TSTP Solution File: NUM854+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM854+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 0.84s 1.18s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM854+1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15 % Command : bliksem %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % DateTime : Thu Jul 7 04:59:44 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.84/1.18 *** allocated 10000 integers for termspace/termends
% 0.84/1.18 *** allocated 10000 integers for clauses
% 0.84/1.18 *** allocated 10000 integers for justifications
% 0.84/1.18 Bliksem 1.12
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Automatic Strategy Selection
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Clauses:
% 0.84/1.18
% 0.84/1.18 { ! greater( vmul( vd508, vd511 ), vmul( vd509, vd511 ) ) }.
% 0.84/1.18 { greater( vd511, vd512 ) }.
% 0.84/1.18 { greater( vd508, vd509 ) }.
% 0.84/1.18 { ! less( vmul( X, Z ), vmul( Y, Z ) ), less( X, Y ) }.
% 0.84/1.18 { ! vmul( X, Z ) = vmul( Y, Z ), X = Y }.
% 0.84/1.18 { ! greater( vmul( X, Z ), vmul( Y, Z ) ), greater( X, Y ) }.
% 0.84/1.18 { ! less( X, Y ), less( vmul( X, Z ), vmul( Y, Z ) ) }.
% 0.84/1.18 { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 0.84/1.18 { ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, Z ) ) }.
% 0.84/1.18 { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z ) ) }.
% 0.84/1.18 { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 0.84/1.18 { vmul( X, Y ) = vmul( Y, X ) }.
% 0.84/1.18 { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 0.84/1.18 { vmul( v1, X ) = X }.
% 0.84/1.18 { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 0.84/1.18 { vmul( X, v1 ) = X }.
% 0.84/1.18 { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 0.84/1.18 { ! greater( X, Y ), geq( X, vplus( Y, v1 ) ) }.
% 0.84/1.18 { geq( X, v1 ) }.
% 0.84/1.18 { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.84/1.18 { ! greater( Z, T ), ! geq( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 0.84/1.18 }.
% 0.84/1.18 { ! geq( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 0.84/1.18 }.
% 0.84/1.18 { ! greater( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T
% 0.84/1.18 ) ) }.
% 0.84/1.18 { ! less( vplus( X, Z ), vplus( Y, Z ) ), less( X, Y ) }.
% 0.84/1.18 { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 0.84/1.18 { ! greater( vplus( X, Z ), vplus( Y, Z ) ), greater( X, Y ) }.
% 0.84/1.18 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.84/1.18 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.84/1.18 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.84/1.18 { greater( vplus( X, Y ), X ) }.
% 0.84/1.18 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.84/1.18 { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 0.84/1.18 { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.84/1.18 { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.84/1.18 { ! leq( X, Y ), geq( Y, X ) }.
% 0.84/1.18 { ! geq( X, Y ), leq( Y, X ) }.
% 0.84/1.18 { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.84/1.18 { ! less( Y, X ), leq( Y, X ) }.
% 0.84/1.18 { ! Y = X, leq( Y, X ) }.
% 0.84/1.18 { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.84/1.18 { ! greater( Y, X ), geq( Y, X ) }.
% 0.84/1.18 { ! Y = X, geq( Y, X ) }.
% 0.84/1.18 { ! less( X, Y ), greater( Y, X ) }.
% 0.84/1.18 { ! greater( X, Y ), less( Y, X ) }.
% 0.84/1.18 { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.84/1.18 { ! X = Y, ! less( X, Y ) }.
% 0.84/1.18 { ! greater( X, Y ), ! less( X, Y ) }.
% 0.84/1.18 { ! X = Y, ! greater( X, Y ) }.
% 0.84/1.18 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.84/1.18 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.84/1.18 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.84/1.18 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.84/1.18 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.84/1.18 { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.84/1.18 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.84/1.18 { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.84/1.18 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.84/1.18 { ! Y = vplus( X, Y ) }.
% 0.84/1.18 { vplus( Y, X ) = vplus( X, Y ) }.
% 0.84/1.18 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.84/1.18 { vplus( v1, X ) = vsucc( X ) }.
% 0.84/1.18 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.84/1.18 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.84/1.18 { vplus( X, v1 ) = vsucc( X ) }.
% 0.84/1.18 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.84/1.18 { ! vsucc( X ) = X }.
% 0.84/1.18 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.84/1.18 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.84/1.18 { ! vsucc( X ) = v1 }.
% 0.84/1.18
% 0.84/1.18 percentage equality = 0.393701, percentage horn = 0.926471
% 0.84/1.18 This is a problem with some equality
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Options Used:
% 0.84/1.18
% 0.84/1.18 useres = 1
% 0.84/1.18 useparamod = 1
% 0.84/1.18 useeqrefl = 1
% 0.84/1.18 useeqfact = 1
% 0.84/1.18 usefactor = 1
% 0.84/1.18 usesimpsplitting = 0
% 0.84/1.18 usesimpdemod = 5
% 0.84/1.18 usesimpres = 3
% 0.84/1.18
% 0.84/1.18 resimpinuse = 1000
% 0.84/1.18 resimpclauses = 20000
% 0.84/1.18 substype = eqrewr
% 0.84/1.18 backwardsubs = 1
% 0.84/1.18 selectoldest = 5
% 0.84/1.18
% 0.84/1.18 litorderings [0] = split
% 0.84/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.84/1.18
% 0.84/1.18 termordering = kbo
% 0.84/1.18
% 0.84/1.18 litapriori = 0
% 0.84/1.18 termapriori = 1
% 0.84/1.18 litaposteriori = 0
% 0.84/1.18 termaposteriori = 0
% 0.84/1.18 demodaposteriori = 0
% 0.84/1.18 ordereqreflfact = 0
% 0.84/1.18
% 0.84/1.18 litselect = negord
% 0.84/1.18
% 0.84/1.18 maxweight = 15
% 0.84/1.18 maxdepth = 30000
% 0.84/1.18 maxlength = 115
% 0.84/1.18 maxnrvars = 195
% 0.84/1.18 excuselevel = 1
% 0.84/1.18 increasemaxweight = 1
% 0.84/1.18
% 0.84/1.18 maxselected = 10000000
% 0.84/1.18 maxnrclauses = 10000000
% 0.84/1.18
% 0.84/1.18 showgenerated = 0
% 0.84/1.18 showkept = 0
% 0.84/1.18 showselected = 0
% 0.84/1.18 showdeleted = 0
% 0.84/1.18 showresimp = 1
% 0.84/1.18 showstatus = 2000
% 0.84/1.18
% 0.84/1.18 prologoutput = 0
% 0.84/1.18 nrgoals = 5000000
% 0.84/1.18 totalproof = 1
% 0.84/1.18
% 0.84/1.18 Symbols occurring in the translation:
% 0.84/1.18
% 0.84/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.18 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.84/1.18 ! [4, 1] (w:0, o:120, a:1, s:1, b:0),
% 0.84/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.18 vd508 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.84/1.18 vd511 [36, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.84/1.18 vmul [37, 2] (w:1, o:151, a:1, s:1, b:0),
% 0.84/1.18 vd509 [38, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.84/1.18 greater [39, 2] (w:1, o:152, a:1, s:1, b:0),
% 0.84/1.18 vd512 [40, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.84/1.18 less [44, 2] (w:1, o:153, a:1, s:1, b:0),
% 0.84/1.18 vplus [64, 2] (w:1, o:154, a:1, s:1, b:0),
% 0.84/1.18 vsucc [69, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.84/1.18 v1 [71, 0] (w:1, o:109, a:1, s:1, b:0),
% 0.84/1.18 leq [76, 2] (w:1, o:155, a:1, s:1, b:0),
% 0.84/1.18 geq [79, 2] (w:1, o:156, a:1, s:1, b:0),
% 0.84/1.18 vskolem2 [150, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.84/1.18 skol1 [157, 2] (w:1, o:157, a:1, s:1, b:1),
% 0.84/1.18 skol2 [158, 2] (w:1, o:158, a:1, s:1, b:1),
% 0.84/1.18 skol3 [159, 2] (w:1, o:159, a:1, s:1, b:1),
% 0.84/1.18 skol4 [160, 2] (w:1, o:160, a:1, s:1, b:1).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Starting Search:
% 0.84/1.18
% 0.84/1.18 *** allocated 15000 integers for clauses
% 0.84/1.18
% 0.84/1.18 Bliksems!, er is een bewijs:
% 0.84/1.18 % SZS status Theorem
% 0.84/1.18 % SZS output start Refutation
% 0.84/1.18
% 0.84/1.18 (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd508, vd511 ), vmul( vd509,
% 0.84/1.18 vd511 ) ) }.
% 0.84/1.18 (2) {G0,W3,D2,L1,V0,M1} I { greater( vd508, vd509 ) }.
% 0.84/1.18 (8) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vmul( X, Z ), vmul
% 0.84/1.18 ( Y, Z ) ) }.
% 0.84/1.18 (184) {G1,W0,D0,L0,V0,M0} R(8,0);r(2) { }.
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 % SZS output end Refutation
% 0.84/1.18 found a proof!
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Unprocessed initial clauses:
% 0.84/1.18
% 0.84/1.18 (186) {G0,W7,D3,L1,V0,M1} { ! greater( vmul( vd508, vd511 ), vmul( vd509,
% 0.84/1.18 vd511 ) ) }.
% 0.84/1.18 (187) {G0,W3,D2,L1,V0,M1} { greater( vd511, vd512 ) }.
% 0.84/1.18 (188) {G0,W3,D2,L1,V0,M1} { greater( vd508, vd509 ) }.
% 0.84/1.18 (189) {G0,W10,D3,L2,V3,M2} { ! less( vmul( X, Z ), vmul( Y, Z ) ), less( X
% 0.84/1.18 , Y ) }.
% 0.84/1.18 (190) {G0,W10,D3,L2,V3,M2} { ! vmul( X, Z ) = vmul( Y, Z ), X = Y }.
% 0.84/1.18 (191) {G0,W10,D3,L2,V3,M2} { ! greater( vmul( X, Z ), vmul( Y, Z ) ),
% 0.84/1.18 greater( X, Y ) }.
% 0.84/1.18 (192) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vmul( X, Z ), vmul( Y,
% 0.84/1.18 Z ) ) }.
% 0.84/1.18 (193) {G0,W10,D3,L2,V3,M2} { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 0.84/1.18 (194) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vmul( X, Z ),
% 0.84/1.18 vmul( Y, Z ) ) }.
% 0.84/1.18 (195) {G0,W11,D4,L1,V3,M1} { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z
% 0.84/1.18 ) ) }.
% 0.84/1.18 (196) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y
% 0.84/1.18 ), vmul( X, Z ) ) }.
% 0.84/1.18 (197) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 0.84/1.18 (198) {G0,W10,D4,L1,V2,M1} { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ),
% 0.84/1.18 Y ) }.
% 0.84/1.18 (199) {G0,W5,D3,L1,V1,M1} { vmul( v1, X ) = X }.
% 0.84/1.18 (200) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ),
% 0.84/1.18 X ) }.
% 0.84/1.18 (201) {G0,W5,D3,L1,V1,M1} { vmul( X, v1 ) = X }.
% 0.84/1.18 (202) {G0,W8,D3,L2,V2,M2} { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 0.84/1.18 (203) {G0,W8,D3,L2,V2,M2} { ! greater( X, Y ), geq( X, vplus( Y, v1 ) )
% 0.84/1.18 }.
% 0.84/1.18 (204) {G0,W3,D2,L1,V1,M1} { geq( X, v1 ) }.
% 0.84/1.18 (205) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X,
% 0.84/1.18 Z ), vplus( Y, T ) ) }.
% 0.84/1.18 (206) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! geq( X, Y ), greater(
% 0.84/1.18 vplus( X, Z ), vplus( Y, T ) ) }.
% 0.84/1.18 (207) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! greater( X, Y ), greater(
% 0.84/1.18 vplus( X, Z ), vplus( Y, T ) ) }.
% 0.84/1.18 (208) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y ), greater
% 0.84/1.18 ( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.84/1.18 (209) {G0,W10,D3,L2,V3,M2} { ! less( vplus( X, Z ), vplus( Y, Z ) ), less
% 0.84/1.18 ( X, Y ) }.
% 0.84/1.18 (210) {G0,W10,D3,L2,V3,M2} { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 0.84/1.18 (211) {G0,W10,D3,L2,V3,M2} { ! greater( vplus( X, Z ), vplus( Y, Z ) ),
% 0.84/1.18 greater( X, Y ) }.
% 0.84/1.18 (212) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus( Y
% 0.84/1.18 , Z ) ) }.
% 0.84/1.18 (213) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.84/1.18 (214) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 0.84/1.18 vplus( Y, Z ) ) }.
% 0.84/1.18 (215) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 0.84/1.18 (216) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.84/1.18 (217) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 0.84/1.18 }.
% 0.84/1.18 (218) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.84/1.18 }.
% 0.84/1.18 (219) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.84/1.18 }.
% 0.84/1.18 (220) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 0.84/1.18 (221) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.84/1.18 (222) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.84/1.18 (223) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 0.84/1.18 (224) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 0.84/1.18 (225) {G0,W9,D2,L3,V2,M3} { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.84/1.18 (226) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 0.84/1.18 (227) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 0.84/1.18 (228) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 0.84/1.18 (229) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.84/1.18 (230) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.84/1.18 (231) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 0.84/1.18 (232) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 0.84/1.18 (233) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 0.84/1.18 (234) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) )
% 0.84/1.18 }.
% 0.84/1.18 (235) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.84/1.18 (236) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.84/1.18 ) ) }.
% 0.84/1.18 (237) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.84/1.18 (238) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 0.84/1.18 vplus( X, skol4( X, Y ) ) }.
% 0.84/1.18 (239) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.84/1.18 (240) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.84/1.18 (241) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.84/1.18 (242) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.84/1.18 (243) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 0.84/1.18 (244) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 0.84/1.18 (245) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.84/1.18 ) }.
% 0.84/1.18 (246) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 0.84/1.18 (247) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus(
% 0.84/1.18 Y, Z ) ) }.
% 0.84/1.18 (248) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.84/1.18 ) }.
% 0.84/1.18 (249) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 0.84/1.18 (250) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.84/1.18 (251) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 0.84/1.18 (252) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.84/1.18 (253) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.84/1.18 (254) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Total Proof:
% 0.84/1.18
% 0.84/1.18 subsumption: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd508, vd511 ),
% 0.84/1.18 vmul( vd509, vd511 ) ) }.
% 0.84/1.18 parent0: (186) {G0,W7,D3,L1,V0,M1} { ! greater( vmul( vd508, vd511 ), vmul
% 0.84/1.18 ( vd509, vd511 ) ) }.
% 0.84/1.18 substitution0:
% 0.84/1.18 end
% 0.84/1.18 permutation0:
% 0.84/1.18 0 ==> 0
% 0.84/1.18 end
% 0.84/1.18
% 0.84/1.18 subsumption: (2) {G0,W3,D2,L1,V0,M1} I { greater( vd508, vd509 ) }.
% 0.84/1.18 parent0: (188) {G0,W3,D2,L1,V0,M1} { greater( vd508, vd509 ) }.
% 0.84/1.18 substitution0:
% 0.84/1.18 end
% 0.84/1.18 permutation0:
% 0.84/1.18 0 ==> 0
% 0.84/1.18 end
% 0.84/1.18
% 0.84/1.18 subsumption: (8) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vmul
% 0.84/1.18 ( X, Z ), vmul( Y, Z ) ) }.
% 0.84/1.18 parent0: (194) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vmul( X
% 0.84/1.18 , Z ), vmul( Y, Z ) ) }.
% 0.84/1.18 substitution0:
% 0.84/1.18 X := X
% 0.84/1.18 Y := Y
% 0.84/1.18 Z := Z
% 0.84/1.18 end
% 0.84/1.18 permutation0:
% 0.84/1.18 0 ==> 0
% 0.84/1.18 1 ==> 1
% 0.84/1.18 end
% 0.84/1.18
% 0.84/1.18 resolution: (257) {G1,W3,D2,L1,V0,M1} { ! greater( vd508, vd509 ) }.
% 0.84/1.18 parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd508, vd511 ),
% 0.84/1.18 vmul( vd509, vd511 ) ) }.
% 0.84/1.18 parent1[1]: (8) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vmul(
% 0.84/1.18 X, Z ), vmul( Y, Z ) ) }.
% 0.84/1.18 substitution0:
% 0.84/1.18 end
% 0.84/1.18 substitution1:
% 0.84/1.18 X := vd508
% 0.84/1.18 Y := vd509
% 0.84/1.18 Z := vd511
% 0.84/1.18 end
% 0.84/1.18
% 0.84/1.18 resolution: (258) {G1,W0,D0,L0,V0,M0} { }.
% 0.84/1.18 parent0[0]: (257) {G1,W3,D2,L1,V0,M1} { ! greater( vd508, vd509 ) }.
% 0.84/1.18 parent1[0]: (2) {G0,W3,D2,L1,V0,M1} I { greater( vd508, vd509 ) }.
% 0.85/1.18 substitution0:
% 0.85/1.18 end
% 0.85/1.18 substitution1:
% 0.85/1.18 end
% 0.85/1.18
% 0.85/1.18 subsumption: (184) {G1,W0,D0,L0,V0,M0} R(8,0);r(2) { }.
% 0.85/1.18 parent0: (258) {G1,W0,D0,L0,V0,M0} { }.
% 0.85/1.18 substitution0:
% 0.85/1.18 end
% 0.85/1.18 permutation0:
% 0.85/1.18 end
% 0.85/1.18
% 0.85/1.18 Proof check complete!
% 0.85/1.18
% 0.85/1.18 Memory use:
% 0.85/1.18
% 0.85/1.18 space for terms: 3620
% 0.85/1.18 space for clauses: 11209
% 0.85/1.18
% 0.85/1.18
% 0.85/1.18 clauses generated: 390
% 0.85/1.18 clauses kept: 185
% 0.85/1.18 clauses selected: 36
% 0.85/1.18 clauses deleted: 0
% 0.85/1.18 clauses inuse deleted: 0
% 0.85/1.18
% 0.85/1.18 subsentry: 569
% 0.85/1.18 literals s-matched: 489
% 0.85/1.18 literals matched: 487
% 0.85/1.18 full subsumption: 260
% 0.85/1.18
% 0.85/1.18 checksum: -1909157051
% 0.85/1.18
% 0.85/1.18
% 0.85/1.18 Bliksem ended
%------------------------------------------------------------------------------