TSTP Solution File: NUM423+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM423+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 06:22:06 EDT 2022
% Result : Theorem 6.64s 7.06s
% Output : Refutation 6.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM423+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.31 % Computer : n009.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % DateTime : Tue Jul 5 11:47:52 EDT 2022
% 0.12/0.32 % CPUTime :
% 6.64/7.06 *** allocated 10000 integers for termspace/termends
% 6.64/7.06 *** allocated 10000 integers for clauses
% 6.64/7.06 *** allocated 10000 integers for justifications
% 6.64/7.06 Bliksem 1.12
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Automatic Strategy Selection
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Clauses:
% 6.64/7.06
% 6.64/7.06 { && }.
% 6.64/7.06 { aInteger0( sz00 ) }.
% 6.64/7.06 { aInteger0( sz10 ) }.
% 6.64/7.06 { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtpldt0( X, Y ) ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtasdt0( X, Y ) ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtpldt0( X,
% 6.64/7.06 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }
% 6.64/7.06 .
% 6.64/7.06 { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X }.
% 6.64/7.06 { ! aInteger0( X ), X = sdtpldt0( sz00, X ) }.
% 6.64/7.06 { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) ) = sz00 }.
% 6.64/7.06 { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X ), X ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 6.64/7.06 sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }
% 6.64/7.06 .
% 6.64/7.06 { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X }.
% 6.64/7.06 { ! aInteger0( X ), X = sdtasdt0( sz10, X ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 6.64/7.06 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( sdtpldt0
% 6.64/7.06 ( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 6.64/7.06 { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 6.64/7.06 { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 6.64/7.06 { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), X ) = smndt0( X ) }.
% 6.64/7.06 { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X, smndt0( sz10 ) ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00,
% 6.64/7.06 Y = sz00 }.
% 6.64/7.06 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), aInteger0( Y ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), alpha1( X, Y ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1( X, Y ), aDivisorOf0( Y, X )
% 6.64/7.06 }.
% 6.64/7.06 { ! alpha1( X, Y ), ! Y = sz00 }.
% 6.64/7.06 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 6.64/7.06 { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y ) }.
% 6.64/7.06 { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) ) }.
% 6.64/7.06 { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y ) ) = X }.
% 6.64/7.06 { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X, alpha2( X, Y ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 6.64/7.06 sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0( Z, sdtpldt0( X, smndt0( Y )
% 6.64/7.06 ) ) }.
% 6.64/7.06 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 6.64/7.06 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ), sdteqdtlpzmzozddtrp0( X, Y
% 6.64/7.06 , Z ) }.
% 6.64/7.06 { aInteger0( xa ) }.
% 6.64/7.06 { aInteger0( xq ) }.
% 6.64/7.06 { ! xq = sz00 }.
% 6.64/7.06 { ! sdteqdtlpzmzozddtrp0( xa, xa, xq ) }.
% 6.64/7.06
% 6.64/7.06 percentage equality = 0.265306, percentage horn = 0.894737
% 6.64/7.06 This is a problem with some equality
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Options Used:
% 6.64/7.06
% 6.64/7.06 useres = 1
% 6.64/7.06 useparamod = 1
% 6.64/7.06 useeqrefl = 1
% 6.64/7.06 useeqfact = 1
% 6.64/7.06 usefactor = 1
% 6.64/7.06 usesimpsplitting = 0
% 6.64/7.06 usesimpdemod = 5
% 6.64/7.06 usesimpres = 3
% 6.64/7.06
% 6.64/7.06 resimpinuse = 1000
% 6.64/7.06 resimpclauses = 20000
% 6.64/7.06 substype = eqrewr
% 6.64/7.06 backwardsubs = 1
% 6.64/7.06 selectoldest = 5
% 6.64/7.06
% 6.64/7.06 litorderings [0] = split
% 6.64/7.06 litorderings [1] = extend the termordering, first sorting on arguments
% 6.64/7.06
% 6.64/7.06 termordering = kbo
% 6.64/7.06
% 6.64/7.06 litapriori = 0
% 6.64/7.06 termapriori = 1
% 6.64/7.06 litaposteriori = 0
% 6.64/7.06 termaposteriori = 0
% 6.64/7.06 demodaposteriori = 0
% 6.64/7.06 ordereqreflfact = 0
% 6.64/7.06
% 6.64/7.06 litselect = negord
% 6.64/7.06
% 6.64/7.06 maxweight = 15
% 6.64/7.06 maxdepth = 30000
% 6.64/7.06 maxlength = 115
% 6.64/7.06 maxnrvars = 195
% 6.64/7.06 excuselevel = 1
% 6.64/7.06 increasemaxweight = 1
% 6.64/7.06
% 6.64/7.06 maxselected = 10000000
% 6.64/7.06 maxnrclauses = 10000000
% 6.64/7.06
% 6.64/7.06 showgenerated = 0
% 6.64/7.06 showkept = 0
% 6.64/7.06 showselected = 0
% 6.64/7.06 showdeleted = 0
% 6.64/7.06 showresimp = 1
% 6.64/7.06 showstatus = 2000
% 6.64/7.06
% 6.64/7.06 prologoutput = 0
% 6.64/7.06 nrgoals = 5000000
% 6.64/7.06 totalproof = 1
% 6.64/7.06
% 6.64/7.06 Symbols occurring in the translation:
% 6.64/7.06
% 6.64/7.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.64/7.06 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 6.64/7.06 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 6.64/7.06 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 6.64/7.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.64/7.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.64/7.06 aInteger0 [36, 1] (w:1, o:18, a:1, s:1, b:0),
% 6.64/7.06 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 6.64/7.06 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 6.64/7.06 smndt0 [39, 1] (w:1, o:19, a:1, s:1, b:0),
% 6.64/7.06 sdtpldt0 [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 6.64/7.06 sdtasdt0 [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 6.64/7.06 aDivisorOf0 [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 6.64/7.06 sdteqdtlpzmzozddtrp0 [45, 3] (w:1, o:50, a:1, s:1, b:0),
% 6.64/7.06 xa [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 6.64/7.06 xq [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 6.64/7.06 alpha1 [48, 2] (w:1, o:47, a:1, s:1, b:1),
% 6.64/7.06 alpha2 [49, 2] (w:1, o:48, a:1, s:1, b:1),
% 6.64/7.06 skol1 [50, 2] (w:1, o:49, a:1, s:1, b:1).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Starting Search:
% 6.64/7.06
% 6.64/7.06 *** allocated 15000 integers for clauses
% 6.64/7.06 *** allocated 22500 integers for clauses
% 6.64/7.06 *** allocated 33750 integers for clauses
% 6.64/7.06 *** allocated 50625 integers for clauses
% 6.64/7.06 *** allocated 75937 integers for clauses
% 6.64/7.06 *** allocated 15000 integers for termspace/termends
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 *** allocated 113905 integers for clauses
% 6.64/7.06 *** allocated 22500 integers for termspace/termends
% 6.64/7.06 *** allocated 170857 integers for clauses
% 6.64/7.06 *** allocated 33750 integers for termspace/termends
% 6.64/7.06
% 6.64/7.06 Intermediate Status:
% 6.64/7.06 Generated: 5196
% 6.64/7.06 Kept: 2034
% 6.64/7.06 Inuse: 120
% 6.64/7.06 Deleted: 12
% 6.64/7.06 Deletedinuse: 11
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 *** allocated 256285 integers for clauses
% 6.64/7.06 *** allocated 50625 integers for termspace/termends
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 *** allocated 75937 integers for termspace/termends
% 6.64/7.06 *** allocated 384427 integers for clauses
% 6.64/7.06
% 6.64/7.06 Intermediate Status:
% 6.64/7.06 Generated: 20631
% 6.64/7.06 Kept: 4284
% 6.64/7.06 Inuse: 304
% 6.64/7.06 Deleted: 29
% 6.64/7.06 Deletedinuse: 17
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Intermediate Status:
% 6.64/7.06 Generated: 27152
% 6.64/7.06 Kept: 6355
% 6.64/7.06 Inuse: 367
% 6.64/7.06 Deleted: 31
% 6.64/7.06 Deletedinuse: 17
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 *** allocated 113905 integers for termspace/termends
% 6.64/7.06 *** allocated 576640 integers for clauses
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Intermediate Status:
% 6.64/7.06 Generated: 33206
% 6.64/7.06 Kept: 8401
% 6.64/7.06 Inuse: 402
% 6.64/7.06 Deleted: 42
% 6.64/7.06 Deletedinuse: 17
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 *** allocated 170857 integers for termspace/termends
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 *** allocated 864960 integers for clauses
% 6.64/7.06
% 6.64/7.06 Intermediate Status:
% 6.64/7.06 Generated: 37237
% 6.64/7.06 Kept: 10499
% 6.64/7.06 Inuse: 420
% 6.64/7.06 Deleted: 44
% 6.64/7.06 Deletedinuse: 18
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Intermediate Status:
% 6.64/7.06 Generated: 42613
% 6.64/7.06 Kept: 13291
% 6.64/7.06 Inuse: 442
% 6.64/7.06 Deleted: 47
% 6.64/7.06 Deletedinuse: 18
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 *** allocated 256285 integers for termspace/termends
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Intermediate Status:
% 6.64/7.06 Generated: 46312
% 6.64/7.06 Kept: 15449
% 6.64/7.06 Inuse: 452
% 6.64/7.06 Deleted: 47
% 6.64/7.06 Deletedinuse: 18
% 6.64/7.06
% 6.64/7.06 *** allocated 1297440 integers for clauses
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Intermediate Status:
% 6.64/7.06 Generated: 51460
% 6.64/7.06 Kept: 17686
% 6.64/7.06 Inuse: 478
% 6.64/7.06 Deleted: 51
% 6.64/7.06 Deletedinuse: 18
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Intermediate Status:
% 6.64/7.06 Generated: 59526
% 6.64/7.06 Kept: 19751
% 6.64/7.06 Inuse: 541
% 6.64/7.06 Deleted: 58
% 6.64/7.06 Deletedinuse: 18
% 6.64/7.06
% 6.64/7.06 Resimplifying inuse:
% 6.64/7.06 Done
% 6.64/7.06
% 6.64/7.06 Resimplifying clauses:
% 6.64/7.06
% 6.64/7.06 Bliksems!, er is een bewijs:
% 6.64/7.06 % SZS status Theorem
% 6.64/7.06 % SZS output start Refutation
% 6.64/7.06
% 6.64/7.06 (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 6.64/7.06 (10) {G0,W8,D4,L2,V1,M2} I { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) )
% 6.64/7.06 ==> sz00 }.
% 6.64/7.06 (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X, sz00 ) ==> sz00
% 6.64/7.06 }.
% 6.64/7.06 (19) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( sz00, X ) ==> sz00
% 6.64/7.06 }.
% 6.64/7.06 (25) {G0,W10,D2,L4,V2,M4} I { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1
% 6.64/7.06 ( X, Y ), aDivisorOf0( Y, X ) }.
% 6.64/7.06 (28) {G0,W9,D2,L3,V2,M3} I { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y ) }.
% 6.64/7.06 (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 6.64/7.06 }.
% 6.64/7.06 (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y )
% 6.64/7.06 ) ==> X }.
% 6.64/7.06 (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X,
% 6.64/7.06 alpha2( X, Y ) }.
% 6.64/7.06 (33) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y ), !
% 6.64/7.06 aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) )
% 6.64/7.06 , sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 6.64/7.06 (34) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 6.64/7.06 (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 6.64/7.06 (36) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 6.64/7.06 (37) {G0,W4,D2,L1,V0,M1} I { ! sdteqdtlpzmzozddtrp0( xa, xa, xq ) }.
% 6.64/7.06 (1000) {G1,W5,D3,L1,V0,M1} R(18,35) { sdtasdt0( xq, sz00 ) ==> sz00 }.
% 6.64/7.06 (1049) {G1,W5,D3,L1,V0,M1} R(19,35) { sdtasdt0( sz00, xq ) ==> sz00 }.
% 6.64/7.06 (2029) {G1,W6,D2,L2,V1,M2} P(28,36);q { ! alpha2( X, xq ), alpha1( X, xq )
% 6.64/7.06 }.
% 6.64/7.06 (2198) {G2,W6,D2,L2,V1,M2} P(1049,31);r(35) { ! sz00 = X, alpha2( X, sz00 )
% 6.64/7.06 }.
% 6.64/7.06 (2199) {G2,W6,D2,L2,V1,M2} P(1000,31);r(1) { ! sz00 = X, alpha2( X, xq )
% 6.64/7.06 }.
% 6.64/7.06 (2201) {G1,W8,D2,L3,V2,M3} P(18,31);r(1) { ! sz00 = Y, alpha2( Y, X ), !
% 6.64/7.06 aInteger0( X ) }.
% 6.64/7.06 (2229) {G2,W5,D2,L2,V1,M2} Q(2201) { alpha2( sz00, X ), ! aInteger0( X )
% 6.64/7.06 }.
% 6.64/7.06 (2231) {G3,W3,D2,L1,V0,M1} Q(2199) { alpha2( sz00, xq ) }.
% 6.64/7.06 (2232) {G3,W3,D2,L1,V0,M1} Q(2198) { alpha2( sz00, sz00 ) }.
% 6.64/7.06 (2294) {G4,W4,D3,L1,V2,M1} R(2232,29) { aInteger0( skol1( X, Y ) ) }.
% 6.64/7.06 (2296) {G4,W6,D2,L2,V0,M2} R(2231,28) { xq ==> sz00, alpha1( sz00, xq ) }.
% 6.64/7.06 (2390) {G1,W8,D2,L3,V0,M3} R(33,37);f;d(10);r(34) { ! aInteger0( xq ), xq
% 6.64/7.06 ==> sz00, ! aDivisorOf0( xq, sz00 ) }.
% 6.64/7.06 (2463) {G5,W7,D4,L1,V2,M1} R(2294,19) { sdtasdt0( sz00, skol1( X, Y ) ) ==>
% 6.64/7.06 sz00 }.
% 6.64/7.06 (3069) {G6,W6,D2,L2,V1,M2} R(2198,30);d(2463) { ! sz00 = X, sz00 = X }.
% 6.64/7.06 (3130) {G7,W5,D2,L2,V1,M2} P(3069,1) { aInteger0( X ), ! sz00 = X }.
% 6.64/7.06 (3144) {G8,W6,D2,L2,V1,M2} R(3130,2229) { ! sz00 = X, alpha2( sz00, X ) }.
% 6.64/7.06 (3344) {G9,W3,D2,L1,V0,M1} R(2029,3144);d(2296);q { alpha1( sz00, xq ) }.
% 6.64/7.06 (3385) {G10,W5,D2,L2,V0,M2} R(3344,25);r(1) { ! aInteger0( xq ),
% 6.64/7.06 aDivisorOf0( xq, sz00 ) }.
% 6.64/7.06 (3386) {G11,W3,D2,L1,V0,M1} S(3385);r(35) { aDivisorOf0( xq, sz00 ) }.
% 6.64/7.06 (20096) {G12,W0,D0,L0,V0,M0} S(2390);r(35);r(36);r(3386) { }.
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 % SZS output end Refutation
% 6.64/7.06 found a proof!
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Unprocessed initial clauses:
% 6.64/7.06
% 6.64/7.06 (20098) {G0,W1,D1,L1,V0,M1} { && }.
% 6.64/7.06 (20099) {G0,W2,D2,L1,V0,M1} { aInteger0( sz00 ) }.
% 6.64/7.06 (20100) {G0,W2,D2,L1,V0,M1} { aInteger0( sz10 ) }.
% 6.64/7.06 (20101) {G0,W5,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0( smndt0( X ) )
% 6.64/7.06 }.
% 6.64/7.06 (20102) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 6.64/7.06 aInteger0( sdtpldt0( X, Y ) ) }.
% 6.64/7.06 (20103) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 6.64/7.06 aInteger0( sdtasdt0( X, Y ) ) }.
% 6.64/7.06 (20104) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 6.64/7.06 aInteger0( Z ), sdtpldt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X,
% 6.64/7.06 Y ), Z ) }.
% 6.64/7.06 (20105) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 6.64/7.06 sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 6.64/7.06 (20106) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X
% 6.64/7.06 }.
% 6.64/7.06 (20107) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtpldt0( sz00, X )
% 6.64/7.06 }.
% 6.64/7.06 (20108) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) )
% 6.64/7.06 = sz00 }.
% 6.64/7.06 (20109) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X
% 6.64/7.06 ), X ) }.
% 6.64/7.06 (20110) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 6.64/7.06 aInteger0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X,
% 6.64/7.06 Y ), Z ) }.
% 6.64/7.06 (20111) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ),
% 6.64/7.06 sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 6.64/7.06 (20112) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X
% 6.64/7.06 }.
% 6.64/7.06 (20113) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtasdt0( sz10, X )
% 6.64/7.06 }.
% 6.64/7.06 (20114) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 6.64/7.06 aInteger0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X,
% 6.64/7.06 Y ), sdtasdt0( X, Z ) ) }.
% 6.64/7.06 (20115) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 6.64/7.06 aInteger0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X,
% 6.64/7.06 Z ), sdtasdt0( Y, Z ) ) }.
% 6.64/7.06 (20116) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00
% 6.64/7.06 }.
% 6.64/7.06 (20117) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X )
% 6.64/7.06 }.
% 6.64/7.06 (20118) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ),
% 6.64/7.06 X ) = smndt0( X ) }.
% 6.64/7.06 (20119) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X
% 6.64/7.06 , smndt0( sz10 ) ) }.
% 6.64/7.06 (20120) {G0,W15,D3,L5,V2,M5} { ! aInteger0( X ), ! aInteger0( Y ), !
% 6.64/7.06 sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 6.64/7.06 (20121) {G0,W7,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 6.64/7.06 aInteger0( Y ) }.
% 6.64/7.06 (20122) {G0,W8,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 6.64/7.06 alpha1( X, Y ) }.
% 6.64/7.06 (20123) {G0,W10,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 6.64/7.06 alpha1( X, Y ), aDivisorOf0( Y, X ) }.
% 6.64/7.06 (20124) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = sz00 }.
% 6.64/7.06 (20125) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 6.64/7.06 (20126) {G0,W9,D2,L3,V2,M3} { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y )
% 6.64/7.06 }.
% 6.64/7.06 (20127) {G0,W7,D3,L2,V4,M2} { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 6.64/7.06 }.
% 6.64/7.06 (20128) {G0,W10,D4,L2,V2,M2} { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y
% 6.64/7.06 ) ) = X }.
% 6.64/7.06 (20129) {G0,W10,D3,L3,V3,M3} { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X,
% 6.64/7.06 alpha2( X, Y ) }.
% 6.64/7.06 (20130) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 6.64/7.06 aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0
% 6.64/7.06 ( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 6.64/7.06 (20131) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 6.64/7.06 aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) )
% 6.64/7.06 , sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 6.64/7.06 (20132) {G0,W2,D2,L1,V0,M1} { aInteger0( xa ) }.
% 6.64/7.06 (20133) {G0,W2,D2,L1,V0,M1} { aInteger0( xq ) }.
% 6.64/7.06 (20134) {G0,W3,D2,L1,V0,M1} { ! xq = sz00 }.
% 6.64/7.06 (20135) {G0,W4,D2,L1,V0,M1} { ! sdteqdtlpzmzozddtrp0( xa, xa, xq ) }.
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 Total Proof:
% 6.64/7.06
% 6.64/7.06 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 6.64/7.06 parent0: (20099) {G0,W2,D2,L1,V0,M1} { aInteger0( sz00 ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (10) {G0,W8,D4,L2,V1,M2} I { ! aInteger0( X ), sdtpldt0( X,
% 6.64/7.06 smndt0( X ) ) ==> sz00 }.
% 6.64/7.06 parent0: (20108) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X,
% 6.64/7.06 smndt0( X ) ) = sz00 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X,
% 6.64/7.06 sz00 ) ==> sz00 }.
% 6.64/7.06 parent0: (20116) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz00
% 6.64/7.06 ) = sz00 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (20245) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz00, X ) = sz00, !
% 6.64/7.06 aInteger0( X ) }.
% 6.64/7.06 parent0[1]: (20117) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sz00 =
% 6.64/7.06 sdtasdt0( sz00, X ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (19) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( sz00
% 6.64/7.06 , X ) ==> sz00 }.
% 6.64/7.06 parent0: (20245) {G0,W7,D3,L2,V1,M2} { sdtasdt0( sz00, X ) = sz00, !
% 6.64/7.06 aInteger0( X ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 1
% 6.64/7.06 1 ==> 0
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (25) {G0,W10,D2,L4,V2,M4} I { ! aInteger0( X ), ! aInteger0( Y
% 6.64/7.06 ), ! alpha1( X, Y ), aDivisorOf0( Y, X ) }.
% 6.64/7.06 parent0: (20123) {G0,W10,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y )
% 6.64/7.06 , ! alpha1( X, Y ), aDivisorOf0( Y, X ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 Y := Y
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 2 ==> 2
% 6.64/7.06 3 ==> 3
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (28) {G0,W9,D2,L3,V2,M3} I { Y = sz00, ! alpha2( X, Y ),
% 6.64/7.06 alpha1( X, Y ) }.
% 6.64/7.06 parent0: (20126) {G0,W9,D2,L3,V2,M3} { Y = sz00, ! alpha2( X, Y ), alpha1
% 6.64/7.06 ( X, Y ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 Y := Y
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 2 ==> 2
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0(
% 6.64/7.06 skol1( Z, T ) ) }.
% 6.64/7.06 parent0: (20127) {G0,W7,D3,L2,V4,M2} { ! alpha2( X, Y ), aInteger0( skol1
% 6.64/7.06 ( Z, T ) ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 Y := Y
% 6.64/7.06 Z := Z
% 6.64/7.06 T := T
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y,
% 6.64/7.06 skol1( X, Y ) ) ==> X }.
% 6.64/7.06 parent0: (20128) {G0,W10,D4,L2,V2,M2} { ! alpha2( X, Y ), sdtasdt0( Y,
% 6.64/7.06 skol1( X, Y ) ) = X }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 Y := Y
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y
% 6.64/7.06 , Z ) = X, alpha2( X, Y ) }.
% 6.64/7.06 parent0: (20129) {G0,W10,D3,L3,V3,M3} { ! aInteger0( Z ), ! sdtasdt0( Y, Z
% 6.64/7.06 ) = X, alpha2( X, Y ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 Y := Y
% 6.64/7.06 Z := Z
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 2 ==> 2
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 *** allocated 384427 integers for termspace/termends
% 6.64/7.06 subsumption: (33) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y
% 6.64/7.06 ), ! aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y
% 6.64/7.06 ) ) ), sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 6.64/7.06 parent0: (20131) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y )
% 6.64/7.06 , ! aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y )
% 6.64/7.06 ) ), sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 Y := Y
% 6.64/7.06 Z := Z
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 2 ==> 2
% 6.64/7.06 3 ==> 3
% 6.64/7.06 4 ==> 4
% 6.64/7.06 5 ==> 5
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (34) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 6.64/7.06 parent0: (20132) {G0,W2,D2,L1,V0,M1} { aInteger0( xa ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 6.64/7.06 parent0: (20133) {G0,W2,D2,L1,V0,M1} { aInteger0( xq ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (36) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 6.64/7.06 parent0: (20134) {G0,W3,D2,L1,V0,M1} { ! xq = sz00 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (37) {G0,W4,D2,L1,V0,M1} I { ! sdteqdtlpzmzozddtrp0( xa, xa,
% 6.64/7.06 xq ) }.
% 6.64/7.06 parent0: (20135) {G0,W4,D2,L1,V0,M1} { ! sdteqdtlpzmzozddtrp0( xa, xa, xq
% 6.64/7.06 ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21049) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 6.64/7.06 aInteger0( X ) }.
% 6.64/7.06 parent0[1]: (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X,
% 6.64/7.06 sz00 ) ==> sz00 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 resolution: (21050) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xq, sz00 )
% 6.64/7.06 }.
% 6.64/7.06 parent0[1]: (21049) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 6.64/7.06 aInteger0( X ) }.
% 6.64/7.06 parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := xq
% 6.64/7.06 end
% 6.64/7.06 substitution1:
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21051) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xq, sz00 ) ==> sz00 }.
% 6.64/7.06 parent0[0]: (21050) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xq, sz00 )
% 6.64/7.06 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (1000) {G1,W5,D3,L1,V0,M1} R(18,35) { sdtasdt0( xq, sz00 ) ==>
% 6.64/7.06 sz00 }.
% 6.64/7.06 parent0: (21051) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xq, sz00 ) ==> sz00 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21052) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 6.64/7.06 aInteger0( X ) }.
% 6.64/7.06 parent0[1]: (19) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( sz00,
% 6.64/7.06 X ) ==> sz00 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 resolution: (21053) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( sz00, xq )
% 6.64/7.06 }.
% 6.64/7.06 parent0[1]: (21052) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 6.64/7.06 aInteger0( X ) }.
% 6.64/7.06 parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := xq
% 6.64/7.06 end
% 6.64/7.06 substitution1:
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21054) {G1,W5,D3,L1,V0,M1} { sdtasdt0( sz00, xq ) ==> sz00 }.
% 6.64/7.06 parent0[0]: (21053) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( sz00, xq )
% 6.64/7.06 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (1049) {G1,W5,D3,L1,V0,M1} R(19,35) { sdtasdt0( sz00, xq ) ==>
% 6.64/7.06 sz00 }.
% 6.64/7.06 parent0: (21054) {G1,W5,D3,L1,V0,M1} { sdtasdt0( sz00, xq ) ==> sz00 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21056) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> xq }.
% 6.64/7.06 parent0[0]: (36) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 paramod: (21060) {G1,W9,D2,L3,V1,M3} { ! sz00 ==> sz00, ! alpha2( X, xq )
% 6.64/7.06 , alpha1( X, xq ) }.
% 6.64/7.06 parent0[0]: (28) {G0,W9,D2,L3,V2,M3} I { Y = sz00, ! alpha2( X, Y ), alpha1
% 6.64/7.06 ( X, Y ) }.
% 6.64/7.06 parent1[0; 3]: (21056) {G0,W3,D2,L1,V0,M1} { ! sz00 ==> xq }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 Y := xq
% 6.64/7.06 end
% 6.64/7.06 substitution1:
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqrefl: (21092) {G0,W6,D2,L2,V1,M2} { ! alpha2( X, xq ), alpha1( X, xq )
% 6.64/7.06 }.
% 6.64/7.06 parent0[0]: (21060) {G1,W9,D2,L3,V1,M3} { ! sz00 ==> sz00, ! alpha2( X, xq
% 6.64/7.06 ), alpha1( X, xq ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (2029) {G1,W6,D2,L2,V1,M2} P(28,36);q { ! alpha2( X, xq ),
% 6.64/7.06 alpha1( X, xq ) }.
% 6.64/7.06 parent0: (21092) {G0,W6,D2,L2,V1,M2} { ! alpha2( X, xq ), alpha1( X, xq )
% 6.64/7.06 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21094) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), ! aInteger0
% 6.64/7.06 ( Y ), alpha2( Z, X ) }.
% 6.64/7.06 parent0[1]: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y,
% 6.64/7.06 Z ) = X, alpha2( X, Y ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := Z
% 6.64/7.06 Y := X
% 6.64/7.06 Z := Y
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 paramod: (21095) {G1,W8,D2,L3,V1,M3} { ! X = sz00, ! aInteger0( xq ),
% 6.64/7.06 alpha2( X, sz00 ) }.
% 6.64/7.06 parent0[0]: (1049) {G1,W5,D3,L1,V0,M1} R(19,35) { sdtasdt0( sz00, xq ) ==>
% 6.64/7.06 sz00 }.
% 6.64/7.06 parent1[0; 3]: (21094) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), !
% 6.64/7.06 aInteger0( Y ), alpha2( Z, X ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06 substitution1:
% 6.64/7.06 X := sz00
% 6.64/7.06 Y := xq
% 6.64/7.06 Z := X
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 resolution: (21096) {G1,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, sz00 )
% 6.64/7.06 }.
% 6.64/7.06 parent0[1]: (21095) {G1,W8,D2,L3,V1,M3} { ! X = sz00, ! aInteger0( xq ),
% 6.64/7.06 alpha2( X, sz00 ) }.
% 6.64/7.06 parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06 substitution1:
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21097) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, alpha2( X, sz00 ) }.
% 6.64/7.06 parent0[0]: (21096) {G1,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, sz00 )
% 6.64/7.06 }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (2198) {G2,W6,D2,L2,V1,M2} P(1049,31);r(35) { ! sz00 = X,
% 6.64/7.06 alpha2( X, sz00 ) }.
% 6.64/7.06 parent0: (21097) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, alpha2( X, sz00 ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21099) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), ! aInteger0
% 6.64/7.06 ( Y ), alpha2( Z, X ) }.
% 6.64/7.06 parent0[1]: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y,
% 6.64/7.06 Z ) = X, alpha2( X, Y ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := Z
% 6.64/7.06 Y := X
% 6.64/7.06 Z := Y
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 paramod: (21100) {G1,W8,D2,L3,V1,M3} { ! X = sz00, ! aInteger0( sz00 ),
% 6.64/7.06 alpha2( X, xq ) }.
% 6.64/7.06 parent0[0]: (1000) {G1,W5,D3,L1,V0,M1} R(18,35) { sdtasdt0( xq, sz00 ) ==>
% 6.64/7.06 sz00 }.
% 6.64/7.06 parent1[0; 3]: (21099) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), !
% 6.64/7.06 aInteger0( Y ), alpha2( Z, X ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 end
% 6.64/7.06 substitution1:
% 6.64/7.06 X := xq
% 6.64/7.06 Y := sz00
% 6.64/7.06 Z := X
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 resolution: (21101) {G1,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xq ) }.
% 6.64/7.06 parent0[1]: (21100) {G1,W8,D2,L3,V1,M3} { ! X = sz00, ! aInteger0( sz00 )
% 6.64/7.06 , alpha2( X, xq ) }.
% 6.64/7.06 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06 substitution1:
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21102) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, alpha2( X, xq ) }.
% 6.64/7.06 parent0[0]: (21101) {G1,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xq ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (2199) {G2,W6,D2,L2,V1,M2} P(1000,31);r(1) { ! sz00 = X,
% 6.64/7.06 alpha2( X, xq ) }.
% 6.64/7.06 parent0: (21102) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, alpha2( X, xq ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 1
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21104) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), ! aInteger0
% 6.64/7.06 ( Y ), alpha2( Z, X ) }.
% 6.64/7.06 parent0[1]: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y,
% 6.64/7.06 Z ) = X, alpha2( X, Y ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := Z
% 6.64/7.06 Y := X
% 6.64/7.06 Z := Y
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 paramod: (21105) {G1,W10,D2,L4,V2,M4} { ! X = sz00, ! aInteger0( Y ), !
% 6.64/7.06 aInteger0( sz00 ), alpha2( X, Y ) }.
% 6.64/7.06 parent0[1]: (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X,
% 6.64/7.06 sz00 ) ==> sz00 }.
% 6.64/7.06 parent1[0; 3]: (21104) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), !
% 6.64/7.06 aInteger0( Y ), alpha2( Z, X ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := Y
% 6.64/7.06 end
% 6.64/7.06 substitution1:
% 6.64/7.06 X := Y
% 6.64/7.06 Y := sz00
% 6.64/7.06 Z := X
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 resolution: (21109) {G1,W8,D2,L3,V2,M3} { ! X = sz00, ! aInteger0( Y ),
% 6.64/7.06 alpha2( X, Y ) }.
% 6.64/7.06 parent0[2]: (21105) {G1,W10,D2,L4,V2,M4} { ! X = sz00, ! aInteger0( Y ), !
% 6.64/7.06 aInteger0( sz00 ), alpha2( X, Y ) }.
% 6.64/7.06 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 Y := Y
% 6.64/7.06 end
% 6.64/7.06 substitution1:
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21110) {G1,W8,D2,L3,V2,M3} { ! sz00 = X, ! aInteger0( Y ), alpha2
% 6.64/7.06 ( X, Y ) }.
% 6.64/7.06 parent0[0]: (21109) {G1,W8,D2,L3,V2,M3} { ! X = sz00, ! aInteger0( Y ),
% 6.64/7.06 alpha2( X, Y ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := X
% 6.64/7.06 Y := Y
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 subsumption: (2201) {G1,W8,D2,L3,V2,M3} P(18,31);r(1) { ! sz00 = Y, alpha2
% 6.64/7.06 ( Y, X ), ! aInteger0( X ) }.
% 6.64/7.06 parent0: (21110) {G1,W8,D2,L3,V2,M3} { ! sz00 = X, ! aInteger0( Y ),
% 6.64/7.06 alpha2( X, Y ) }.
% 6.64/7.06 substitution0:
% 6.64/7.06 X := Y
% 6.64/7.06 Y := X
% 6.64/7.06 end
% 6.64/7.06 permutation0:
% 6.64/7.06 0 ==> 0
% 6.64/7.06 1 ==> 2
% 6.64/7.06 2 ==> 1
% 6.64/7.06 end
% 6.64/7.06
% 6.64/7.06 eqswap: (21111) {G1,W8,D2,L3,V2,M3} { ! X = sz00, alpha2( X, Y ), !
% 6.64/7.06 aInteger0( Y ) }.
% 6.64/7.06 parent0[0]: (2201) {G1,W8,D2,L3,V2,M3} P(18,31);r(1) { ! sz00 = Y, alpha2(
% 6.64/7.07 Y, X ), ! aInteger0( X ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := Y
% 6.64/7.07 Y := X
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqrefl: (21112) {G0,W5,D2,L2,V1,M2} { alpha2( sz00, X ), ! aInteger0( X )
% 6.64/7.07 }.
% 6.64/7.07 parent0[0]: (21111) {G1,W8,D2,L3,V2,M3} { ! X = sz00, alpha2( X, Y ), !
% 6.64/7.07 aInteger0( Y ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := sz00
% 6.64/7.07 Y := X
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 subsumption: (2229) {G2,W5,D2,L2,V1,M2} Q(2201) { alpha2( sz00, X ), !
% 6.64/7.07 aInteger0( X ) }.
% 6.64/7.07 parent0: (21112) {G0,W5,D2,L2,V1,M2} { alpha2( sz00, X ), ! aInteger0( X )
% 6.64/7.07 }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := X
% 6.64/7.07 end
% 6.64/7.07 permutation0:
% 6.64/7.07 0 ==> 0
% 6.64/7.07 1 ==> 1
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqswap: (21113) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xq ) }.
% 6.64/7.07 parent0[0]: (2199) {G2,W6,D2,L2,V1,M2} P(1000,31);r(1) { ! sz00 = X, alpha2
% 6.64/7.07 ( X, xq ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := X
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqrefl: (21114) {G0,W3,D2,L1,V0,M1} { alpha2( sz00, xq ) }.
% 6.64/7.07 parent0[0]: (21113) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xq ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := sz00
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 subsumption: (2231) {G3,W3,D2,L1,V0,M1} Q(2199) { alpha2( sz00, xq ) }.
% 6.64/7.07 parent0: (21114) {G0,W3,D2,L1,V0,M1} { alpha2( sz00, xq ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 end
% 6.64/7.07 permutation0:
% 6.64/7.07 0 ==> 0
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqswap: (21115) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, sz00 ) }.
% 6.64/7.07 parent0[0]: (2198) {G2,W6,D2,L2,V1,M2} P(1049,31);r(35) { ! sz00 = X,
% 6.64/7.07 alpha2( X, sz00 ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := X
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqrefl: (21116) {G0,W3,D2,L1,V0,M1} { alpha2( sz00, sz00 ) }.
% 6.64/7.07 parent0[0]: (21115) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, sz00 )
% 6.64/7.07 }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := sz00
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 subsumption: (2232) {G3,W3,D2,L1,V0,M1} Q(2198) { alpha2( sz00, sz00 ) }.
% 6.64/7.07 parent0: (21116) {G0,W3,D2,L1,V0,M1} { alpha2( sz00, sz00 ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 end
% 6.64/7.07 permutation0:
% 6.64/7.07 0 ==> 0
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 resolution: (21117) {G1,W4,D3,L1,V2,M1} { aInteger0( skol1( X, Y ) ) }.
% 6.64/7.07 parent0[0]: (29) {G0,W7,D3,L2,V4,M2} I { ! alpha2( X, Y ), aInteger0( skol1
% 6.64/7.07 ( Z, T ) ) }.
% 6.64/7.07 parent1[0]: (2232) {G3,W3,D2,L1,V0,M1} Q(2198) { alpha2( sz00, sz00 ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := sz00
% 6.64/7.07 Y := sz00
% 6.64/7.07 Z := X
% 6.64/7.07 T := Y
% 6.64/7.07 end
% 6.64/7.07 substitution1:
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 subsumption: (2294) {G4,W4,D3,L1,V2,M1} R(2232,29) { aInteger0( skol1( X, Y
% 6.64/7.07 ) ) }.
% 6.64/7.07 parent0: (21117) {G1,W4,D3,L1,V2,M1} { aInteger0( skol1( X, Y ) ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := X
% 6.64/7.07 Y := Y
% 6.64/7.07 end
% 6.64/7.07 permutation0:
% 6.64/7.07 0 ==> 0
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqswap: (21118) {G0,W9,D2,L3,V2,M3} { sz00 = X, ! alpha2( Y, X ), alpha1(
% 6.64/7.07 Y, X ) }.
% 6.64/7.07 parent0[0]: (28) {G0,W9,D2,L3,V2,M3} I { Y = sz00, ! alpha2( X, Y ), alpha1
% 6.64/7.07 ( X, Y ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := Y
% 6.64/7.07 Y := X
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 resolution: (21119) {G1,W6,D2,L2,V0,M2} { sz00 = xq, alpha1( sz00, xq )
% 6.64/7.07 }.
% 6.64/7.07 parent0[1]: (21118) {G0,W9,D2,L3,V2,M3} { sz00 = X, ! alpha2( Y, X ),
% 6.64/7.07 alpha1( Y, X ) }.
% 6.64/7.07 parent1[0]: (2231) {G3,W3,D2,L1,V0,M1} Q(2199) { alpha2( sz00, xq ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := xq
% 6.64/7.07 Y := sz00
% 6.64/7.07 end
% 6.64/7.07 substitution1:
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqswap: (21120) {G1,W6,D2,L2,V0,M2} { xq = sz00, alpha1( sz00, xq ) }.
% 6.64/7.07 parent0[0]: (21119) {G1,W6,D2,L2,V0,M2} { sz00 = xq, alpha1( sz00, xq )
% 6.64/7.07 }.
% 6.64/7.07 substitution0:
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 subsumption: (2296) {G4,W6,D2,L2,V0,M2} R(2231,28) { xq ==> sz00, alpha1(
% 6.64/7.07 sz00, xq ) }.
% 6.64/7.07 parent0: (21120) {G1,W6,D2,L2,V0,M2} { xq = sz00, alpha1( sz00, xq ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 end
% 6.64/7.07 permutation0:
% 6.64/7.07 0 ==> 0
% 6.64/7.07 1 ==> 1
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqswap: (21121) {G0,W19,D4,L6,V3,M6} { sz00 = X, ! aInteger0( Y ), !
% 6.64/7.07 aInteger0( Z ), ! aInteger0( X ), ! aDivisorOf0( X, sdtpldt0( Y, smndt0(
% 6.64/7.07 Z ) ) ), sdteqdtlpzmzozddtrp0( Y, Z, X ) }.
% 6.64/7.07 parent0[3]: (33) {G0,W19,D4,L6,V3,M6} I { ! aInteger0( X ), ! aInteger0( Y
% 6.64/7.07 ), ! aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y
% 6.64/7.07 ) ) ), sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := Y
% 6.64/7.07 Y := Z
% 6.64/7.07 Z := X
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 resolution: (21123) {G1,W15,D4,L5,V0,M5} { sz00 = xq, ! aInteger0( xa ), !
% 6.64/7.07 aInteger0( xa ), ! aInteger0( xq ), ! aDivisorOf0( xq, sdtpldt0( xa,
% 6.64/7.07 smndt0( xa ) ) ) }.
% 6.64/7.07 parent0[0]: (37) {G0,W4,D2,L1,V0,M1} I { ! sdteqdtlpzmzozddtrp0( xa, xa, xq
% 6.64/7.07 ) }.
% 6.64/7.07 parent1[5]: (21121) {G0,W19,D4,L6,V3,M6} { sz00 = X, ! aInteger0( Y ), !
% 6.64/7.07 aInteger0( Z ), ! aInteger0( X ), ! aDivisorOf0( X, sdtpldt0( Y, smndt0(
% 6.64/7.07 Z ) ) ), sdteqdtlpzmzozddtrp0( Y, Z, X ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 end
% 6.64/7.07 substitution1:
% 6.64/7.07 X := xq
% 6.64/7.07 Y := xa
% 6.64/7.07 Z := xa
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 paramod: (21125) {G1,W14,D2,L6,V0,M6} { ! aDivisorOf0( xq, sz00 ), !
% 6.64/7.07 aInteger0( xa ), sz00 = xq, ! aInteger0( xa ), ! aInteger0( xa ), !
% 6.64/7.07 aInteger0( xq ) }.
% 6.64/7.07 parent0[1]: (10) {G0,W8,D4,L2,V1,M2} I { ! aInteger0( X ), sdtpldt0( X,
% 6.64/7.07 smndt0( X ) ) ==> sz00 }.
% 6.64/7.07 parent1[4; 3]: (21123) {G1,W15,D4,L5,V0,M5} { sz00 = xq, ! aInteger0( xa )
% 6.64/7.07 , ! aInteger0( xa ), ! aInteger0( xq ), ! aDivisorOf0( xq, sdtpldt0( xa,
% 6.64/7.07 smndt0( xa ) ) ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := xa
% 6.64/7.07 end
% 6.64/7.07 substitution1:
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 factor: (21126) {G1,W12,D2,L5,V0,M5} { ! aDivisorOf0( xq, sz00 ), !
% 6.64/7.07 aInteger0( xa ), sz00 = xq, ! aInteger0( xa ), ! aInteger0( xq ) }.
% 6.64/7.07 parent0[1, 3]: (21125) {G1,W14,D2,L6,V0,M6} { ! aDivisorOf0( xq, sz00 ), !
% 6.64/7.07 aInteger0( xa ), sz00 = xq, ! aInteger0( xa ), ! aInteger0( xa ), !
% 6.64/7.07 aInteger0( xq ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 factor: (21127) {G1,W10,D2,L4,V0,M4} { ! aDivisorOf0( xq, sz00 ), !
% 6.64/7.07 aInteger0( xa ), sz00 = xq, ! aInteger0( xq ) }.
% 6.64/7.07 parent0[1, 3]: (21126) {G1,W12,D2,L5,V0,M5} { ! aDivisorOf0( xq, sz00 ), !
% 6.64/7.07 aInteger0( xa ), sz00 = xq, ! aInteger0( xa ), ! aInteger0( xq ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 resolution: (21128) {G1,W8,D2,L3,V0,M3} { ! aDivisorOf0( xq, sz00 ), sz00
% 6.64/7.07 = xq, ! aInteger0( xq ) }.
% 6.64/7.07 parent0[1]: (21127) {G1,W10,D2,L4,V0,M4} { ! aDivisorOf0( xq, sz00 ), !
% 6.64/7.07 aInteger0( xa ), sz00 = xq, ! aInteger0( xq ) }.
% 6.64/7.07 parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 end
% 6.64/7.07 substitution1:
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqswap: (21129) {G1,W8,D2,L3,V0,M3} { xq = sz00, ! aDivisorOf0( xq, sz00 )
% 6.64/7.07 , ! aInteger0( xq ) }.
% 6.64/7.07 parent0[1]: (21128) {G1,W8,D2,L3,V0,M3} { ! aDivisorOf0( xq, sz00 ), sz00
% 6.64/7.07 = xq, ! aInteger0( xq ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 subsumption: (2390) {G1,W8,D2,L3,V0,M3} R(33,37);f;d(10);r(34) { !
% 6.64/7.07 aInteger0( xq ), xq ==> sz00, ! aDivisorOf0( xq, sz00 ) }.
% 6.64/7.07 parent0: (21129) {G1,W8,D2,L3,V0,M3} { xq = sz00, ! aDivisorOf0( xq, sz00
% 6.64/7.07 ), ! aInteger0( xq ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 end
% 6.64/7.07 permutation0:
% 6.64/7.07 0 ==> 1
% 6.64/7.07 1 ==> 2
% 6.64/7.07 2 ==> 0
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqswap: (21130) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 6.64/7.07 aInteger0( X ) }.
% 6.64/7.07 parent0[1]: (19) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( sz00,
% 6.64/7.07 X ) ==> sz00 }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := X
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 resolution: (21131) {G1,W7,D4,L1,V2,M1} { sz00 ==> sdtasdt0( sz00, skol1(
% 6.64/7.07 X, Y ) ) }.
% 6.64/7.07 parent0[1]: (21130) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( sz00, X ), !
% 6.64/7.07 aInteger0( X ) }.
% 6.64/7.07 parent1[0]: (2294) {G4,W4,D3,L1,V2,M1} R(2232,29) { aInteger0( skol1( X, Y
% 6.64/7.07 ) ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := skol1( X, Y )
% 6.64/7.07 end
% 6.64/7.07 substitution1:
% 6.64/7.07 X := X
% 6.64/7.07 Y := Y
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqswap: (21132) {G1,W7,D4,L1,V2,M1} { sdtasdt0( sz00, skol1( X, Y ) ) ==>
% 6.64/7.07 sz00 }.
% 6.64/7.07 parent0[0]: (21131) {G1,W7,D4,L1,V2,M1} { sz00 ==> sdtasdt0( sz00, skol1(
% 6.64/7.07 X, Y ) ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := X
% 6.64/7.07 Y := Y
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 subsumption: (2463) {G5,W7,D4,L1,V2,M1} R(2294,19) { sdtasdt0( sz00, skol1
% 6.64/7.07 ( X, Y ) ) ==> sz00 }.
% 6.64/7.07 parent0: (21132) {G1,W7,D4,L1,V2,M1} { sdtasdt0( sz00, skol1( X, Y ) ) ==>
% 6.64/7.07 sz00 }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := X
% 6.64/7.07 Y := Y
% 6.64/7.07 end
% 6.64/7.07 permutation0:
% 6.64/7.07 0 ==> 0
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqswap: (21133) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, sz00 ) }.
% 6.64/7.07 parent0[0]: (2198) {G2,W6,D2,L2,V1,M2} P(1049,31);r(35) { ! sz00 = X,
% 6.64/7.07 alpha2( X, sz00 ) }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := X
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 eqswap: (21134) {G0,W10,D4,L2,V2,M2} { Y ==> sdtasdt0( X, skol1( Y, X ) )
% 6.64/7.07 , ! alpha2( Y, X ) }.
% 6.64/7.07 parent0[1]: (30) {G0,W10,D4,L2,V2,M2} I { ! alpha2( X, Y ), sdtasdt0( Y,
% 6.64/7.07 skol1( X, Y ) ) ==> X }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := Y
% 6.64/7.07 Y := X
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 resolution: (21136) {G1,W10,D4,L2,V1,M2} { X ==> sdtasdt0( sz00, skol1( X
% 6.64/7.07 , sz00 ) ), ! X = sz00 }.
% 6.64/7.07 parent0[1]: (21134) {G0,W10,D4,L2,V2,M2} { Y ==> sdtasdt0( X, skol1( Y, X
% 6.64/7.07 ) ), ! alpha2( Y, X ) }.
% 6.64/7.07 parent1[1]: (21133) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, sz00 )
% 6.64/7.07 }.
% 6.64/7.07 substitution0:
% 6.64/7.07 X := sz00
% 6.64/7.07 Y := X
% 6.64/7.07 end
% 6.64/7.07 substitution1:
% 6.64/7.07 X := X
% 6.64/7.07 end
% 6.64/7.07
% 6.64/7.07 paramod: (21137) {G2,W6,D2,L2,V1,M2} { X ==> sz00, ! X = sz00 }.
% 6.64/7.07 parent0[0]: (2463) {G5,W7,D4,L1,V2,M1} R(2294,19) { sdtasdt0( sz00, skol1(
% 6.64/7.07 X, Y ) ) ==> sz00 }.
% 6.64/7.07 parent1[0; 2]: (21136) {G1,W10,D4,L2,V1,M2} { X ==> sdtasdt0( sz00, skol1
% 6.64/7.07 ( X, sz00 ) ), ! X = sz00 }.
% 6.64/7.07 substitutioCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------