TSTP Solution File: NUM852+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM852+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 06:27:05 EDT 2022
% Result : Theorem 0.75s 1.61s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM852+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % 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 : Thu Jul 7 21:44:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.75/1.61 *** allocated 10000 integers for termspace/termends
% 0.75/1.61 *** allocated 10000 integers for clauses
% 0.75/1.61 *** allocated 10000 integers for justifications
% 0.75/1.61 Bliksem 1.12
% 0.75/1.61
% 0.75/1.61
% 0.75/1.61 Automatic Strategy Selection
% 0.75/1.61
% 0.75/1.61
% 0.75/1.61 Clauses:
% 0.75/1.61
% 0.75/1.61 { ! greater( vmul( vd481, vd469 ), vmul( vd480, vd469 ) ) }.
% 0.75/1.61 { greater( vd481, vd480 ) }.
% 0.75/1.61 { less( vd480, vd481 ) }.
% 0.75/1.61 { ! X = Y, vmul( X, vd469 ) = vmul( Y, vd469 ) }.
% 0.75/1.61 { ! greater( X, Y ), greater( vplus( vmul( Y, vd469 ), vmul( vskolem9( X, Y
% 0.75/1.61 ), vd469 ) ), vmul( Y, vd469 ) ) }.
% 0.75/1.61 { ! greater( X, Y ), vmul( vplus( Y, vskolem9( X, Y ) ), vd469 ) = vplus(
% 0.75/1.61 vmul( Y, vd469 ), vmul( vskolem9( X, Y ), vd469 ) ) }.
% 0.75/1.61 { ! greater( X, Y ), vmul( X, vd469 ) = vmul( vplus( Y, vskolem9( X, Y ) )
% 0.75/1.61 , vd469 ) }.
% 0.75/1.61 { ! greater( X, Y ), X = vplus( Y, vskolem9( X, Y ) ) }.
% 0.75/1.61 { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z ) ) }.
% 0.75/1.61 { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 0.75/1.61 { vmul( X, Y ) = vmul( Y, X ) }.
% 0.75/1.61 { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 0.75/1.61 { vmul( v1, X ) = X }.
% 0.75/1.61 { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 0.75/1.61 { vmul( X, v1 ) = X }.
% 0.75/1.61 { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 0.75/1.61 { ! greater( X, Y ), geq( X, vplus( Y, v1 ) ) }.
% 0.75/1.61 { geq( X, v1 ) }.
% 0.75/1.61 { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.75/1.61 { ! greater( Z, T ), ! geq( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 0.75/1.61 }.
% 0.75/1.61 { ! geq( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 0.75/1.61 }.
% 0.75/1.61 { ! greater( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T
% 0.75/1.61 ) ) }.
% 0.75/1.61 { ! less( vplus( X, Z ), vplus( Y, Z ) ), less( X, Y ) }.
% 0.75/1.61 { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 0.75/1.61 { ! greater( vplus( X, Z ), vplus( Y, Z ) ), greater( X, Y ) }.
% 0.75/1.61 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.75/1.61 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.75/1.61 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.75/1.61 { greater( vplus( X, Y ), X ) }.
% 0.75/1.61 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.75/1.61 { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 0.75/1.61 { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.75/1.61 { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.75/1.61 { ! leq( X, Y ), geq( Y, X ) }.
% 0.75/1.61 { ! geq( X, Y ), leq( Y, X ) }.
% 0.75/1.61 { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.75/1.61 { ! less( Y, X ), leq( Y, X ) }.
% 0.75/1.61 { ! Y = X, leq( Y, X ) }.
% 0.75/1.61 { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.75/1.61 { ! greater( Y, X ), geq( Y, X ) }.
% 0.75/1.61 { ! Y = X, geq( Y, X ) }.
% 0.75/1.61 { ! less( X, Y ), greater( Y, X ) }.
% 0.75/1.61 { ! greater( X, Y ), less( Y, X ) }.
% 0.75/1.61 { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.75/1.61 { ! X = Y, ! less( X, Y ) }.
% 0.75/1.61 { ! greater( X, Y ), ! less( X, Y ) }.
% 0.75/1.61 { ! X = Y, ! greater( X, Y ) }.
% 0.75/1.61 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.75/1.61 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.75/1.61 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.75/1.61 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.75/1.61 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.75/1.61 { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.75/1.61 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.75/1.61 { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.75/1.61 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.75/1.61 { ! Y = vplus( X, Y ) }.
% 0.75/1.61 { vplus( Y, X ) = vplus( X, Y ) }.
% 0.75/1.61 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.75/1.61 { vplus( v1, X ) = vsucc( X ) }.
% 0.75/1.61 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.75/1.61 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.75/1.61 { vplus( X, v1 ) = vsucc( X ) }.
% 0.75/1.61 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.75/1.61 { ! vsucc( X ) = X }.
% 0.75/1.61 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.75/1.61 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.75/1.61 { ! vsucc( X ) = v1 }.
% 0.75/1.61
% 0.75/1.61 percentage equality = 0.408000, percentage horn = 0.925373
% 0.75/1.61 This is a problem with some equality
% 0.75/1.61
% 0.75/1.61
% 0.75/1.61
% 0.75/1.61 Options Used:
% 0.75/1.61
% 0.75/1.61 useres = 1
% 0.75/1.61 useparamod = 1
% 0.75/1.61 useeqrefl = 1
% 0.75/1.61 useeqfact = 1
% 0.75/1.61 usefactor = 1
% 0.75/1.61 usesimpsplitting = 0
% 0.75/1.61 usesimpdemod = 5
% 0.75/1.61 usesimpres = 3
% 0.75/1.61
% 0.75/1.61 resimpinuse = 1000
% 0.75/1.61 resimpclauses = 20000
% 0.75/1.61 substype = eqrewr
% 0.75/1.61 backwardsubs = 1
% 0.75/1.61 selectoldest = 5
% 0.75/1.61
% 0.75/1.61 litorderings [0] = split
% 0.75/1.61 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.61
% 0.75/1.61 termordering = kbo
% 0.75/1.61
% 0.75/1.61 litapriori = 0
% 0.75/1.61 termapriori = 1
% 0.75/1.61 litaposteriori = 0
% 0.75/1.61 termaposteriori = 0
% 0.75/1.61 demodaposteriori = 0
% 0.75/1.61 ordereqreflfact = 0
% 0.75/1.61
% 0.75/1.61 litselect = negord
% 0.75/1.61
% 0.75/1.61 maxweight = 15
% 0.75/1.61 maxdepth = 30000
% 0.75/1.61 maxlength = 115
% 0.75/1.61 maxnrvars = 195
% 0.75/1.61 excuselevel = 1
% 0.75/1.61 increasemaxweight = 1
% 0.75/1.61
% 0.75/1.61 maxselected = 10000000
% 0.75/1.61 maxnrclauses = 10000000
% 0.75/1.61
% 0.75/1.61 showgenerated = 0
% 0.75/1.61 showkept = 0
% 0.75/1.61 showselected = 0
% 0.75/1.61 showdeleted = 0
% 0.75/1.61 showresimp = 1
% 0.75/1.61 showstatus = 2000
% 0.75/1.61
% 0.75/1.61 prologoutput = 0
% 0.75/1.61 nrgoals = 5000000
% 0.75/1.61 totalproof = 1
% 0.75/1.61
% 0.75/1.61 Symbols occurring in the translation:
% 0.75/1.61
% 0.75/1.61 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.61 . [1, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.75/1.61 ! [4, 1] (w:0, o:107, a:1, s:1, b:0),
% 0.75/1.61 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.61 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.61 vd481 [35, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.75/1.61 vd469 [36, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.75/1.61 vmul [37, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.75/1.61 vd480 [38, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.75/1.61 greater [39, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.75/1.61 less [40, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.75/1.61 vskolem9 [45, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.75/1.61 vplus [46, 2] (w:1, o:142, a:1, s:1, b:0),
% 0.75/1.61 vsucc [57, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.75/1.61 v1 [59, 0] (w:1, o:94, a:1, s:1, b:0),
% 0.75/1.61 leq [64, 2] (w:1, o:143, a:1, s:1, b:0),
% 0.75/1.61 geq [67, 2] (w:1, o:144, a:1, s:1, b:0),
% 0.75/1.61 vskolem2 [138, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.75/1.61 skol1 [145, 2] (w:1, o:145, a:1, s:1, b:1),
% 0.75/1.61 skol2 [146, 2] (w:1, o:146, a:1, s:1, b:1),
% 0.75/1.61 skol3 [147, 2] (w:1, o:147, a:1, s:1, b:1),
% 0.75/1.61 skol4 [148, 2] (w:1, o:148, a:1, s:1, b:1).
% 0.75/1.61
% 0.75/1.61
% 0.75/1.61 Starting Search:
% 0.75/1.61
% 0.75/1.61 *** allocated 15000 integers for clauses
% 0.75/1.61 *** allocated 22500 integers for clauses
% 0.75/1.61 *** allocated 33750 integers for clauses
% 0.75/1.61 *** allocated 50625 integers for clauses
% 0.75/1.61 *** allocated 15000 integers for termspace/termends
% 0.75/1.61 *** allocated 75937 integers for clauses
% 0.75/1.61 Resimplifying inuse:
% 0.75/1.61 Done
% 0.75/1.61
% 0.75/1.61 *** allocated 22500 integers for termspace/termends
% 0.75/1.61 *** allocated 113905 integers for clauses
% 0.75/1.61 *** allocated 33750 integers for termspace/termends
% 0.75/1.61
% 0.75/1.61 Intermediate Status:
% 0.75/1.61 Generated: 4659
% 0.75/1.61 Kept: 2002
% 0.75/1.61 Inuse: 152
% 0.75/1.61 Deleted: 7
% 0.75/1.61 Deletedinuse: 2
% 0.75/1.61
% 0.75/1.61 Resimplifying inuse:
% 0.75/1.61 Done
% 0.75/1.61
% 0.75/1.61 *** allocated 170857 integers for clauses
% 0.75/1.61 *** allocated 50625 integers for termspace/termends
% 0.75/1.61 Resimplifying inuse:
% 0.75/1.61 Done
% 0.75/1.61
% 0.75/1.61 *** allocated 256285 integers for clauses
% 0.75/1.61 *** allocated 75937 integers for termspace/termends
% 0.75/1.61
% 0.75/1.61 Intermediate Status:
% 0.75/1.61 Generated: 10081
% 0.75/1.61 Kept: 4065
% 0.75/1.61 Inuse: 206
% 0.75/1.61 Deleted: 7
% 0.75/1.61 Deletedinuse: 2
% 0.75/1.61
% 0.75/1.61 Resimplifying inuse:
% 0.75/1.61 Done
% 0.75/1.61
% 0.75/1.61 *** allocated 384427 integers for clauses
% 0.75/1.61 Resimplifying inuse:
% 0.75/1.61 Done
% 0.75/1.61
% 0.75/1.61 *** allocated 113905 integers for termspace/termends
% 0.75/1.61
% 0.75/1.61 Intermediate Status:
% 0.75/1.61 Generated: 16812
% 0.75/1.61 Kept: 6092
% 0.75/1.61 Inuse: 279
% 0.75/1.61 Deleted: 8
% 0.75/1.61 Deletedinuse: 2
% 0.75/1.61
% 0.75/1.61 Resimplifying inuse:
% 0.75/1.61 Done
% 0.75/1.61
% 0.75/1.61 Resimplifying inuse:
% 0.75/1.61 Done
% 0.75/1.61
% 0.75/1.61 *** allocated 576640 integers for clauses
% 0.75/1.61
% 0.75/1.61 Intermediate Status:
% 0.75/1.61 Generated: 23626
% 0.75/1.61 Kept: 8097
% 0.75/1.61 Inuse: 366
% 0.75/1.61 Deleted: 9
% 0.75/1.61 Deletedinuse: 3
% 0.75/1.61
% 0.75/1.61 Resimplifying inuse:
% 0.75/1.61 Done
% 0.75/1.61
% 0.75/1.61 *** allocated 170857 integers for termspace/termends
% 0.75/1.61
% 0.75/1.61 Bliksems!, er is een bewijs:
% 0.75/1.61 % SZS status Theorem
% 0.75/1.61 % SZS output start Refutation
% 0.75/1.61
% 0.75/1.61 (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd481, vd469 ), vmul( vd480,
% 0.75/1.61 vd469 ) ) }.
% 0.75/1.61 (1) {G0,W3,D2,L1,V0,M1} I { greater( vd481, vd480 ) }.
% 0.75/1.61 (7) {G0,W10,D4,L2,V2,M2} I { ! greater( X, Y ), vplus( Y, vskolem9( X, Y )
% 0.75/1.61 ) ==> X }.
% 0.75/1.61 (9) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z ) ) ==> vmul(
% 0.75/1.61 X, vplus( Y, Z ) ) }.
% 0.75/1.61 (10) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 0.75/1.61 (28) {G0,W5,D3,L1,V2,M1} I { greater( vplus( X, Y ), X ) }.
% 0.75/1.61 (90) {G1,W7,D4,L1,V0,M1} R(7,1) { vplus( vd480, vskolem9( vd481, vd480 ) )
% 0.75/1.61 ==> vd481 }.
% 0.75/1.61 (107) {G1,W9,D4,L1,V3,M1} P(9,28) { greater( vmul( X, vplus( Y, Z ) ), vmul
% 0.75/1.61 ( X, Y ) ) }.
% 0.75/1.61 (127) {G1,W7,D3,L1,V0,M1} P(10,0) { ! greater( vmul( vd469, vd481 ), vmul(
% 0.75/1.61 vd480, vd469 ) ) }.
% 0.75/1.61 (7549) {G2,W7,D3,L1,V1,M1} P(90,107) { greater( vmul( X, vd481 ), vmul( X,
% 0.75/1.61 vd480 ) ) }.
% 0.75/1.61 (9376) {G3,W0,D0,L0,V0,M0} P(10,127);r(7549) { }.
% 0.75/1.61
% 0.75/1.61
% 0.75/1.61 % SZS output end Refutation
% 0.75/1.61 found a proof!
% 0.75/1.61
% 0.75/1.61
% 0.75/1.61 Unprocessed initial clauses:
% 0.75/1.61
% 0.75/1.61 (9378) {G0,W7,D3,L1,V0,M1} { ! greater( vmul( vd481, vd469 ), vmul( vd480
% 0.75/1.61 , vd469 ) ) }.
% 0.75/1.61 (9379) {G0,W3,D2,L1,V0,M1} { greater( vd481, vd480 ) }.
% 0.75/1.61 (9380) {G0,W3,D2,L1,V0,M1} { less( vd480, vd481 ) }.
% 0.75/1.61 (9381) {G0,W10,D3,L2,V2,M2} { ! X = Y, vmul( X, vd469 ) = vmul( Y, vd469 )
% 0.75/1.61 }.
% 0.75/1.61 (9382) {G0,W16,D5,L2,V2,M2} { ! greater( X, Y ), greater( vplus( vmul( Y,
% 0.75/1.61 vd469 ), vmul( vskolem9( X, Y ), vd469 ) ), vmul( Y, vd469 ) ) }.
% 0.75/1.61 (9383) {G0,W20,D5,L2,V2,M2} { ! greater( X, Y ), vmul( vplus( Y, vskolem9
% 0.75/1.61 ( X, Y ) ), vd469 ) = vplus( vmul( Y, vd469 ), vmul( vskolem9( X, Y ),
% 0.75/1.61 vd469 ) ) }.
% 0.75/1.61 (9384) {G0,W14,D5,L2,V2,M2} { ! greater( X, Y ), vmul( X, vd469 ) = vmul(
% 0.75/1.61 vplus( Y, vskolem9( X, Y ) ), vd469 ) }.
% 0.75/1.61 (9385) {G0,W10,D4,L2,V2,M2} { ! greater( X, Y ), X = vplus( Y, vskolem9( X
% 0.75/1.61 , Y ) ) }.
% 0.75/1.61 (9386) {G0,W11,D4,L1,V3,M1} { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y,
% 0.75/1.61 Z ) ) }.
% 0.75/1.61 (9387) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y
% 0.75/1.61 ), vmul( X, Z ) ) }.
% 0.75/1.61 (9388) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 0.75/1.61 (9389) {G0,W10,D4,L1,V2,M1} { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y )
% 0.75/1.61 , Y ) }.
% 0.75/1.61 (9390) {G0,W5,D3,L1,V1,M1} { vmul( v1, X ) = X }.
% 0.75/1.61 (9391) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y )
% 0.75/1.61 , X ) }.
% 0.75/1.61 (9392) {G0,W5,D3,L1,V1,M1} { vmul( X, v1 ) = X }.
% 0.75/1.61 (9393) {G0,W8,D3,L2,V2,M2} { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 0.75/1.61 (9394) {G0,W8,D3,L2,V2,M2} { ! greater( X, Y ), geq( X, vplus( Y, v1 ) )
% 0.75/1.61 }.
% 0.75/1.61 (9395) {G0,W3,D2,L1,V1,M1} { geq( X, v1 ) }.
% 0.75/1.61 (9396) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X
% 0.75/1.61 , Z ), vplus( Y, T ) ) }.
% 0.75/1.61 (9397) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! geq( X, Y ), greater(
% 0.75/1.61 vplus( X, Z ), vplus( Y, T ) ) }.
% 0.75/1.61 (9398) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! greater( X, Y ), greater(
% 0.75/1.61 vplus( X, Z ), vplus( Y, T ) ) }.
% 0.75/1.61 (9399) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y ),
% 0.75/1.61 greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.75/1.61 (9400) {G0,W10,D3,L2,V3,M2} { ! less( vplus( X, Z ), vplus( Y, Z ) ), less
% 0.75/1.61 ( X, Y ) }.
% 0.75/1.61 (9401) {G0,W10,D3,L2,V3,M2} { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 0.75/1.61 (9402) {G0,W10,D3,L2,V3,M2} { ! greater( vplus( X, Z ), vplus( Y, Z ) ),
% 0.75/1.61 greater( X, Y ) }.
% 0.75/1.61 (9403) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus(
% 0.75/1.61 Y, Z ) ) }.
% 0.75/1.61 (9404) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.75/1.61 (9405) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 0.75/1.61 vplus( Y, Z ) ) }.
% 0.75/1.61 (9406) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 0.75/1.61 (9407) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.75/1.61 (9408) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 0.75/1.61 }.
% 0.75/1.61 (9409) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.75/1.61 }.
% 0.75/1.61 (9410) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.75/1.61 }.
% 0.75/1.61 (9411) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 0.75/1.61 (9412) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.75/1.61 (9413) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.75/1.61 (9414) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 0.75/1.61 (9415) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 0.75/1.61 (9416) {G0,W9,D2,L3,V2,M3} { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.75/1.61 (9417) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 0.75/1.61 (9418) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 0.75/1.61 (9419) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 0.75/1.61 (9420) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.75/1.61 (9421) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.75/1.61 (9422) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 0.75/1.61 (9423) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 0.75/1.61 (9424) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 0.75/1.61 (9425) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 0.75/1.61 ) }.
% 0.75/1.61 (9426) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.75/1.61 (9427) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.75/1.61 ) ) }.
% 0.75/1.61 (9428) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.75/1.61 (9429) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 0.75/1.61 vplus( X, skol4( X, Y ) ) }.
% 0.75/1.61 (9430) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.75/1.61 (9431) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.75/1.61 (9432) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.75/1.61 (9433) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.75/1.61 (9434) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 0.75/1.61 (9435) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 0.75/1.61 (9436) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.75/1.61 ) }.
% 0.75/1.61 (9437) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 0.75/1.61 (9438) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 0.75/1.61 ( Y, Z ) ) }.
% 0.75/1.61 (9439) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.75/1.61 ) }.
% 0.75/1.61 (9440) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 0.75/1.61 (9441) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.75/1.61 (9442) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 0.75/1.61 (9443) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.75/1.61 (9444) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.75/1.61 (9445) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 0.75/1.61
% 0.75/1.61
% 0.75/1.61 Total Proof:
% 0.75/1.61
% 0.75/1.61 subsumption: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd481, vd469 ),
% 0.75/1.61 vmul( vd480, vd469 ) ) }.
% 0.75/1.61 parent0: (9378) {G0,W7,D3,L1,V0,M1} { ! greater( vmul( vd481, vd469 ),
% 0.75/1.61 vmul( vd480, vd469 ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 0 ==> 0
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 subsumption: (1) {G0,W3,D2,L1,V0,M1} I { greater( vd481, vd480 ) }.
% 0.75/1.61 parent0: (9379) {G0,W3,D2,L1,V0,M1} { greater( vd481, vd480 ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 0 ==> 0
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 eqswap: (9449) {G0,W10,D4,L2,V2,M2} { vplus( Y, vskolem9( X, Y ) ) = X, !
% 0.75/1.61 greater( X, Y ) }.
% 0.75/1.61 parent0[1]: (9385) {G0,W10,D4,L2,V2,M2} { ! greater( X, Y ), X = vplus( Y
% 0.75/1.61 , vskolem9( X, Y ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := X
% 0.75/1.61 Y := Y
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 subsumption: (7) {G0,W10,D4,L2,V2,M2} I { ! greater( X, Y ), vplus( Y,
% 0.75/1.61 vskolem9( X, Y ) ) ==> X }.
% 0.75/1.61 parent0: (9449) {G0,W10,D4,L2,V2,M2} { vplus( Y, vskolem9( X, Y ) ) = X, !
% 0.75/1.61 greater( X, Y ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := X
% 0.75/1.61 Y := Y
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 0 ==> 1
% 0.75/1.61 1 ==> 0
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 eqswap: (9455) {G0,W13,D4,L1,V3,M1} { vplus( vmul( X, Y ), vmul( X, Z ) )
% 0.75/1.61 = vmul( X, vplus( Y, Z ) ) }.
% 0.75/1.61 parent0[0]: (9387) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus
% 0.75/1.61 ( vmul( X, Y ), vmul( X, Z ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := X
% 0.75/1.61 Y := Y
% 0.75/1.61 Z := Z
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 subsumption: (9) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z )
% 0.75/1.61 ) ==> vmul( X, vplus( Y, Z ) ) }.
% 0.75/1.61 parent0: (9455) {G0,W13,D4,L1,V3,M1} { vplus( vmul( X, Y ), vmul( X, Z ) )
% 0.75/1.61 = vmul( X, vplus( Y, Z ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := X
% 0.75/1.61 Y := Y
% 0.75/1.61 Z := Z
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 0 ==> 0
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 subsumption: (10) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 0.75/1.61 parent0: (9388) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := X
% 0.75/1.61 Y := Y
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 0 ==> 0
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 subsumption: (28) {G0,W5,D3,L1,V2,M1} I { greater( vplus( X, Y ), X ) }.
% 0.75/1.61 parent0: (9406) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := X
% 0.75/1.61 Y := Y
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 0 ==> 0
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 eqswap: (9476) {G0,W10,D4,L2,V2,M2} { Y ==> vplus( X, vskolem9( Y, X ) ),
% 0.75/1.61 ! greater( Y, X ) }.
% 0.75/1.61 parent0[1]: (7) {G0,W10,D4,L2,V2,M2} I { ! greater( X, Y ), vplus( Y,
% 0.75/1.61 vskolem9( X, Y ) ) ==> X }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := Y
% 0.75/1.61 Y := X
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 resolution: (9477) {G1,W7,D4,L1,V0,M1} { vd481 ==> vplus( vd480, vskolem9
% 0.75/1.61 ( vd481, vd480 ) ) }.
% 0.75/1.61 parent0[1]: (9476) {G0,W10,D4,L2,V2,M2} { Y ==> vplus( X, vskolem9( Y, X )
% 0.75/1.61 ), ! greater( Y, X ) }.
% 0.75/1.61 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { greater( vd481, vd480 ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := vd480
% 0.75/1.61 Y := vd481
% 0.75/1.61 end
% 0.75/1.61 substitution1:
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 eqswap: (9478) {G1,W7,D4,L1,V0,M1} { vplus( vd480, vskolem9( vd481, vd480
% 0.75/1.61 ) ) ==> vd481 }.
% 0.75/1.61 parent0[0]: (9477) {G1,W7,D4,L1,V0,M1} { vd481 ==> vplus( vd480, vskolem9
% 0.75/1.61 ( vd481, vd480 ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 subsumption: (90) {G1,W7,D4,L1,V0,M1} R(7,1) { vplus( vd480, vskolem9(
% 0.75/1.61 vd481, vd480 ) ) ==> vd481 }.
% 0.75/1.61 parent0: (9478) {G1,W7,D4,L1,V0,M1} { vplus( vd480, vskolem9( vd481, vd480
% 0.75/1.61 ) ) ==> vd481 }.
% 0.75/1.61 substitution0:
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 0 ==> 0
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 paramod: (9480) {G1,W9,D4,L1,V3,M1} { greater( vmul( X, vplus( Y, Z ) ),
% 0.75/1.61 vmul( X, Y ) ) }.
% 0.75/1.61 parent0[0]: (9) {G0,W13,D4,L1,V3,M1} I { vplus( vmul( X, Y ), vmul( X, Z )
% 0.75/1.61 ) ==> vmul( X, vplus( Y, Z ) ) }.
% 0.75/1.61 parent1[0; 1]: (28) {G0,W5,D3,L1,V2,M1} I { greater( vplus( X, Y ), X ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := X
% 0.75/1.61 Y := Y
% 0.75/1.61 Z := Z
% 0.75/1.61 end
% 0.75/1.61 substitution1:
% 0.75/1.61 X := vmul( X, Y )
% 0.75/1.61 Y := vmul( X, Z )
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 subsumption: (107) {G1,W9,D4,L1,V3,M1} P(9,28) { greater( vmul( X, vplus( Y
% 0.75/1.61 , Z ) ), vmul( X, Y ) ) }.
% 0.75/1.61 parent0: (9480) {G1,W9,D4,L1,V3,M1} { greater( vmul( X, vplus( Y, Z ) ),
% 0.75/1.61 vmul( X, Y ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := X
% 0.75/1.61 Y := Y
% 0.75/1.61 Z := Z
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 0 ==> 0
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 paramod: (9481) {G1,W7,D3,L1,V0,M1} { ! greater( vmul( vd469, vd481 ),
% 0.75/1.61 vmul( vd480, vd469 ) ) }.
% 0.75/1.61 parent0[0]: (10) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 0.75/1.61 parent1[0; 2]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd481, vd469 )
% 0.75/1.61 , vmul( vd480, vd469 ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := vd481
% 0.75/1.61 Y := vd469
% 0.75/1.61 end
% 0.75/1.61 substitution1:
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 subsumption: (127) {G1,W7,D3,L1,V0,M1} P(10,0) { ! greater( vmul( vd469,
% 0.75/1.61 vd481 ), vmul( vd480, vd469 ) ) }.
% 0.75/1.61 parent0: (9481) {G1,W7,D3,L1,V0,M1} { ! greater( vmul( vd469, vd481 ),
% 0.75/1.61 vmul( vd480, vd469 ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 0 ==> 0
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 paramod: (9486) {G2,W7,D3,L1,V1,M1} { greater( vmul( X, vd481 ), vmul( X,
% 0.75/1.61 vd480 ) ) }.
% 0.75/1.61 parent0[0]: (90) {G1,W7,D4,L1,V0,M1} R(7,1) { vplus( vd480, vskolem9( vd481
% 0.75/1.61 , vd480 ) ) ==> vd481 }.
% 0.75/1.61 parent1[0; 3]: (107) {G1,W9,D4,L1,V3,M1} P(9,28) { greater( vmul( X, vplus
% 0.75/1.61 ( Y, Z ) ), vmul( X, Y ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 end
% 0.75/1.61 substitution1:
% 0.75/1.61 X := X
% 0.75/1.61 Y := vd480
% 0.75/1.61 Z := vskolem9( vd481, vd480 )
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 subsumption: (7549) {G2,W7,D3,L1,V1,M1} P(90,107) { greater( vmul( X, vd481
% 0.75/1.61 ), vmul( X, vd480 ) ) }.
% 0.75/1.61 parent0: (9486) {G2,W7,D3,L1,V1,M1} { greater( vmul( X, vd481 ), vmul( X,
% 0.75/1.61 vd480 ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := X
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 0 ==> 0
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 paramod: (9488) {G1,W7,D3,L1,V0,M1} { ! greater( vmul( vd469, vd481 ),
% 0.75/1.61 vmul( vd469, vd480 ) ) }.
% 0.75/1.61 parent0[0]: (10) {G0,W7,D3,L1,V2,M1} I { vmul( X, Y ) = vmul( Y, X ) }.
% 0.75/1.61 parent1[0; 5]: (127) {G1,W7,D3,L1,V0,M1} P(10,0) { ! greater( vmul( vd469,
% 0.75/1.61 vd481 ), vmul( vd480, vd469 ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 X := vd480
% 0.75/1.61 Y := vd469
% 0.75/1.61 end
% 0.75/1.61 substitution1:
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 resolution: (9491) {G2,W0,D0,L0,V0,M0} { }.
% 0.75/1.61 parent0[0]: (9488) {G1,W7,D3,L1,V0,M1} { ! greater( vmul( vd469, vd481 ),
% 0.75/1.61 vmul( vd469, vd480 ) ) }.
% 0.75/1.61 parent1[0]: (7549) {G2,W7,D3,L1,V1,M1} P(90,107) { greater( vmul( X, vd481
% 0.75/1.61 ), vmul( X, vd480 ) ) }.
% 0.75/1.61 substitution0:
% 0.75/1.61 end
% 0.75/1.61 substitution1:
% 0.75/1.61 X := vd469
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 subsumption: (9376) {G3,W0,D0,L0,V0,M0} P(10,127);r(7549) { }.
% 0.75/1.61 parent0: (9491) {G2,W0,D0,L0,V0,M0} { }.
% 0.75/1.61 substitution0:
% 0.75/1.61 end
% 0.75/1.61 permutation0:
% 0.75/1.61 end
% 0.75/1.61
% 0.75/1.61 Proof check complete!
% 0.75/1.61
% 0.75/1.61 Memory use:
% 0.75/1.61
% 0.75/1.61 space for terms: 118818
% 0.75/1.61 space for clauses: 467423
% 0.75/1.61
% 0.75/1.61
% 0.75/1.61 clauses generated: 28056
% 0.75/1.61 clauses kept: 9377
% 0.75/1.61 clauses selected: 405
% 0.75/1.61 clauses deleted: 9
% 0.75/1.61 clauses inuse deleted: 3
% 0.75/1.61
% 0.75/1.61 subsentry: 128729
% 0.75/1.61 literals s-matched: 84683
% 0.75/1.61 literals matched: 83842
% 0.75/1.61 full subsumption: 45426
% 0.75/1.61
% 0.75/1.61 checksum: -1980169804
% 0.75/1.61
% 0.75/1.61
% 0.75/1.61 Bliksem ended
%------------------------------------------------------------------------------