TSTP Solution File: NUM849+2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : Mon Jul 18 06:27:03 EDT 2022
% Result : Theorem 2.56s 2.97s
% Output : Refutation 2.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jul 7 22:34:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.56/2.97 *** allocated 10000 integers for termspace/termends
% 2.56/2.97 *** allocated 10000 integers for clauses
% 2.56/2.97 *** allocated 10000 integers for justifications
% 2.56/2.97 Bliksem 1.12
% 2.56/2.97
% 2.56/2.97
% 2.56/2.97 Automatic Strategy Selection
% 2.56/2.97
% 2.56/2.97
% 2.56/2.97 Clauses:
% 2.56/2.97
% 2.56/2.97 { vmul( vmul( vd448, vd449 ), skol1 ) = vmul( vd448, vmul( vd449, skol1 ) )
% 2.56/2.97 }.
% 2.56/2.97 { ! vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) = vmul( vd448, vmul( vd449
% 2.56/2.97 , vsucc( skol1 ) ) ) }.
% 2.56/2.97 { ! vmul( vmul( vd448, vd449 ), X ) = vmul( vd448, vmul( vd449, X ) ), vmul
% 2.56/2.97 ( vd448, vplus( vmul( vd449, X ), vd449 ) ) = vmul( vd448, vmul( vd449,
% 2.56/2.97 vsucc( X ) ) ) }.
% 2.56/2.97 { ! vmul( vmul( vd448, vd449 ), X ) = vmul( vd448, vmul( vd449, X ) ),
% 2.56/2.97 vplus( vmul( vd448, vmul( vd449, X ) ), vmul( vd448, vd449 ) ) = vmul(
% 2.56/2.97 vd448, vplus( vmul( vd449, X ), vd449 ) ) }.
% 2.56/2.97 { ! vmul( vmul( vd448, vd449 ), X ) = vmul( vd448, vmul( vd449, X ) ),
% 2.56/2.97 vplus( vmul( vmul( vd448, vd449 ), X ), vmul( vd448, vd449 ) ) = vplus(
% 2.56/2.97 vmul( vd448, vmul( vd449, X ) ), vmul( vd448, vd449 ) ) }.
% 2.56/2.97 { ! vmul( vmul( vd448, vd449 ), X ) = vmul( vd448, vmul( vd449, X ) ), vmul
% 2.56/2.97 ( vmul( vd448, vd449 ), vsucc( X ) ) = vplus( vmul( vmul( vd448, vd449 )
% 2.56/2.97 , X ), vmul( vd448, vd449 ) ) }.
% 2.56/2.97 { vmul( vd448, vd449 ) = vmul( vd448, vmul( vd449, v1 ) ) }.
% 2.56/2.97 { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 2.56/2.97 { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.97 { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 2.56/2.97 { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 2.56/2.97 { vmul( X, v1 ) = X }.
% 2.56/2.97 { vplus( Y, X ) = vplus( X, Y ) }.
% 2.56/2.97 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 2.56/2.97 { vplus( X, v1 ) = vsucc( X ) }.
% 2.56/2.97
% 2.56/2.97 percentage equality = 1.000000, percentage horn = 1.000000
% 2.56/2.97 This is a pure equality problem
% 2.56/2.97
% 2.56/2.97
% 2.56/2.97
% 2.56/2.97 Options Used:
% 2.56/2.97
% 2.56/2.97 useres = 1
% 2.56/2.97 useparamod = 1
% 2.56/2.97 useeqrefl = 1
% 2.56/2.97 useeqfact = 1
% 2.56/2.97 usefactor = 1
% 2.56/2.97 usesimpsplitting = 0
% 2.56/2.97 usesimpdemod = 5
% 2.56/2.97 usesimpres = 3
% 2.56/2.97
% 2.56/2.97 resimpinuse = 1000
% 2.56/2.97 resimpclauses = 20000
% 2.56/2.97 substype = eqrewr
% 2.56/2.97 backwardsubs = 1
% 2.56/2.97 selectoldest = 5
% 2.56/2.97
% 2.56/2.97 litorderings [0] = split
% 2.56/2.97 litorderings [1] = extend the termordering, first sorting on arguments
% 2.56/2.97
% 2.56/2.97 termordering = kbo
% 2.56/2.97
% 2.56/2.97 litapriori = 0
% 2.56/2.97 termapriori = 1
% 2.56/2.97 litaposteriori = 0
% 2.56/2.97 termaposteriori = 0
% 2.56/2.97 demodaposteriori = 0
% 2.56/2.97 ordereqreflfact = 0
% 2.56/2.97
% 2.56/2.97 litselect = negord
% 2.56/2.97
% 2.56/2.97 maxweight = 15
% 2.56/2.97 maxdepth = 30000
% 2.56/2.97 maxlength = 115
% 2.56/2.97 maxnrvars = 195
% 2.56/2.97 excuselevel = 1
% 2.56/2.97 increasemaxweight = 1
% 2.56/2.97
% 2.56/2.97 maxselected = 10000000
% 2.56/2.97 maxnrclauses = 10000000
% 2.56/2.97
% 2.56/2.97 showgenerated = 0
% 2.56/2.97 showkept = 0
% 2.56/2.97 showselected = 0
% 2.56/2.97 showdeleted = 0
% 2.56/2.97 showresimp = 1
% 2.56/2.97 showstatus = 2000
% 2.56/2.97
% 2.56/2.97 prologoutput = 0
% 2.56/2.97 nrgoals = 5000000
% 2.56/2.97 totalproof = 1
% 2.56/2.97
% 2.56/2.97 Symbols occurring in the translation:
% 2.56/2.97
% 2.56/2.97 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.56/2.97 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 2.56/2.97 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 2.56/2.97 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.56/2.97 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.56/2.97 vd448 [36, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.56/2.97 vd449 [37, 0] (w:1, o:10, a:1, s:1, b:0),
% 2.56/2.97 vmul [38, 2] (w:1, o:55, a:1, s:1, b:0),
% 2.56/2.97 vsucc [39, 1] (w:1, o:30, a:1, s:1, b:0),
% 2.56/2.97 vplus [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 2.56/2.97 v1 [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 2.56/2.97 skol1 [56, 0] (w:1, o:24, a:1, s:1, b:1).
% 2.56/2.97
% 2.56/2.97
% 2.56/2.97 Starting Search:
% 2.56/2.97
% 2.56/2.97 *** allocated 15000 integers for clauses
% 2.56/2.97 *** allocated 22500 integers for clauses
% 2.56/2.97 *** allocated 33750 integers for clauses
% 2.56/2.97 *** allocated 50625 integers for clauses
% 2.56/2.97 *** allocated 75937 integers for clauses
% 2.56/2.97 Resimplifying inuse:
% 2.56/2.97 Done
% 2.56/2.97
% 2.56/2.97
% 2.56/2.97 Bliksems!, er is een bewijs:
% 2.56/2.97 % SZS status Theorem
% 2.56/2.97 % SZS output start Refutation
% 2.56/2.97
% 2.56/2.97 (0) {G0,W11,D4,L1,V0,M1} I { vmul( vd448, vmul( vd449, skol1 ) ) ==> vmul(
% 2.56/2.97 vmul( vd448, vd449 ), skol1 ) }.
% 2.56/2.97 (1) {G0,W13,D5,L1,V0,M1} I { ! vmul( vd448, vmul( vd449, vsucc( skol1 ) ) )
% 2.56/2.97 ==> vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) }.
% 2.56/2.97 (6) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z ) ) ==> vmul(
% 2.56/2.97 X, vplus( Y, Z ) ) }.
% 2.56/2.97 (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.97 (8) {G0,W10,D4,L1,V2,M1} I { vplus( vmul( X, Y ), Y ) ==> vmul( vsucc( X )
% 2.56/2.97 , Y ) }.
% 2.56/2.97 (9) {G0,W10,D4,L1,V2,M1} I { vplus( vmul( X, Y ), X ) ==> vmul( X, vsucc( Y
% 2.56/2.97 ) ) }.
% 2.56/2.97 (11) {G0,W7,D3,L1,V2,M1} I { vplus( Y, X ) = vplus( X, Y ) }.
% 2.56/2.97 (16) {G1,W11,D4,L1,V0,M1} P(0,7) { vmul( vmul( vd448, vd449 ), skol1 ) ==>
% 2.56/2.97 vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 (17) {G2,W11,D4,L1,V0,M1} P(7,0);d(16) { vmul( vd448, vmul( skol1, vd449 )
% 2.56/2.97 ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 (23) {G1,W10,D4,L1,V2,M1} P(9,11) { vplus( X, vmul( X, Y ) ) ==> vmul( X,
% 2.56/2.97 vsucc( Y ) ) }.
% 2.56/2.97 (31) {G2,W10,D4,L1,V2,M1} P(7,23) { vplus( X, vmul( Y, X ) ) ==> vmul( X,
% 2.56/2.97 vsucc( Y ) ) }.
% 2.56/2.97 (36) {G2,W11,D4,L1,V0,M1} P(16,7) { vmul( skol1, vmul( vd448, vd449 ) ) ==>
% 2.56/2.97 vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 (37) {G2,W11,D4,L1,V0,M1} P(7,16) { vmul( vmul( vd449, vd448 ), skol1 ) ==>
% 2.56/2.97 vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 (44) {G3,W11,D4,L1,V0,M1} P(17,7) { vmul( vmul( vd449, skol1 ), vd448 ) ==>
% 2.56/2.97 vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.97 (70) {G1,W13,D4,L1,V3,M1} P(7,6) { vplus( vmul( Y, X ), vmul( X, Z ) ) ==>
% 2.56/2.97 vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.97 (71) {G1,W13,D4,L1,V3,M1} P(7,6) { vplus( vmul( X, Z ), vmul( Y, X ) ) ==>
% 2.56/2.97 vmul( X, vplus( Z, Y ) ) }.
% 2.56/2.97 (72) {G1,W11,D4,L1,V3,M1} P(6,11);d(6) { vmul( X, vplus( Y, Z ) ) = vmul( X
% 2.56/2.97 , vplus( Z, Y ) ) }.
% 2.56/2.97 (82) {G2,W11,D4,L1,V3,M1} P(72,7) { vmul( X, vplus( Z, Y ) ) = vmul( vplus
% 2.56/2.97 ( Y, Z ), X ) }.
% 2.56/2.97 (94) {G3,W13,D5,L1,V3,M1} P(8,82);d(31) { vmul( Z, vmul( Y, vsucc( X ) ) )
% 2.56/2.97 = vmul( vmul( vsucc( X ), Y ), Z ) }.
% 2.56/2.97 (251) {G2,W13,D4,L1,V3,M1} P(7,70) { vplus( vmul( Z, X ), vmul( Y, X ) )
% 2.56/2.97 ==> vmul( X, vplus( Z, Y ) ) }.
% 2.56/2.97 (567) {G4,W11,D4,L1,V0,M1} S(37);d(44) { vmul( vmul( vd449, vd448 ), skol1
% 2.56/2.97 ) ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.97 (569) {G4,W11,D4,L1,V0,M1} S(36);d(44) { vmul( skol1, vmul( vd448, vd449 )
% 2.56/2.97 ) ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.97 (572) {G5,W13,D5,L1,V0,M1} P(567,23);d(251);d(31) { vmul( vd448, vmul(
% 2.56/2.97 vd449, vsucc( skol1 ) ) ) ==> vmul( vmul( vd449, vd448 ), vsucc( skol1 )
% 2.56/2.97 ) }.
% 2.56/2.97 (575) {G6,W13,D4,L1,V0,M1} P(569,31);d(71);d(31);d(572) { vmul( vmul( vd448
% 2.56/2.97 , vd449 ), vsucc( skol1 ) ) ==> vmul( vmul( vd449, vd448 ), vsucc( skol1
% 2.56/2.97 ) ) }.
% 2.56/2.97 (579) {G6,W13,D5,L1,V0,M1} P(572,94) { vmul( vmul( vd449, vd448 ), vsucc(
% 2.56/2.97 skol1 ) ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.97 (582) {G7,W0,D0,L0,V0,M0} P(572,1);d(579);d(575);d(579);q { }.
% 2.56/2.97
% 2.56/2.97
% 2.56/2.97 % SZS output end Refutation
% 2.56/2.97 found a proof!
% 2.56/2.97
% 2.56/2.97
% 2.56/2.97 Unprocessed initial clauses:
% 2.56/2.97
% 2.56/2.97 (584) {G0,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1 ) = vmul(
% 2.56/2.97 vd448, vmul( vd449, skol1 ) ) }.
% 2.56/2.97 (585) {G0,W13,D5,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ), vsucc( skol1 )
% 2.56/2.97 ) = vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 2.56/2.97 (586) {G0,W25,D5,L2,V1,M2} { ! vmul( vmul( vd448, vd449 ), X ) = vmul(
% 2.56/2.97 vd448, vmul( vd449, X ) ), vmul( vd448, vplus( vmul( vd449, X ), vd449 )
% 2.56/2.97 ) = vmul( vd448, vmul( vd449, vsucc( X ) ) ) }.
% 2.56/2.97 (587) {G0,W28,D5,L2,V1,M2} { ! vmul( vmul( vd448, vd449 ), X ) = vmul(
% 2.56/2.97 vd448, vmul( vd449, X ) ), vplus( vmul( vd448, vmul( vd449, X ) ), vmul(
% 2.56/2.97 vd448, vd449 ) ) = vmul( vd448, vplus( vmul( vd449, X ), vd449 ) ) }.
% 2.56/2.97 (588) {G0,W30,D5,L2,V1,M2} { ! vmul( vmul( vd448, vd449 ), X ) = vmul(
% 2.56/2.97 vd448, vmul( vd449, X ) ), vplus( vmul( vmul( vd448, vd449 ), X ), vmul(
% 2.56/2.97 vd448, vd449 ) ) = vplus( vmul( vd448, vmul( vd449, X ) ), vmul( vd448,
% 2.56/2.97 vd449 ) ) }.
% 2.56/2.97 (589) {G0,W27,D5,L2,V1,M2} { ! vmul( vmul( vd448, vd449 ), X ) = vmul(
% 2.56/2.97 vd448, vmul( vd449, X ) ), vmul( vmul( vd448, vd449 ), vsucc( X ) ) =
% 2.56/2.97 vplus( vmul( vmul( vd448, vd449 ), X ), vmul( vd448, vd449 ) ) }.
% 2.56/2.97 (590) {G0,W9,D4,L1,V0,M1} { vmul( vd448, vd449 ) = vmul( vd448, vmul(
% 2.56/2.97 vd449, v1 ) ) }.
% 2.56/2.97 (591) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y
% 2.56/2.97 ), vmul( X, Z ) ) }.
% 2.56/2.97 (592) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.97 (593) {G0,W10,D4,L1,V2,M1} { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ),
% 2.56/2.97 Y ) }.
% 2.56/2.97 (594) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ),
% 2.56/2.97 X ) }.
% 2.56/2.97 (595) {G0,W5,D3,L1,V1,M1} { vmul( X, v1 ) = X }.
% 2.56/2.97 (596) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 2.56/2.97 (597) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 2.56/2.97 ) }.
% 2.56/2.97 (598) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 2.56/2.97
% 2.56/2.97
% 2.56/2.97 Total Proof:
% 2.56/2.97
% 2.56/2.97 eqswap: (599) {G0,W11,D4,L1,V0,M1} { vmul( vd448, vmul( vd449, skol1 ) ) =
% 2.56/2.97 vmul( vmul( vd448, vd449 ), skol1 ) }.
% 2.56/2.97 parent0[0]: (584) {G0,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1
% 2.56/2.97 ) = vmul( vd448, vmul( vd449, skol1 ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (0) {G0,W11,D4,L1,V0,M1} I { vmul( vd448, vmul( vd449, skol1 )
% 2.56/2.97 ) ==> vmul( vmul( vd448, vd449 ), skol1 ) }.
% 2.56/2.97 parent0: (599) {G0,W11,D4,L1,V0,M1} { vmul( vd448, vmul( vd449, skol1 ) )
% 2.56/2.97 = vmul( vmul( vd448, vd449 ), skol1 ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (601) {G0,W13,D5,L1,V0,M1} { ! vmul( vd448, vmul( vd449, vsucc(
% 2.56/2.97 skol1 ) ) ) = vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) }.
% 2.56/2.97 parent0[0]: (585) {G0,W13,D5,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ),
% 2.56/2.97 vsucc( skol1 ) ) = vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (1) {G0,W13,D5,L1,V0,M1} I { ! vmul( vd448, vmul( vd449, vsucc
% 2.56/2.97 ( skol1 ) ) ) ==> vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) }.
% 2.56/2.97 parent0: (601) {G0,W13,D5,L1,V0,M1} { ! vmul( vd448, vmul( vd449, vsucc(
% 2.56/2.97 skol1 ) ) ) = vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (617) {G0,W13,D4,L1,V3,M1} { vplus( vmul( X, Y ), vmul( X, Z ) ) =
% 2.56/2.97 vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.97 parent0[0]: (591) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus
% 2.56/2.97 ( vmul( X, Y ), vmul( X, Z ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 Z := Z
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (6) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z )
% 2.56/2.97 ) ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.97 parent0: (617) {G0,W13,D4,L1,V3,M1} { vplus( vmul( X, Y ), vmul( X, Z ) )
% 2.56/2.97 = vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 Z := Z
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.97 parent0: (592) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 *** allocated 15000 integers for termspace/termends
% 2.56/2.97 eqswap: (650) {G0,W10,D4,L1,V2,M1} { vplus( vmul( X, Y ), Y ) = vmul(
% 2.56/2.97 vsucc( X ), Y ) }.
% 2.56/2.97 parent0[0]: (593) {G0,W10,D4,L1,V2,M1} { vmul( vsucc( X ), Y ) = vplus(
% 2.56/2.97 vmul( X, Y ), Y ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { vplus( vmul( X, Y ), Y ) ==> vmul
% 2.56/2.97 ( vsucc( X ), Y ) }.
% 2.56/2.97 parent0: (650) {G0,W10,D4,L1,V2,M1} { vplus( vmul( X, Y ), Y ) = vmul(
% 2.56/2.97 vsucc( X ), Y ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (668) {G0,W10,D4,L1,V2,M1} { vplus( vmul( X, Y ), X ) = vmul( X,
% 2.56/2.97 vsucc( Y ) ) }.
% 2.56/2.97 parent0[0]: (594) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus(
% 2.56/2.97 vmul( X, Y ), X ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { vplus( vmul( X, Y ), X ) ==> vmul
% 2.56/2.97 ( X, vsucc( Y ) ) }.
% 2.56/2.97 parent0: (668) {G0,W10,D4,L1,V2,M1} { vplus( vmul( X, Y ), X ) = vmul( X,
% 2.56/2.97 vsucc( Y ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (11) {G0,W7,D3,L1,V2,M1} I { vplus( Y, X ) = vplus( X, Y ) }.
% 2.56/2.97 parent0: (596) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (688) {G0,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1 )
% 2.56/2.97 ==> vmul( vd448, vmul( vd449, skol1 ) ) }.
% 2.56/2.97 parent0[0]: (0) {G0,W11,D4,L1,V0,M1} I { vmul( vd448, vmul( vd449, skol1 )
% 2.56/2.97 ) ==> vmul( vmul( vd448, vd449 ), skol1 ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 paramod: (691) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1 )
% 2.56/2.97 ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 parent0[0]: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.97 parent1[0; 6]: (688) {G0,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 2.56/2.97 skol1 ) ==> vmul( vd448, vmul( vd449, skol1 ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := vd448
% 2.56/2.97 Y := vmul( vd449, skol1 )
% 2.56/2.97 end
% 2.56/2.97 substitution1:
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (16) {G1,W11,D4,L1,V0,M1} P(0,7) { vmul( vmul( vd448, vd449 )
% 2.56/2.97 , skol1 ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 parent0: (691) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1 )
% 2.56/2.97 ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (721) {G0,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1 )
% 2.56/2.97 ==> vmul( vd448, vmul( vd449, skol1 ) ) }.
% 2.56/2.97 parent0[0]: (0) {G0,W11,D4,L1,V0,M1} I { vmul( vd448, vmul( vd449, skol1 )
% 2.56/2.97 ) ==> vmul( vmul( vd448, vd449 ), skol1 ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 paramod: (726) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1 )
% 2.56/2.97 ==> vmul( vd448, vmul( skol1, vd449 ) ) }.
% 2.56/2.97 parent0[0]: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.97 parent1[0; 8]: (721) {G0,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 2.56/2.97 skol1 ) ==> vmul( vd448, vmul( vd449, skol1 ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := vd449
% 2.56/2.97 Y := skol1
% 2.56/2.97 end
% 2.56/2.97 substitution1:
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 paramod: (739) {G2,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448 )
% 2.56/2.97 ==> vmul( vd448, vmul( skol1, vd449 ) ) }.
% 2.56/2.97 parent0[0]: (16) {G1,W11,D4,L1,V0,M1} P(0,7) { vmul( vmul( vd448, vd449 ),
% 2.56/2.97 skol1 ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 parent1[0; 1]: (726) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 2.56/2.97 skol1 ) ==> vmul( vd448, vmul( skol1, vd449 ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 end
% 2.56/2.97 substitution1:
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (740) {G2,W11,D4,L1,V0,M1} { vmul( vd448, vmul( skol1, vd449 ) )
% 2.56/2.97 ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 parent0[0]: (739) {G2,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448
% 2.56/2.97 ) ==> vmul( vd448, vmul( skol1, vd449 ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (17) {G2,W11,D4,L1,V0,M1} P(7,0);d(16) { vmul( vd448, vmul(
% 2.56/2.97 skol1, vd449 ) ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 parent0: (740) {G2,W11,D4,L1,V0,M1} { vmul( vd448, vmul( skol1, vd449 ) )
% 2.56/2.97 ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (741) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus( vmul
% 2.56/2.97 ( X, Y ), X ) }.
% 2.56/2.97 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { vplus( vmul( X, Y ), X ) ==> vmul
% 2.56/2.97 ( X, vsucc( Y ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 paramod: (742) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus( X,
% 2.56/2.97 vmul( X, Y ) ) }.
% 2.56/2.97 parent0[0]: (11) {G0,W7,D3,L1,V2,M1} I { vplus( Y, X ) = vplus( X, Y ) }.
% 2.56/2.97 parent1[0; 5]: (741) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==>
% 2.56/2.97 vplus( vmul( X, Y ), X ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := vmul( X, Y )
% 2.56/2.97 end
% 2.56/2.97 substitution1:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (745) {G1,W10,D4,L1,V2,M1} { vplus( X, vmul( X, Y ) ) ==> vmul( X
% 2.56/2.97 , vsucc( Y ) ) }.
% 2.56/2.97 parent0[0]: (742) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus(
% 2.56/2.97 X, vmul( X, Y ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (23) {G1,W10,D4,L1,V2,M1} P(9,11) { vplus( X, vmul( X, Y ) )
% 2.56/2.97 ==> vmul( X, vsucc( Y ) ) }.
% 2.56/2.97 parent0: (745) {G1,W10,D4,L1,V2,M1} { vplus( X, vmul( X, Y ) ) ==> vmul( X
% 2.56/2.97 , vsucc( Y ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (746) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus( X,
% 2.56/2.97 vmul( X, Y ) ) }.
% 2.56/2.97 parent0[0]: (23) {G1,W10,D4,L1,V2,M1} P(9,11) { vplus( X, vmul( X, Y ) )
% 2.56/2.97 ==> vmul( X, vsucc( Y ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 paramod: (748) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus( X,
% 2.56/2.97 vmul( Y, X ) ) }.
% 2.56/2.97 parent0[0]: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.97 parent1[0; 7]: (746) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==>
% 2.56/2.97 vplus( X, vmul( X, Y ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97 substitution1:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (754) {G1,W10,D4,L1,V2,M1} { vplus( X, vmul( Y, X ) ) ==> vmul( X
% 2.56/2.97 , vsucc( Y ) ) }.
% 2.56/2.97 parent0[0]: (748) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus(
% 2.56/2.97 X, vmul( Y, X ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 subsumption: (31) {G2,W10,D4,L1,V2,M1} P(7,23) { vplus( X, vmul( Y, X ) )
% 2.56/2.97 ==> vmul( X, vsucc( Y ) ) }.
% 2.56/2.97 parent0: (754) {G1,W10,D4,L1,V2,M1} { vplus( X, vmul( Y, X ) ) ==> vmul( X
% 2.56/2.97 , vsucc( Y ) ) }.
% 2.56/2.97 substitution0:
% 2.56/2.97 X := X
% 2.56/2.97 Y := Y
% 2.56/2.97 end
% 2.56/2.97 permutation0:
% 2.56/2.97 0 ==> 0
% 2.56/2.97 end
% 2.56/2.97
% 2.56/2.97 eqswap: (755) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448 )
% 2.56/2.97 ==> vmul( vmul( vd448, vd449 ), skol1 ) }.
% 2.56/2.98 parent0[0]: (16) {G1,W11,D4,L1,V0,M1} P(0,7) { vmul( vmul( vd448, vd449 ),
% 2.56/2.98 skol1 ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (758) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448 )
% 2.56/2.98 ==> vmul( skol1, vmul( vd448, vd449 ) ) }.
% 2.56/2.98 parent0[0]: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.98 parent1[0; 6]: (755) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ),
% 2.56/2.98 vd448 ) ==> vmul( vmul( vd448, vd449 ), skol1 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := vmul( vd448, vd449 )
% 2.56/2.98 Y := skol1
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (774) {G1,W11,D4,L1,V0,M1} { vmul( skol1, vmul( vd448, vd449 ) )
% 2.56/2.98 ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 parent0[0]: (758) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448
% 2.56/2.98 ) ==> vmul( skol1, vmul( vd448, vd449 ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (36) {G2,W11,D4,L1,V0,M1} P(16,7) { vmul( skol1, vmul( vd448,
% 2.56/2.98 vd449 ) ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 parent0: (774) {G1,W11,D4,L1,V0,M1} { vmul( skol1, vmul( vd448, vd449 ) )
% 2.56/2.98 ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (788) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448 )
% 2.56/2.98 ==> vmul( vmul( vd448, vd449 ), skol1 ) }.
% 2.56/2.98 parent0[0]: (16) {G1,W11,D4,L1,V0,M1} P(0,7) { vmul( vmul( vd448, vd449 ),
% 2.56/2.98 skol1 ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (792) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448 )
% 2.56/2.98 ==> vmul( vmul( vd449, vd448 ), skol1 ) }.
% 2.56/2.98 parent0[0]: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.98 parent1[0; 7]: (788) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ),
% 2.56/2.98 vd448 ) ==> vmul( vmul( vd448, vd449 ), skol1 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := vd448
% 2.56/2.98 Y := vd449
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (820) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, vd448 ), skol1 )
% 2.56/2.98 ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 parent0[0]: (792) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448
% 2.56/2.98 ) ==> vmul( vmul( vd449, vd448 ), skol1 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (37) {G2,W11,D4,L1,V0,M1} P(7,16) { vmul( vmul( vd449, vd448 )
% 2.56/2.98 , skol1 ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 parent0: (820) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, vd448 ), skol1 )
% 2.56/2.98 ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (821) {G2,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448 )
% 2.56/2.98 ==> vmul( vd448, vmul( skol1, vd449 ) ) }.
% 2.56/2.98 parent0[0]: (17) {G2,W11,D4,L1,V0,M1} P(7,0);d(16) { vmul( vd448, vmul(
% 2.56/2.98 skol1, vd449 ) ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (824) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448 )
% 2.56/2.98 ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 parent0[0]: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.98 parent1[0; 6]: (821) {G2,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ),
% 2.56/2.98 vd448 ) ==> vmul( vd448, vmul( skol1, vd449 ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := vd448
% 2.56/2.98 Y := vmul( skol1, vd449 )
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (44) {G3,W11,D4,L1,V0,M1} P(17,7) { vmul( vmul( vd449, skol1 )
% 2.56/2.98 , vd448 ) ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 parent0: (824) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd449, skol1 ), vd448 )
% 2.56/2.98 ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (838) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vplus(
% 2.56/2.98 vmul( X, Y ), vmul( X, Z ) ) }.
% 2.56/2.98 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z )
% 2.56/2.98 ) ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (840) {G1,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vplus(
% 2.56/2.98 vmul( Y, X ), vmul( X, Z ) ) }.
% 2.56/2.98 parent0[0]: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.98 parent1[0; 7]: (838) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==>
% 2.56/2.98 vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (848) {G1,W13,D4,L1,V3,M1} { vplus( vmul( Y, X ), vmul( X, Z ) )
% 2.56/2.98 ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 parent0[0]: (840) {G1,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==>
% 2.56/2.98 vplus( vmul( Y, X ), vmul( X, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (70) {G1,W13,D4,L1,V3,M1} P(7,6) { vplus( vmul( Y, X ), vmul(
% 2.56/2.98 X, Z ) ) ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 parent0: (848) {G1,W13,D4,L1,V3,M1} { vplus( vmul( Y, X ), vmul( X, Z ) )
% 2.56/2.98 ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (855) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vplus(
% 2.56/2.98 vmul( X, Y ), vmul( X, Z ) ) }.
% 2.56/2.98 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z )
% 2.56/2.98 ) ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (858) {G1,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vplus(
% 2.56/2.98 vmul( X, Y ), vmul( Z, X ) ) }.
% 2.56/2.98 parent0[0]: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.98 parent1[0; 10]: (855) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==>
% 2.56/2.98 vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Z
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (871) {G1,W13,D4,L1,V3,M1} { vplus( vmul( X, Y ), vmul( Z, X ) )
% 2.56/2.98 ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 parent0[0]: (858) {G1,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==>
% 2.56/2.98 vplus( vmul( X, Y ), vmul( Z, X ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (71) {G1,W13,D4,L1,V3,M1} P(7,6) { vplus( vmul( X, Z ), vmul(
% 2.56/2.98 Y, X ) ) ==> vmul( X, vplus( Z, Y ) ) }.
% 2.56/2.98 parent0: (871) {G1,W13,D4,L1,V3,M1} { vplus( vmul( X, Y ), vmul( Z, X ) )
% 2.56/2.98 ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Z
% 2.56/2.98 Z := Y
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (872) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vplus(
% 2.56/2.98 vmul( X, Y ), vmul( X, Z ) ) }.
% 2.56/2.98 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z )
% 2.56/2.98 ) ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (874) {G1,W13,D4,L1,V3,M1} { vmul( X, vplus( Z, Y ) ) ==> vplus(
% 2.56/2.98 vmul( X, Y ), vmul( X, Z ) ) }.
% 2.56/2.98 parent0[0]: (11) {G0,W7,D3,L1,V2,M1} I { vplus( Y, X ) = vplus( X, Y ) }.
% 2.56/2.98 parent1[0; 3]: (872) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==>
% 2.56/2.98 vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := Z
% 2.56/2.98 Y := Y
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (876) {G1,W11,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vmul( X
% 2.56/2.98 , vplus( Z, Y ) ) }.
% 2.56/2.98 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z )
% 2.56/2.98 ) ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 parent1[0; 6]: (874) {G1,W13,D4,L1,V3,M1} { vmul( X, vplus( Z, Y ) ) ==>
% 2.56/2.98 vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Z
% 2.56/2.98 Z := Y
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Z
% 2.56/2.98 Z := Y
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (72) {G1,W11,D4,L1,V3,M1} P(6,11);d(6) { vmul( X, vplus( Y, Z
% 2.56/2.98 ) ) = vmul( X, vplus( Z, Y ) ) }.
% 2.56/2.98 parent0: (876) {G1,W11,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vmul( X
% 2.56/2.98 , vplus( Z, Y ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (877) {G1,W11,D4,L1,V3,M1} { vmul( X, vplus( Z, Y ) ) = vmul(
% 2.56/2.98 vplus( Y, Z ), X ) }.
% 2.56/2.98 parent0[0]: (72) {G1,W11,D4,L1,V3,M1} P(6,11);d(6) { vmul( X, vplus( Y, Z )
% 2.56/2.98 ) = vmul( X, vplus( Z, Y ) ) }.
% 2.56/2.98 parent1[0; 1]: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 X := X
% 2.56/2.98 Y := vplus( Y, Z )
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (82) {G2,W11,D4,L1,V3,M1} P(72,7) { vmul( X, vplus( Z, Y ) ) =
% 2.56/2.98 vmul( vplus( Y, Z ), X ) }.
% 2.56/2.98 parent0: (877) {G1,W11,D4,L1,V3,M1} { vmul( X, vplus( Z, Y ) ) = vmul(
% 2.56/2.98 vplus( Y, Z ), X ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (882) {G2,W11,D4,L1,V3,M1} { vmul( vplus( Z, Y ), X ) = vmul( X,
% 2.56/2.98 vplus( Y, Z ) ) }.
% 2.56/2.98 parent0[0]: (82) {G2,W11,D4,L1,V3,M1} P(72,7) { vmul( X, vplus( Z, Y ) ) =
% 2.56/2.98 vmul( vplus( Y, Z ), X ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Z
% 2.56/2.98 Z := Y
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (888) {G1,W14,D5,L1,V3,M1} { vmul( vmul( vsucc( X ), Y ), Z ) =
% 2.56/2.98 vmul( Z, vplus( Y, vmul( X, Y ) ) ) }.
% 2.56/2.98 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { vplus( vmul( X, Y ), Y ) ==> vmul
% 2.56/2.98 ( vsucc( X ), Y ) }.
% 2.56/2.98 parent1[0; 2]: (882) {G2,W11,D4,L1,V3,M1} { vmul( vplus( Z, Y ), X ) =
% 2.56/2.98 vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 X := Z
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := vmul( X, Y )
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (892) {G2,W13,D5,L1,V3,M1} { vmul( vmul( vsucc( X ), Y ), Z ) =
% 2.56/2.98 vmul( Z, vmul( Y, vsucc( X ) ) ) }.
% 2.56/2.98 parent0[0]: (31) {G2,W10,D4,L1,V2,M1} P(7,23) { vplus( X, vmul( Y, X ) )
% 2.56/2.98 ==> vmul( X, vsucc( Y ) ) }.
% 2.56/2.98 parent1[0; 9]: (888) {G1,W14,D5,L1,V3,M1} { vmul( vmul( vsucc( X ), Y ), Z
% 2.56/2.98 ) = vmul( Z, vplus( Y, vmul( X, Y ) ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := Y
% 2.56/2.98 Y := X
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (893) {G2,W13,D5,L1,V3,M1} { vmul( Z, vmul( Y, vsucc( X ) ) ) =
% 2.56/2.98 vmul( vmul( vsucc( X ), Y ), Z ) }.
% 2.56/2.98 parent0[0]: (892) {G2,W13,D5,L1,V3,M1} { vmul( vmul( vsucc( X ), Y ), Z )
% 2.56/2.98 = vmul( Z, vmul( Y, vsucc( X ) ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (94) {G3,W13,D5,L1,V3,M1} P(8,82);d(31) { vmul( Z, vmul( Y,
% 2.56/2.98 vsucc( X ) ) ) = vmul( vmul( vsucc( X ), Y ), Z ) }.
% 2.56/2.98 parent0: (893) {G2,W13,D5,L1,V3,M1} { vmul( Z, vmul( Y, vsucc( X ) ) ) =
% 2.56/2.98 vmul( vmul( vsucc( X ), Y ), Z ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (894) {G1,W13,D4,L1,V3,M1} { vmul( Y, vplus( X, Z ) ) ==> vplus(
% 2.56/2.98 vmul( X, Y ), vmul( Y, Z ) ) }.
% 2.56/2.98 parent0[0]: (70) {G1,W13,D4,L1,V3,M1} P(7,6) { vplus( vmul( Y, X ), vmul( X
% 2.56/2.98 , Z ) ) ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := Y
% 2.56/2.98 Y := X
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (897) {G1,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vplus(
% 2.56/2.98 vmul( Y, X ), vmul( Z, X ) ) }.
% 2.56/2.98 parent0[0]: (7) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 2.56/2.98 parent1[0; 10]: (894) {G1,W13,D4,L1,V3,M1} { vmul( Y, vplus( X, Z ) ) ==>
% 2.56/2.98 vplus( vmul( X, Y ), vmul( Y, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Z
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 X := Y
% 2.56/2.98 Y := X
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (910) {G1,W13,D4,L1,V3,M1} { vplus( vmul( Y, X ), vmul( Z, X ) )
% 2.56/2.98 ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 parent0[0]: (897) {G1,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==>
% 2.56/2.98 vplus( vmul( Y, X ), vmul( Z, X ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 Z := Z
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (251) {G2,W13,D4,L1,V3,M1} P(7,70) { vplus( vmul( Z, X ), vmul
% 2.56/2.98 ( Y, X ) ) ==> vmul( X, vplus( Z, Y ) ) }.
% 2.56/2.98 parent0: (910) {G1,W13,D4,L1,V3,M1} { vplus( vmul( Y, X ), vmul( Z, X ) )
% 2.56/2.98 ==> vmul( X, vplus( Y, Z ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Z
% 2.56/2.98 Z := Y
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (913) {G3,W11,D4,L1,V0,M1} { vmul( vmul( vd449, vd448 ), skol1 )
% 2.56/2.98 ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 parent0[0]: (44) {G3,W11,D4,L1,V0,M1} P(17,7) { vmul( vmul( vd449, skol1 )
% 2.56/2.98 , vd448 ) ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 parent1[0; 6]: (37) {G2,W11,D4,L1,V0,M1} P(7,16) { vmul( vmul( vd449, vd448
% 2.56/2.98 ), skol1 ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (567) {G4,W11,D4,L1,V0,M1} S(37);d(44) { vmul( vmul( vd449,
% 2.56/2.98 vd448 ), skol1 ) ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 parent0: (913) {G3,W11,D4,L1,V0,M1} { vmul( vmul( vd449, vd448 ), skol1 )
% 2.56/2.98 ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (917) {G3,W11,D4,L1,V0,M1} { vmul( skol1, vmul( vd448, vd449 ) )
% 2.56/2.98 ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 parent0[0]: (44) {G3,W11,D4,L1,V0,M1} P(17,7) { vmul( vmul( vd449, skol1 )
% 2.56/2.98 , vd448 ) ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 parent1[0; 6]: (36) {G2,W11,D4,L1,V0,M1} P(16,7) { vmul( skol1, vmul( vd448
% 2.56/2.98 , vd449 ) ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (569) {G4,W11,D4,L1,V0,M1} S(36);d(44) { vmul( skol1, vmul(
% 2.56/2.98 vd448, vd449 ) ) ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 parent0: (917) {G3,W11,D4,L1,V0,M1} { vmul( skol1, vmul( vd448, vd449 ) )
% 2.56/2.98 ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (920) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus( X,
% 2.56/2.98 vmul( X, Y ) ) }.
% 2.56/2.98 parent0[0]: (23) {G1,W10,D4,L1,V2,M1} P(9,11) { vplus( X, vmul( X, Y ) )
% 2.56/2.98 ==> vmul( X, vsucc( Y ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (923) {G2,W16,D5,L1,V0,M1} { vmul( vmul( vd449, vd448 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vplus( vmul( vd449, vd448 ), vmul( vmul( skol1, vd449 ),
% 2.56/2.98 vd448 ) ) }.
% 2.56/2.98 parent0[0]: (567) {G4,W11,D4,L1,V0,M1} S(37);d(44) { vmul( vmul( vd449,
% 2.56/2.98 vd448 ), skol1 ) ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 parent1[0; 11]: (920) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==>
% 2.56/2.98 vplus( X, vmul( X, Y ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 X := vmul( vd449, vd448 )
% 2.56/2.98 Y := skol1
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (924) {G3,W14,D5,L1,V0,M1} { vmul( vmul( vd449, vd448 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vmul( vd448, vplus( vd449, vmul( skol1, vd449 ) ) ) }.
% 2.56/2.98 parent0[0]: (251) {G2,W13,D4,L1,V3,M1} P(7,70) { vplus( vmul( Z, X ), vmul
% 2.56/2.98 ( Y, X ) ) ==> vmul( X, vplus( Z, Y ) ) }.
% 2.56/2.98 parent1[0; 7]: (923) {G2,W16,D5,L1,V0,M1} { vmul( vmul( vd449, vd448 ),
% 2.56/2.98 vsucc( skol1 ) ) ==> vplus( vmul( vd449, vd448 ), vmul( vmul( skol1,
% 2.56/2.98 vd449 ), vd448 ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := vd448
% 2.56/2.98 Y := vmul( skol1, vd449 )
% 2.56/2.98 Z := vd449
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (925) {G3,W13,D5,L1,V0,M1} { vmul( vmul( vd449, vd448 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 2.56/2.98 parent0[0]: (31) {G2,W10,D4,L1,V2,M1} P(7,23) { vplus( X, vmul( Y, X ) )
% 2.56/2.98 ==> vmul( X, vsucc( Y ) ) }.
% 2.56/2.98 parent1[0; 9]: (924) {G3,W14,D5,L1,V0,M1} { vmul( vmul( vd449, vd448 ),
% 2.56/2.98 vsucc( skol1 ) ) ==> vmul( vd448, vplus( vd449, vmul( skol1, vd449 ) ) )
% 2.56/2.98 }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := vd449
% 2.56/2.98 Y := skol1
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (926) {G3,W13,D5,L1,V0,M1} { vmul( vd448, vmul( vd449, vsucc(
% 2.56/2.98 skol1 ) ) ) ==> vmul( vmul( vd449, vd448 ), vsucc( skol1 ) ) }.
% 2.56/2.98 parent0[0]: (925) {G3,W13,D5,L1,V0,M1} { vmul( vmul( vd449, vd448 ), vsucc
% 2.56/2.98 ( skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (572) {G5,W13,D5,L1,V0,M1} P(567,23);d(251);d(31) { vmul(
% 2.56/2.98 vd448, vmul( vd449, vsucc( skol1 ) ) ) ==> vmul( vmul( vd449, vd448 ),
% 2.56/2.98 vsucc( skol1 ) ) }.
% 2.56/2.98 parent0: (926) {G3,W13,D5,L1,V0,M1} { vmul( vd448, vmul( vd449, vsucc(
% 2.56/2.98 skol1 ) ) ) ==> vmul( vmul( vd449, vd448 ), vsucc( skol1 ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (928) {G2,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus( X,
% 2.56/2.98 vmul( Y, X ) ) }.
% 2.56/2.98 parent0[0]: (31) {G2,W10,D4,L1,V2,M1} P(7,23) { vplus( X, vmul( Y, X ) )
% 2.56/2.98 ==> vmul( X, vsucc( Y ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := X
% 2.56/2.98 Y := Y
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (932) {G3,W16,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vplus( vmul( vd448, vd449 ), vmul( vmul( skol1, vd449 ),
% 2.56/2.98 vd448 ) ) }.
% 2.56/2.98 parent0[0]: (569) {G4,W11,D4,L1,V0,M1} S(36);d(44) { vmul( skol1, vmul(
% 2.56/2.98 vd448, vd449 ) ) ==> vmul( vmul( skol1, vd449 ), vd448 ) }.
% 2.56/2.98 parent1[0; 11]: (928) {G2,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==>
% 2.56/2.98 vplus( X, vmul( Y, X ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 X := vmul( vd448, vd449 )
% 2.56/2.98 Y := skol1
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (933) {G2,W14,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vmul( vd448, vplus( vd449, vmul( skol1, vd449 ) ) ) }.
% 2.56/2.98 parent0[0]: (71) {G1,W13,D4,L1,V3,M1} P(7,6) { vplus( vmul( X, Z ), vmul( Y
% 2.56/2.98 , X ) ) ==> vmul( X, vplus( Z, Y ) ) }.
% 2.56/2.98 parent1[0; 7]: (932) {G3,W16,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 2.56/2.98 vsucc( skol1 ) ) ==> vplus( vmul( vd448, vd449 ), vmul( vmul( skol1,
% 2.56/2.98 vd449 ), vd448 ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := vd448
% 2.56/2.98 Y := vmul( skol1, vd449 )
% 2.56/2.98 Z := vd449
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (934) {G3,W13,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 2.56/2.98 parent0[0]: (31) {G2,W10,D4,L1,V2,M1} P(7,23) { vplus( X, vmul( Y, X ) )
% 2.56/2.98 ==> vmul( X, vsucc( Y ) ) }.
% 2.56/2.98 parent1[0; 9]: (933) {G2,W14,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 2.56/2.98 vsucc( skol1 ) ) ==> vmul( vd448, vplus( vd449, vmul( skol1, vd449 ) ) )
% 2.56/2.98 }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := vd449
% 2.56/2.98 Y := skol1
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (935) {G4,W13,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vmul( vmul( vd449, vd448 ), vsucc( skol1 ) ) }.
% 2.56/2.98 parent0[0]: (572) {G5,W13,D5,L1,V0,M1} P(567,23);d(251);d(31) { vmul( vd448
% 2.56/2.98 , vmul( vd449, vsucc( skol1 ) ) ) ==> vmul( vmul( vd449, vd448 ), vsucc(
% 2.56/2.98 skol1 ) ) }.
% 2.56/2.98 parent1[0; 7]: (934) {G3,W13,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 2.56/2.98 vsucc( skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (575) {G6,W13,D4,L1,V0,M1} P(569,31);d(71);d(31);d(572) { vmul
% 2.56/2.98 ( vmul( vd448, vd449 ), vsucc( skol1 ) ) ==> vmul( vmul( vd449, vd448 ),
% 2.56/2.98 vsucc( skol1 ) ) }.
% 2.56/2.98 parent0: (935) {G4,W13,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vmul( vmul( vd449, vd448 ), vsucc( skol1 ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (937) {G5,W13,D5,L1,V0,M1} { vmul( vmul( vd449, vd448 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 2.56/2.98 parent0[0]: (572) {G5,W13,D5,L1,V0,M1} P(567,23);d(251);d(31) { vmul( vd448
% 2.56/2.98 , vmul( vd449, vsucc( skol1 ) ) ) ==> vmul( vmul( vd449, vd448 ), vsucc(
% 2.56/2.98 skol1 ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (939) {G4,W13,D5,L1,V0,M1} { vmul( vmul( vd449, vd448 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.98 parent0[0]: (94) {G3,W13,D5,L1,V3,M1} P(8,82);d(31) { vmul( Z, vmul( Y,
% 2.56/2.98 vsucc( X ) ) ) = vmul( vmul( vsucc( X ), Y ), Z ) }.
% 2.56/2.98 parent1[0; 7]: (937) {G5,W13,D5,L1,V0,M1} { vmul( vmul( vd449, vd448 ),
% 2.56/2.98 vsucc( skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 X := skol1
% 2.56/2.98 Y := vd449
% 2.56/2.98 Z := vd448
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (579) {G6,W13,D5,L1,V0,M1} P(572,94) { vmul( vmul( vd449,
% 2.56/2.98 vd448 ), vsucc( skol1 ) ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448
% 2.56/2.98 ) }.
% 2.56/2.98 parent0: (939) {G4,W13,D5,L1,V0,M1} { vmul( vmul( vd449, vd448 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 0 ==> 0
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqswap: (942) {G0,W13,D5,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ), vsucc(
% 2.56/2.98 skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 2.56/2.98 parent0[0]: (1) {G0,W13,D5,L1,V0,M1} I { ! vmul( vd448, vmul( vd449, vsucc
% 2.56/2.98 ( skol1 ) ) ) ==> vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (946) {G1,W13,D4,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ), vsucc
% 2.56/2.98 ( skol1 ) ) ==> vmul( vmul( vd449, vd448 ), vsucc( skol1 ) ) }.
% 2.56/2.98 parent0[0]: (572) {G5,W13,D5,L1,V0,M1} P(567,23);d(251);d(31) { vmul( vd448
% 2.56/2.98 , vmul( vd449, vsucc( skol1 ) ) ) ==> vmul( vmul( vd449, vd448 ), vsucc(
% 2.56/2.98 skol1 ) ) }.
% 2.56/2.98 parent1[0; 8]: (942) {G0,W13,D5,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ),
% 2.56/2.98 vsucc( skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (947) {G2,W13,D5,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ), vsucc
% 2.56/2.98 ( skol1 ) ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.98 parent0[0]: (579) {G6,W13,D5,L1,V0,M1} P(572,94) { vmul( vmul( vd449, vd448
% 2.56/2.98 ), vsucc( skol1 ) ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.98 parent1[0; 8]: (946) {G1,W13,D4,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ),
% 2.56/2.98 vsucc( skol1 ) ) ==> vmul( vmul( vd449, vd448 ), vsucc( skol1 ) ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (948) {G3,W13,D5,L1,V0,M1} { ! vmul( vmul( vd449, vd448 ), vsucc
% 2.56/2.98 ( skol1 ) ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.98 parent0[0]: (575) {G6,W13,D4,L1,V0,M1} P(569,31);d(71);d(31);d(572) { vmul
% 2.56/2.98 ( vmul( vd448, vd449 ), vsucc( skol1 ) ) ==> vmul( vmul( vd449, vd448 ),
% 2.56/2.98 vsucc( skol1 ) ) }.
% 2.56/2.98 parent1[0; 2]: (947) {G2,W13,D5,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ),
% 2.56/2.98 vsucc( skol1 ) ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 paramod: (949) {G4,W13,D5,L1,V0,M1} { ! vmul( vmul( vsucc( skol1 ), vd449
% 2.56/2.98 ), vd448 ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.98 parent0[0]: (579) {G6,W13,D5,L1,V0,M1} P(572,94) { vmul( vmul( vd449, vd448
% 2.56/2.98 ), vsucc( skol1 ) ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.98 parent1[0; 2]: (948) {G3,W13,D5,L1,V0,M1} { ! vmul( vmul( vd449, vd448 ),
% 2.56/2.98 vsucc( skol1 ) ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 substitution1:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 eqrefl: (950) {G0,W0,D0,L0,V0,M0} { }.
% 2.56/2.98 parent0[0]: (949) {G4,W13,D5,L1,V0,M1} { ! vmul( vmul( vsucc( skol1 ),
% 2.56/2.98 vd449 ), vd448 ) ==> vmul( vmul( vsucc( skol1 ), vd449 ), vd448 ) }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 subsumption: (582) {G7,W0,D0,L0,V0,M0} P(572,1);d(579);d(575);d(579);q {
% 2.56/2.98 }.
% 2.56/2.98 parent0: (950) {G0,W0,D0,L0,V0,M0} { }.
% 2.56/2.98 substitution0:
% 2.56/2.98 end
% 2.56/2.98 permutation0:
% 2.56/2.98 end
% 2.56/2.98
% 2.56/2.98 Proof check complete!
% 2.56/2.98
% 2.56/2.98 Memory use:
% 2.56/2.98
% 2.56/2.98 space for terms: 8699
% 2.56/2.98 space for clauses: 57610
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 clauses generated: 426812
% 2.56/2.98 clauses kept: 583
% 2.56/2.98 clauses selected: 510
% 2.56/2.98 clauses deleted: 87
% 2.56/2.98 clauses inuse deleted: 22
% 2.56/2.98
% 2.56/2.98 subsentry: 30998
% 2.56/2.98 literals s-matched: 26474
% 2.56/2.98 literals matched: 26243
% 2.56/2.98 full subsumption: 0
% 2.56/2.98
% 2.56/2.98 checksum: -795187538
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 Bliksem ended
%------------------------------------------------------------------------------