TSTP Solution File: NUM850+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM850+2 : 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 06:27:04 EDT 2022
% Result : Theorem 0.81s 1.23s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM850+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jul 5 23:55:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.81/1.23 *** allocated 10000 integers for termspace/termends
% 0.81/1.23 *** allocated 10000 integers for clauses
% 0.81/1.23 *** allocated 10000 integers for justifications
% 0.81/1.23 Bliksem 1.12
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23 Automatic Strategy Selection
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23 Clauses:
% 0.81/1.23
% 0.81/1.23 { ! vd470 = vplus( vd471, X ) }.
% 0.81/1.23 { greater( vd470, vd471 ) }.
% 0.81/1.23 { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z ) ) }.
% 0.81/1.23 { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 0.81/1.23 { vmul( X, Y ) = vmul( Y, X ) }.
% 0.81/1.23 { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 0.81/1.23 { vmul( v1, X ) = X }.
% 0.81/1.23 { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 0.81/1.23 { vmul( X, v1 ) = X }.
% 0.81/1.23 { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 0.81/1.23 { ! greater( X, Y ), geq( X, vplus( Y, v1 ) ) }.
% 0.81/1.23 { geq( X, v1 ) }.
% 0.81/1.23 { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.81/1.23 { ! greater( Z, T ), ! geq( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 0.81/1.23 }.
% 0.81/1.23 { ! geq( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 0.81/1.23 }.
% 0.81/1.23 { ! greater( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T
% 0.81/1.23 ) ) }.
% 0.81/1.23 { ! less( vplus( X, Z ), vplus( Y, Z ) ), less( X, Y ) }.
% 0.81/1.23 { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 0.81/1.23 { ! greater( vplus( X, Z ), vplus( Y, Z ) ), greater( X, Y ) }.
% 0.81/1.23 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.81/1.23 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.81/1.23 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.81/1.23 { greater( vplus( X, Y ), X ) }.
% 0.81/1.23 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.81/1.23 { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 0.81/1.23 { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.81/1.23 { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.81/1.23 { ! leq( X, Y ), geq( Y, X ) }.
% 0.81/1.23 { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.81/1.23 { ! less( Y, X ), leq( Y, X ) }.
% 0.81/1.23 { ! Y = X, leq( Y, X ) }.
% 0.81/1.23 { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.81/1.23 { ! greater( Y, X ), geq( Y, X ) }.
% 0.81/1.23 { ! Y = X, geq( Y, X ) }.
% 0.81/1.23 { ! less( X, Y ), greater( Y, X ) }.
% 0.81/1.23 { ! greater( X, Y ), less( Y, X ) }.
% 0.81/1.23 { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.81/1.23 { ! X = Y, ! less( X, Y ) }.
% 0.81/1.23 { ! greater( X, Y ), ! less( X, Y ) }.
% 0.81/1.23 { ! X = Y, ! greater( X, Y ) }.
% 0.81/1.23 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.81/1.23 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.81/1.23 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.81/1.23 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.81/1.23 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.81/1.23 { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.81/1.23 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.81/1.23 { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.81/1.23 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.81/1.23 { ! Y = vplus( X, Y ) }.
% 0.81/1.23 { vplus( Y, X ) = vplus( X, Y ) }.
% 0.81/1.23 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.81/1.23 { vplus( v1, X ) = vsucc( X ) }.
% 0.81/1.23 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.81/1.23 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.81/1.23 { vplus( X, v1 ) = vsucc( X ) }.
% 0.81/1.23 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.81/1.23 { ! vsucc( X ) = X }.
% 0.81/1.23 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.81/1.23 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.81/1.23 { ! vsucc( X ) = v1 }.
% 0.81/1.23
% 0.81/1.23 percentage equality = 0.419643, percentage horn = 0.916667
% 0.81/1.23 This is a problem with some equality
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23 Options Used:
% 0.81/1.23
% 0.81/1.23 useres = 1
% 0.81/1.23 useparamod = 1
% 0.81/1.23 useeqrefl = 1
% 0.81/1.23 useeqfact = 1
% 0.81/1.23 usefactor = 1
% 0.81/1.23 usesimpsplitting = 0
% 0.81/1.23 usesimpdemod = 5
% 0.81/1.23 usesimpres = 3
% 0.81/1.23
% 0.81/1.23 resimpinuse = 1000
% 0.81/1.23 resimpclauses = 20000
% 0.81/1.23 substype = eqrewr
% 0.81/1.23 backwardsubs = 1
% 0.81/1.23 selectoldest = 5
% 0.81/1.23
% 0.81/1.23 litorderings [0] = split
% 0.81/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.23
% 0.81/1.23 termordering = kbo
% 0.81/1.23
% 0.81/1.23 litapriori = 0
% 0.81/1.23 termapriori = 1
% 0.81/1.23 litaposteriori = 0
% 0.81/1.23 termaposteriori = 0
% 0.81/1.23 demodaposteriori = 0
% 0.81/1.23 ordereqreflfact = 0
% 0.81/1.23
% 0.81/1.23 litselect = negord
% 0.81/1.23
% 0.81/1.23 maxweight = 15
% 0.81/1.23 maxdepth = 30000
% 0.81/1.23 maxlength = 115
% 0.81/1.23 maxnrvars = 195
% 0.81/1.23 excuselevel = 1
% 0.81/1.23 increasemaxweight = 1
% 0.81/1.23
% 0.81/1.23 maxselected = 10000000
% 0.81/1.23 maxnrclauses = 10000000
% 0.81/1.23
% 0.81/1.23 showgenerated = 0
% 0.81/1.23 showkept = 0
% 0.81/1.23 showselected = 0
% 0.81/1.23 showdeleted = 0
% 0.81/1.23 showresimp = 1
% 0.81/1.23 showstatus = 2000
% 0.81/1.23
% 0.81/1.23 prologoutput = 0
% 0.81/1.23 nrgoals = 5000000
% 0.81/1.23 totalproof = 1
% 0.81/1.23
% 0.81/1.23 Symbols occurring in the translation:
% 0.81/1.23
% 0.81/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.23 . [1, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.81/1.23 ! [4, 1] (w:0, o:101, a:1, s:1, b:0),
% 0.81/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.23 vd470 [36, 0] (w:1, o:73, a:1, s:1, b:0),
% 0.81/1.23 vd471 [37, 0] (w:1, o:74, a:1, s:1, b:0),
% 0.81/1.23 vplus [38, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.81/1.23 greater [39, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.81/1.23 vmul [43, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.81/1.23 vsucc [51, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.81/1.23 v1 [53, 0] (w:1, o:88, a:1, s:1, b:0),
% 0.81/1.23 less [58, 2] (w:1, o:135, a:1, s:1, b:0),
% 0.81/1.23 leq [59, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.81/1.23 geq [62, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.81/1.23 vskolem2 [131, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.81/1.23 skol1 [138, 2] (w:1, o:138, a:1, s:1, b:1),
% 0.81/1.23 skol2 [139, 2] (w:1, o:139, a:1, s:1, b:1),
% 0.81/1.23 skol3 [140, 2] (w:1, o:140, a:1, s:1, b:1),
% 0.81/1.23 skol4 [141, 2] (w:1, o:141, a:1, s:1, b:1).
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23 Starting Search:
% 0.81/1.23
% 0.81/1.23 *** allocated 15000 integers for clauses
% 0.81/1.23 *** allocated 22500 integers for clauses
% 0.81/1.23 *** allocated 33750 integers for clauses
% 0.81/1.23 *** allocated 50625 integers for clauses
% 0.81/1.23 *** allocated 15000 integers for termspace/termends
% 0.81/1.23 *** allocated 75937 integers for clauses
% 0.81/1.23 Resimplifying inuse:
% 0.81/1.23 Done
% 0.81/1.23
% 0.81/1.23 *** allocated 22500 integers for termspace/termends
% 0.81/1.23 *** allocated 113905 integers for clauses
% 0.81/1.23 *** allocated 33750 integers for termspace/termends
% 0.81/1.23
% 0.81/1.23 Bliksems!, er is een bewijs:
% 0.81/1.23 % SZS status Theorem
% 0.81/1.23 % SZS output start Refutation
% 0.81/1.23
% 0.81/1.23 (0) {G0,W5,D3,L1,V1,M1} I { ! vplus( vd471, X ) ==> vd470 }.
% 0.81/1.23 (1) {G0,W3,D2,L1,V0,M1} I { greater( vd470, vd471 ) }.
% 0.81/1.23 (35) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X ) }.
% 0.81/1.23 (40) {G0,W10,D4,L2,V2,M2} I { ! less( Y, X ), vplus( Y, skol1( X, Y ) ) ==>
% 0.81/1.23 X }.
% 0.81/1.23 (98) {G1,W3,D2,L1,V0,M1} R(35,1) { less( vd471, vd470 ) }.
% 0.81/1.23 (1943) {G2,W0,D0,L0,V0,M0} R(40,98);r(0) { }.
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23 % SZS output end Refutation
% 0.81/1.23 found a proof!
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23 Unprocessed initial clauses:
% 0.81/1.23
% 0.81/1.23 (1945) {G0,W5,D3,L1,V1,M1} { ! vd470 = vplus( vd471, X ) }.
% 0.81/1.23 (1946) {G0,W3,D2,L1,V0,M1} { greater( vd470, vd471 ) }.
% 0.81/1.23 (1947) {G0,W11,D4,L1,V3,M1} { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y,
% 0.81/1.23 Z ) ) }.
% 0.81/1.23 (1948) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y
% 0.81/1.23 ), vmul( X, Z ) ) }.
% 0.81/1.23 (1949) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 0.81/1.23 (1950) {G0,W10,D4,L1,V2,M1} { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y )
% 0.81/1.23 , Y ) }.
% 0.81/1.23 (1951) {G0,W5,D3,L1,V1,M1} { vmul( v1, X ) = X }.
% 0.81/1.23 (1952) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y )
% 0.81/1.23 , X ) }.
% 0.81/1.23 (1953) {G0,W5,D3,L1,V1,M1} { vmul( X, v1 ) = X }.
% 0.81/1.23 (1954) {G0,W8,D3,L2,V2,M2} { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 0.81/1.23 (1955) {G0,W8,D3,L2,V2,M2} { ! greater( X, Y ), geq( X, vplus( Y, v1 ) )
% 0.81/1.23 }.
% 0.81/1.23 (1956) {G0,W3,D2,L1,V1,M1} { geq( X, v1 ) }.
% 0.81/1.23 (1957) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X
% 0.81/1.23 , Z ), vplus( Y, T ) ) }.
% 0.81/1.23 (1958) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! geq( X, Y ), greater(
% 0.81/1.23 vplus( X, Z ), vplus( Y, T ) ) }.
% 0.81/1.23 (1959) {G0,W13,D3,L3,V4,M3} { ! geq( Z, T ), ! greater( X, Y ), greater(
% 0.81/1.23 vplus( X, Z ), vplus( Y, T ) ) }.
% 0.81/1.23 (1960) {G0,W13,D3,L3,V4,M3} { ! greater( Z, T ), ! greater( X, Y ),
% 0.81/1.23 greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.81/1.23 (1961) {G0,W10,D3,L2,V3,M2} { ! less( vplus( X, Z ), vplus( Y, Z ) ), less
% 0.81/1.23 ( X, Y ) }.
% 0.81/1.23 (1962) {G0,W10,D3,L2,V3,M2} { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 0.81/1.23 (1963) {G0,W10,D3,L2,V3,M2} { ! greater( vplus( X, Z ), vplus( Y, Z ) ),
% 0.81/1.23 greater( X, Y ) }.
% 0.81/1.23 (1964) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus(
% 0.81/1.23 Y, Z ) ) }.
% 0.81/1.23 (1965) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.81/1.23 (1966) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 0.81/1.23 vplus( Y, Z ) ) }.
% 0.81/1.23 (1967) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 0.81/1.23 (1968) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.81/1.23 (1969) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 0.81/1.23 }.
% 0.81/1.23 (1970) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.81/1.23 }.
% 0.81/1.23 (1971) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.81/1.23 }.
% 0.81/1.23 (1972) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 0.81/1.23 (1973) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.81/1.23 (1974) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 0.81/1.23 (1975) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 0.81/1.23 (1976) {G0,W9,D2,L3,V2,M3} { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.81/1.23 (1977) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 0.81/1.23 (1978) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 0.81/1.23 (1979) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 0.81/1.23 (1980) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.81/1.23 (1981) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.81/1.23 (1982) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 0.81/1.23 (1983) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 0.81/1.23 (1984) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 0.81/1.23 (1985) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 0.81/1.23 ) }.
% 0.81/1.23 (1986) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.81/1.23 (1987) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.81/1.23 ) ) }.
% 0.81/1.23 (1988) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.81/1.23 (1989) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 0.81/1.23 vplus( X, skol4( X, Y ) ) }.
% 0.81/1.23 (1990) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.81/1.23 (1991) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.81/1.23 (1992) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.81/1.23 (1993) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.81/1.23 (1994) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 0.81/1.23 (1995) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 0.81/1.23 (1996) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.81/1.23 ) }.
% 0.81/1.23 (1997) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 0.81/1.23 (1998) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 0.81/1.23 ( Y, Z ) ) }.
% 0.81/1.23 (1999) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.81/1.23 ) }.
% 0.81/1.23 (2000) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 0.81/1.23 (2001) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.81/1.23 (2002) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 0.81/1.23 (2003) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.81/1.23 (2004) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.81/1.23 (2005) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23 Total Proof:
% 0.81/1.23
% 0.81/1.23 eqswap: (2006) {G0,W5,D3,L1,V1,M1} { ! vplus( vd471, X ) = vd470 }.
% 0.81/1.23 parent0[0]: (1945) {G0,W5,D3,L1,V1,M1} { ! vd470 = vplus( vd471, X ) }.
% 0.81/1.23 substitution0:
% 0.81/1.23 X := X
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 subsumption: (0) {G0,W5,D3,L1,V1,M1} I { ! vplus( vd471, X ) ==> vd470 }.
% 0.81/1.23 parent0: (2006) {G0,W5,D3,L1,V1,M1} { ! vplus( vd471, X ) = vd470 }.
% 0.81/1.23 substitution0:
% 0.81/1.23 X := X
% 0.81/1.23 end
% 0.81/1.23 permutation0:
% 0.81/1.23 0 ==> 0
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 subsumption: (1) {G0,W3,D2,L1,V0,M1} I { greater( vd470, vd471 ) }.
% 0.81/1.23 parent0: (1946) {G0,W3,D2,L1,V0,M1} { greater( vd470, vd471 ) }.
% 0.81/1.23 substitution0:
% 0.81/1.23 end
% 0.81/1.23 permutation0:
% 0.81/1.23 0 ==> 0
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 subsumption: (35) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 0.81/1.23 }.
% 0.81/1.23 parent0: (1980) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.81/1.23 substitution0:
% 0.81/1.23 X := X
% 0.81/1.23 Y := Y
% 0.81/1.23 end
% 0.81/1.23 permutation0:
% 0.81/1.23 0 ==> 0
% 0.81/1.23 1 ==> 1
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 eqswap: (2045) {G0,W10,D4,L2,V2,M2} { vplus( Y, skol1( X, Y ) ) = X, !
% 0.81/1.23 less( Y, X ) }.
% 0.81/1.23 parent0[1]: (1985) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y,
% 0.81/1.23 skol1( X, Y ) ) }.
% 0.81/1.23 substitution0:
% 0.81/1.23 X := X
% 0.81/1.23 Y := Y
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 subsumption: (40) {G0,W10,D4,L2,V2,M2} I { ! less( Y, X ), vplus( Y, skol1
% 0.81/1.23 ( X, Y ) ) ==> X }.
% 0.81/1.23 parent0: (2045) {G0,W10,D4,L2,V2,M2} { vplus( Y, skol1( X, Y ) ) = X, !
% 0.81/1.23 less( Y, X ) }.
% 0.81/1.23 substitution0:
% 0.81/1.23 X := X
% 0.81/1.23 Y := Y
% 0.81/1.23 end
% 0.81/1.23 permutation0:
% 0.81/1.23 0 ==> 1
% 0.81/1.23 1 ==> 0
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 resolution: (2046) {G1,W3,D2,L1,V0,M1} { less( vd471, vd470 ) }.
% 0.81/1.23 parent0[0]: (35) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 0.81/1.23 }.
% 0.81/1.23 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { greater( vd470, vd471 ) }.
% 0.81/1.23 substitution0:
% 0.81/1.23 X := vd470
% 0.81/1.23 Y := vd471
% 0.81/1.23 end
% 0.81/1.23 substitution1:
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 subsumption: (98) {G1,W3,D2,L1,V0,M1} R(35,1) { less( vd471, vd470 ) }.
% 0.81/1.23 parent0: (2046) {G1,W3,D2,L1,V0,M1} { less( vd471, vd470 ) }.
% 0.81/1.23 substitution0:
% 0.81/1.23 end
% 0.81/1.23 permutation0:
% 0.81/1.23 0 ==> 0
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 eqswap: (2047) {G0,W10,D4,L2,V2,M2} { Y ==> vplus( X, skol1( Y, X ) ), !
% 0.81/1.23 less( X, Y ) }.
% 0.81/1.23 parent0[1]: (40) {G0,W10,D4,L2,V2,M2} I { ! less( Y, X ), vplus( Y, skol1(
% 0.81/1.23 X, Y ) ) ==> X }.
% 0.81/1.23 substitution0:
% 0.81/1.23 X := Y
% 0.81/1.23 Y := X
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 eqswap: (2048) {G0,W5,D3,L1,V1,M1} { ! vd470 ==> vplus( vd471, X ) }.
% 0.81/1.23 parent0[0]: (0) {G0,W5,D3,L1,V1,M1} I { ! vplus( vd471, X ) ==> vd470 }.
% 0.81/1.23 substitution0:
% 0.81/1.23 X := X
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 resolution: (2049) {G1,W7,D4,L1,V0,M1} { vd470 ==> vplus( vd471, skol1(
% 0.81/1.23 vd470, vd471 ) ) }.
% 0.81/1.23 parent0[1]: (2047) {G0,W10,D4,L2,V2,M2} { Y ==> vplus( X, skol1( Y, X ) )
% 0.81/1.23 , ! less( X, Y ) }.
% 0.81/1.23 parent1[0]: (98) {G1,W3,D2,L1,V0,M1} R(35,1) { less( vd471, vd470 ) }.
% 0.81/1.23 substitution0:
% 0.81/1.23 X := vd471
% 0.81/1.23 Y := vd470
% 0.81/1.23 end
% 0.81/1.23 substitution1:
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 resolution: (2050) {G1,W0,D0,L0,V0,M0} { }.
% 0.81/1.23 parent0[0]: (2048) {G0,W5,D3,L1,V1,M1} { ! vd470 ==> vplus( vd471, X ) }.
% 0.81/1.23 parent1[0]: (2049) {G1,W7,D4,L1,V0,M1} { vd470 ==> vplus( vd471, skol1(
% 0.81/1.23 vd470, vd471 ) ) }.
% 0.81/1.23 substitution0:
% 0.81/1.23 X := skol1( vd470, vd471 )
% 0.81/1.23 end
% 0.81/1.23 substitution1:
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 subsumption: (1943) {G2,W0,D0,L0,V0,M0} R(40,98);r(0) { }.
% 0.81/1.23 parent0: (2050) {G1,W0,D0,L0,V0,M0} { }.
% 0.81/1.23 substitution0:
% 0.81/1.23 end
% 0.81/1.23 permutation0:
% 0.81/1.23 end
% 0.81/1.23
% 0.81/1.23 Proof check complete!
% 0.81/1.23
% 0.81/1.23 Memory use:
% 0.81/1.23
% 0.81/1.23 space for terms: 26369
% 0.81/1.23 space for clauses: 97393
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23 clauses generated: 3540
% 0.81/1.23 clauses kept: 1944
% 0.81/1.23 clauses selected: 129
% 0.81/1.23 clauses deleted: 2
% 0.81/1.23 clauses inuse deleted: 0
% 0.81/1.23
% 0.81/1.23 subsentry: 11962
% 0.81/1.23 literals s-matched: 10017
% 0.81/1.23 literals matched: 10001
% 0.81/1.23 full subsumption: 3864
% 0.81/1.23
% 0.81/1.23 checksum: 117231668
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23 Bliksem ended
%------------------------------------------------------------------------------