ) ==> ld( rd
% 0.76/1.23 ( X, Z ), mult( rd( X, Z ), T ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := T
% 0.76/1.23 Z := Z
% 0.76/1.23 T := Y
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (192) {G12,W15,D5,L1,V3,M1} P(177,35);d(35);d(83) { ld( rd( X
% 0.76/1.23 , Z ), mult( rd( X, Z ), T ) ) ==> ld( X, mult( X, T ) ) }.
% 0.76/1.23 parent0: (618) {G5,W15,D5,L1,V3,M1} { ld( rd( X, Z ), mult( rd( X, Z ), Y
% 0.76/1.23 ) ) ==> ld( X, mult( X, Y ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := T
% 0.76/1.23 Z := Z
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 0 ==> 0
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (619) {G12,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld( rd( X
% 0.76/1.23 , Y ), mult( rd( X, Y ), Z ) ) }.
% 0.76/1.23 parent0[0]: (192) {G12,W15,D5,L1,V3,M1} P(177,35);d(35);d(83) { ld( rd( X,
% 0.76/1.23 Z ), mult( rd( X, Z ), T ) ) ==> ld( X, mult( X, T ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 X := X
% 0.76/1.23 Y := T
% 0.76/1.23 Z := Y
% 0.76/1.23 T := Z
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 eqswap: (620) {G3,W15,D5,L1,V0,M1} { ! ld( skol1, mult( skol1, skol3 ) )
% 0.76/1.23 ==> ld( rd( skol1, skol2 ), mult( rd( skol1, skol2 ), skol3 ) ) }.
% 0.76/1.23 parent0[0]: (54) {G3,W15,D5,L1,V0,M1} S(7);d(24);q { ! ld( rd( skol1, skol2
% 0.76/1.23 ), mult( rd( skol1, skol2 ), skol3 ) ) ==> ld( skol1, mult( skol1, skol3
% 0.76/1.23 ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 resolution: (621) {G4,W0,D0,L0,V0,M0} { }.
% 0.76/1.23 parent0[0]: (620) {G3,W15,D5,L1,V0,M1} { ! ld( skol1, mult( skol1, skol3 )
% 0.76/1.23 ) ==> ld( rd( skol1, skol2 ), mult( rd( skol1, skol2 ), skol3 ) ) }.
% 0.76/1.23 parent1[0]: (619) {G12,W15,D5,L1,V3,M1} { ld( X, mult( X, Z ) ) ==> ld( rd
% 0.76/1.23 ( X, Y ), mult( rd( X, Y ), Z ) ) }.
% 0.76/1.23 substitution0:
% 0.76/1.23 end
% 0.76/1.23 substitution1:
% 0.76/1.23 X := skol1
% 0.76/1.23 Y := skol2
% 0.76/1.23 Z := skol3
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 subsumption: (196) {G13,W0,D0,L0,V0,M0} R(192,54) { }.
% 0.76/1.23 parent0: (621) {G4,W0,D0,L0,V0,M0} { }.
% 0.76/1.23 substitution0:
% 0.76/1.23 end
% 0.76/1.23 permutation0:
% 0.76/1.23 end
% 0.76/1.23
% 0.76/1.23 Proof check complete!
% 0.76/1.23
% 0.76/1.23 Memory use:
% 0.76/1.23
% 0.76/1.23 space for terms: 3688
% 0.76/1.23 space for clauses: 32523
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 clauses generated: 3611
% 0.76/1.23 clauses kept: 197
% 0.76/1.23 clauses selected: 69
% 0.76/1.23 clauses deleted: 15
% 0.76/1.23 clauses inuse deleted: 0
% 0.76/1.23
% 0.76/1.23 subsentry: 1522
% 0.76/1.23 literals s-matched: 448
% 0.76/1.23 literals matched: 415
% 0.76/1.23 full subsumption: 0
% 0.76/1.23
% 0.76/1.23 checksum: -1730454353
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 Bliksem ended
%------------------------------------------------------------------------------