TSTP Solution File: NUM853+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM853+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 06:27:06 EDT 2022
% Result : Theorem 0.85s 1.45s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM853+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n020.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 15:15:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.85/1.45 *** allocated 10000 integers for termspace/termends
% 0.85/1.45 *** allocated 10000 integers for clauses
% 0.85/1.45 *** allocated 10000 integers for justifications
% 0.85/1.45 Bliksem 1.12
% 0.85/1.45
% 0.85/1.45
% 0.85/1.45 Automatic Strategy Selection
% 0.85/1.45
% 0.85/1.45
% 0.85/1.45 Clauses:
% 0.85/1.45
% 0.85/1.45 { ! greater( vd486, vd488 ) }.
% 0.85/1.45 { greater( vmul( vd486, vd487 ), vmul( vd488, vd487 ) ) }.
% 0.85/1.45 { ! less( X, Y ), less( vmul( X, Z ), vmul( Y, Z ) ) }.
% 0.85/1.45 { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 0.85/1.45 { ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, Z ) ) }.
% 0.85/1.45 { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z ) ) }.
% 0.85/1.45 { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 0.85/1.45 { vmul( X, Y ) = vmul( Y, X ) }.
% 0.85/1.45 { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 0.85/1.45 { vmul( v1, X ) = X }.
% 0.85/1.45 { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 0.85/1.45 { vmul( X, v1 ) = X }.
% 0.85/1.45 { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 0.85/1.45 { ! greater( X, Y ), geq( X, vplus( Y, v1 ) ) }.
% 0.85/1.45 { geq( X, v1 ) }.
% 0.85/1.45 { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.85/1.45 { ! greater( Z, T ), ! geq( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 0.85/1.45 }.
% 0.85/1.45 { ! geq( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 0.85/1.45 }.
% 0.85/1.45 { ! greater( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T
% 0.85/1.45 ) ) }.
% 0.85/1.45 { ! less( vplus( X, Z ), vplus( Y, Z ) ), less( X, Y ) }.
% 0.85/1.45 { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 0.85/1.45 { ! greater( vplus( X, Z ), vplus( Y, Z ) ), greater( X, Y ) }.
% 0.85/1.45 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.85/1.45 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.85/1.45 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.85/1.45 { greater( vplus( X, Y ), X ) }.
% 0.85/1.45 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.85/1.45 { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 0.85/1.45 { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.85/1.45 { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.85/1.45 { ! leq( X, Y ), geq( Y, X ) }.
% 0.85/1.45 { ! geq( X, Y ), leq( Y, X ) }.
% 0.85/1.45 { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.85/1.45 { ! less( Y, X ), leq( Y, X ) }.
% 0.85/1.45 { ! Y = X, leq( Y, X ) }.
% 0.85/1.45 { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.85/1.45 { ! greater( Y, X ), geq( Y, X ) }.
% 0.85/1.45 { ! Y = X, geq( Y, X ) }.
% 0.85/1.45 { ! less( X, Y ), greater( Y, X ) }.
% 0.85/1.45 { ! greater( X, Y ), less( Y, X ) }.
% 0.85/1.45 { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.85/1.45 { ! X = Y, ! less( X, Y ) }.
% 0.85/1.45 { ! greater( X, Y ), ! less( X, Y ) }.
% 0.85/1.45 { ! X = Y, ! greater( X, Y ) }.
% 0.85/1.45 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.85/1.45 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.85/1.45 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.85/1.45 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.85/1.45 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.85/1.45 { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.85/1.45 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.85/1.45 { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.85/1.45 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.85/1.45 { ! Y = vplus( X, Y ) }.
% 0.85/1.45 { vplus( Y, X ) = vplus( X, Y ) }.
% 0.85/1.45 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.85/1.45 { vplus( v1, X ) = vsucc( X ) }.
% 0.85/1.45 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.85/1.45 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.85/1.45 { vplus( X, v1 ) = vsucc( X ) }.
% 0.85/1.45 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.85/1.45 { ! vsucc( X ) = X }.
% 0.85/1.45 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.85/1.45 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.85/1.45 { ! vsucc( X ) = v1 }.
% 0.85/1.45
% 0.85/1.45 percentage equality = 0.400000, percentage horn = 0.921875
% 0.85/1.45 This is a problem with some equality
% 0.85/1.45
% 0.85/1.45
% 0.85/1.45
% 0.85/1.45 Options Used:
% 0.85/1.45
% 0.85/1.45 useres = 1
% 0.85/1.45 useparamod = 1
% 0.85/1.45 useeqrefl = 1
% 0.85/1.45 useeqfact = 1
% 0.85/1.45 usefactor = 1
% 0.85/1.45 usesimpsplitting = 0
% 0.85/1.45 usesimpdemod = 5
% 0.85/1.45 usesimpres = 3
% 0.85/1.45
% 0.85/1.45 resimpinuse = 1000
% 0.85/1.45 resimpclauses = 20000
% 0.85/1.45 substype = eqrewr
% 0.85/1.45 backwardsubs = 1
% 0.85/1.45 selectoldest = 5
% 0.85/1.45
% 0.85/1.45 litorderings [0] = split
% 0.85/1.45 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.45
% 0.85/1.45 termordering = kbo
% 0.85/1.45
% 0.85/1.45 litapriori = 0
% 0.85/1.45 termapriori = 1
% 0.85/1.45 litaposteriori = 0
% 0.85/1.45 termaposteriori = 0
% 0.85/1.45 demodaposteriori = 0
% 0.85/1.45 ordereqreflfact = 0
% 0.85/1.45
% 0.85/1.45 litselect = negord
% 0.85/1.45
% 0.85/1.45 maxweight = 15
% 0.85/1.45 maxdepth = 30000
% 0.85/1.45 maxlength = 115
% 0.85/1.45 maxnrvars = 195
% 0.85/1.45 excuselevel = 1
% 0.85/1.45 increasemaxweight = 1
% 0.85/1.45
% 0.85/1.45 maxselected = 10000000
% 0.85/1.45 maxnrclauses = 10000000
% 0.85/1.45
% 0.85/1.45 showgenerated = 0
% 0.85/1.45 showkept = 0
% 0.85/1.45 showselected = 0
% 0.85/1.45 showdeleted = 0
% 0.85/1.45 showresimp = 1
% 0.85/1.45 showstatus = 2000
% 0.85/1.45
% 0.85/1.45 prologoutput = 0
% 0.85/1.45 nrgoals = 5000000
% 0.85/1.45 totalproof = 1
% 0.85/1.45
% 0.85/1.45 Symbols occurring in the translation:
% 0.85/1.45
% 0.85/1.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.45 . [1, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.85/1.45 ! [4, 1] (w:0, o:110, a:1, s:1, b:0),
% 0.85/1.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.45 vd486 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.85/1.45 vd488 [36, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.85/1.45 greater [37, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.85/1.45 vd487 [38, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.85/1.45 vmul [39, 2] (w:1, o:142, a:1, s:1, b:0),
% 0.85/1.45 less [43, 2] (w:1, o:143, a:1, s:1, b:0),
% 0.85/1.45 vplus [54, 2] (w:1, o:144, a:1, s:1, b:0),
% 0.85/1.45 vsucc [59, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.85/1.45 v1 [61, 0] (w:1, o:96, a:1, s:1, b:0),
% 0.85/1.45 leq [66, 2] (w:1, o:145, a:1, s:1, b:0),
% 0.85/1.45 geq [69, 2] (w:1, o:146, a:1, s:1, b:0),
% 0.85/1.45 vskolem2 [140, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.85/1.45 skol1 [147, 2] (w:1, o:147, a:1, s:1, b:1),
% 0.85/1.45 skol2 [148, 2] (w:1, o:148, a:1, s:1, b:1),
% 0.85/1.45 skol3 [149, 2] (w:1, o:149, a:1, s:1, b:1),
% 0.85/1.45 skol4 [150, 2] (w:1, o:150, a:1, s:1, b:1).
% 0.85/1.45
% 0.85/1.45
% 0.85/1.45 Starting Search:
% 0.85/1.45
% 0.85/1.45 *** allocated 15000 integers for clauses
% 0.85/1.45 *** allocated 22500 integers for clauses
% 0.85/1.45 *** allocated 33750 integers for clauses
% 0.85/1.45 *** allocated 50625 integers for clauses
% 0.85/1.45 *** allocated 15000 integers for termspace/termends
% 0.85/1.45 *** allocated 75937 integers for clauses
% 0.85/1.45 Resimplifying inuse:
% 0.85/1.45 Done
% 0.85/1.45
% 0.85/1.45 *** allocated 22500 integers for termspace/termends
% 0.85/1.45 *** allocated 113905 integers for clauses
% 0.85/1.45 *** allocated 33750 integers for termspace/termends
% 0.85/1.45
% 0.85/1.45 Intermediate Status:
% 0.85/1.45 Generated: 5122
% 0.85/1.45 Kept: 2293
% 0.85/1.45 Inuse: 144
% 0.85/1.45 Deleted: 4
% 0.85/1.45 Deletedinuse: 2
% 0.85/1.45
% 0.85/1.45 Resimplifying inuse:
% 0.85/1.45 Done
% 0.85/1.45
% 0.85/1.45 *** allocated 170857 integers for clauses
% 0.85/1.45 *** allocated 50625 integers for termspace/termends
% 0.85/1.45 *** allocated 256285 integers for clauses
% 0.85/1.45 Resimplifying inuse:
% 0.85/1.45 Done
% 0.85/1.45
% 0.85/1.45 *** allocated 75937 integers for termspace/termends
% 0.85/1.45
% 0.85/1.45 Intermediate Status:
% 0.85/1.45 Generated: 11287
% 0.85/1.45 Kept: 4293
% 0.85/1.45 Inuse: 205
% 0.85/1.45 Deleted: 4
% 0.85/1.45 Deletedinuse: 2
% 0.85/1.45
% 0.85/1.45 Resimplifying inuse:
% 0.85/1.45 Done
% 0.85/1.45
% 0.85/1.45 *** allocated 384427 integers for clauses
% 0.85/1.45 Resimplifying inuse:
% 0.85/1.45 Done
% 0.85/1.45
% 0.85/1.45 *** allocated 113905 integers for termspace/termends
% 0.85/1.45
% 0.85/1.45 Bliksems!, er is een bewijs:
% 0.85/1.45 % SZS status Theorem
% 0.85/1.45 % SZS output start Refutation
% 0.85/1.45
% 0.85/1.45 (0) {G0,W3,D2,L1,V0,M1} I { ! greater( vd486, vd488 ) }.
% 0.85/1.45 (1) {G0,W7,D3,L1,V0,M1} I { greater( vmul( vd486, vd487 ), vmul( vd488,
% 0.85/1.45 vd487 ) ) }.
% 0.85/1.45 (2) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), less( vmul( X, Z ), vmul( Y, Z
% 0.85/1.45 ) ) }.
% 0.85/1.45 (32) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.85/1.45 (34) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 0.85/1.45 (40) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.85/1.45 (42) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y ) }.
% 0.85/1.45 (43) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.85/1.45 (65) {G1,W3,D2,L1,V1,M1} Q(34) { leq( X, X ) }.
% 0.85/1.45 (76) {G1,W7,D3,L1,V0,M1} R(43,1) { ! vmul( vd488, vd487 ) ==> vmul( vd486,
% 0.85/1.45 vd487 ) }.
% 0.85/1.45 (77) {G1,W10,D3,L2,V3,M2} R(42,2) { ! greater( vmul( X, Y ), vmul( Z, Y ) )
% 0.85/1.45 , ! less( X, Z ) }.
% 0.85/1.45 (2002) {G1,W6,D2,L2,V0,M2} R(40,0) { vd488 ==> vd486, less( vd486, vd488 )
% 0.85/1.45 }.
% 0.85/1.45 (5737) {G2,W13,D3,L3,V1,M3} P(32,76) { ! vmul( X, vd487 ) = vmul( vd486,
% 0.85/1.45 vd487 ), ! leq( X, vd488 ), less( X, vd488 ) }.
% 0.85/1.45 (5750) {G3,W3,D2,L1,V0,M1} Q(5737);d(2002);r(65) { less( vd486, vd488 ) }.
% 0.85/1.45 (5860) {G4,W0,D0,L0,V0,M0} R(77,1);r(5750) { }.
% 0.85/1.45
% 0.85/1.45
% 0.85/1.45 % SZS output end Refutation
% 0.85/1.45 found a proof!
% 0.85/1.45
% 0.85/1.45
% 0.85/1.45 Unprocessed initial clauses:
% 0.85/1.45
% 0.85/1.45 (5862) {G0,W3,D2,L1,V0,M1} { ! greater( vd486, vd488 ) }.
% 0.85/1.45 (5863) {G0,W7,D3,L1,V0,M1} { greater( vmul( vd486, vd487 ), vmul( vd488,
% 0.85/1.45 vd487 ) ) }.
% 0.85/1.45 (5864) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vmul( X, Z ), vmul( Y
% 0.85/1.45 , Z ) ) }.
% 0.85/1.45 (5865) {G0,W10,D3,L2,V3,M2} { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 0.85/1.45 (5866) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vmul( X, Z ),
% 0.85/1.45 vmul( Y, Z ) ) }.
% 0.85/1.45 (5867) {G0,W11,D4,L1,V3,M1} { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y,
% 0.85/1.45 Z ) ) }.
% 0.85/1.45 (5868) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y
% 0.85/1.45 ), vmul( X, Z ) ) }.
% 0.85/1.45 (5869) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 0.85/1.45 (5870) {G0,W10,D4,L1,V2,M1} { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y )
% 0.85/1.45 , Y ) }.
% 0.85/1.45 (5871) {G0,W5,D3,L1,V1,M1} { vmul( v1, X ) = X }.
% 0.85/1.45 (5872) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y )
% 0.85/1.45 , X ) }.
% 0.85/1.45 (5873) {G0,W5,D3,L1,V1,M1} { vmul( X, v1 ) = X }.
% 0.85/1.45 (5874) {G0,W8,D3,L2,V2,M2} { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 0.85/1.45 (5875) {G0,W8,D3,L2,V2,M2} { ! greater( X, Y ), geq( X, vplus( Y, v1 ) )
% 0.85/1.45 }.
% 0.85/1.45 (5876) {G0,W3,D2,L1,V1,M1} { geq( X, v1 ) }.
% 0.85/1.45 (5877) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X
% 0.85/1.45 , Z ), vplus( Y, T ) ) }.
% 0.85/1.45 (5878) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! geq( X, Y ), greater(
% 0.85/1.45 vplus( X, Z ), vplus( Y, T ) ) }.
% 0.85/1.45 (5879) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! greater( X, Y ), greater(
% 0.85/1.45 vplus( X, Z ), vplus( Y, T ) ) }.
% 0.85/1.45 (5880) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y ),
% 0.85/1.45 greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.85/1.45 (5881) {G0,W10,D3,L2,V3,M2} { ! less( vplus( X, Z ), vplus( Y, Z ) ), less
% 0.85/1.45 ( X, Y ) }.
% 0.85/1.45 (5882) {G0,W10,D3,L2,V3,M2} { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 0.85/1.45 (5883) {G0,W10,D3,L2,V3,M2} { ! greater( vplus( X, Z ), vplus( Y, Z ) ),
% 0.85/1.45 greater( X, Y ) }.
% 0.85/1.45 (5884) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus(
% 0.85/1.45 Y, Z ) ) }.
% 0.85/1.45 (5885) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.85/1.45 (5886) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 0.85/1.45 vplus( Y, Z ) ) }.
% 0.85/1.45 (5887) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 0.85/1.45 (5888) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.85/1.45 (5889) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 0.85/1.45 }.
% 0.85/1.45 (5890) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.85/1.45 }.
% 0.85/1.45 (5891) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.85/1.45 }.
% 0.85/1.45 (5892) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 0.85/1.45 (5893) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.85/1.45 (5894) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.85/1.45 (5895) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 0.85/1.45 (5896) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 0.85/1.45 (5897) {G0,W9,D2,L3,V2,M3} { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.85/1.45 (5898) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 0.85/1.45 (5899) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 0.85/1.45 (5900) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 0.85/1.45 (5901) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.85/1.45 (5902) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.85/1.45 (5903) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 0.85/1.45 (5904) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 0.85/1.45 (5905) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 0.85/1.45 (5906) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 0.85/1.45 ) }.
% 0.85/1.45 (5907) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.85/1.45 (5908) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.85/1.45 ) ) }.
% 0.85/1.45 (5909) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.85/1.45 (5910) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 0.85/1.45 vplus( X, skol4( X, Y ) ) }.
% 0.85/1.45 (5911) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.85/1.45 (5912) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.85/1.45 (5913) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.85/1.45 (5914) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.85/1.45 (5915) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 0.85/1.45 (5916) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 0.85/1.45 (5917) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.85/1.45 ) }.
% 0.85/1.45 (5918) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 0.85/1.45 (5919) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 0.85/1.45 ( Y, Z ) ) }.
% 0.85/1.45 (5920) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.85/1.45 ) }.
% 0.85/1.45 (5921) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 0.85/1.45 (5922) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.85/1.45 (5923) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 0.85/1.45 (5924) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.85/1.45 (5925) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.85/1.45 (5926) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 0.85/1.45
% 0.85/1.45
% 0.85/1.45 Total Proof:
% 0.85/1.45
% 0.85/1.45 subsumption: (0) {G0,W3,D2,L1,V0,M1} I { ! greater( vd486, vd488 ) }.
% 0.85/1.45 parent0: (5862) {G0,W3,D2,L1,V0,M1} { ! greater( vd486, vd488 ) }.
% 0.85/1.45 substitution0:
% 0.85/1.45 end
% 0.85/1.45 permutation0:
% 0.85/1.45 0 ==> 0
% 0.85/1.45 end
% 0.85/1.45
% 0.85/1.45 subsumption: (1) {G0,W7,D3,L1,V0,M1} I { greater( vmul( vd486, vd487 ),
% 0.85/1.45 vmul( vd488, vd487 ) ) }.
% 0.85/1.45 parent0: (5863) {G0,W7,D3,L1,V0,M1} { greater( vmul( vd486, vd487 ), vmul
% 0.85/1.45 ( vd488, vd487 ) ) }.
% 0.85/1.45 substitution0:
% 0.85/1.45 end
% 0.85/1.45 permutation0:
% 0.85/1.45 0 ==> 0
% 0.85/1.45 end
% 0.85/1.45
% 0.85/1.45 subsumption: (2) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), less( vmul( X, Z
% 0.85/1.45 ), vmul( Y, Z ) ) }.
% 0.85/1.45 parent0: (5864) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vmul( X, Z )
% 0.85/1.45 , vmul( Y, Z ) ) }.
% 0.85/1.45 substitution0:
% 0.85/1.45 X := X
% 0.85/1.45 Y := Y
% 0.85/1.45 Z := Z
% 0.85/1.45 end
% 0.85/1.45 permutation0:
% 0.85/1.45 0 ==> 0
% 0.85/1.45 1 ==> 1
% 0.85/1.45 end
% 0.85/1.45
% 0.85/1.45 subsumption: (32) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y =
% 0.85/1.45 X }.
% 0.85/1.45 parent0: (5894) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X
% 0.85/1.45 }.
% 0.85/1.45 substitution0:
% 0.85/1.46 X := X
% 0.85/1.46 Y := Y
% 0.85/1.46 end
% 0.85/1.46 permutation0:
% 0.85/1.46 0 ==> 0
% 0.85/1.46 1 ==> 1
% 0.85/1.46 2 ==> 2
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 subsumption: (34) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 0.85/1.46 parent0: (5896) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := X
% 0.85/1.46 Y := Y
% 0.85/1.46 end
% 0.85/1.46 permutation0:
% 0.85/1.46 0 ==> 0
% 0.85/1.46 1 ==> 1
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 subsumption: (40) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X,
% 0.85/1.46 Y ) }.
% 0.85/1.46 parent0: (5902) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y )
% 0.85/1.46 }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := X
% 0.85/1.46 Y := Y
% 0.85/1.46 end
% 0.85/1.46 permutation0:
% 0.85/1.46 0 ==> 0
% 0.85/1.46 1 ==> 1
% 0.85/1.46 2 ==> 2
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 subsumption: (42) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y )
% 0.85/1.46 }.
% 0.85/1.46 parent0: (5904) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y )
% 0.85/1.46 }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := X
% 0.85/1.46 Y := Y
% 0.85/1.46 end
% 0.85/1.46 permutation0:
% 0.85/1.46 0 ==> 0
% 0.85/1.46 1 ==> 1
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 subsumption: (43) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.85/1.46 parent0: (5905) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := X
% 0.85/1.46 Y := Y
% 0.85/1.46 end
% 0.85/1.46 permutation0:
% 0.85/1.46 0 ==> 0
% 0.85/1.46 1 ==> 1
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 eqswap: (6013) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( X, Y ) }.
% 0.85/1.46 parent0[0]: (34) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := Y
% 0.85/1.46 Y := X
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 eqrefl: (6014) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.85/1.46 parent0[0]: (6013) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( X, Y ) }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := X
% 0.85/1.46 Y := X
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 subsumption: (65) {G1,W3,D2,L1,V1,M1} Q(34) { leq( X, X ) }.
% 0.85/1.46 parent0: (6014) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := X
% 0.85/1.46 end
% 0.85/1.46 permutation0:
% 0.85/1.46 0 ==> 0
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 eqswap: (6015) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! greater( X, Y ) }.
% 0.85/1.46 parent0[0]: (43) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := X
% 0.85/1.46 Y := Y
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 resolution: (6016) {G1,W7,D3,L1,V0,M1} { ! vmul( vd488, vd487 ) = vmul(
% 0.85/1.46 vd486, vd487 ) }.
% 0.85/1.46 parent0[1]: (6015) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! greater( X, Y ) }.
% 0.85/1.46 parent1[0]: (1) {G0,W7,D3,L1,V0,M1} I { greater( vmul( vd486, vd487 ), vmul
% 0.85/1.46 ( vd488, vd487 ) ) }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := vmul( vd486, vd487 )
% 0.85/1.46 Y := vmul( vd488, vd487 )
% 0.85/1.46 end
% 0.85/1.46 substitution1:
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 subsumption: (76) {G1,W7,D3,L1,V0,M1} R(43,1) { ! vmul( vd488, vd487 ) ==>
% 0.85/1.46 vmul( vd486, vd487 ) }.
% 0.85/1.46 parent0: (6016) {G1,W7,D3,L1,V0,M1} { ! vmul( vd488, vd487 ) = vmul( vd486
% 0.85/1.46 , vd487 ) }.
% 0.85/1.46 substitution0:
% 0.85/1.46 end
% 0.85/1.46 permutation0:
% 0.85/1.46 0 ==> 0
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 resolution: (6018) {G1,W10,D3,L2,V3,M2} { ! greater( vmul( X, Y ), vmul( Z
% 0.85/1.46 , Y ) ), ! less( X, Z ) }.
% 0.85/1.46 parent0[1]: (42) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y )
% 0.85/1.46 }.
% 0.85/1.46 parent1[1]: (2) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), less( vmul( X, Z )
% 0.85/1.46 , vmul( Y, Z ) ) }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := vmul( X, Y )
% 0.85/1.46 Y := vmul( Z, Y )
% 0.85/1.46 end
% 0.85/1.46 substitution1:
% 0.85/1.46 X := X
% 0.85/1.46 Y := Z
% 0.85/1.46 Z := Y
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 subsumption: (77) {G1,W10,D3,L2,V3,M2} R(42,2) { ! greater( vmul( X, Y ),
% 0.85/1.46 vmul( Z, Y ) ), ! less( X, Z ) }.
% 0.85/1.46 parent0: (6018) {G1,W10,D3,L2,V3,M2} { ! greater( vmul( X, Y ), vmul( Z, Y
% 0.85/1.46 ) ), ! less( X, Z ) }.
% 0.85/1.46 substitution0:
% 0.85/1.46 X := X
% 0.85/1.46 Y := Y
% 0.85/1.46 Z := Z
% 0.85/1.46 end
% 0.85/1.46 permutation0:
% 0.85/1.46 0 ==> 0
% 0.85/1.46 1 ==> 1
% 0.85/1.46 end
% 0.85/1.46
% 0.85/1.46 eqswap: (6019) {G0,W9,D2,L3,V2,M3} { Y = X, greater( X, Y ), less( X, YCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------