TSTP Solution File: NUM849+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 06:27:03 EDT 2022
% Result : Theorem 1.01s 1.36s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jul 6 23:38:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.01/1.36 *** allocated 10000 integers for termspace/termends
% 1.01/1.36 *** allocated 10000 integers for clauses
% 1.01/1.36 *** allocated 10000 integers for justifications
% 1.01/1.36 Bliksem 1.12
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 Automatic Strategy Selection
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 Clauses:
% 1.01/1.36
% 1.01/1.36 { vmul( vmul( vd448, vd449 ), skol1 ) = vmul( vd448, vmul( vd449, skol1 ) )
% 1.01/1.36 }.
% 1.01/1.36 { ! vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) = vmul( vd448, vmul( vd449
% 1.01/1.36 , vsucc( skol1 ) ) ) }.
% 1.01/1.36 { ! vmul( vmul( vd448, vd449 ), X ) = vmul( vd448, vmul( vd449, X ) ), vmul
% 1.01/1.36 ( vd448, vplus( vmul( vd449, X ), vd449 ) ) = vmul( vd448, vmul( vd449,
% 1.01/1.36 vsucc( X ) ) ) }.
% 1.01/1.36 { ! vmul( vmul( vd448, vd449 ), X ) = vmul( vd448, vmul( vd449, X ) ),
% 1.01/1.36 vplus( vmul( vd448, vmul( vd449, X ) ), vmul( vd448, vd449 ) ) = vmul(
% 1.01/1.36 vd448, vplus( vmul( vd449, X ), vd449 ) ) }.
% 1.01/1.36 { ! vmul( vmul( vd448, vd449 ), X ) = vmul( vd448, vmul( vd449, X ) ),
% 1.01/1.36 vplus( vmul( vmul( vd448, vd449 ), X ), vmul( vd448, vd449 ) ) = vplus(
% 1.01/1.36 vmul( vd448, vmul( vd449, X ) ), vmul( vd448, vd449 ) ) }.
% 1.01/1.36 { ! vmul( vmul( vd448, vd449 ), X ) = vmul( vd448, vmul( vd449, X ) ), vmul
% 1.01/1.36 ( vmul( vd448, vd449 ), vsucc( X ) ) = vplus( vmul( vmul( vd448, vd449 )
% 1.01/1.36 , X ), vmul( vd448, vd449 ) ) }.
% 1.01/1.36 { vmul( vd448, vd449 ) = vmul( vd448, vmul( vd449, v1 ) ) }.
% 1.01/1.36 { vmul( vmul( vd448, vd449 ), v1 ) = vmul( vd448, vd449 ) }.
% 1.01/1.36 { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 1.01/1.36 { vmul( X, Y ) = vmul( Y, X ) }.
% 1.01/1.36 { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 1.01/1.36 { vmul( v1, X ) = X }.
% 1.01/1.36 { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 1.01/1.36 { vmul( X, v1 ) = X }.
% 1.01/1.36 { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 1.01/1.36 { ! greater( X, Y ), geq( X, vplus( Y, v1 ) ) }.
% 1.01/1.36 { geq( X, v1 ) }.
% 1.01/1.36 { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X, Z ), vplus( Y, T ) ) }.
% 1.01/1.36 { ! greater( Z, T ), ! geq( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 1.01/1.36 }.
% 1.01/1.36 { ! geq( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 1.01/1.36 }.
% 1.01/1.36 { ! greater( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T
% 1.01/1.36 ) ) }.
% 1.01/1.36 { ! less( vplus( X, Z ), vplus( Y, Z ) ), less( X, Y ) }.
% 1.01/1.36 { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 1.01/1.36 { ! greater( vplus( X, Z ), vplus( Y, Z ) ), greater( X, Y ) }.
% 1.01/1.36 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 1.01/1.36 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 1.01/1.36 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 1.01/1.36 { greater( vplus( X, Y ), X ) }.
% 1.01/1.36 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 1.01/1.36 { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 1.01/1.36 { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 1.01/1.36 { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 1.01/1.36 { ! leq( X, Y ), geq( Y, X ) }.
% 1.01/1.36 { ! geq( X, Y ), leq( Y, X ) }.
% 1.01/1.36 { ! leq( Y, X ), less( Y, X ), Y = X }.
% 1.01/1.36 { ! less( Y, X ), leq( Y, X ) }.
% 1.01/1.36 { ! Y = X, leq( Y, X ) }.
% 1.01/1.36 { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 1.01/1.36 { ! greater( Y, X ), geq( Y, X ) }.
% 1.01/1.36 { ! Y = X, geq( Y, X ) }.
% 1.01/1.36 { ! less( X, Y ), greater( Y, X ) }.
% 1.01/1.36 { ! greater( X, Y ), less( Y, X ) }.
% 1.01/1.36 { X = Y, greater( X, Y ), less( X, Y ) }.
% 1.01/1.36 { ! X = Y, ! less( X, Y ) }.
% 1.01/1.36 { ! greater( X, Y ), ! less( X, Y ) }.
% 1.01/1.36 { ! X = Y, ! greater( X, Y ) }.
% 1.01/1.36 { ! less( Y, X ), X = vplus( Y, skol2( X, Y ) ) }.
% 1.01/1.36 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 1.01/1.36 { ! greater( Y, X ), Y = vplus( X, skol3( X, Y ) ) }.
% 1.01/1.36 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 1.01/1.36 { X = Y, X = vplus( Y, skol4( X, Y ) ), Y = vplus( X, skol5( X, Y ) ) }.
% 1.01/1.36 { ! X = Y, ! Y = vplus( X, Z ) }.
% 1.01/1.36 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 1.01/1.36 { ! X = Y, ! X = vplus( Y, Z ) }.
% 1.01/1.36 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 1.01/1.36 { ! Y = vplus( X, Y ) }.
% 1.01/1.36 { vplus( Y, X ) = vplus( X, Y ) }.
% 1.01/1.36 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 1.01/1.36 { vplus( v1, X ) = vsucc( X ) }.
% 1.01/1.36 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 1.01/1.36 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 1.01/1.36 { vplus( X, v1 ) = vsucc( X ) }.
% 1.01/1.36 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 1.01/1.36 { ! vsucc( X ) = X }.
% 1.01/1.36 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 1.01/1.36 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 1.01/1.36 { ! vsucc( X ) = v1 }.
% 1.01/1.36
% 1.01/1.36 percentage equality = 0.463415, percentage horn = 0.924242
% 1.01/1.36 This is a problem with some equality
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 Options Used:
% 1.01/1.36
% 1.01/1.36 useres = 1
% 1.01/1.36 useparamod = 1
% 1.01/1.36 useeqrefl = 1
% 1.01/1.36 useeqfact = 1
% 1.01/1.36 usefactor = 1
% 1.01/1.36 usesimpsplitting = 0
% 1.01/1.36 usesimpdemod = 5
% 1.01/1.36 usesimpres = 3
% 1.01/1.36
% 1.01/1.36 resimpinuse = 1000
% 1.01/1.36 resimpclauses = 20000
% 1.01/1.36 substype = eqrewr
% 1.01/1.36 backwardsubs = 1
% 1.01/1.36 selectoldest = 5
% 1.01/1.36
% 1.01/1.36 litorderings [0] = split
% 1.01/1.36 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.36
% 1.01/1.36 termordering = kbo
% 1.01/1.36
% 1.01/1.36 litapriori = 0
% 1.01/1.36 termapriori = 1
% 1.01/1.36 litaposteriori = 0
% 1.01/1.36 termaposteriori = 0
% 1.01/1.36 demodaposteriori = 0
% 1.01/1.36 ordereqreflfact = 0
% 1.01/1.36
% 1.01/1.36 litselect = negord
% 1.01/1.36
% 1.01/1.36 maxweight = 15
% 1.01/1.36 maxdepth = 30000
% 1.01/1.36 maxlength = 115
% 1.01/1.36 maxnrvars = 195
% 1.01/1.36 excuselevel = 1
% 1.01/1.36 increasemaxweight = 1
% 1.01/1.36
% 1.01/1.36 maxselected = 10000000
% 1.01/1.36 maxnrclauses = 10000000
% 1.01/1.36
% 1.01/1.36 showgenerated = 0
% 1.01/1.36 showkept = 0
% 1.01/1.36 showselected = 0
% 1.01/1.36 showdeleted = 0
% 1.01/1.36 showresimp = 1
% 1.01/1.36 showstatus = 2000
% 1.01/1.36
% 1.01/1.36 prologoutput = 0
% 1.01/1.36 nrgoals = 5000000
% 1.01/1.36 totalproof = 1
% 1.01/1.36
% 1.01/1.36 Symbols occurring in the translation:
% 1.01/1.36
% 1.01/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.36 . [1, 2] (w:1, o:109, a:1, s:1, b:0),
% 1.01/1.36 ! [4, 1] (w:0, o:102, a:1, s:1, b:0),
% 1.01/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.36 vd448 [36, 0] (w:1, o:74, a:1, s:1, b:0),
% 1.01/1.36 vd449 [37, 0] (w:1, o:75, a:1, s:1, b:0),
% 1.01/1.36 vmul [38, 2] (w:1, o:133, a:1, s:1, b:0),
% 1.01/1.36 vsucc [39, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.01/1.36 vplus [41, 2] (w:1, o:134, a:1, s:1, b:0),
% 1.01/1.36 v1 [42, 0] (w:1, o:77, a:1, s:1, b:0),
% 1.01/1.36 less [55, 2] (w:1, o:135, a:1, s:1, b:0),
% 1.01/1.36 leq [56, 2] (w:1, o:136, a:1, s:1, b:0),
% 1.01/1.36 greater [59, 2] (w:1, o:137, a:1, s:1, b:0),
% 1.01/1.36 geq [60, 2] (w:1, o:138, a:1, s:1, b:0),
% 1.01/1.36 vskolem2 [131, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.01/1.36 skol1 [138, 0] (w:1, o:101, a:1, s:1, b:1),
% 1.01/1.36 skol2 [139, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.01/1.36 skol3 [140, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.01/1.36 skol4 [141, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.01/1.36 skol5 [142, 2] (w:1, o:142, a:1, s:1, b:1).
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 Starting Search:
% 1.01/1.36
% 1.01/1.36 *** allocated 15000 integers for clauses
% 1.01/1.36 *** allocated 22500 integers for clauses
% 1.01/1.36 *** allocated 33750 integers for clauses
% 1.01/1.36 *** allocated 50625 integers for clauses
% 1.01/1.36 *** allocated 15000 integers for termspace/termends
% 1.01/1.36 *** allocated 75937 integers for clauses
% 1.01/1.36 *** allocated 22500 integers for termspace/termends
% 1.01/1.36 Resimplifying inuse:
% 1.01/1.36 Done
% 1.01/1.36
% 1.01/1.36 *** allocated 113905 integers for clauses
% 1.01/1.36 *** allocated 33750 integers for termspace/termends
% 1.01/1.36
% 1.01/1.36 Intermediate Status:
% 1.01/1.36 Generated: 4774
% 1.01/1.36 Kept: 2005
% 1.01/1.36 Inuse: 155
% 1.01/1.36 Deleted: 10
% 1.01/1.36 Deletedinuse: 3
% 1.01/1.36
% 1.01/1.36 Resimplifying inuse:
% 1.01/1.36 Done
% 1.01/1.36
% 1.01/1.36 *** allocated 170857 integers for clauses
% 1.01/1.36 *** allocated 50625 integers for termspace/termends
% 1.01/1.36 Resimplifying inuse:
% 1.01/1.36 Done
% 1.01/1.36
% 1.01/1.36 *** allocated 256285 integers for clauses
% 1.01/1.36 *** allocated 75937 integers for termspace/termends
% 1.01/1.36
% 1.01/1.36 Intermediate Status:
% 1.01/1.36 Generated: 11826
% 1.01/1.36 Kept: 4012
% 1.01/1.36 Inuse: 209
% 1.01/1.36 Deleted: 10
% 1.01/1.36 Deletedinuse: 3
% 1.01/1.36
% 1.01/1.36 Resimplifying inuse:
% 1.01/1.36 Done
% 1.01/1.36
% 1.01/1.36 Resimplifying inuse:
% 1.01/1.36 Done
% 1.01/1.36
% 1.01/1.36 *** allocated 384427 integers for clauses
% 1.01/1.36 *** allocated 113905 integers for termspace/termends
% 1.01/1.36
% 1.01/1.36 Intermediate Status:
% 1.01/1.36 Generated: 18306
% 1.01/1.36 Kept: 6027
% 1.01/1.36 Inuse: 300
% 1.01/1.36 Deleted: 12
% 1.01/1.36 Deletedinuse: 3
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 Bliksems!, er is een bewijs:
% 1.01/1.36 % SZS status Theorem
% 1.01/1.36 % SZS output start Refutation
% 1.01/1.36
% 1.01/1.36 (0) {G0,W11,D4,L1,V0,M1} I { vmul( vd448, vmul( vd449, skol1 ) ) ==> vmul(
% 1.01/1.36 vmul( vd448, vd449 ), skol1 ) }.
% 1.01/1.36 (1) {G0,W13,D5,L1,V0,M1} I { ! vmul( vd448, vmul( vd449, vsucc( skol1 ) ) )
% 1.01/1.36 ==> vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) }.
% 1.01/1.36 (7) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z ) ) ==> vmul(
% 1.01/1.36 X, vplus( Y, Z ) ) }.
% 1.01/1.36 (8) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 1.01/1.36 (12) {G0,W5,D3,L1,V1,M1} I { vmul( X, v1 ) ==> X }.
% 1.01/1.36 (56) {G0,W6,D3,L1,V1,M1} I { vplus( v1, X ) ==> vsucc( X ) }.
% 1.01/1.36 (86) {G1,W10,D4,L1,V2,M1} P(12,7);d(56) { vplus( X, vmul( X, Y ) ) ==> vmul
% 1.01/1.36 ( X, vsucc( Y ) ) }.
% 1.01/1.36 (104) {G1,W13,D4,L1,V3,M1} P(8,7) { vplus( vmul( X, Z ), vmul( Y, X ) ) ==>
% 1.01/1.36 vmul( X, vplus( Z, Y ) ) }.
% 1.01/1.36 (107) {G1,W11,D4,L1,V0,M1} P(8,0) { vmul( vmul( vd448, vd449 ), skol1 ) ==>
% 1.01/1.36 vmul( vmul( vd449, skol1 ), vd448 ) }.
% 1.01/1.36 (6047) {G2,W0,D0,L0,V0,M0} P(107,86);d(104);d(86);r(1) { }.
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 % SZS output end Refutation
% 1.01/1.36 found a proof!
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 Unprocessed initial clauses:
% 1.01/1.36
% 1.01/1.36 (6049) {G0,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1 ) = vmul(
% 1.01/1.36 vd448, vmul( vd449, skol1 ) ) }.
% 1.01/1.36 (6050) {G0,W13,D5,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ), vsucc( skol1 )
% 1.01/1.36 ) = vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 1.01/1.36 (6051) {G0,W25,D5,L2,V1,M2} { ! vmul( vmul( vd448, vd449 ), X ) = vmul(
% 1.01/1.36 vd448, vmul( vd449, X ) ), vmul( vd448, vplus( vmul( vd449, X ), vd449 )
% 1.01/1.36 ) = vmul( vd448, vmul( vd449, vsucc( X ) ) ) }.
% 1.01/1.36 (6052) {G0,W28,D5,L2,V1,M2} { ! vmul( vmul( vd448, vd449 ), X ) = vmul(
% 1.01/1.36 vd448, vmul( vd449, X ) ), vplus( vmul( vd448, vmul( vd449, X ) ), vmul(
% 1.01/1.36 vd448, vd449 ) ) = vmul( vd448, vplus( vmul( vd449, X ), vd449 ) ) }.
% 1.01/1.36 (6053) {G0,W30,D5,L2,V1,M2} { ! vmul( vmul( vd448, vd449 ), X ) = vmul(
% 1.01/1.36 vd448, vmul( vd449, X ) ), vplus( vmul( vmul( vd448, vd449 ), X ), vmul(
% 1.01/1.36 vd448, vd449 ) ) = vplus( vmul( vd448, vmul( vd449, X ) ), vmul( vd448,
% 1.01/1.36 vd449 ) ) }.
% 1.01/1.36 (6054) {G0,W27,D5,L2,V1,M2} { ! vmul( vmul( vd448, vd449 ), X ) = vmul(
% 1.01/1.36 vd448, vmul( vd449, X ) ), vmul( vmul( vd448, vd449 ), vsucc( X ) ) =
% 1.01/1.36 vplus( vmul( vmul( vd448, vd449 ), X ), vmul( vd448, vd449 ) ) }.
% 1.01/1.36 (6055) {G0,W9,D4,L1,V0,M1} { vmul( vd448, vd449 ) = vmul( vd448, vmul(
% 1.01/1.36 vd449, v1 ) ) }.
% 1.01/1.36 (6056) {G0,W9,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), v1 ) = vmul(
% 1.01/1.36 vd448, vd449 ) }.
% 1.01/1.36 (6057) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y
% 1.01/1.36 ), vmul( X, Z ) ) }.
% 1.01/1.36 (6058) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 1.01/1.36 (6059) {G0,W10,D4,L1,V2,M1} { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y )
% 1.01/1.36 , Y ) }.
% 1.01/1.36 (6060) {G0,W5,D3,L1,V1,M1} { vmul( v1, X ) = X }.
% 1.01/1.36 (6061) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y )
% 1.01/1.36 , X ) }.
% 1.01/1.36 (6062) {G0,W5,D3,L1,V1,M1} { vmul( X, v1 ) = X }.
% 1.01/1.36 (6063) {G0,W8,D3,L2,V2,M2} { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 1.01/1.36 (6064) {G0,W8,D3,L2,V2,M2} { ! greater( X, Y ), geq( X, vplus( Y, v1 ) )
% 1.01/1.36 }.
% 1.01/1.36 (6065) {G0,W3,D2,L1,V1,M1} { geq( X, v1 ) }.
% 1.01/1.36 (6066) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X
% 1.01/1.36 , Z ), vplus( Y, T ) ) }.
% 1.01/1.36 (6067) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! geq( X, Y ), greater(
% 1.01/1.36 vplus( X, Z ), vplus( Y, T ) ) }.
% 1.01/1.36 (6068) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! greater( X, Y ), greater(
% 1.01/1.36 vplus( X, Z ), vplus( Y, T ) ) }.
% 1.01/1.36 (6069) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y ),
% 1.01/1.36 greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 1.01/1.36 (6070) {G0,W10,D3,L2,V3,M2} { ! less( vplus( X, Z ), vplus( Y, Z ) ), less
% 1.01/1.36 ( X, Y ) }.
% 1.01/1.36 (6071) {G0,W10,D3,L2,V3,M2} { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 1.01/1.36 (6072) {G0,W10,D3,L2,V3,M2} { ! greater( vplus( X, Z ), vplus( Y, Z ) ),
% 1.01/1.36 greater( X, Y ) }.
% 1.01/1.36 (6073) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus(
% 1.01/1.36 Y, Z ) ) }.
% 1.01/1.36 (6074) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 1.01/1.36 (6075) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 1.01/1.36 vplus( Y, Z ) ) }.
% 1.01/1.36 (6076) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 1.01/1.36 (6077) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 1.01/1.36 (6078) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 1.01/1.36 }.
% 1.01/1.36 (6079) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 1.01/1.36 }.
% 1.01/1.36 (6080) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 1.01/1.36 }.
% 1.01/1.36 (6081) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 1.01/1.36 (6082) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.01/1.36 (6083) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X }.
% 1.01/1.36 (6084) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 1.01/1.36 (6085) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 1.01/1.36 (6086) {G0,W9,D2,L3,V2,M3} { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 1.01/1.36 (6087) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 1.01/1.36 (6088) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 1.01/1.36 (6089) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 1.01/1.36 (6090) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 1.01/1.36 (6091) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 1.01/1.36 (6092) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 1.01/1.36 (6093) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 1.01/1.36 (6094) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 1.01/1.36 (6095) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol2( X, Y )
% 1.01/1.36 ) }.
% 1.01/1.36 (6096) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 1.01/1.36 (6097) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol3( X, Y
% 1.01/1.36 ) ) }.
% 1.01/1.36 (6098) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 1.01/1.36 (6099) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol4( X, Y ) ), Y =
% 1.01/1.36 vplus( X, skol5( X, Y ) ) }.
% 1.01/1.36 (6100) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 1.01/1.36 (6101) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 1.01/1.36 (6102) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 1.01/1.36 (6103) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 1.01/1.36 (6104) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 1.01/1.36 (6105) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 1.01/1.36 (6106) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 1.01/1.36 ) }.
% 1.01/1.36 (6107) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 1.01/1.36 (6108) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 1.01/1.36 ( Y, Z ) ) }.
% 1.01/1.36 (6109) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 1.01/1.36 ) }.
% 1.01/1.36 (6110) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 1.01/1.36 (6111) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 1.01/1.36 (6112) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 1.01/1.36 (6113) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 1.01/1.36 (6114) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 1.01/1.36 (6115) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 Total Proof:
% 1.01/1.36
% 1.01/1.36 eqswap: (6116) {G0,W11,D4,L1,V0,M1} { vmul( vd448, vmul( vd449, skol1 ) )
% 1.01/1.36 = vmul( vmul( vd448, vd449 ), skol1 ) }.
% 1.01/1.36 parent0[0]: (6049) {G0,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 1.01/1.36 skol1 ) = vmul( vd448, vmul( vd449, skol1 ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 subsumption: (0) {G0,W11,D4,L1,V0,M1} I { vmul( vd448, vmul( vd449, skol1 )
% 1.01/1.36 ) ==> vmul( vmul( vd448, vd449 ), skol1 ) }.
% 1.01/1.36 parent0: (6116) {G0,W11,D4,L1,V0,M1} { vmul( vd448, vmul( vd449, skol1 ) )
% 1.01/1.36 = vmul( vmul( vd448, vd449 ), skol1 ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 end
% 1.01/1.36 permutation0:
% 1.01/1.36 0 ==> 0
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 eqswap: (6118) {G0,W13,D5,L1,V0,M1} { ! vmul( vd448, vmul( vd449, vsucc(
% 1.01/1.36 skol1 ) ) ) = vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) }.
% 1.01/1.36 parent0[0]: (6050) {G0,W13,D5,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ),
% 1.01/1.36 vsucc( skol1 ) ) = vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 subsumption: (1) {G0,W13,D5,L1,V0,M1} I { ! vmul( vd448, vmul( vd449, vsucc
% 1.01/1.36 ( skol1 ) ) ) ==> vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) }.
% 1.01/1.36 parent0: (6118) {G0,W13,D5,L1,V0,M1} { ! vmul( vd448, vmul( vd449, vsucc(
% 1.01/1.36 skol1 ) ) ) = vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 end
% 1.01/1.36 permutation0:
% 1.01/1.36 0 ==> 0
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 eqswap: (6135) {G0,W13,D4,L1,V3,M1} { vplus( vmul( X, Y ), vmul( X, Z ) )
% 1.01/1.36 = vmul( X, vplus( Y, Z ) ) }.
% 1.01/1.36 parent0[0]: (6057) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus
% 1.01/1.36 ( vmul( X, Y ), vmul( X, Z ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 Z := Z
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 subsumption: (7) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z )
% 1.01/1.36 ) ==> vmul( X, vplus( Y, Z ) ) }.
% 1.01/1.36 parent0: (6135) {G0,W13,D4,L1,V3,M1} { vplus( vmul( X, Y ), vmul( X, Z ) )
% 1.01/1.36 = vmul( X, vplus( Y, Z ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 Z := Z
% 1.01/1.36 end
% 1.01/1.36 permutation0:
% 1.01/1.36 0 ==> 0
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 subsumption: (8) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 1.01/1.36 parent0: (6058) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 end
% 1.01/1.36 permutation0:
% 1.01/1.36 0 ==> 0
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 subsumption: (12) {G0,W5,D3,L1,V1,M1} I { vmul( X, v1 ) ==> X }.
% 1.01/1.36 parent0: (6062) {G0,W5,D3,L1,V1,M1} { vmul( X, v1 ) = X }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 end
% 1.01/1.36 permutation0:
% 1.01/1.36 0 ==> 0
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 subsumption: (56) {G0,W6,D3,L1,V1,M1} I { vplus( v1, X ) ==> vsucc( X ) }.
% 1.01/1.36 parent0: (6107) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 end
% 1.01/1.36 permutation0:
% 1.01/1.36 0 ==> 0
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 eqswap: (6234) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vplus(
% 1.01/1.36 vmul( X, Y ), vmul( X, Z ) ) }.
% 1.01/1.36 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z )
% 1.01/1.36 ) ==> vmul( X, vplus( Y, Z ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 Z := Z
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 paramod: (6236) {G1,W11,D4,L1,V2,M1} { vmul( X, vplus( v1, Y ) ) ==> vplus
% 1.01/1.36 ( X, vmul( X, Y ) ) }.
% 1.01/1.36 parent0[0]: (12) {G0,W5,D3,L1,V1,M1} I { vmul( X, v1 ) ==> X }.
% 1.01/1.36 parent1[0; 7]: (6234) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==>
% 1.01/1.36 vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 end
% 1.01/1.36 substitution1:
% 1.01/1.36 X := X
% 1.01/1.36 Y := v1
% 1.01/1.36 Z := Y
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 paramod: (6238) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus( X
% 1.01/1.36 , vmul( X, Y ) ) }.
% 1.01/1.36 parent0[0]: (56) {G0,W6,D3,L1,V1,M1} I { vplus( v1, X ) ==> vsucc( X ) }.
% 1.01/1.36 parent1[0; 3]: (6236) {G1,W11,D4,L1,V2,M1} { vmul( X, vplus( v1, Y ) ) ==>
% 1.01/1.36 vplus( X, vmul( X, Y ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := Y
% 1.01/1.36 end
% 1.01/1.36 substitution1:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 eqswap: (6239) {G1,W10,D4,L1,V2,M1} { vplus( X, vmul( X, Y ) ) ==> vmul( X
% 1.01/1.36 , vsucc( Y ) ) }.
% 1.01/1.36 parent0[0]: (6238) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus
% 1.01/1.36 ( X, vmul( X, Y ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 subsumption: (86) {G1,W10,D4,L1,V2,M1} P(12,7);d(56) { vplus( X, vmul( X, Y
% 1.01/1.36 ) ) ==> vmul( X, vsucc( Y ) ) }.
% 1.01/1.36 parent0: (6239) {G1,W10,D4,L1,V2,M1} { vplus( X, vmul( X, Y ) ) ==> vmul(
% 1.01/1.36 X, vsucc( Y ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 end
% 1.01/1.36 permutation0:
% 1.01/1.36 0 ==> 0
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 eqswap: (6240) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vplus(
% 1.01/1.36 vmul( X, Y ), vmul( X, Z ) ) }.
% 1.01/1.36 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z )
% 1.01/1.36 ) ==> vmul( X, vplus( Y, Z ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 Z := Z
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 paramod: (6243) {G1,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==> vplus
% 1.01/1.36 ( vmul( X, Y ), vmul( Z, X ) ) }.
% 1.01/1.36 parent0[0]: (8) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 1.01/1.36 parent1[0; 10]: (6240) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==>
% 1.01/1.36 vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Z
% 1.01/1.36 end
% 1.01/1.36 substitution1:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 Z := Z
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 eqswap: (6256) {G1,W13,D4,L1,V3,M1} { vplus( vmul( X, Y ), vmul( Z, X ) )
% 1.01/1.36 ==> vmul( X, vplus( Y, Z ) ) }.
% 1.01/1.36 parent0[0]: (6243) {G1,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) ==>
% 1.01/1.36 vplus( vmul( X, Y ), vmul( Z, X ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 Z := Z
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 subsumption: (104) {G1,W13,D4,L1,V3,M1} P(8,7) { vplus( vmul( X, Z ), vmul
% 1.01/1.36 ( Y, X ) ) ==> vmul( X, vplus( Z, Y ) ) }.
% 1.01/1.36 parent0: (6256) {G1,W13,D4,L1,V3,M1} { vplus( vmul( X, Y ), vmul( Z, X ) )
% 1.01/1.36 ==> vmul( X, vplus( Y, Z ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Z
% 1.01/1.36 Z := Y
% 1.01/1.36 end
% 1.01/1.36 permutation0:
% 1.01/1.36 0 ==> 0
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 eqswap: (6257) {G0,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1 )
% 1.01/1.36 ==> vmul( vd448, vmul( vd449, skol1 ) ) }.
% 1.01/1.36 parent0[0]: (0) {G0,W11,D4,L1,V0,M1} I { vmul( vd448, vmul( vd449, skol1 )
% 1.01/1.36 ) ==> vmul( vmul( vd448, vd449 ), skol1 ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 paramod: (6260) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1 )
% 1.01/1.36 ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 1.01/1.36 parent0[0]: (8) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 1.01/1.36 parent1[0; 6]: (6257) {G0,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 1.01/1.36 skol1 ) ==> vmul( vd448, vmul( vd449, skol1 ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := vd448
% 1.01/1.36 Y := vmul( vd449, skol1 )
% 1.01/1.36 end
% 1.01/1.36 substitution1:
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 subsumption: (107) {G1,W11,D4,L1,V0,M1} P(8,0) { vmul( vmul( vd448, vd449 )
% 1.01/1.36 , skol1 ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 1.01/1.36 parent0: (6260) {G1,W11,D4,L1,V0,M1} { vmul( vmul( vd448, vd449 ), skol1 )
% 1.01/1.36 ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 end
% 1.01/1.36 permutation0:
% 1.01/1.36 0 ==> 0
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 eqswap: (6291) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==> vplus( X,
% 1.01/1.36 vmul( X, Y ) ) }.
% 1.01/1.36 parent0[0]: (86) {G1,W10,D4,L1,V2,M1} P(12,7);d(56) { vplus( X, vmul( X, Y
% 1.01/1.36 ) ) ==> vmul( X, vsucc( Y ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := X
% 1.01/1.36 Y := Y
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 eqswap: (6294) {G0,W13,D5,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ), vsucc
% 1.01/1.36 ( skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 1.01/1.36 parent0[0]: (1) {G0,W13,D5,L1,V0,M1} I { ! vmul( vd448, vmul( vd449, vsucc
% 1.01/1.36 ( skol1 ) ) ) ==> vmul( vmul( vd448, vd449 ), vsucc( skol1 ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 paramod: (6295) {G2,W16,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ), vsucc(
% 1.01/1.36 skol1 ) ) ==> vplus( vmul( vd448, vd449 ), vmul( vmul( vd449, skol1 ),
% 1.01/1.36 vd448 ) ) }.
% 1.01/1.36 parent0[0]: (107) {G1,W11,D4,L1,V0,M1} P(8,0) { vmul( vmul( vd448, vd449 )
% 1.01/1.36 , skol1 ) ==> vmul( vmul( vd449, skol1 ), vd448 ) }.
% 1.01/1.36 parent1[0; 11]: (6291) {G1,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) ==>
% 1.01/1.36 vplus( X, vmul( X, Y ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 end
% 1.01/1.36 substitution1:
% 1.01/1.36 X := vmul( vd448, vd449 )
% 1.01/1.36 Y := skol1
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 paramod: (6296) {G2,W14,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ), vsucc(
% 1.01/1.36 skol1 ) ) ==> vmul( vd448, vplus( vd449, vmul( vd449, skol1 ) ) ) }.
% 1.01/1.36 parent0[0]: (104) {G1,W13,D4,L1,V3,M1} P(8,7) { vplus( vmul( X, Z ), vmul(
% 1.01/1.36 Y, X ) ) ==> vmul( X, vplus( Z, Y ) ) }.
% 1.01/1.36 parent1[0; 7]: (6295) {G2,W16,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 1.01/1.36 vsucc( skol1 ) ) ==> vplus( vmul( vd448, vd449 ), vmul( vmul( vd449,
% 1.01/1.36 skol1 ), vd448 ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := vd448
% 1.01/1.36 Y := vmul( vd449, skol1 )
% 1.01/1.36 Z := vd449
% 1.01/1.36 end
% 1.01/1.36 substitution1:
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 paramod: (6297) {G2,W13,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ), vsucc(
% 1.01/1.36 skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 1.01/1.36 parent0[0]: (86) {G1,W10,D4,L1,V2,M1} P(12,7);d(56) { vplus( X, vmul( X, Y
% 1.01/1.36 ) ) ==> vmul( X, vsucc( Y ) ) }.
% 1.01/1.36 parent1[0; 9]: (6296) {G2,W14,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 1.01/1.36 vsucc( skol1 ) ) ==> vmul( vd448, vplus( vd449, vmul( vd449, skol1 ) ) )
% 1.01/1.36 }.
% 1.01/1.36 substitution0:
% 1.01/1.36 X := vd449
% 1.01/1.36 Y := skol1
% 1.01/1.36 end
% 1.01/1.36 substitution1:
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 resolution: (6298) {G1,W0,D0,L0,V0,M0} { }.
% 1.01/1.36 parent0[0]: (6294) {G0,W13,D5,L1,V0,M1} { ! vmul( vmul( vd448, vd449 ),
% 1.01/1.36 vsucc( skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 1.01/1.36 parent1[0]: (6297) {G2,W13,D5,L1,V0,M1} { vmul( vmul( vd448, vd449 ),
% 1.01/1.36 vsucc( skol1 ) ) ==> vmul( vd448, vmul( vd449, vsucc( skol1 ) ) ) }.
% 1.01/1.36 substitution0:
% 1.01/1.36 end
% 1.01/1.36 substitution1:
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 subsumption: (6047) {G2,W0,D0,L0,V0,M0} P(107,86);d(104);d(86);r(1) { }.
% 1.01/1.36 parent0: (6298) {G1,W0,D0,L0,V0,M0} { }.
% 1.01/1.36 substitution0:
% 1.01/1.36 end
% 1.01/1.36 permutation0:
% 1.01/1.36 end
% 1.01/1.36
% 1.01/1.36 Proof check complete!
% 1.01/1.36
% 1.01/1.36 Memory use:
% 1.01/1.36
% 1.01/1.36 space for terms: 79561
% 1.01/1.36 space for clauses: 293493
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 clauses generated: 18371
% 1.01/1.36 clauses kept: 6048
% 1.01/1.36 clauses selected: 302
% 1.01/1.36 clauses deleted: 12
% 1.01/1.36 clauses inuse deleted: 3
% 1.01/1.36
% 1.01/1.36 subsentry: 72183
% 1.01/1.36 literals s-matched: 54584
% 1.01/1.36 literals matched: 54256
% 1.01/1.36 full subsumption: 26762
% 1.01/1.36
% 1.01/1.36 checksum: 1000702784
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 Bliksem ended
%------------------------------------------------------------------------------